diff --git "a/data/dm_maths/full_data_1/2127_11255.jsonl" "b/data/dm_maths/full_data_1/2127_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2127_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g(q) = 4*q**2. Let u(b) = -1307*b. Give g(u(a)).\nAnswer: 6832996*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10023 + 10023 + 2*f**2. Let m(u) = -37 - 2*u + 2*u + u**2. Calculate s(m(q)).\nAnswer: 2*q**4 - 148*q**2 + 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f + 150. Let m(u) = -4*u - 100. Determine -8*m(y) - 5*w(y).\nAnswer: 2*y + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 235839*d**3 - 157154*d**2 - 48*d.\nAnswer: d*(3*d - 2)*(78613*d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1575 - 835. What are the prime factors of f?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*u + u = -30, -c + 3*u = -2. Let r be (33\/11)\/(1\/c). Let w = -1 + r. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/17 - -69\/85. Let f = -629\/5 + 126. Let x be -3*-1*(-1)\/(-3). Which is the second biggest value? (a) x (b) 5 (c) s (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y**5 - 1173*y**4 + 98451*y**3 + 19737*y**2 = 0. What is y?\nAnswer: -129, -1\/5, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 70*x - 85. Let o(q) = q + 1. Let y(i) = -9*i + 2. Let h(r) = -4*o(r) - y(r). Determine -85*h(g) + 6*p(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10651892 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, g: 10, f: 1}. What is prob of sequence fcc?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5307 = z, z + 106 = -v + 1429. List the prime factors of v.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let q be 0\/(-5) - (0 - 2). Let v(w) = 3*w**2 - w**2 + 0*w**q. Calculate v(x(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.4052 months in decades?\nAnswer: 0.86171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*h = 0, 3*o - 4*h + 6*h = 0. Sort 77, 0.4, o, 0.2.\nAnswer: o, 0.2, 0.4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*n**3 - 2*n**2*v + 131756*n**2 + 32433424*v wrt n?\nAnswer: 33*n**2 - 4*n*v + 263512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189381499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 30 = 4*n, -17 - 11 = 4*b + 4*n. Let y = 1359\/5 - 273. Does y = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2952267 and 0.25.\nAnswer: -2952266.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20544.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 400, 4236, 14656, 34954, 68424, 118360, 188056, 280806?\n\"Answer: 549*c**3 - 2*c**2 - c - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*n = 3, -5*l - 2*n = -n + 1. Let f = -1 - -9. Suppose l = 3*m - 12, -2*m = -3*h + f*h - 268. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58795658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16206684?\nAnswer: 2, 3, 13, 103889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let q = f + -7. Let p = q + 10. Solve -p*t - 3*u + 2 = 0, -2*t - 3*u = 1 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:20 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(130) + sqrt(130))\/sqrt(10) + sqrt(13) - -6*(sqrt(13) + -2)) + 1)*5.\nAnswer: -55 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 2164.\nAnswer: 15\/1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 40 = -0*j. Suppose 24*o + j = 29*o. Suppose -o*v = 4*v - 120. What is the greatest common divisor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from wqxpwpdqdpdxqde?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12975*s + 7 + 12959*s + 9)*(-1 + 2 - 3).\nAnswer: 32*s - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -676638 + 1?\nAnswer: -676637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -403634?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 22*o**2 - 23*o + 20. Let g be m(-23). Calculate the greatest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210211221110110 + -122?\nAnswer: 210211221102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241527 and 34749?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.5 (c) -2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*h**3 - 290*h + 292*h**3 + 290*h.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3\/3 + 69432*n**2 - 3542260*n\/3 - 1250184 = 0.\nAnswer: -52091, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25205*q**4 + 859100*q**3 - 5315105*q**2 + 444570*q - 9360 = 0.\nAnswer: 3\/71, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20043?\nAnswer: 3, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = q + 25, x + 0*x = 5*q + 98. Suppose -h - 15 = -6*h. Put -3, h, q in descending order.\nAnswer: h, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*i + 37*i**2 + 62*i as r*i + p*i**2 + c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**2 + s + 15 + 28 + 7 - 9 - 41.\nAnswer: 30*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5220 + -5228. Let u(d) = 6*d + 8. Let r = -7 - -13. Let w(f) = 5*f + 7. Let o(l) = r*u(l) - 7*w(l). What is o(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93088330?\nAnswer: 2, 5, 1217, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let a = 2 + y. Solve -3*w = 2*w - a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 10*b**2 - 13*b + 24. Let h be d(11). Suppose 0 = -k + 4*r - h + 4, 4*k = 2*r + 8. List the prime factors of (-457)\/(-3) + k\/(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 12 = 4*o, -12 = 5*c - o + 2*o. Let x(b) = b**3 + 2*b**2 + b. Let q be x(c). What are the prime factors of q\/9 - (-184)\/18?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(297)\/(sqrt(22)\/sqrt(2)).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -129, -189?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 8*w**2 - 8*w - 40. Let r be y(-8). Suppose -12*p + r = -36. Solve p*f - f = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352860 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 50*i**2 - 560*i - 1412. What is g(23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j. Suppose -15 = -6*h + h. Solve 22 = 5*l + c - 2*c, j = -4*l - h*c + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 0, -2\/133 in decreasing order.\nAnswer: 0.24, 0, -2\/133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052610 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -495*m - 149979. Give a(-303).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.067 from 336882.27.\nAnswer: 336882.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.007 (b) -4\/3 (c) 37 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 4*n + 7. Let r be w(5). Find the second derivative of 0*s - 5*s + 6*s**2 - 5*s**r wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (-21 + 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**3 + 3342*d**2 + 207801*d - 211140 = 0.\nAnswer: -60, 1, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-585)\/(-52))\/(-15)*-4)\/((-1863)\/46).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -5\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7286211483.1017 + -0.2?\nAnswer: 7286211482.9017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4671401, -4671429, -4671461, -4671497, -4671537?\nAnswer: -4671581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.8 (b) 1.62685 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l + 200000. Let d = -13 + 9. Let n(o) = o**2 + 4*o. Let b be n(d). Let c be u(b). Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-49)\/(-42) + (-6)\/9)*270. Calculate the greatest common divisor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 48*p - 203. List the prime factors of u(-105).\nAnswer: 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, i: 1}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 176472 (base 9) to base 6\nAnswer: 2204015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/(4\/40). Let s(a) = -a - 26. Let i = 0 - 30. Let y be s(i). Solve y*h - 4 = -4*t + f, -2 = -2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v\/(v\/(v**(3\/7)*v)))\/v))\/v)\/v)\/(v**(-23)*v))\/(v**(-7))**(-2\/5) assuming v is positive.\nAnswer: v**(622\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(8)*-1))\/(sqrt(4) + (-4*sqrt(8)\/sqrt(2) - sqrt(4))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 4*n**3 + n**3)*(1 + 1 + 3)*(4*n**2 - 2*n**2 + 0*n**2) + (-9*n - 19 + 19)*(2*n**4 - n**4 + 0*n**4).\nAnswer: -19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*-2*sqrt(833) + 2)*4*3)**2*2.\nAnswer: -59136*sqrt(17) + 15354824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19182, 20264, 22064, 24582?\nAnswer: 27818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1\/8*f**2 - 3\/2 + 1\/8*f = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1451 + -1400. Solve -9*w = -z + 96 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = -3*d. Suppose 3*b - 20 = -d*b. Suppose 0 = -b*k + 8*k - 60. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319, 16, 5, 4, 2\/9 in decreasing order.\nAnswer: 319, 16, 5, 4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**3 + 3*t**2 - 5. Let b(h) = -h**3 + h**2 - 1. Calculate -5*b(w) + o(w).\nAnswer: -3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 1, k: 6, h: 2, v: 5, c: 1}. What is prob of sequence ikct?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 9, 1, 0 in descending order.\nAnswer: 54, 9, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12880348.\nAnswer: 2, 13, 67, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k + 3. Let h be s(0). Suppose -4*a + 5*t + 208 = 0, h*a - 3*t = -0*t + 159. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**9*l)\/(l*l\/(l**3\/l)*l))**(-1\/40)*l*l\/(l*l**4*l)*l*l*l**(-6)*l*(l**(2\/3)*l)**(5\/7) assuming l is positive.\nAnswer: l**(-509\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = x - 5, k - 2*x + 6 = 0. Suppose -3*o - 5*s + 34 = -2*o, o + s = 14. Suppose k*d - o = d. What is the remainder when 5 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-15))\/((-2)\/(-30)). Solve -d**3 - 4*d**2 + 0*d**3 + d - a*d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -768200 to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eooee. What is prob of picking 3 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532682 (base 9) to base 11.\nAnswer: -1a7143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*v + 6, -1 = f + 4. Let k be v + 0 - (3 - 0). Is (4 - 28\/5)*k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587123439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**2 + 34*p**2 - 79*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-60) - 24\/(-10). Suppose l*p = -7 - 3. Let c(y) = -2*y**3 - 6*y**2 - 7*y + 2. What is the remainder when c(p) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/t**(-17)*t)*t**(11\/3))**(-20\/3) assuming t is positive.\nAnswer: t**(860\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 92*m - 14. What are the prime factors of p(4)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b + 3*b**2 - 61*b - b**2.\nAnswer: 2*b**2 - 52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5774 is divided by 5767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -79 + 1431. Let r = l - 168. What is the nearest to 2\/3 in r, -3, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 7*t - 1. Let i = 8 - 14. Suppose -m = -3*n + 30, 3*m + 16 = 2*n + m. Calculate the least common multiple of n and c(i).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:29 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*15 - ((-21912)\/(-44))\/83?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*p + 217499, -p = -0*j - 5*j - 72503. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k. Let r(a) = -693336*a. What is n(r(p))?\nAnswer: 5546688*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -0.4. Suppose -3*p = -p - 6. Let z be (7 - 4) + (-7)\/p. What is the nearest to z in -1\/3, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 21. Let b = 3.5 - w. Let n = -3.6 + b. What is the second smallest value in -5, n, 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25 and 113\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*k - 6*z + 3*z, 5*z + 12 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143476022 is divided by 4015.\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 75 = -18*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 4, m: 2, a: 2, d: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 + -204. Suppose 6*f = j + 180. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3 - 145*o**2 + 1030*o - 1520 = 0.\nAnswer: 2, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/71 and 32\/9?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oybyyybygybygbbyyb. Give prob of sequence yy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 707 + -574. Find the second derivative of 30725 + 14*k - 30725 + g*k**5 wrt k.\nAnswer: 2660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 59012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245426, 245419, 245412, 245405, 245398, 245391?\nAnswer: 245384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -68, -80, -110, -164, -248, -368?\n\"Answer: -i**3 + 7*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - 4*w - 1. Let n be y(5). Suppose -n*m + 68 = 2*c, 0 = 4*m - 4*c - 47 + 3. Suppose 4*l = 5*l - m. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p\/p**(2\/37)*p)\/p*p)*p*p\/(p*p\/p**(-13)))\/(p\/p**5)**(29\/3))**18 assuming p is positive.\nAnswer: p**(15132\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 1, 0.2, -2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50351884.00000052 + -50351883. Let l = 0.7 + 0.3. Let w = l - o. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -23091.\nAnswer: 110\/23091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.4996. Let u = y + -72.4004. Let i = u - -61. What is i rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/((-14)\/2548). Suppose 0 = -u - 4*r + n, -u + 0*u - 2*r + 279 = 0. Does 57 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 + 4. Let w be n(-6). Suppose -25 = w*r + 43. Let i = 22 + r. Solve 0 = a + 4*v - 2*v - 2, -a + i*v - 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/1 + 1. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 103*z - 1954. What is h(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -157*o + 3464. Does 68 divide z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 310 in -2, 4, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 950904427 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2421.41\nAnswer: -2421.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1. Let i(r) = -7*r - 2. Let n(v) = -4*d(v) - i(v). Let a(j) = -6*j + 2. Determine 6*a(s) + 5*n(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258402008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145268 and 1840.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8bcf (base 16) to base 15\nAnswer: -a911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 + 324 = -5*z + 40*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832906408.\nAnswer: 2, 17, 1367, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -507a?\nAnswer: -507b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1787212 and 1736?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 479746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*g*h**3 + 305471*a*g*h**2 + 4*g*h**3 - 4*g + 688*h**2 - 7*h wrt a?\nAnswer: g*h**3 + 305471*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 28 - 28 = 0. Let v = j - -46. Let b = 397 + -390. Solve -4*k - v = 5*s, -5*s - k = -b + 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49313 + 252*s**4 - 49313 + 808*s**4)*(1 + 0 + 0).\nAnswer: 1060*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 4800.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*i - 15, -929*i + 5*a - 32 = -927*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0021931 and 6671.\nAnswer: 6671.0021931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**5 - 7*z**4 + 3*z**2 + 7*z. Let w(r) = 2*r**5 - 4*r**4 + r**2 + 4*r. Let k(p) = 4*b(p) - 7*w(p). What is the third derivative of k(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a - 4. Let t be m(-4). Let i = -32 + 48. What is the second derivative of -t*g**3 + i*g**3 - 5*g - 8*g**5 wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 2, s: 3, o: 1, t: 1, h: 8}. Give prob of sequence wogh.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 46 + 20 = 0. Calculate the least common multiple of 10 and (-7 - (-12)\/4) + (-44)\/q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let l(n) = n - 12. Let g be l(10). Let u(h) = -h. Let q(t) = g*u(t) + 3*w(t). Let r(c) = -3*c - 1. Determine -2*q(z) + r(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 4. Let g be ((-12)\/(-18) - -1)*18\/40. What is the second biggest value in k, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-16)\/(-4032) - (-155)\/450\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = 2. Let y(l) = -38*l**3 + 2*l**2 + 2*l + 9. Let s be y(a). Let z = s + -257. What is z rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 + 62*d + 765 = 0.\nAnswer: -45, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.94 (c) 0.2 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.66 - -33.66. Let p = 390917 - 390884.0038. Let n = j - p. What is n rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1983168 + 20264*r**2 + 1983168 as g*r**2 + y + c*r and give g.\nAnswer: 20264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from bqbqbbqbqwjbbbj.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = -2. Let q be (465\/124)\/(12\/16). Sort 4, o, -1, q.\nAnswer: -1, o, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12034 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:35 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, 45, -4.\nAnswer: -4, 2, 19, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11609 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o**(2\/15))**(-11\/3))**(-16\/5) assuming o is positive.\nAnswer: o**(-704\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 2 - (1 - -3). Suppose 3*j - j = s. Let b = -7 + 9. Solve j*w + w = -5*u + 15, 0 = -3*w - b*u + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/51 + -67\/408. Let r be 4\/(-6) - (-5 - -4). Sort r, -3, f.\nAnswer: -3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088.1 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*v - v - 20, 0 = x + v. Let t = 53410 + -53418. Which is the fourth biggest value? (a) 1\/4 (b) t (c) x (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 2\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x - 27*x + 74*x - 6*x. Let z(d) = 21*d - 2. Calculate z(m(q)).\nAnswer: 567*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 25 = -18*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 7. Let d = j + -15. Let k = d - -15.9999974. Round k to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrb when four letters picked without replacement from {o: 2, u: 1, r: 4, b: 6, t: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*b - 240 = -39*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-23)*s*((s\/(s*s\/(s*s*s*s**(-3\/22)*s*s*s)))\/s)\/s*(s\/(s*s*((s*s**(-29)*s*s)\/s)\/s))\/(s\/s**(-32)))**16 assuming s is positive.\nAnswer: s**(4024\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -73) + -11 + -41\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1170 and 4628130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 1842960952 - 1842960952 - 29*w.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(-3*h**3 + 12*h**3 - 8*h**3 - h).\nAnswer: -2*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -123 + 10*d + 123. Let l(k) = -3*k**2 + 0*k**2 + 4*k**2. Calculate l(v(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 30772\/8291?\nAnswer: 30772\/8291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125718 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 257*d**3*i - d**3 - d**2 - d*i + 79603*i wrt d?\nAnswer: 771*d**2*i - 3*d**2 - 2*d - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j + 3. Let x be n(4). Let o(d) = d**3 - 4*d**2 + 5*d - 2. Let b be o(x). Suppose -7*f + b*f = 0. Solve f = 3*i - i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.1 (c) 4 (d) 0.12 (e) 103 (f) 3 (g) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 40308?\nAnswer: -1\/10077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - n**3 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346091 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (2 + 21 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -30 + 15 + (14 - 10 - 12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 7*r**2 + r + 10. Let z be p(-7). Let b = 2379 + -2377. Solve -b*j - z = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 527, 292, -161, -904, -2009?\nAnswer: -3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1243 = 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + 8. Let k be x(2). Sort k, 1, 0, 2 in increasing order.\nAnswer: k, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 5, 2\/7, 32\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2230884 and 0.4.\nAnswer: 892353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2108*z - 15. Let g be o(4). Let r = 185917\/22 + g. Find the common denominator of r and 6\/264*51\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 3, r: 4, k: 3}. Give prob of sequence iz.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 + 555*f - 86. Determine u(111).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43\/947 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Let q be ((1\/(-3))\/(-1))\/1. Let a = -0.3 - -0.7. What is the closest to q in -2\/11, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*g = -185, 2*b - 96 = -2*g - 6. What is the highest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/11)*k*(k*k**(-1))\/k*k*k)**(1\/33)\/(k*k**(1\/5)*k\/((((k*k*k*k*k**(-2\/9)\/k*k)\/k)\/k)\/k))**33 assuming k is positive.\nAnswer: k**(-85069\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32 + 136*p**5 - 28 - 102*p**5 - 49*p + 150*p**5 + 46*p - p**2 wrt p?\nAnswer: 3680*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3842 is divided by 593?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m - 1 - 3\/2*m**2 + 0*m**4 + 0*m**5 + 0*m**3 + 1\/6*m**6. What is the second derivative of a(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4966 and 3822?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-72)\/21)*(-28)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -2, -0.034, -110, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1577 - -1) + (-210)\/(-700) + (-26)\/20. Is -1579 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:04 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -260*n + 786. Determine b(5).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(1 - 3\/2). Let q be (15\/2)\/((-43)\/86). Let h = q + w. Solve h = 4*i - 2*b - 7, 3*b + 13 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 35*z**3\/6 + 2*z**2 + 8*z. What is the remainder when l(3) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 1939473?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240 = 2669*f - 2545*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - 5*w)*(0 + 3 - 1) - 4*w + 2 - 2 - 6*w + 3*w + 2*w - 1 + 1 - 399*w + 1375*w + 895*w.\nAnswer: 1862*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69.941*-0.14.\nAnswer: -9.79174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -5. Let y be a\/(-3) - (-234)\/54. Solve i = -2*i - y*n - 18, -5*i - 2 = -n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39226 is divided by 7842?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3539 + 3603 = 8*a. What is the highest common factor of 208 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001164762966 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0526 - 756.9474. Let a = 756.9999469 + h. Round a to 6 dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1721742 by 45309.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1740*g**2 - 1884*g**2 + 3642*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4817*y - 19. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -697\/5 - -140. What is the closest to -2\/7 in 4, -2\/15, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 71*n - 37. Let j(f) = -f + 4. Let t(z) = 2*j(z) - w(z). What is the tens digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - 0.1. Let f = 2182 + -8729\/4. Does f = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**1*v*v)*v**(1\/8)*v**(1\/8)\/v**(4\/5))**(-3\/23) assuming v is positive.\nAnswer: v**(153\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*y = 2*y + 4, y = 5*m - 36. Let l = m + -10. Let t = -0.6 - -1. Which is the nearest to -1? (a) l (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z + 14. Let h(v) = 7*v + 12. Let p(y) = 6*d(y) - 7*h(y). Let n = 10 - 15. Calculate p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + (1 + 24 - -3) + -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3.7. Let o be -4 - 2*(1 - 2). Let x be o\/(-8)*52\/(-65). Which is the second biggest value? (a) x (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 5*h + 20 = 0, -c - 3*h = -12. Suppose -3*n - 34 = -r, c = r - 5*n - 48 + 10. Calculate the remainder when r is divided by 50\/4*32\/40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -41 + 1 + 0 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - 23*b**2 - 3*b. Let f be 4\/(-5)*20\/8. Let w(a) = -6*a**3 - 22*a**2 - 2*a. Let q(d) = f*j(d) + 3*w(d). Factor q(v).\nAnswer: -4*v**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*x**4 + 1600\/3*x - 12*x**3 - 80*x**2.\nAnswer: -x*(x - 4)*(x + 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, -15, 3.\nAnswer: -15, 3, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.93 + 0.07. Let v(j) = j + 5. Let k be v(0). Let y = -3.3 + 3. Sort k, y, n.\nAnswer: y, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-6)\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231287229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-77)\/(-4) - (-18)\/24. Solve z*r + 5 = 15*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 + k - 1. Let q(r) = -r**3 + 37*r**2 + 39*r - 39. Let u be q(38). What is x(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * -19.\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 348599639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.04, 0.3, 0.011 in descending order.\nAnswer: 3, 0.3, 0.04, 0.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32034 divided by -20\nAnswer: -16017\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-1)\/4*1)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*51\/(2652\/130).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(216)\/sqrt(8) - (sqrt(3) + sqrt(75) + -2) - (((sqrt(3) - -2*sqrt(3))*4 - sqrt(3)) + -2 + sqrt(243)))*-4)**2.\nAnswer: -2944*sqrt(3) + 25652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 690.1 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o - 1. Let q be d(2). Suppose -q = -4*x + 87. Suppose -b = 4*n - 18, 0*b + n - 15 = -b. What is the greatest common divisor of x and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:25 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from zwwwzwzw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*sqrt(2112))\/(sqrt(396)*1).\nAnswer: -8*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 - 14\/(-3)*(-135)\/(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53313?\nAnswer: 3, 13, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**5 + 25*r**4 - 13*r**3 + 19*r**2 + r - 5. Let o(a) = -3*a**5 + 39*a**4 - 19*a**3 + 29*a**2 + 2*a - 8. Let y(u) = -8*m(u) + 5*o(u). Factor y(f).\nAnswer: f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4006 + 4001. Sort o, 0, 4, 9 in descending order.\nAnswer: 9, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -619, -1251, -1883, -2515, -3147?\n\"Answer: -632*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, o: 1, i: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrooohrgooooohro. What is prob of picking 1 g, 1 h, and 1 o?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*x - 3828*q + 3827*q, 2*x + 1 = 3*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -59607?\nAnswer: 595fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 808125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 0.19 (c) 1\/105 (d) -3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*p - 31, -2*p - 5*x = -106 + 107 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17*-4\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-78)\/(-195) + (-13)\/(-5). List the prime factors of x\/6*-5*-138.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*l. What is the third smallest value in 2\/3, 2\/7, l, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/((-15)\/3) + (-920)\/(-150). Sort -5, o, -41 in descending order.\nAnswer: o, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 729807 (base 10) to base 9\nAnswer: 1332086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 4*n**2 - n - 13. Let g be x(-4). Let k be 2*(g\/(-2) - 4). Solve 3*p + 11 = -k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101111100 (base 2) in base 13?\nAnswer: -2c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720903932.\nAnswer: 2, 3, 11, 1627, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 6)*(-2 + 0*z - z**2 + 0*z)*(581 - 35*z - 581) as y*z**2 + h*z**3 + l + q*z and give q.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -45. Let s(j) = 5*j**2 - 9*j + 2*j - 4*j**2 + 10. Does 11 divide s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 + 435. Give g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*20\/(80\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36256, 32197, 28140, 24085, 20032?\n\"Answer: d**2 - 4062*d + 40317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/((20\/21)\/((-2134)\/(-679)))?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:20 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let a(x) = -9*x + 2. Let q(j) = 42*j + 3. Let l(s) = 2*a(s) + q(s). Calculate m(l(g)).\nAnswer: 24*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 2. Let d = m + -0.6. Let a = 149\/3 + -49. What is the closest to 2\/3 in d, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 41. Let r be u(-15). Suppose -2*p - j = -69, -10 = r*j + 2. What is the greatest common divisor of 108 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 1, b: 2, m: 7, z: 1, v: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 - 5*x - 2. Let l be j(6). Find the third derivative of t**2 + 11*t**4 - 14*t**4 + 2*t**l wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67049, -65189, -62089, -57749?\nAnswer: -52169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-12)*(-1)\/4*-6. Let w be (1\/(-2))\/((-4)\/40). Suppose -w = -2*d + 1, 2*t + 4*d - 18 = 0. Solve a*s = 1 - t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 3. Differentiate p**3 + 5*p**i + p**3 - 5 + 12 wrt p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.1. Suppose 10 = -8*f - 2*f. Which is the closest to -0.1? (a) f (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 17\/(-5))\/(6\/15). Let p(g) = 21*g - 53. Let j be p(x). Solve -u + j = 3*u + 3*q, 0 = -u + 3*q - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.99915. Round j to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a**5\/5 - 3846*a**4\/5 - 218812*a**3\/5 + 6419728*a**2\/5 - 7949376*a\/5 + 350464 = 0. Calculate a.\nAnswer: -148, 2\/7, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 0.02 in descending order.\nAnswer: 4, 0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280919?\nAnswer: 43, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**3*t**4 + 566*k**3*t**2 - t**5 wrt t?\nAnswer: 144*k**3*t - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 2:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-25))\/(48\/(-120)))\/(6\/25)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11025899, -22051797, -33077697, -44103599, -55129503, -66155409, -77181317?\n\"Answer: -v**2 - 11025895*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4\/3 (c) -1\/12 (d) 2 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -1) + (-76 + 70 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - -26. Suppose -j - 23 = -u. Suppose 4*q - 6*x - u = -x, -5*x = -5. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10863\/1071 + 1\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 63*k**5\/5 + 25*k**3\/3 + 53*k**2 - 9645. Find the third derivative of p(c) wrt c.\nAnswer: 1512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.089? (a) 0.2 (b) -19 (c) -1\/8 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.8 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, q: 4, t: 2, v: 2}. Give prob of sequence qvfy.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 920 = -2*m - 124, -2*l + 1608 = 4*m. What are the prime factors of m?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 5*y + 2. Let p be c(5). Let a be 10\/14 + p\/7. Let m = 29 + -20. Calculate the highest common divisor of a and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-210)\/(-252) + (-54)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + 0 - sqrt(11)) + ((sqrt(11) + -3)*-2)**2.\nAnswer: -24*sqrt(11) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 805 = 2*s - 237, 2*u = 3*s - 1548. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 90620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 3*u. Let o(t) = 2*t**2 + 2*t. Let p(d) = -8*o(d) - 5*s(d). Let y(i) = -6*i**2 - 3*i + 2. Let h = -496 - -491. Determine h*p(g) + y(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 254, 408, 570?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/10 - (-1962)\/1635. Solve -5*j = -72 + 52, z*l - 4*j = -20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 10*a - 54. Let n be v(-9). Calculate the highest common factor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6384085.933 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 9*u**2 - 8*u + 5. Let a = 109 + -85. Calculate the remainder when t(7) is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/((-3)\/12). Is 19 - (1 + s + 0 + 3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7017 and 3421957?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4106.4888 rounded to the nearest 10?\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(39)\/sqrt(3)).\nAnswer: -4*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/49 + -22\/49. Let t = 4.33 + -0.33. Which is the fourth biggest value? (a) 0.3 (b) v (c) -0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585.8 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0*y**2\/y*(y*y**(-1)\/y)**38 assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s**3 + 13*s**2 + 197*s - 22. Let u(g) = -7*g**3 - 6*g**2 - 98*g + 10. Give -6*r(d) - 13*u(d).\nAnswer: d**3 + 92*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(2*c + 2*c - 2*c)*(-28 + 12*c**2 + 28)*(0 - 1 + 3)*(-2*c**2 + 2 - 2).\nAnswer: -192*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37809 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 42*c - 53. Let w be k(-8). Let l = -227 - w. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -41432*x - 207162. Give j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.2 - 49. Let p = x - 17.2. Let g = p + 12.999996. What is g rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from juccq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - b - 4*b**3 - 1 to the form t + y*b + f*b**2 + g*b**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329 - 325. Solve 12 = -c + 5*c - 5*k, -3*c - 22 = f*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 79*n**2 + 16*n - 94. Let s(h) = 39*h**2 + 7*h - 43. Let d(p) = 6*f(p) - 13*s(p). Let b(k) = -364*k**2 + 56*k - 56. What is 5*b(u) - 56*d(u)?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7752392 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/17)*f\/f**31)**(-27))**(-4\/15) assuming f is positive.\nAnswer: f**(-18288\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u**2 + 2*u)*(2*u**2 - u**2 + 2*u**2) - 2*u**4 - u**4 + 2*u**4 + (u**2 + 0*u**2 - 4*u**2)*(-3*u**2 - u**2 - u**2).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 550255 (base 8) to base 6\nAnswer: 3542045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 61255430 and 61255448 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*h + 26 = 0, -3 = -4*w + 5*h + 3. Suppose -3*l = p + l + 28, 91 = -w*p + 5*l. Let z = 196 + p. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -588236.326 and 2323.\nAnswer: -585913.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000450699 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 571*l + 1332. List the prime factors of f(13).\nAnswer: 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -4, -16, 0 in decreasing order.\nAnswer: 0, -4, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3 - 4452*s**2 - 3054120*s + 6126016 = 0.\nAnswer: -481, 2, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4103536*p**2 + 515*p + 418 wrt p?\nAnswer: 8207072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -51*b + 53*b - 226, -5*n + 378 = 3*b. Solve -8*z - n = -134 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + a - 11 = 0, -11*g - 33 = -16*g + 2*a. What is the first derivative of -5028*o**2 + 5085*o**2 - g - 110 wrt o?\nAnswer: 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 47654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + 1 - 3 + t)*(2*t - 3*t - t).\nAnswer: -2*t**3 - 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gymnvfv. Give prob of picking 1 f and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 - 148*o**2 + 3480*o - 25200 = 0 for o.\nAnswer: 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/3, -2\/17, -0.645, 5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -48 (b) 5 (c) -21 (d) 0.3 (e) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*t + 24, 2 = -0*o - 5*o - 3*t. Suppose -3*b - o*b = 0. Suppose 2*v = 6, 4*m + b*v = -5*v + 31. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpp when three letters picked without replacement from {p: 6, r: 2, t: 6, g: 4}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/13, 0, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v**3 - 39 + 39)*(-2 - v - 3 - 11).\nAnswer: -11*v**4 - 176*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (34\/(-6) - -5)\/((44\/(-37128))\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8549.77 decades to centuries.\nAnswer: 854.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128148750 divided by 6750.\nAnswer: -18985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1468 - 1345. What is the remainder when 129 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1622750916 + -19.\nAnswer: 1622750897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 1303987750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121487*((12 - 6) + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -151*x**4\/6 + x**3\/6 - 6*x**2. Let o be i(1). Let u = 1356 + o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s + 2. Let x be q(0). Let b(u) = -10*u**2 - u**x + 17 + 0*u**3 - 24*u - u**3 + 13*u. What is the least common multiple of b(-10) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - t + 4)*(3 - 1 - 4) + 0 + t + 0 - t + 0*t + 3*t + 0*t - t - 3*t - 6*t + 9 - 9.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q = 2*i - 31*q - 3034, 5*q = 2*i - 3043. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d - 1de3f?\nAnswer: -1de9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7201880 to the nearest ten thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -22*m**2 - 20*m**2 + 20 - 44*m**2 + 63*m**2 + 5*m - 33*m - 2*m**3. Give f(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 - 2*g - 57. Is h(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1594, 1768, 1942?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*w**2 + 141 + 123*w**2 - 141 as y*w**2 + d + m*w and give y.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s + 13. Let h be 1 - 9 - (-9 + 10). What are the prime factors of l(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2 + 29*n**2 + 1 - 2*n**2 + 3*n**2. What is t(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = -3*x, 0 = 2*x - 5*a + 5 - 11. Let j(v) = -v**2 + 8*v - 7. Let l be (-64)\/(-12) - 2\/6. Let f be j(l). Solve -x*b = -f*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.7397 + 0.0103. Let k = -51 + w. Which is the closest to 1? (a) 4\/3 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21424 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0 - 0\/4. Let r(q) = 6*q**2 + q. Let p be r(1). Let t = p + 16. Solve 5*o - t = y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 6*n - 8. Let h be k(-2). Let f be ((-2)\/2)\/(h\/40). Suppose -4*v = -f*v + 125400000. What is v rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*((-6384)\/35)\/8. Solve 464*r - u*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(720) + 5 - (sqrt(720)*-2*-3 + sqrt(720) + sqrt(720))) + 1*-2*sqrt(720)*5*-3)**2.\nAnswer: 2280*sqrt(5) + 259945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*p = -230069 + 40838, -16 = 4*p. Round t to the nearest 100.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*b + 42 = 0, 0 = -5*b + 46 - 61. Solve 6*n = q*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21584551 + 101459441 = -163*w. What is w rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28060\/50 - (-36)\/(-30) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -79575447?\nAnswer: -79575449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10158 and 2.9?\nAnswer: -29458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1 + 2 + 367*u + 0.\nAnswer: 367*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.736129ml?\nAnswer: 0.006736129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*w - w - 106, 0 = 4*q + 3*w - 100. Calculate the smallest common multiple of (-2)\/(-3) + (-92)\/(-6) and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 + 526 = 6*y. What is the nearest to -2\/5 in -0.3, y, -1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180337038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f - 7. Let n be a(-8). Let c = n - 121\/3. Let s(l) = 14*l + 56. Let o be s(-4). Is c >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/20)\/(-3 - 14\/(-8)). What is the nearest to 0.2 in -0.1, f, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -288 + 276 + (11 + 3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1003904 and 51336?\nAnswer: 9035136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 8 + 7 + -29?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -21. Let i = -53 + d. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 8392825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*-22861\nAnswer: -10516.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (57\/4)\/((-6)\/(-64))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 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: 6 - (-1 - (8 - 1 - (20 + -18)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 1291*a**2 - 576 + 1291*a**2 - a**3 + 289.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*h - 3*t - 37, 5*h + 5*t = 130. Suppose -6 = -3*v + h. Solve -2*r - v = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 411785560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -28207 (b) -0.2 (c) 1 (d) -0.4 (e) 2\/7 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.54188l?\nAnswer: 58541.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/4 and 43\/46283128?\nAnswer: 46283128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08204 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311 - 313. Let i(v) = -91*v**3 - 13*v**2 + 13. Let y(p) = -15*p**3 - 2*p**2 + 2. What is j*i(k) + 13*y(k)?\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*q**2 - 28*q**2 + 9 - 7.\nAnswer: 522*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79378212 - 64.\nAnswer: -79378276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41278.09l?\nAnswer: 41278090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 20530*m + 20525.\nAnswer: 5*(m - 4105)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s + 18. Let z = -911\/117 - -120\/13. Let n = -43\/36 + z. What is the nearest to s in n, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 220 + 953 - 245 - 250 - 238.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*v + 2*d - 66, 0 = v + 4*d - 20. Let z = 23 + -20. Suppose -z*b + 7*b = v. Solve -o - 4 = -3*f, -b*f - o + 2*o = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4364623?\nAnswer: 19, 229717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 31. Give r(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5131*0.3\nAnswer: -0.15393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/(t*t**0))\/t))\/t**6)\/(t\/t**(1\/3))**(5\/12) assuming t is positive.\nAnswer: t**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 437*v**2 + 2 + 443*v**2 - 879*v**2 - 166*v**4 in the form l*v**3 + z + x*v**4 + i*v + a*v**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - q - 4*q + q + 12608.\nAnswer: -5*q + 12608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -61. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/495)\/(10\/(-45))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(20) + 5 - -1*(-2 + sqrt(180))))*-5*-4.\nAnswer: -40 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 8*f - 103. Determine p(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)*p)\/(p\/(p\/((p*p**(1\/32))\/p*p))) assuming p is positive.\nAnswer: p**(-133\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(5\/(-35)*4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340 (base 7) to base 3.\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1834 and 80804206?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**5 + 78*j**4 - 3*j**3 - 20*j - 372?\nAnswer: -80*j**3 + 936*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(4\/3))\/(246\/82)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 71. What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 23. Let o(n) be the second derivative of 4*n**3\/3 + 12*n**2 + 12*n. Let v(q) = 4*o(q) - 3*y(q). List the prime factors of v(8).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1\/3 (c) -0.5 (d) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119621765 rounded to six decimal places?\nAnswer: -0.011962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -415235?\nAnswer: -415242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7004798531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + s = -7*s - 6*s + 16*s + 4*t + 31, 5*t = -45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 5 (b) -1\/7 (c) -0.2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 greater than 6522\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 467601?\nAnswer: -187040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 + 5*u + 17. Let o be a(7). What is the nearest to -0.2 in -2, 4, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 15875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1\/18, 8, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12947615617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = -4*v + o, o = -5*v + 20. Let a(b) = 3*b**3 - 5*b**2 + 5. Let m(g) = -g**3 + 2*g**2 - 2. Let c be (4\/10)\/((-2)\/(-10)). Give c*a(f) + v*m(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -36*u - 1310. What is c(-36)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50807*m**2*y**2 - m**2*y - 5*m**2 - 82743*m - 20*y**3 + 2*y wrt y?\nAnswer: -101614*m**2 - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35848082?\nAnswer: 2, 67, 267523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 7. Let r = 2 - u. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 6*x - 4. Let s be a(7). What is the derivative of 4*q + s + q + 0 wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*o + 132 = 2*o, -4*n + 130 = -o. Let d(w) = 7*w. Let m(i) be the first derivative of 20 - 12 - 18 + 38*i**2. Determine n*d(s) - 3*m(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26174 and 3726.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.26038 * -0.099\nAnswer: 0.02577762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (19 - (9 + -33)) + 12 + -159\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 17. Let h = 23 - 17. Let t be v(h). Calculate the remainder when -10*1*24\/t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2*q - 2*q)*(15867*q - 28 - 7044*q + 20671*q + 28) to f*q**2 + b*q + n and give f.\nAnswer: -58988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 3*k + 2. Let d be y(3). What is the units digit of -3 + d - 6\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - l)*(-2 + 2 - 2) - 3 + 3 + 2*l + 6*l + 2 + 7*l + 0.\nAnswer: 19*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6473956 millennia?\nAnswer: 6.473956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 48 = -12. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 + 420\/98\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 7*r = -2*r. Suppose -10*j + 1900 + 40 = r. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 5, -10\/207?\nAnswer: -10\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 57681.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -76*v - 23. Let p be -1 + (4 - (2 - -1)) + -15. Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddl when four letters picked without replacement from {j: 1, d: 5, l: 3}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 363*z**2 + 12468*z + 11732. Calculate i(135).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Give f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/6*999\/777?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -29. Let u(b) = b**2 - 10*b - 9. What is u(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1149857416 + 5.\nAnswer: 1149857421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*(15\/(-5))\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-119)\/(-3))*((-20076)\/(-336) + -59)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 3. Let u = -1472 + 1477. Let t(q) = 2*q + 3. Calculate u*g(l) + 6*t(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 4*l = -47*p - 474, 2*p - 5*l - 176 = 0. Is 98 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 774735?\nAnswer: 1549470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84a (base 13) in base 2?\nAnswer: 10110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -227*h**2 - 1178609*h*l**2 + 4*l**2 + 9698770*l wrt h?\nAnswer: -454*h - 1178609*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 104\/36*3269769. What is y rounded to the nearest 100000?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.07224 years in centuries?\nAnswer: 0.8807224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/170 and -53\/80104?\nAnswer: 400520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((-28)\/38182) + (-14)\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231 - 1?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2478)\/1121*(-950)\/(-50).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -799000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (23 - 10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.09 - 20.39. What is the closest to -1\/2 in w, 110, 3, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 - 7*i - 2. Let t be r(4). What is the second derivative of -t*b - 4*b - 22*b**5 - 4*b wrt b?\nAnswer: -440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 5\/((-10)\/(-6)). Let c = 5 + q. Suppose y = -t + 2*t, -3*y + 21 = c*t. Calculate the highest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -2.1\nAnswer: -96.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 83*z - 75*z + 114*z + 67*z.\nAnswer: 246*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27176)\/(-1290) - 1\/(-10) - (1 - 5\/6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/220253 or 0.54?\nAnswer: 15\/220253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1407 divide 149700579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - l - 35, 2*h - 2*l = 22. Let s(m) = -3*m**3 + 6*m**2 + 3*m + 11. Let u(y) = -y**3 + 2*y + 4. Let w(k) = -s(k) + 2*u(k). What is w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26906 is divided by 6566?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*g**2\/7 - 3670*g\/7 - 14856\/7 = 0. What is g?\nAnswer: -4, 3714\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1764 and -67\/40.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 55 (b) -4\/9 (c) -95 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Sort 0.8, r, -2\/17 in decreasing order.\nAnswer: 0.8, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666279 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-5))\/(-10 + 24 + 2485\/(-175))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86246820 to the nearest 100000.\nAnswer: 86200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9806 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*x - 24, -2*n + 30 = 5*x + 2*n. Suppose 0*t + 3*t = 2*f + x, -5*f + t + 11 = 0. Let d = f - 1. Is 2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13823002 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**3 - 557*z**2 + 155*z - 53064. Determine d(-81).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrr when four letters picked without replacement from rcjrj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.26918 nanoseconds?\nAnswer: 0.00000000426918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -89. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*u - 219 = 0, -2 = -5*u + 13. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5346222172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-27)*k)\/k**(13\/3))**(-50) assuming k is positive.\nAnswer: k**(-3700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)*u\/(u\/(u*u\/((u\/(u**10*u))\/u)))*u**(-27)\/(u**(-1\/9)*u) assuming u is positive.\nAnswer: u**(-259\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250823 divided by -5.\nAnswer: -250823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8385 and 2555490.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 414011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -178 + 34. Suppose -8 - y = -h. Let i = 26 + -16. What is the highest common factor of h and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)\/((-9)\/(-12)). Suppose -4 = -y*o + 3*o. Let a(h) = o - h - 4 - 5*h**2 - h**3 + 0. Calculate a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*27\/9*(-4)\/96*132.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Let r(p) = -d*p - 4 + p - 2. Let o be r(-4). What is the highest common factor of 25 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/5 - 128*b**2\/5 - 162*b - 684\/5 = 0.\nAnswer: -57, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((49\/(-294))\/(-5*3\/(-570)))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 36. What is the third biggest value in -2\/19, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2, d: 3, r: 6}. What is prob of picking 1 l and 2 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**3 - 8*k**2 - 2*k**2 - 3 - 2*k + 3*k**3 + 8*k**2 as a*k + f + w*k**3 + o*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008565740414 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*q + 22926. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43587 divided by 1503\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 3*v + 72. Let x = v + 23\/3. Which is the second smallest value? (a) x (b) -2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 456 + -300. Suppose 15818 - 578 = 255*x + 380*x. Calculate the greatest common factor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 0 - (2453 + -2458)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - 485482.\nAnswer: -485462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = -l + 879, 1177 = 4*w - 5*l. Calculate the remainder when w is divided by 146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 110. Let y = d + 21. What is the greatest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471979874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -40*j + 33. Let m be k(5). Let u(g) = 56*g - 2. Let h be u(-2). Let b = h - m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*p - 16, -d + 8602 = -4*p + 8616 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-110)*(-5)\/9*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873800 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*b - 4142, -5*o + 4*b = b - 6902. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34512607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/14 + 577\/7. Let h = -85 + d. Is ((-1)\/h)\/(2\/(-8)) + 864 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38568725 and -0.02298197.\nAnswer: -38568725.02298197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 16*a**2 + 3*a - 3. Let g(i) = -5*i**3 + 17*i**2 - 4*i + 4. Let f(k) = -3*g(k) - 4*h(k). Suppose f(y) = 0. What is y?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 5*j - j)*(3 - 2 + 1) - j - 5 + 5 as t*j + a and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19\/(q\/q**21) assuming q is positive.\nAnswer: q**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9101634 + -1.91. What is u rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/46 in 1\/5, -3\/325, -38?\nAnswer: -3\/325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49.8 times 3\nAnswer: -149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143512?\nAnswer: 2, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*t = -1643*t + 3111 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1714 = -4*o, 5*x + 421 = 3*o + 1689. Which is bigger: -396 or o?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14129 + 14155. Calculate the greatest common factor of t and 14482.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 340*b + 1948. What is j(-6)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 59. What is the units digit of w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 266093675094 and 45.\nAnswer: 266093675139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (124\/(-5))\/(4\/20). Let m be -4*u\/28 - (-8)\/28. Suppose -380 = -m*b + 14*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + -0.6. Let q be ((-1)\/2)\/(3\/(-2)). What is the closest to q in 1\/8, 0.1, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2)\/(36\/96)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0 + 3, -d + 365 = r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 5*b**2 + 17 + 4*b**3 + 1\/4*b**4 - 8*b. What is the units digit of c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-8))\/(12\/16). What is the greatest common divisor of f and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1859?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001185409 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 3*x**2 + 9*x - 2. Suppose -5*v + 3*z = 12, -2*v + 2 = -v - 5*z. Let f be t(v). Solve -5*s = -f + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -11. Solve -10 = -b*z - 2*z + 5*d, -3*z = 4*d + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(300)\/sqrt(5))\/sqrt(10)) + -5.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21645.95575 + -21646. Round s to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**2 - 7*m + 5. Let u(f) = -f**3 + 8*f**2 - 12*f + 4. Let l be u(6). Let z be k(l). Let j = z + -96. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168508787.\nAnswer: 23, 43, 170383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4323, -4327, -4341, -4371, -4423, -4503, -4617, -4771?\n\"Answer: -c**3 + c**2 - 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10, -4*t - 28 = -4*r - 0*t. Suppose 10*v - 3 = r*v. Suppose v*w - 264 + 99 = 0. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 + 3*o + 554. Let r be i(0). Let x = -555 + r. Which is bigger: x or 4\/179?\nAnswer: 4\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.087435344 to 4 decimal places.\nAnswer: 0.0874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -985009.7824 rounded to the nearest 1000?\nAnswer: -985000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 657478 and 151018?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from oohooooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*m, 0 = 3*q + 2*q + m + 24. Calculate the least common multiple of (-4)\/(-2)*(-18)\/q and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*-12*(-13)\/(-546)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 3750013.376783.\nAnswer: 3750013.076783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 627, 1298, 2039, 2886, 3875, 5042, 6423?\n\"Answer: 6*h**3 - h**2 + 632*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/11))**22*q\/((q**(-3\/2)*q)\/q)*q**18 assuming q is positive.\nAnswer: q**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 3*a + 8. Let h be x(-3). Let u = -7 + h. Solve -u = 5*w + 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*z = -218*z - 1088. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 + 9*r + 19. What is the hundreds digit of x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/9 + 2\/(-9). Suppose -9 = 3*v, c + 3 = 5*v + 10. Let i be -8*c\/16 + 1*26. What is the greatest common factor of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 + 3 = 0. Solve 6*t - o = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/7))**(-1\/7)*(s**1)**(2\/73))**(3\/23) assuming s is positive.\nAnswer: s**(-2334\/82271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3 - 42\/(-36))*-14. Let w be (48\/42)\/((-2)\/s). Suppose -w*q - q = -25. Solve q*t + 7 = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -3, 47.\nAnswer: -167, -3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*z**2 + 2 - 508*z**2 - 1 - 1.\nAnswer: -988*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 1036 = -3*k - 1090, d - 4*k = 84 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*x - 63. Suppose 7*u + 1 = x*u. Let y = -107\/606 + 1\/101. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159, -541, -1177, -2067?\n\"Answer: -127*f**2 - f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33695491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - 5*l)*(1 - 4 - 1) + (l - 1 + 1)*(5 + 3 - 3) - 2*l + 0*l + l + (-3*l + 4*l + 0*l)*(1 - 2 + 0) + (-2*l + 3*l + 0*l)*(3 + 1 + 0).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*j - 1273 = -256*j. Calculate the remainder when j is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 - -5. Let o = d + 3.1. Which is the third biggest value? (a) o (b) -4 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13664 - 8311 = -879*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*k**2 + 329*k**2 + 328*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1795*y - 1642 wrt y.\nAnswer: 1795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 2*r - 4*v + 22, 0 = -5*r - v + 13. Let k(z) = -r + 0*z + 16 - z + 4. Let p be k(15). Solve -d = p*q + 8 - 27, 32 = 3*d + 4*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, 680, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**7\/1050 + z**6\/600 + z**5\/100 - z**4\/24 + z**3\/15 - 7*z**2\/2 + 8. Let o(x) be the second derivative of g(x). Factor o(j).\nAnswer: -(j - 1)**3*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r = 110*r - 410 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 2. Let q = 31.037 + -31. Let x = q - 0.537. What is the nearest to k in 3\/4, 1, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 8, t: 5, l: 2, d: 3}. Give prob of picking 1 g and 2 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2031000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/15, -149741?\nAnswer: -149741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from hwwwdypqdwyyw?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*a + 43 = -10, 5*d + 4*a - 15 = 0. Let m = 170 - 157. What is the remainder when m is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 127, 98, 57, 4, -61, -138?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383*o**4 + 2034*o wrt o.\nAnswer: -4596*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -i + 5. Let f = -23 - -47. What is the greatest common factor of i and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 18. Let d be 17\/k - 1\/(-20). Which is the nearest to -2? (a) 1 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or -2373814?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201101112 + -121?\nAnswer: -2201102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 14 - d**2 - 319*d + 59 - 16 - 17 to z*d**2 + n + b*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15) + (-63)\/(-15). Let p = -199 + 199. Find the first derivative of g + 0 - 2*i + p + 2 wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a**2 + 4*a. Let t(y) = -y**2 - 1. Let g(x) = 4*t(x) - u(x). List the prime factors of g(-3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*(-32)\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231140 is divided by 127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49b9 + -3?\nAnswer: -4a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 22*a**2 + 28*a + 8. Is x(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53538 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v**5 - 356*v**4 + 4194*v**3 + 58484*v**2 + 34464*v - 96768 = 0.\nAnswer: -24, -9, -16\/9, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a factor of 14832666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-36)\/16)\/(42\/32)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Let r be 6*(4 + 92\/(-24)). Suppose j + 2*d - 14 = 0, -d + 6 - r = 0. Let w(k) = -2*k + 1. What is j*m(b) + w(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9384.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.368836 litres to millilitres.\nAnswer: 2368.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/420 and 187\/2172870.\nAnswer: 4345740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10*v - 215 = 5*v, 5*y + v + 233 = 0. Let x = y + 99. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-x + 17*x - 2*x) + (0 + 1 + 1)*(x - x - 2*x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 277285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 51 (b) -11\/3 (c) -1\/35 (d) 55 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*((sqrt(210)\/sqrt(6))\/sqrt(5)*-6 - (4 + sqrt(112) + (2*sqrt(77))\/sqrt(11) + sqrt(7)))*4)**2.\nAnswer: 14976*sqrt(7) + 172656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759031805062 + 12*c**3 - 759031805062 - 38*c**3.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20781*b**2 + 69*b - 178?\nAnswer: 41562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4911059213 to the nearest integer?\nAnswer: 70079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31098 + 3a8?\nAnswer: 31473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 6, d: 8}. Give prob of picking 3 y and 1 d.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 + 666*t - 4852. Calculate d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26098 - -26098. Solve 5*r + j + 8 + 19 = l, 2*j = -r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 18*n - 120*n - 321*n + 40.\nAnswer: -459*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 10*p**2 + 6*p - 3. Let b = 29 - 37. Let l be q(b). What is the third derivative of -12*x**2 + 3*x**3 - 77*x + l*x wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 61. Let x(f) = -9*f**2 - 2*f - 1. Let u be x(-1). Let a be (-10)\/(-5) - u\/2. What is the greatest common factor of j and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, i: 1, p: 2, f: 8}. What is prob of sequence ppff?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40985*b**2*k**4 + 2*b**2*k - 25173*b*k - 2*b wrt k?\nAnswer: -491820*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84067 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1193.33271 to the nearest 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-13)))\/(y**(-3\/10)\/y) assuming y is positive.\nAnswer: y**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -676831860 + 676832011.9999874. Let m = 152 - o. What is m rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -48\/11*w**3 - 36\/11*w + 7\/22*w**4 + 83\/11*w**2 - 17. Suppose g(y) = 0. What is y?\nAnswer: 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936735.5 kilograms in grams?\nAnswer: 936735500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + (-232)\/(-16). Suppose a - i = -0. Let s be (1 - (-10)\/(-6))*-6. Solve a = 2*d + s*w, d - 4 = 2*w - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 87*x**2. Let n(o) = -o**3 + 9*o**2 - 7*o - 7. Let h be n(8). Let p be d(h). Suppose 3*k + 31 = a, -4*a + p + 37 = -4*k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:40 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12*8\/160)\/(((-1332)\/(-40))\/3)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 484589699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3*n**2\/2 + 10*n + 61. Calculate the remainder when 168 is divided by q(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 28*t**2 - 17*t - 253. What is the remainder when 815 is divided by n(27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8034\/(-1020) - -8) + (-6)\/45. What is the closest to 1\/4 in -5, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 759499, 759502, 759505, 759508, 759511, 759514?\n\"Answer: 3*u + 759496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2. Let t(s) be the third derivative of -s**6\/36 + s**3\/6 + 4*s**2. Let y(v) be the first derivative of t(v). What is y(w(n))?\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6600 and -69\/4492400.\nAnswer: 13477200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p - 191 = 37*x - 75*p, 4*x - 4*p + 28 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(720)*3 + sqrt(720) + sqrt(720)))**2 + -4.\nAnswer: 449996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58200000 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by -269\nAnswer: -230\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*d + 178*d - 4*i = 251, 3*d - 3*i = 708. What is the smallest common multiple of d and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124998654 is divided by 5681757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x - 7. Let s = -416 + 422. Suppose 4*k - 8*o = -s*o + 26, 4*k + o = 29. Let l(y) = -6*y - 3. Give k*l(q) - 3*z(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4590480 - 9490.\nAnswer: 4580990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 0. Let d be -1 - (-1 + 4)*-1. Solve m = -f*m + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0714 - 9852.802?\nAnswer: -9848.7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (99\/18 - 6) + (-126)\/(-4). Suppose -39588 = -u*i + 19*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t - 1279 = -2*o - 1585, -3*o = -3 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -67. Let t = 25 - 51. Let j = d + t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32088898 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oufuzozuiiiiiiffo. Give prob of picking 3 i and 1 o.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.07 (c) 202.551 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*x = 94, -2*x + 96 = 3*b + x. Let d = 41 - b. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 3. Let o be a(0). Let l(s) = s**3 + 2*s**2 - 5*s - 4. What is l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 2.05. Let n = 285 - 284. Which is the nearest to n? (a) 2\/7 (b) t (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.04 (b) 2\/7 (c) -173\/1777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9270981.\nAnswer: 3, 29, 35521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7426*s**3 - 15 + 2 + 13 - 51062*s**3.\nAnswer: -58488*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5651, 11039, 16409, 21755, 27071, 32351, 37589?\n\"Answer: -u**3 - 3*u**2 + 5404*u + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from npwppnppnpws?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/32))**(-6\/25)*(b*(b*b*(b**(2\/9)*b)\/b)\/b)**47 assuming b is positive.\nAnswer: b**(376027\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l - 18. Let c = -110 - -113. Let o be p(c). Put -1, -8, o in ascending order.\nAnswer: -8, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-2*v + v + 2*v)*(-1 - 1 + 10)*(1 - 4 + 2).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -7*j**4\/4 - 2*j**2 - j - 4. Suppose 0 = 2*d - 2*t - 4, -10*d + t = -11*d. Let l(w) = -w**3 - w. Give d*x(k) - 5*l(k).\nAnswer: -2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -y, -2*y + 1 = 3*r - 0*r. What is the nearest to -3\/4 in y, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 139 = -104 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o + r + 16 = 80*o, 4*o + r + 12 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22809946 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*l - 382*l = 6*s - 10*s - 30, 40 = -3*s - 3*l + 10 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhp when three letters picked without replacement from {p: 8, h: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (17 + -7 + 1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 120*n + 2*v = 44, 4*n - 5*v = -64 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324897*w*z - 533114*w wrt z.\nAnswer: -324897*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -42. Let k be 30\/(-12)*(-1)\/l. Let v = 1.44 + -1.34. Which is the biggest value? (a) v (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000068327 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-4)\/(-12))\/(10312\/10308 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.4, 13\/40, -0.4, 2, 0 in decreasing order.\nAnswer: 2, 0.4, 3\/8, 13\/40, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-70))\/((-26)\/(-5096)*14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.418 + 0.4179316. Round k to six dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-110))\/(2\/38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:41 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63799 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/4 - 51*o**3\/4 - 57*o**2\/2.\nAnswer: 3*o**2*(o - 19)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*b + 2*k + 27, -2*b - 6 = -4*k. Let y(v) = -v - 3. Let l be y(b). Suppose x + l*x - 12 = 0. Sort -1, 6, x, -5 in decreasing order.\nAnswer: 6, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*p + 29*p - 4*f + 77, -f - 44 = -4*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 29) + -2 + -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 1903 - 1741. Let k be (-1 - 15\/9)\/(36\/l). What is the second biggest value in -0.2, -1\/4, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/297 or -121917?\nAnswer: -2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 15*m**2 + 10*m - 6. Let n be l(15). Let i be n\/(-21)*147\/(-14). Suppose -108 = -387*y + 381*y. Calculate the highest common factor of y and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 37*b + 11. Let z = 1 - 85. Let g = 90 + z. List the prime factors of y(g).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14098*p**2 + 14099*p**2 - 28199*p**2. Let m(l) = l - 634. Give i(m(k)).\nAnswer: -2*k**2 + 2536*k - 803912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 103. Let v = -29 + t. Which is smaller: 13\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9238*(-14)\/(-20) - (-5934)\/(-9890). What is the highest common factor of 106 and r?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:08 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 454384840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 359, -1062, -3431, -6748, -11013?\n\"Answer: -474*u**2 + u + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(343) + 0 + sqrt(343))**2*6 + -1 + -5).\nAnswer: -49338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 17. Let v be t(8). Let m(s) = 2*s**2 - 9*s + 8. Let g be m(6). Calculate the highest common divisor of v and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/70)\/((-1)\/28*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 413491412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 79766, -2\/9, -1 in descending order.\nAnswer: 79766, -2\/9, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*sqrt(66)\/sqrt(6)*-2*6.\nAnswer: -1 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - ((-279)\/36 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**7\/420 - t**6\/72 + t**3\/2 + 9*t. Let i(a) be the second derivative of f(a). Find the third derivative of i(j) wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100120110 (base 3) to base 8.\nAnswer: 15502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4269 + 1051 = 0. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/43 + -202\/215. Let c = 4536521849\/710 + -6389476. Let h = c + 36\/71. Calculate the common denominator of h and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 + 7*p**2 + 11*p**2 + 30*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*c = -0*c - 27, 5*c - 13 = -4*y. Let w(i) = 2*i - 2. What is w(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 24*n**2 - 26*n + 19. Let q be j(-24). Let w = q + -445. Calculate the greatest common divisor of w and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1 + 0 - 4*y + 2*y. Let x = -14 + 19. Suppose x - 4 = -v. Determine u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-26 + 28) - -50?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2057) - (-2 + sqrt(153))**2.\nAnswer: -156 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + j = 55, -4*x + 3*x + 2*j + 22 = 0. Let w = x - 10. Solve 7*o - w*o - 7 = 2*b, -4*b = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let g(y) = y**2 + 10*y + 12. Let x be g(-8). Let o be (33\/44)\/(6\/x). Is o greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36296904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3300, 2210, 394, -2148, -5416?\nAnswer: -9410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 1. Let d be (-1)\/3*18*(-4)\/(-8). Calculate f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(1 - 6)\/(-10). Let c be (-20)\/(-10) + m\/1. Suppose -4*k - 145 = -c*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 196, 800, 1810, 3226?\n\"Answer: 203*c**2 - 5*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 15198*o + 17637*o - 30 in the form w + s*o and give s.\nAnswer: 32835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 26*o - 64. Let w be b(32). Is (4 + w\/10)*(-320)\/24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -5\/6*p**3 + 0 + 0*p**2 + 5*p. Let c(n) = 6*n. Let o(j) = -4*c(j) - 5*r(j). Let q(k) = -5*k**2. Calculate q(o(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.1. Which is the fourth biggest value? (a) u (b) 1\/2 (c) -2\/7 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 8, o: 6}. What is prob of sequence vllo?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132765601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*l + 7, 2*o + 2*o - 17 = -5*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w + 2 = 51*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7483 times -0.3?\nAnswer: -1.12449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c + 4. Let m be j(-6). Suppose -m*g = -2*g + 118. Let o = -36 - g. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 73*d**2 + 2 - 21*d + 26*d - 3. Let f be w(2). What is the remainder when 16 is divided by f\/45 - 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712*w = -716*w + 9256. Let m = 3307 - w. Is m a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -41*y - 9. Let q(u) = 0 + 3 + 20*u + 2. Let f(s) = 4*d(s) + 9*q(s). What are the prime factors of f(4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -183 and -182 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 + 707. Let u(q) = 4*q. What is u(i(o))?\nAnswer: 16*o**2 + 2828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v**2. Let g(b) = 2*b - 5. Let m = 14 - 17. Let y(s) = s - 3. Let k(r) = m*g(r) + 5*y(r). What is k(q(z))?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1257088 and 610.\nAnswer: 6285440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - -22)*((-18)\/15 + 2). Suppose -5*m - 295 = -c*p, 0 = p - 3*p + m + 155. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 + h - 1. Let i be u(1). Let v(l) = l**2 + l. Let s be v(i). Calculate the highest common divisor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 19*x - 17. Let w be r(-20). Suppose -m = w*k - 385, 0*k + 5*m - 235 = -2*k. What is the smallest common multiple of 55 and k?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471 + 4065 = 65*x - 1371. Solve 4 = 59*r - x*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**5\/80 - 85*v**4\/8 + 75*v - 6. Find i, given that c(i) = 0.\nAnswer: -170, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -63*h - 297. Give a(3).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = 5*z, 0 = z - 5. Solve -3*t + 2*t = a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*q - 5. Suppose 5*n + 5*j + 1 = -14, 2*j - 50 = 5*n. Let f = n - q. Solve -2*l + 4*w + 10 = 0, -15 = l - 4*l + f*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by (8 + (-114)\/36 + -5)*-102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748713607.\nAnswer: 748713607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8555?\nAnswer: 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-265)\/30 + 4\/(-24). Calculate the remainder when 193 is divided by 0 + 54 - (t - -14).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -16 + (-6 - -8) + 15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + 20. Let c = -73 + s. Solve 22 = -c*f + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -52 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -130041 (base 5) to base 7\nAnswer: -20432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o, -5*o = -u + 3*u + 144. Let m = u - -79. Suppose -z - 2*x + 24 = 3*z, -8 = -m*x. Solve 0*t - 3*r - 10 = -t, z*r - 8 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*c + 437*c + 53772 = -359*c - 19989 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (-1*sqrt(77) - sqrt(77))*6))*-6)\/(sqrt(448) + 3*2*sqrt(448) + sqrt(448))*-3.\nAnswer: 63*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -22000333200313?\nAnswer: 22000333200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 10*j - 13 - 4*j. Let o be (-18)\/(-1)*(-1)\/(-2). Let x be n(o). Solve -8 = x*h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 2873704?\nAnswer: 20115928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 6. Let t be (-80)\/32*3*-2. Suppose t*j - 5*j - 30 = 0. Determine n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47541*f**4 + 47427*f - 1 wrt f?\nAnswer: 570492*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 9, -7 in ascending order.\nAnswer: -7, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 - 11*l**2 - 5*l. Let p be j(-4). Let s = p + 1100. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 2, e: 2}. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201686*y**2 + 1132*y + 22 wrt y.\nAnswer: 403372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*3 - sqrt(99)) + 5 - 4*(sqrt(99) - (sqrt(99) - (sqrt(99) + -1)))) + 5)**2.\nAnswer: -168*sqrt(11) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and (-10 - (-264)\/30)\/((-88)\/(-250))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1)**(-12\/17)*c**(-8)\/(((c\/c**(-10))\/c)\/c))**(-11))**(-3\/10) assuming c is positive.\nAnswer: c**(-10329\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 120096?\nAnswer: 120095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1418*l = 1428*l - 57440. Is l a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*f*l*u - f*l - 35*f*m*u + 10*f*u + 18*l*m*u + 3*l*u + 2*m*u - 9*m + 11*u wrt f.\nAnswer: 153*l*u - l - 35*m*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.295, 4\/3, 8, 0.2, -0.1, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*z + 5, -2*z - 3*m + 3 - 1 = 0. Let r(i) = -i + 7. Let h be r(z). Is -2\/387 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5 = 3*m, m - 3*q + 0*q = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 20*t**2 - 9*t + 69. What is the hundreds digit of n(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.97. Let c = 2.97 - o. Let d = c + -2.995. Round d to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9046, -2, 2, 0, -4.\nAnswer: -9046, -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16693, 16626, 16511, 16348, 16137, 15878, 15571?\n\"Answer: -24*n**2 + 5*n + 16712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.77150915 minus -28.8?\nAnswer: 20.02849085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 415415 = 76837. Let g be -3 + (24\/18)\/((-1)\/a). Suppose -38560 = -5*v - 5*w, -6*v + 4*w + g = -v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*r + 2 = 0, 4*z + r + 4*r = -2. Let t(d) = -3*d - z*d + 5*d + 6*d**2 - 3*d. Let h(o) = o**2. Determine t(h(i)).\nAnswer: 6*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzdj when four letters picked without replacement from {z: 1, k: 4, d: 1, j: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*10\/60*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y - 2*y)*(0 - 2 + 4)*(y + 2*y - 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/174*54*(-1)\/7.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/150)\/(14232\/8895)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 3*f - 4*f)*(10 - 29 - 40 + 9) in the form w*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 473614*l**2\/5 - 28041855862*l\/5 - 364464089834\/5.\nAnswer: -2*(l + 13)*(l + 118397)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2\/3 (b) 4 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/136? (a) -1\/29 (b) -0.5 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from punuttutcnn. What is prob of sequence ucuu?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 12:31 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 815617 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59504479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92664000 rounded to the nearest one hundred thousand?\nAnswer: -92700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -2243603?\nAnswer: 2243604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 2, h: 1, v: 2, e: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -4 - 2 - -81. Suppose b - c = 129. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Let a = 2997 - 2995. Solve c*m - 4*n + 21 = -2*m, -3*m + a*n - 11 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3514)\/(-1092))\/(2\/9). Let n = q + 1\/52. Is 16 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -30*y - 240 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -117752 divided by 39\nAnswer: -117752\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1173 and -57841875?\nAnswer: 57843048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 + q - 2*q - 9*q**2. Let t = -34 - -33. Let i be f(t). Which is the third smallest value? (a) 4 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97193869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6\/11, -4.06, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b - 46. Let k be o(-5). What is the second derivative of -14*r**3 - 5*r**4 - 5*r**3 + 19*r**3 - 16*r**k - 56*r wrt r?\nAnswer: -252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26\/17 (b) 2\/1115 (c) -2\/19 (d) -0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02824085683 to 4 decimal places.\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = -3*x, -2*x - 75 + 32 = -5*w. Suppose 118 = -12*b + 166. Suppose 0 = b*j - 68*j + 2240. Calculate the highest common divisor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + u = k - 10, -u = -5*k + 25. Let b = -11 + 15. Let y(x) = 0*x + x + 0 - b + 3. Let j(t) = -7*t + 6. Calculate k*y(v) + j(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140711 by -5.\nAnswer: 140711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425506.8024933 - -2.\nAnswer: -425504.8024933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 10*s + 12*s + s + s**2 - 4 - 3*s. Let a be (-1 - 3\/(-15))*-5. Let n be u(a). Solve 0 = -z - z + n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 936, 2148, 3842, 6018, 8676, 11816?\n\"Answer: 241*u**2 + 7*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*s + 0*s - 23 = -21, 5*i + 67*s = 68*s + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -92. Let v = m + -65. Put 1, v, -2, -5 in increasing order.\nAnswer: -5, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -24. Find the common denominator of w\/4*324\/(-44) and (-6)\/3 - (-61)\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128.7 - -121. Let f = -1.88 - -9.48. Let g = l + f. Sort 1, -1\/13, g in ascending order.\nAnswer: g, -1\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03438 to 4 dps.\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**4 + 574*z**3 + 1136 with respect to z.\nAnswer: -16*z**3 + 1722*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of ((-2 - -12) + -9)*118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaxxaxwaara. What is prob of sequence waxa?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 27. Solve -3*a + f + 7 = -0, -4*f - l = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:54 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4250582840 to the nearest integer?\nAnswer: 65196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/2 - 9*u**4\/2 - 5*u**3 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1}. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/18 + 1 - 1314\/(-81). Which is greater: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3143*m + 153*m = 202*m + 228956 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -3, -112\/33, 8, 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75550753.\nAnswer: 75550753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 7*p**3 + 20*p**3 + 3*p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10621.1 + -10621. What is the biggest value in 6\/5, p, 5, 3\/7, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -45\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 - 3177*k**2\/5 - 3182*k.\nAnswer: k*(k - 3182)*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(15\/(-2))\/(-3). Suppose 0 = -j - 4*v + 2*v - 6, 5*j + v = -3. Suppose -2*z - z + 18 = j. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 176. Let l = 6 - 16\/3. Let v = -0.7 - -1. Which is the nearest to l? (a) v (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2*b + 2. Let p(s) = 0*s + 7*s + 1 + 0*s - 6*s. Give -3*m(x) + 6*p(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64356.48g to micrograms.\nAnswer: 64356480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-350) + (-39)\/10. Let y(i) = i**2 + 5*i + 9. Let a be y(l). Solve a*m - 1 = -v, -v + 2*m - 5 = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63030 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 21*v - 97. Let d be x(-13). Suppose -467 + 460 = -d*m. Sort 21, m, -1, -4.\nAnswer: -4, -1, m, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/279775 and 13\/171.\nAnswer: 2517975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10416 + -3051890\/293. What is the smallest value in -4, s, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 2*a**2 + 28*a + 29. What is the smallest common multiple of 987 and x(-5)?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/50 - -1\/25. Which is bigger: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/11 (b) -17 (c) 0.2 (d) -6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123007, 119723, 116439, 113155?\n\"Answer: -3284*m + 126291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-4 - -6). Let t = -1 - h. Which is smaller: t or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26394 divided by 2?\nAnswer: 13197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l + 63*l**2 + 0*l**2 + l**2 + 471 + 5*l**3 + 16*l**2 - 551.\nAnswer: 5*(l - 1)*(l + 1)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -4, 3 in descending order.\nAnswer: 10, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-20))\/((-40)\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d**3 - 1)*(d**2 - d**2 - 3*d**2) + d**5 - 2*d**5 - d**5 - 53*d**5 - 6*d + 9*d**5 + 7*d.\nAnswer: -49*d**5 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g = i - 644, 5*g = 5*i - 785. List the prime factors of i - (0 + 5 + -9).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 1. Suppose y = -2*y - w. Let g(d) = -d**3 - 2*d**2 + 5*d + 6. Calculate the remainder when g(y) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (4 + (-23 - -4) - -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010000010001011011?\nAnswer: 1010000010001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2538 and 1458?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 55. What is the least common multiple of 4 and (-14)\/4*u*6\/(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + m + 3 + 3 = 0, 5*m = 3*o + 14. Let -g**3 + 8257 - g**3 - 20030 - 9523 - 2904*g - 132*g**o = 0. What is g?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*u = 2, 4*a + 4*u - u = 3. Solve q + a = z + 5, -15 = -z - 4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 0*z**5 + 0*z**4 + z + 2\/21*z**7 + 0 + 0*z**6 + 1\/6*z**3. Find the second derivative of c(b) wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/((d*d\/(d*(d**(-4)\/d*d)\/d)*d)\/d))**(2\/41) assuming d is positive.\nAnswer: d**(-4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2 + 14*v + 16*v - 10*v + 1. Let a be q(-1). Let r = a + 71. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - 3.65. Let z = u - -6. What is the second smallest value in z, -3\/8, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2331.132 - 2327. Let o = u - -0.208. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(56\/154))\/(2\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100111101 + -101001000111101?\nAnswer: -110100101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:40 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 22?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 225, 230, 239, 252, 269, 290?\n\"Answer: 2*t**2 - t + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 368179831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 12. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(161\/92)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - -202. Let m = o - 261. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/3 - (6 - (-2 - -14)). Let q = 29\/105 - -2\/35. Sort a, 5, 0.4, q.\nAnswer: a, q, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from {n: 4, l: 5, t: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3764770 to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 3009\/18 - 14\/84. Solve 15*u + a - 283 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 + -179. Let k = -9.66 + 13.66. What is the nearest to -15 in d, -2, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207317608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23822*h + 72176 = 19311*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12*o - 23. Calculate the remainder when h(-10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 + 8*d**3 + 25*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -c - 13, 66*c - 70*c - 2*p + 38 = 0. Solve 16 = z + 2*w - 7*w, z + c = -5*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 0 (b) -2\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(98\/12)*((-783090)\/(-11484))\/(-565)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 21 + (23 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/62 - -2\/93. Let k = -149\/154 - -11\/14. Which is the closest to 0.02? (a) k (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 299 (b) -0.02 (c) 5 (d) -211 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 28 + h)*(6 - 4 + 0)*(77*h + 0 + 4*h**2 - 2 - 71*h) in the form o*h**3 + v*h**2 + u*h + z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:40 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b + 5279 = 3*j, 2*j + 5289 = 5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/6*(-216)\/(-378).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497378 less than -3?\nAnswer: -4497381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - c726?\nAnswer: -c720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4525*p**3 + 4166*p**3 - 8577*p**3.\nAnswer: 114*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88.37 and 2.841.\nAnswer: -251.05917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2464 (base 7) to base 8\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -1\/24*g**4 + 0 - 5\/2*g**3 - 2*g**2 - 111*g. Calculate m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 36\/5*o**3 - 6*o + 3\/5*o**4 + 63\/5*o**2.\nAnswer: 3*o*(o - 10)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 + (47 - 74) + 15 - 43.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.006 - 0.006. Let u = 82.53 - 37.83. Let s = t - u. What is the fourth smallest value in -1\/7, -1\/3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 6*s**5\/5 + 699*s**4\/5 + 594*s**3 - 1209*s**2 + 354*s\/5 + 2016\/5 = 0.\nAnswer: -112, -6, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)\/(a*a**(-5)) assuming a is positive.\nAnswer: a**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 16) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 - -13?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177, 711, 1601, 2847, 4449, 6407, 8721?\n\"Answer: 178*g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5218 - 2*q - 2*q - 5218 - 4*q**2.\nAnswer: -4*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 664 = -974. What is the remainder when b is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2473023*z**3 + 3*z**2 + 48594215*z?\nAnswer: -14838138*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let m be v(2). Let n(b) = b**2 - b + 1. List the prime factors of n(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1.636.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -36 - -34 - 6*14\/(-4). Let j be 3\/4*4 + 398. Let c = j + -268. What is the greatest common factor of c and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9.94. Let w = v + -1.06. Let p = w + 1. Is -0.07 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1957347 by 21.\nAnswer: -93207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1719392 (c) 5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3) + -2 - (-1 + sqrt(300)).\nAnswer: -9*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 17*o**2 + 20*o - 9. Suppose -415*h + 411*h = 3*b - 78, 5*b = 2*h - 26. Determine d(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 - -17)) + (9 - (22 + -7)) + 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/18)\/((-14)\/10 + 1). Suppose -2*c + i = -c, 0 = 3*v - c - 826. What are the prime factors of v?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1 (c) -7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 + 2*j**2 - 6 + 1 + 3*j. Let c(s) = s**2 - 6*s - 6. Let b be c(6). Calculate the remainder when 136 is divided by v(b).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201100101 - -12?\nAnswer: 201100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 90 = -20*o. Let n = o - 13. Suppose -3 = n*s + 2*y + 21, -s = -3*y. Let v(u) = -u**3 - 10*u**2 - 9*u. What is v(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/2))**(1\/5) assuming t is positive.\nAnswer: 1\/sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)*t\/t**(-1\/5)*t**(-2\/3)*t\/(t*t**(-2)) assuming t is positive.\nAnswer: t**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304375041 to the nearest integer?\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:13 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + y = 4, -15*p - 1 = -19*p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7775002, -15550011, -23325024, -31100041, -38875062?\n\"Answer: -2*z**2 - 7775003*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119446, -955498, -3224792, -7643950, -14929594, -25798346, -40966828, -61151662?\nAnswer: -87069470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 7030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-625971)\/27)\/(1016\/(-72) - -14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfzvntnffvvcvvvvttn. Give prob of picking 1 v and 2 t.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - ((-20 - (-44 + 13)) + (-3 - (1 - 1)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose 0 = t - s*u - 88, 119 = 2*t - 5*u - 66. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -338?\nAnswer: 19\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 22. What is the lowest common multiple of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9318596 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -20.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594183, 595365, 597335, 600093?\nAnswer: 603639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 1094562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let u(d) be the second derivative of -d**7\/630 + 5*d**4\/4 - 18*d. Let i(b) be the third derivative of u(b). What is i(l(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -3*m**4\/8 - m**3\/3 + 8*m**2 + 1. Let c(k) = -9*k - 1. Calculate 4*c(t) - 3*i(t).\nAnswer: -9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/10*(0 + 2). Let t(y) = 3*y**2 + 2*y - 4. Let p(h) = h**2 + h - 5. Let w(k) = -k**2 - k + 6. Let z(i) = -5*p(i) - 4*w(i). What is x*t(g) + 2*z(g)?\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -359\/12. Let y(n) be the second derivative of 0*n**3 - 2*n + g*n**4 + 0 + 1\/30*n**6 + 0*n**5 + 0*n**2. Find the third derivative of y(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.089 + 0.089. Let s = -1\/90 - -293\/45. Is s >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1672 or 1658?\nAnswer: 1672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105029?\nAnswer: 127, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 521208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157049\/6 - -1598141\/60. Let k = h + -460. What is the common denominator of k and (-87)\/6 - 0\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 33 = -5*u. What is the lowest common multiple of 10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-14)\/7))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05046 - -30.81954. Let i = h + -31. Let p = i + 0.13000056. What is p rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -88. What is the third biggest value in -4\/3, 1\/6, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14496 divided by -6.\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a year in months?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19.53 - -711038\nAnswer: 711057.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b + 14*b - 1 - 8*b)*(-5*b + 2*b + 0*b + (0*b - 3*b + b)*(2 + 1 - 6)) to h + q*b**2 + f*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 6*w + 27. Let u(p) = p + 18. Let d(g) = 11*r(g) - 4*u(g). Determine d(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191731225 and 9065?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/(4*(-10)\/(-37800)). Let l = 1007 - m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 20*w + 105 = -3*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -353928 (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*-1)\/sqrt(10))\/(sqrt(80)*-2).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 1\/6 (c) -3\/4 (d) -17\/5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.3 - 20. Let n = 0.1 - q. Let k = n - -0.2. Which is bigger: -2\/11 or k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46263)\/7)\/(5\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*o - 172*o - 2532590. Let u = 203518 + o. What is u rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {m: 4, l: 5, u: 1, z: 5, i: 3, s: 2}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0. Let s = y + 0.16. Let k = 642.3 + -642. Which is the second smallest value? (a) s (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 = 33*x + 1381. What is the biggest value in -4, x, -0.1, -5, -6\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i**2 + 3*i + 1. Calculate t(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 2*i + 206. Determine f(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 5, j: 2, y: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 21 + 4. Suppose -k - 3 + 2 = 0. Let n = 1 + k. Put q, 3, n in descending order.\nAnswer: 3, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.041481\nAnswer: -0.165924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6942.3 - 6942. Which is the second biggest value? (a) -0.1 (b) z (c) -5 (d) 8\/5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1016*l - 1090. What are the prime factors of g(7)?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.342404 and -0.371?\nAnswer: -0.127031884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -13120402?\nAnswer: -13120440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*18\/(-12)*2\/15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -8. Let u be ((-15)\/(-63))\/(200\/240) + (1 - 1). What is the third smallest value in 0.9, w, -4, u?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q**3 - 1\/70*q**7 + 0*q**4 + 0*q - 1 + 1\/336*q**8 - 25*q**2 + 1\/15*q**5 + 0*q**6. Determine s so that y(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*h + 3 = -8, -3*i + 5*h = -14. Suppose -i = -3*m, -20*f + 15*f = 2*m - 47. Calculate the highest common factor of f and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, g: 2}. What is prob of picking 1 s and 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + sqrt(128) + -2 - (sqrt(128) + (1 + sqrt(128))*-5))*2)**2.\nAnswer: -77976 - 13440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 3*c**3 + c**3 + 3*c**3 + 0*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 3\/16*i**4 + 5 + 1\/4*i**3 - 3\/4*i - 3\/8*i**2. Factor u(t).\nAnswer: 3*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 198998.\nAnswer: 35\/99499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -8.67565, -0.9 in decreasing order.\nAnswer: -0.5, -0.9, -8.67565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-7 - (-4 - (-1 - 5 - -5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + 5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1\/(2\/(-10)). Suppose -54 = -o*v - 14. Let r = 0 - 0. Solve -z + 3*z + v = r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 4, k: 1}. What is prob of sequence uiku?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 2*u + 2. Let s be h(-4). Suppose c + 14 = -q + 2*q, 0 = 3*c - 6. Let v be s\/12*q\/14. Solve 0 = -5*p + v*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(5\/7)*n)\/(n*n**(1\/14)*n) assuming n is positive.\nAnswer: n**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(378\/(-8)))\/((-324)\/486) + 0.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - f - 21, z - 3 = 2*z - f. Let c = -3 - -5. What is the tens digit of (c - (-3)\/z)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -18 + 37 + -108?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 20 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 935*z**2 + 950*z - 1880.\nAnswer: -5*(z - 188)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b0 - -57a?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 15, h: 3}. Give prob of picking 3 q and 1 h.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-12 + (-275)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 22\/3*b**4 + 40*b**2 + 24*b + 82\/3*b**3 + 1\/5*b**5 + 0. Factor u(l).\nAnswer: 4*(l + 1)**2*(l + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 * -0.5\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9042620 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from szziziiiiiiiz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22489979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 5*s**2 + 21 - 6 - 7 + 11*s to m + d*s**2 + v*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 48*s = -18. Suppose -2*l + 64 = -s. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -217*c - 63. Let b(v) be the first derivative of -7*v**2\/2 - 2*v + 10. What is 126*b(o) - 4*p(o)?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1532843523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - 9. Let t be b(0). Let w = 13 + t. Find the second derivative of -j + 0*j**4 - j**4 + 8*j + 3*j**w wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(3\/(-27)*-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 + 5*y - 4. Let u be p(4). Differentiate u + 4 - q**2 - 2 + 0*q**2 with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(35\/10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - (-2772)\/351) + -1. Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(22)*-3)\/((sqrt(2) + sqrt(4)\/sqrt(2))*2*1).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/3)\/((330\/22)\/90).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12084 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o + 85*o = -5*z + 45, 0 = z + o - 1. Let x be (18\/(-8))\/((-1)\/4). Solve z*p + 6 = -x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -295.95.\nAnswer: -8582.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774 not equal to 11419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265860 and 59220.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 15 - 8 = -2*o - 25, -3*i = o + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 + 179. Let c(n) = -n + 6. Let l be c(0). Solve -i + 3*t - 5*t + l = q, -2*i + 3*t - 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47648 is divided by 4758?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3250\/9869?\nAnswer: 3250\/9869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 - -209. Let w(s) = -2*s**2 + 84*s - 94. Let i be w(u). Which is the closest to i? (a) 1\/8 (b) -3 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*v + 2 = 2*v, 5*f = 5*v - 10. Suppose f = -b + 14. Solve 2*w = -3*w - 4*a + 5, -w = 3*a - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-17 + 1 - 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -8.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 867268090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4\/5 - 284*r**3\/5 - 3512*r**2\/5 - 8016*r\/5 + 11808\/5 = 0. Calculate r.\nAnswer: -6, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + -1 + (-25 - (-8771)\/441)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88750 and 18500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 10*i**4\/7 + 10866*i**3\/7 + 28192*i**2\/7 + 8664*i\/7 - 8672\/7 = 0?\nAnswer: -1084, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-9108)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -91, -140, -187, -232?\n\"Answer: p**2 - 54*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50684 + 4?\nAnswer: -50680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 + 2*l - 15. Let m be s(-5). Suppose 3 = x - 0, -w = -x + 26. Let b = w + m. What is the greatest common divisor of 243 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36681, -293058, -988937, -2344068, -4578201, -7911086, -12562473?\n\"Answer: -36625*f**3 - f**2 + f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*t - 79 = -0*t, 2*h = -t + 48. Suppose -17*j = -h*j + 42. Suppose 3 = 5*c - j. Solve 0 = -c*w + l + 2*l - 2, -5*l = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:18 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 3*d - 5. Let n = -3 - -8. Let f(y) = y**2 + 1. Let h(o) = n*f(o) + g(o). Find the second derivative of h(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-100))\/(76\/437*23)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -99972495.\nAnswer: -99972494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36182 is divided by 1060.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67900878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 11866?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 + 6*p - 3. Let t be ((-5)\/(-2))\/((-17)\/(-34)). Let y be l(t). Which is the closest to -2? (a) -4 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3112066 (base 9) in base 14?\nAnswer: -3136b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*f**3 + 25*c*f + 2*c + 3*f**3 + 77 wrt f?\nAnswer: 3*c*f**2 + 25*c + 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -11 - (-2529 - 3). Suppose 0 = -3*i + 12, i - 4*i + s = 3*q. What are the prime factors of q?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 3*s + 5, 5*m = 2*s - 5. Let u be m\/3*9\/(-3). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967491399?\nAnswer: 3, 7, 541, 85159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 4*y - 8. Let o be f(8). Let n = o + -79. Solve 4*t + 0*t = -5*a + 17, -n = -3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74838 is divided by 247.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/17)\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 623 - 621. Let o(d) be the third derivative of -7\/6*d**3 + 0 - 4*d**k + 0*d**4 + 0*d + 1\/10*d**5. Differentiate o(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1398*x**4 + 2*x + 237 wrt x.\nAnswer: -16776*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*o + o**3 + 540*o - 1078*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:03 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*l + 8*l**2 + 53*l**2 - 115*l wrt l.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, -1, -119087.\nAnswer: -119087, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32020 by 2.\nAnswer: -16010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 818?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12*o - 24 = 7*o, 92 = 38*x + 4*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 - 3*u**3 + u**3)*(24 + 1 + 27)*(2 - 3 + 4) to the form b*u + n + o*u**3 + x*u**2 and give o.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -3*x**8\/56 + 11*x**5\/20 + 3*x**2 - 28. Let d(n) be the second derivative of i(n). Find the third derivative of d(p) wrt p.\nAnswer: -1080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885967 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 0.1, -2.1, 5, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 2*i + 2. Give n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22421 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 250*h + 60. What is the remainder when 487 is divided by c(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2. Let f(h) = 783*h**2 + 3. Determine f(l(x)).\nAnswer: 28188*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766 - 360. Suppose 0 = 2*p + 4*c - n, -p + 5*c = -6*p + 1020. What is the highest common factor of 82 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/10 - 4*d. Let n = 7 + -8. What is the units digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/13)*a**(2\/35)*a assuming a is positive.\nAnswer: a**(831\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -1 (c) 8\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659.704mm in centimeters?\nAnswer: 365.9704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 4*c**3 + 11*c**3 - 9*c + 11*c.\nAnswer: 22*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -c - 8. Calculate the remainder when c is divided by 4\/18*(-630)\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m - 1. What is l(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20937 (base 15) to base 3\nAnswer: -12020201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 - 21 = -y, 0 = 4*k + 2*y - 26. Let p be 13\/65 + 19\/k. What is the third derivative of a**4 - a**p + 85*a**2 - 82*a**2 - 6*a**5 wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/13 - 1804*f**3\/13 + 17794*f**2\/13 + 41008*f\/13 + 21408\/13 = 0.\nAnswer: -1, 12, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -10. Let r = 4 + v. Suppose -2*p - 54 - 33 = -g, p - 149 = -r*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + 4*q + 7. Let n be (-9)\/(3 + -6) + -10. Let g be k(n). Calculate the remainder when (g\/(-6))\/(2\/(-18)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) 1\/4 (c) 2\/13 (d) 0 (e) 26\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 40. Suppose n = 2*a - 10. Solve 4 = -2*f + 4*p, 4*f + a = -f + 3*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110122122 - -112?\nAnswer: -10110122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -317*g - 1487. What is the remainder when y(-8) is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-90)\/4*-96*84\/6720\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 8*o - 13*o - 13, -o + 3*c = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:42 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -20*t**2 + 324. Let b(n) = -2*n**2 + 36. Let z(k) = 9*b(k) - v(k). Let j(f) = -4*f + 3*f - 5*f + f. Give z(j(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/5 - (-2989)\/366.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18916?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Let v(l) = 8 - 4 + 9*l - 4. Give v(s(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Let u(a) = 7*a**3 - 10*a**2 + 15*a - 1. Let p(c) = 11*c**3 - 15*c**2 + 23*c - 2. Let g(k) = -5*p(k) + 8*u(k). Determine g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2 - 6516033*i = 0.\nAnswer: -2172011, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 50534*t\/5 - 675360.\nAnswer: -2*(t - 25200)*(t - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 2\/51, 25, 104\/9 in decreasing order.\nAnswer: 25, 104\/9, 2\/51, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 - 2*-2. Suppose 2*y + 20 = 24. Let x(n) = -n**j + 5*n**y - 3*n + n - 3*n + n. Give x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let j be n(-3). Let i(p) = -p**3 - 3*p**2 + p + 4. What is the units digit of i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*l + 7 = 4*l, -l = 5*s + 17. Let h = 107 - 106.7. Which is the smallest value? (a) s (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570 > 5569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -37393.\nAnswer: -2\/37393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1426?\nAnswer: -142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018244 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v + 3*v - 12 + 6*v + 12 + (-2 - 1 + 5)*(-3 + 3 + v))*(-v + v + v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -145191\/32 and -4536 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 613. What is the highest common divisor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 448, 1, 53 in ascending order.\nAnswer: 1, 53, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) 5\/2 (c) -0.7381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63072292 is divided by 221?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*r - 0*r - 1440, -3*r + 3*y - 1062 = 0. Let p = r + 674. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 23 + 15 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1159*j**2 - 13*j - 876. Let w(x) = 1157*x**2 + 16*x + 875. Let t(c) = 5*r(c) + 4*w(c). What is the derivative of t(g) wrt g?\nAnswer: -2334*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -712?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/6)\/(6\/12)*2. Let s(p) be the third derivative of -7*p**2 - 5\/6*p**3 + 0 + 0*p + 1\/3*p**y. Differentiate s(f) with respect to f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 2771d7?\nAnswer: 2771d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(1980)*-3 + sqrt(1980))\/((-3*sqrt(4455))\/sqrt(5))*-2.\nAnswer: -20*sqrt(5)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28c (base 13) to base 4\nAnswer: 13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 12044635?\nAnswer: 12044636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9196 (base 13) to base 11\nAnswer: 14091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 286 and -91.1.\nAnswer: -26054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03137286 and -0.44?\nAnswer: 0.47137286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - m = 3*m - 4, -25 = -4*z + 3*m. Suppose -12*t = -11*t - 5. Solve 0 = -2*n + 3*c + 11, -t*n + 17 = 7*c - z*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w + 2. Let p(v) = -5*v - 2. Let m(n) = 4*o(n) + 5*p(n). List the prime factors of m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:13 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2. Let b(g) = 38*g**2. What is r(b(y))?\nAnswer: -5776*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 11354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104772 = -5767*c + 39403 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -2, 1589\/6, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.1 (c) 0.2 (d) 235368\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1128*g**3*h**2*v + 9*g**3*h**2 + 3*g**3*h*v - 14264*g*h + 2*h**2 wrt h.\nAnswer: -2256*g**3*v + 18*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 147. Let x be 14*(6\/t)\/((-15)\/20). Suppose -h - 2*n - 8 = -4*h, -h - n - x = 0. Solve 5*o + h = -j + 5, -j = -o + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*b - 18*b + 11*b**2 - 49*b + 52 - 54*b**2 in the form o*b + z*b**2 + m and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10. Let u(g) = 3*g + 12. Let k be u(f). Suppose 5*y + 2*s - 32 - 22 = k, 3*y - 51 = 5*s. What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19035\/992 > 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453 - 332?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**4*s + 2*f**4 + 3*f**3*s + 3*f**3 - 191*f**2 + f*s + 2*f - s wrt f?\nAnswer: -96*f*s + 48*f + 18*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39953 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2876 + 14303*m - 1368 - 1508)*(2 - 5 + 0 + (4 - 3 + 1)*(0 + 1 + 0) + (1 - 4 + 1)*(0 + 3 - 4) + 3 + 4 - 5) to n*m + b and give n.\nAnswer: 42909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a century in years?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 43.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 18. Let q(h) = h**2 + 5*h - 2. Let v be q(l). What is the remainder when 49 is divided by -2*(v - 26\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000 (base 2) to base 15.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -333, -637, -1135, -1821, -2689?\n\"Answer: x**3 - 103*x**2 - 2*x - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5521*h**5 + 5326*h**4 + 185851*h**2 - 142.\nAnswer: -331260*h**2 + 127824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**2 + 2*p - 3. Let m(n) = -25*n**2 + 4*n + 592 + 594 + 579 - 2361 + 589. What is 2*m(y) - 5*z(y)?\nAnswer: 15*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {b: 4, q: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -14*r**3\/3 - 1362776*r**2 + 2141514*r - 2336200\/3 = 0.\nAnswer: -292025, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3 - 632*m**2 + 49928*m = 0.\nAnswer: 0, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123 times 0.3?\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*q - 10, -3*q - 8 = -4*s + 16. Let i = 55 + -37. What is the highest common divisor of s and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49)\/343 - (-1)\/7. Is f < 3\/529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 102980850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 29*g**5\/30 - g**3\/6 + 4*g**2. Let m be l(1). Suppose 3*c = -5*w + m, w - 2*c + 7*c - 29 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 7*p**3 + 5*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16 and -71\/6154242.\nAnswer: 49233936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -6491\nAnswer: -25964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1 + 1 - 5 + 3 + 0 + 0 + 1 + (0 - 1 - 1)*(-6 + 3 + 1) + 0 - 2 + 1 + (1 - 1 + 3)*(-2 - 1 + 2))*(-3*w + 2*w + 0*w) to y*w + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**7\/14 + i**4\/3 + 7*i**2. What is the second derivative of l(r) wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2. Let a(c) be the first derivative of 40*c**3\/3 - 2*c - 596. What is a(f(o))?\nAnswer: 1440*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:47 PM?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.2364299 to 3 decimal places.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 82, 22, -94, -284, -566?\n\"Answer: -3*c**3 - c**2 + 2*c + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 + 0.78. Sort 4, -4, 3\/2, g in increasing order.\nAnswer: -4, g, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 5.2.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/181247760 and 73\/3524262.\nAnswer: 1268734320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 45. Let s be q(-10). Suppose -5*p - s = 0, -10*g + 12*g - 2*p - 96 = 0. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 - o**3\/2 - o**2 + 16*o. Factor z(j).\nAnswer: (j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmfmk. What is prob of sequence mkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, -14221, -2\/13 in decreasing order.\nAnswer: -2\/13, -240, -14221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k*m**4 + 30585*k*m**3 + 10429187*k*m**2 + 3*m**3 + 2 wrt m?\nAnswer: -360*k*m + 183510*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -311\/2325 or 1?\nAnswer: -311\/2325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2494 divided by 3.\nAnswer: -2494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 - 114*q - 87. Let z(d) = -d**2 + 14*d + 11. Let b(s) = -2*l(s) - 17*z(s). Calculate b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = i - 6*i - q, 5*q = -i - 29. Let t = 90 + -13. Let k = i + t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = l. Suppose 5*r = 6*m - l*m - 5, -3*m = -5*r - 65. What is the greatest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61628, -61622, -61616, -61610, -61604?\n\"Answer: 6*q - 61634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*m - 145*m - 4*m + 0 + 0 + 84*m.\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 6*d**3 - 6*d + 3*d.\nAnswer: -6*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/105)\/(-3)*5. Let s = -6505.8 + 6508.8. What is the third biggest value in -2\/11, s, 3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x**3 - 526*x**2 - 28*x - 59. Let c be t(-25). Solve -17*i - 4*p - 26 = -c*i, 2*p + 10 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 1284*w**2 - 416*w?\nAnswer: 12*w**2 - 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -11.64. Let p = 8877.039964 - 8877.4. Let k = p - v. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -42. Let t = 21 - 11. Let f = t - 7. Put 1, m, f in increasing order.\nAnswer: m, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14.5. Which is the closest to 0.1? (a) 1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46464881 and 4786.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5289200602?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 201080 to the nearest 1000.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283 times 62709?\nAnswer: -17746.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8519, 17028, 25533, 34034?\nAnswer: 42531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -164*(5\/45 - 0). Let u = -4352\/225 - i. Calculate the common denominator of -47\/2 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkqkkkkqqqqqqkq. Give prob of sequence kq.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -875, -896, -949, -1046, -1199, -1420, -1721?\n\"Answer: -2*s**3 - 4*s**2 + 5*s - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1717340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 83 + (72\/(-9) - (-2)\/2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u - 10. Let l(t) = 10*t - 11. What is 6*l(c) - 7*w(c)?\nAnswer: -3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 23304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00146007 rounded to five decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/3 + 5*p**3 + 13*p**2. Let s be y(-3). Suppose q - 5*a + 0*a + 21 = 0, -2*q - 2*a + s = 0. Which is smaller: 1\/191 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 10. Let k(b) = -4*b - 9. Let t(q) = 2*k(q) - 3*p(q). What is the remainder when t(-11) is divided by (-6)\/(-4) - 3\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31752\/5 + 504\/5*q + 2\/5*q**2.\nAnswer: 2*(q + 126)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**4 + 96*p**3 - 96*p**3 + 10*p**2 - 5*p**4 wrt p.\nAnswer: -384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308059.\nAnswer: 179, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*s**2 - 5 - s**3)*(-3*s - s - s)*(24 - 13 + 143).\nAnswer: 770*s**4 + 1540*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -3. Let o be ((-10)\/(-4))\/(6\/w). Suppose -80 = -10*d + o*d. Calculate the greatest common divisor of 112 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 16*c**3 - 20*c**2 + 12*c + 31. Let n(l) = -14*l**3 + 17*l**2 - 10*l - 30. Give -6*d(z) - 7*n(z).\nAnswer: 2*z**3 + z**2 - 2*z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-290)\/232 - ((-85)\/4 + 0). Solve 274*n - 269*n = -m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 377\/536 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + -0.58. What is the second smallest value in -1, -3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 43*q**3\/6 - 65*q**2\/2 + 82*q - 1. Is 11 a factor of u(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b + b - b)*(-50*b + 96*b + 47*b).\nAnswer: 186*b**2 + 186*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 150*w - 136*w + 298*w)*(-49 + 49 - 16*w) to r*w + k*w**2 + d and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:00 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275894713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:43 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 6:23 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.09756 (b) 3.75 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-6)\/(-12)*(-2 - 0). Let x(f) = 23*f + s - 68*f + 22*f + 21*f. Give x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -231.\nAnswer: 50\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -23. Let q = 693 + -660. What is the smallest common multiple of q and j?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -741, -738, -709, -642, -525, -346, -93, 246?\n\"Answer: 2*a**3 + a**2 - 14*a - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1702, 2331, 3188, 4273?\n\"Answer: 114*i**2 + 287*i + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - -0.6. Let w = -3.1 - a. Let b = w + 0.6. Sort b, -2, 5 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 395304*s - 9766578276 = 0.\nAnswer: 49413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**2\/2 + 9. Let n(m) = -m**2. Determine n(x(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(88) - sqrt(88)*1) + sqrt(88) - sqrt(88)))\/(-4*sqrt(128)) - (4 + (4 + 2 + sqrt(396)*-1)**2).\nAnswer: -436 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79020664?\nAnswer: 2, 9877583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(9\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0910894 meters to centimeters.\nAnswer: 9.10894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 21 = -3*v, 232*s = 235*s + 13*v - 59 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 134 - 15)*(q + 0*q + q).\nAnswer: 184*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/277723 and 13\/511595.\nAnswer: 9720305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {v: 4, d: 3, a: 3, w: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + -83 + 70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79335 divided by -9.\nAnswer: -8815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9090516 and 267.\nAnswer: 809055924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*n + 64 + 124, -n + 75 = 2*s. Suppose -o = -57 - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 * -259.386\nAnswer: 25160.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 + 16*m**4 + 34*m**3 - 20972*m**2\/3 + 26921*m - 19980 = 0.\nAnswer: -20, 1, 3, 27, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/1030500 and -17\/125950?\nAnswer: 11335500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y + 835. Determine b(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -73, 2\/13, 1\/8?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -110111101000101?\nAnswer: -110111101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + -1 + (6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -495, -42, 1, 5 in descending order.\nAnswer: 5, 1, -42, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 288*t**2 - 3*t + 2. Is p(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15050\/(-3))\/(-16 - (-23056)\/1440). Round a to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q + 44. Let g(h) = h. Calculate g(u(s)).\nAnswer: -7*s + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5239*n + 1326 = -5290*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 209519 + 203361. Let y = q + -38071. Let j = 106605 - y. Round j to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -31) + (-12 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b + 5. Let d = 14 + b. Suppose 2*g - 23 = d. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*i*r**4 - i*r - 3*r**4 - 44*r**3 - 243*r**2 wrt r?\nAnswer: -336*i*r - 72*r - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 21*g + 18. Let x(a) = -507*a - 2546. Let r be x(-5). What is f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16926 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7756 + -7755. Let d(l) = -6*l**2 + 5*l - 1. Determine d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:18 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -63. Let s = -0.07 - -0.37. Which is the nearest to 2\/3? (a) 1 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Let r(u) = -5*u**2 - 127*u - 792. Let c be r(-14). Let h(j) = 0*j - 7*j**2 + 3*j**3 - 5*j - 2*j**3. Give c*i(m) + h(m).\nAnswer: m**3 - m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*2 - sqrt(13))*-2)**2.\nAnswer: 27508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*b - 344*b - 95 + 152*b as v + n*b and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358 + 1010 - 331 - 321 + 66*h**2.\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.535, 3\/4, 1969 in ascending order.\nAnswer: -3.535, 3\/4, 1969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 + 13*q + 5. Let o(p) = 4*p**2 + 7*p + 3. Let k(w) = -3*l(w) + 7*o(w). What is k(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/9 - (2\/59 + (-211588)\/(-3068))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + 4*u**4\/3 + 5*u**3\/2 + 18*u**2 - 2*u + 39. What is the tens digit of z(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599433907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(1\/10))**(-2\/79) assuming t is positive.\nAnswer: t**(-19\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 5160*c - 5162.\nAnswer: 2*(c - 1)*(c + 2581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 = p. Suppose p*y = -y + 80. Suppose -24*o + y = -20*o. Sort 3, o, -13 in ascending order.\nAnswer: -13, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10216, -20626, -31050, -41494, -51964, -62466, -73006?\n\"Answer: -h**3 - h**2 - 10400*h + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -37 + 34 + 6*-67. Let j = 711 + o. Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123\/21 + -6 + (-129)\/(-21) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 164\/14 - 4\/(-14). Let r = t + -4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 2*g + 6*g - 2*g + 9*g. Let k(h) = h**2 - 6*h. Let x(z) = 6*f(z) + 11*k(z). Let q(w) be the first derivative of w**3 - 2. Calculate q(x(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2564.893155456 and 0.072.\nAnswer: -2564.821155456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - 0.0928157647.\nAnswer: -13.0928157647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*k = -5, 0 = 77*a - 74*a + 3*k. Solve 4*t - 5 = -t - a*s, -t - 2*s = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.6. Is f <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 + -199. Let n(y) = y**3 + y**2 - 4*y. Let w be n(p). Put -3, w, 2 in ascending order.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14 = 6. Let d(x) = -x - 6. Let o be d(u). What is the tens digit of 0 + o + (-252)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12088026.\nAnswer: 2, 3, 671557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = 0, y + 0*y - 20 = -4*h. Suppose 9*o = -h*o + 1365. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(9 + 0 - 1)*((-3 + 1 + 0)*(-3 + 0 + 5) + 2 - 1 - 2 + (-5 + 2 + 1)*(-2 + 25 + 7))*(3*x - 4*x - 5*x).\nAnswer: -3120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i. Let z be c(-3). Suppose -z = 4*r - 4*k + 4, r - 2*k = -7. Let x be -4*(r - (-35)\/(-4)). What is the highest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -64 + (-2945)\/(-31) + 400\/58?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 + 3 + h**2 + 2*h**3 + 14*h**4 - 13*h**4 as z*h**2 + j*h**3 + q*h**4 + p*h + s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10283 + -22269\/2. Let a = 805 + w. What is the common denominator of 34\/3 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58194\/(-106689))\/((-138)\/(-110))?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + -7.9. Let r = -8.9 - t. Which is bigger: r or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away 616?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-2) + 2 + 560. Suppose -186*t + 24811 = 21463. Calculate the greatest common factor of t and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58656*r**5 + 6*r**4 + r**3 - 24*r**2 + 39*r + 658?\nAnswer: 3519360*r**2 + 144*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 17. Let k be v(13). Let f be -8 + 12 - k\/1. Let d = 1 + f. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20004 - -1403122?\nAnswer: 1333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4)*1)\/(4\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 29. Suppose 0 = -18*x + 5*x + 78. Let m = 8 - x. Solve -g*q + 2*t = 5*t + 9, m*t = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-27)*3\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -23*d + 4 - 2 + 25*d - 2. Let v(a) = 35*a**2 - 2. Determine v(z(g)).\nAnswer: 140*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -6.36319.\nAnswer: 3.181595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1539) + 1)*-5)**2*5.\nAnswer: 56250*sqrt(19) + 4812500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2583 and 81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 2.1876\nAnswer: 0.043752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32675.1 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029\/7 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12630 and 63516?\nAnswer: 133701180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = 8*g - 737. Suppose 0*z + g*z = 1168. What are the prime factors of z?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(4 - 9) + 11\/(22\/28). Calculate the greatest common factor of z and 2509.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:28 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 + 224 - (5 - (3 - -7) - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.650653 centuries in decades?\nAnswer: 26.50653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 2. Let a(u) = -18*u**2 + 0*u**2 - 8*u**h. Let r(x) = -x. Let v(q) = q. Let w(f) = -3*r(f) - 5*v(f). Calculate a(w(t)).\nAnswer: -104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -0.03. Let m = u + -0.08. Which is the third smallest value? (a) m (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 216919 and 55?\nAnswer: 11930545","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1055 - 3212553?\nAnswer: -3211454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 4)*(l - 2*l - l) - 3*l + 2 - 2 + (-3 + 0 + 2)*(3*l + 0*l - 2*l) - 2 - 2*l + 2)*(3*l + 2 - 2) as f + q*l + i*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*u - 68988 = -r, 0 = -2*r - 3*u - 138009. What is r rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15946 - -15946. Solve 4*n = -8*o + 7*o - 16, d = -3*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593725957 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + -3. Let v = -0.1 - j. Let i = 423\/5 - 85. What is the closest to i in -5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1272 + -349. Let k(h) = -h - 758. Let m be k(0). Let d = m - y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15664, -62020, -139038, -246724, -385084?\nAnswer: -554124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 4. Let m(z) = 2*z**3 + 4*z**2 + 3*z. Let q be m(-2). Let k be x(q). Solve -4*y - y - k = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubqb when four letters picked without replacement from bufuffuuqbubu?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-9))\/((-3)\/(-213)). Let g = 69 - r. Let b be (-156)\/(-26)*g\/(-4). Put b, -4, -2 in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170280 and 6966?\nAnswer: 1532520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 13*q**2 - 9*q - 45. Suppose 0*z = -4*h - 5*z - 12, -24 = -2*h + 5*z. Is u(h) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -2*t, -3*t + p = 2*t - 17. Find the common denominator of t\/(-27)*(-3)\/(-2) and ((-70)\/22)\/(-4 - -5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)\/(10\/45). Let c(o) = 13*o - 49. What is the lowest common multiple of c(l) and 18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 39, 84, 151, 246?\n\"Answer: m**3 + 2*m**2 + 16*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 + 2.5. Let g be (-77)\/42 + (-4 + 3 - -3). What is the nearest to 1\/32 in y, -2\/13, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 25*z - 11. Let x = 83 - 77. Let v(g) = 13*g - 6. Calculate x*s(k) - 11*v(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3550*m**3 + 171*m + 4292*m**3 - 171*m.\nAnswer: 742*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 6*l - 4. Let i(d) = -d - 16. Let s be i(-12). Let p be m(s). Let g = p + 3. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 22 + 4. Let i = -10 + l. Let w be 14*1\/i*-3. Which is smaller: -2\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 9) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 + 3*f**2 - 4*f - 8*f + 15*f - 3. Let w(y) = -5*y**3 - 2*y**2 - 2*y + 2. Calculate -2*n(c) - 3*w(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-3)\/3*-2. Let t be (-6)\/8 - x\/4. Let b be ((-1)\/2 - 1)\/3. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5930, -4313, -21384, -45283, -76010?\nAnswer: -113565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 - 14021*i**4 + 13965*i**4 - 3*i as j*i**2 + x*i**3 + p*i**4 + f + w*i and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*r - 63*r + 12*r)*(-3*r**2 + 0*r + 0*r) to the form s + w*r + m*r**3 + a*r**2 and give m.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 5*t - 1. Let l be f(4). Let g be (0 + l)*(-1)\/(-3). Let v be (3 - (g - 2)) + 1. Let a(w) = w**3 - 5*w**2 + 6. Determine a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1719*w - 10 = 1718*w, 4*p + 2*w + 30 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 + -327. Solve 5*r + 2*z = r + 14, 0 = 5*z - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (571 - 571 + 664*s)*(4*s - 4*s - 2*s) + (-s - 4*s + 4*s)*(2*s + s - s - 3*s + 3*s - 2*s + (3 - 1 - 4)*(-2*s + 3*s + s)).\nAnswer: -1324*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72240, -72244, -72250, -72258?\n\"Answer: -s**2 - s - 72238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64 from 0.2.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 21) + (0 - 7 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (2*sqrt(448) + sqrt(448)) - sqrt(448))\/(sqrt(36)\/sqrt(144) + sqrt(4)).\nAnswer: -48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:16 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26362, -25775, -25174, -24553, -23906, -23227, -22510?\nAnswer: -21749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 9*z - 3322. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 181*c**2 + 7*c - 6. List the prime factors of b(1).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 520 = -2*r, -2*d + 72 + 170 = 4*r. Calculate the remainder when d is divided by ((2 - 2) + 1)*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-15))\/(3\/(-45)). Suppose w = -4*x + 69. Suppose 0 = -5*q - x, -g + 2 = 2*q + q. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 14. Let h(p) = -p**2 + 7*p + 7. Let q be h(k). Let v = q - 5. Put v, 0, -1 in descending order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 51. Suppose 4*y + 496 = -3*w - w, -5*w - 656 = -4*y. Let o = w - -170. Calculate the remainder when o is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4501.\nAnswer: 1\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 1.3. Let m = -101 - -103. Which is the nearest to m? (a) 0.14 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 3\/20, 2, 667?\nAnswer: 667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233375015 or 233375017?\nAnswer: 233375015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n + 2. Let j be w(-8). Suppose 0 = z + j*z + 12. Let u(y) = 2*y - 2. Let d be u(2). Sort -3, z, d in decreasing order.\nAnswer: d, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -1\/2*r**4 + 1\/6*r**3 - 9 + r**2 + 0*r - 1\/10*r**5. Solve p(y) = 0 for y.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-4) - (-12)\/(-16). Let p(y) = -7*y**3 + 4*y**2 + 3*y + 1. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70998972 to the nearest integer?\nAnswer: 8426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.77 + 0.73. Let s = -2 + d. Let z be -5*((-4)\/25)\/(-2). What is the third biggest value in -0.3, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8503 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*c + 12, -4*c + 8 = t - 4. Suppose 787 = 4*p - g - 59, -t*p - 3*g = -838. Is 46 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85641*g - 85649*g - 8. Is -64\/137 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 191*k**2 + 164*k - 35. Calculate z(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -56, -94, -146, -212?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 1576*i**2 - 270916*i - 548104 = 0.\nAnswer: -523, -2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 15*q**2 - 30*q**2 + 7*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001324657316 rounded to seven decimal places?\nAnswer: -0.0001325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakyakoeoskko. Give prob of picking 2 e and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5995 - -11166. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(500) + (sqrt(500) - (sqrt(500) + 5*sqrt(500))))\/(sqrt(90)*4 - sqrt(90)).\nAnswer: -20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179620253?\nAnswer: 6271, 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8428 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(1088))**2 + sqrt(1088)*2*-1 - -2*(sqrt(1088) - 3*(sqrt(1088) + 2)).\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.052 - 0.048. Which is the smallest value? (a) 2 (b) 1\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:47 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (0 + sqrt(396) - sqrt(396)) + sqrt(396)).\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 12*i = -l + 2, -5*l + i = -10. Find the third derivative of -44*r**2 + 7*r**l + 29*r**6 + r**6 + 8*r**2 wrt r.\nAnswer: 3600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:46 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 345e?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 196 = 2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -26. Let p be 2*(-3)\/f + 6\/(-12). Let d be 20\/8*(-16)\/(-20). Which is the nearest to p? (a) -2 (b) d (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9472\/3 + -3159. Which is the second smallest value? (a) -0.2 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + 25. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/7 and (-23)\/(-1 + 6\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 23 = -4*g, p + g - 10 + 5 = 0. Let j be (-5)\/(-15) - (-560)\/p. Let r be ((-2)\/(-10))\/((-7)\/(-595)). What is the greatest common factor of j and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w. Let y(r) = -441*r + 140. Determine o(y(d)).\nAnswer: -1323*d + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5921 + 5898. What is the closest to i in -5, 8, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 241*w - 554. Does 13 divide t(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2050133, 2050144, 2050153, 2050160, 2050165?\n\"Answer: -q**2 + 14*q + 2050120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c + 24. What is n(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 7. Suppose 0*u + 4*u = 0. Let h be 0\/(3\/(-3 + u)). Give n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5614896 divided by -267376.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, o: 2, g: 1, p: 3}. Give prob of picking 2 u and 1 p.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/99 or -191.18?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - (-318 + 30))\/(-3)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7791 - 1.4091. Are b and 0.123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5619315932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:23 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((6\/(-9))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -322.1 and 7087514790.\nAnswer: 7087514467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 73*r**2 + 18*r - 3459. Is 155 a factor of v(77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*h + 5 = 0, 10 = 2*t - 0*t - 5*h. Let x = -68 - -26. Let g = -44 - x. What is the second smallest value in 4, g, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -458, -927, -1302, -1571, -1722, -1743, -1622, -1347?\n\"Answer: 2*r**3 + 35*r**2 - 588*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135489 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = d + 4*t, 0*t + 12 = 3*t. Let l = -0.147 - -2.147. Which is greater: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*g**3 + 47*g**3 - 82*g**3 + (2*g + 3*g - 6*g)*(-g**2 - 5*g + 5*g).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/2382925 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 809296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**9\/3780 - p**8\/840 + p**7\/630 + p**6\/90 - 11*p**4\/4 - 3*p. Let r(m) be the third derivative of j(m). Factor r(k).\nAnswer: -4*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381945*f + 9*f**4 - 3*f**2 + 3 + 12*f**4 - 5*f**4 - 2*f**3 - 381948*f - 2 to u*f**2 + m*f**3 + d + y*f + k*f**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -418 and 0.02209.\nAnswer: -9.23362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.03. Let i = r - 0.12. Which is greater: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-187)*(-88)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 5 (c) -42 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003723 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447908460.\nAnswer: 2, 5, 122395423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -54 - (1 - 1) - -3. Let h be o\/6 + 1\/(-2). Let b be 6\/(-3)*3\/h. Sort b, 5\/3, 3\/8.\nAnswer: 3\/8, b, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/12 and 63\/2428.\nAnswer: 7284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 - 1. Let i be ((-1)\/(-3))\/((-3)\/36). Let p(y) = -3*y**3 + 2*y**2 - 2. What is i*d(k) + 2*p(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -2*t - 3*i, -4*t - 3*i = -2*i - 604. Suppose 2*a + 3*l = 413 - t, 0 = 5*l - 5. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-47)*(a**(-1))**3 assuming a is positive.\nAnswer: a**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31771171659 + 5*n**2 - 31771171659.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {t: 4, q: 3, x: 4, l: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375612 by -31301.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, -0.047, -3, -300.6?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 33 + -8 + -37 - (-21 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111001010100000111 (base 2) in base 5?\nAnswer: 2400241024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95)*-1 - sqrt(95)) + -1*sqrt(95)*-2)\/(3*sqrt(10)\/sqrt(2)*6).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905, 2262, 3571, 4808, 5949, 6970?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a + 16. Let p be f(11). Let v = 61 + p. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x - 2. Let k be y(-2). Suppose 4*q - k = -2*n, -q + 5*q - 5*n = 0. Let d(z) = -11*z + q*z + 5*z. Let h(t) = 2*t. Give d(h(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18*f - 3. Let i(t) = -3*t + 22. Let n be i(8). Let l be n\/(-5) + 81\/135. Let o be p(l). Solve 4*u = -o - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -29.\nAnswer: 19\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114176594 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + ((-793)\/65 + 0 - 2\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-6))\/2 + 4\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7050\/(-100))\/((1\/(-1))\/(((-50)\/15)\/(-5))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2099 = -5*g, 3*d - 1566 = -4*g + 5*g. Is d a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-39)\/(-16)*16\/12 and 3\/(-8) - (-1435)\/1960.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333655?\nAnswer: 5, 23, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40258\/(-2)*(-4 - 771). Suppose -4*t - p = 5*j, 0 = 5*t - t - 2*j + 15600010. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 11650859.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33762.\nAnswer: 2, 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*n - 69 = -30, 4*h + 2*n + 54 = 0. Let s be (h\/(-30))\/(2\/10). Suppose r - s = 3. Solve 22 = -2*d + 4*g, r*d - g + 5*g - 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q - 38*q - 63*q.\nAnswer: -82*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**8*g\/g**(-3))\/((g*g**(-2\/5)\/g*g)\/g**(-3\/8)))**(8\/7))**(-45) assuming g is positive.\nAnswer: g**(1431\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 638266301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**3 + 2\/21*q**8 + 0 + 0*q**4 + 0*q + 19*q**2 + 0*q**6 + 0*q**7 + 7\/30*q**5. What is the third derivative of p(h) wrt h?\nAnswer: 1920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -s. Suppose s*n - 4*n = 1380. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 71?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121.251979 - 0.188979. Let z = 121 - p. What is z rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/16)\/(-7)*(-2)\/(-6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4057565, -8115130, -12172695, -16230260, -20287825, -24345390?\n\"Answer: -4057565*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 3*i - 3*a, -3*a = -5*i - 2*a + 467. Suppose k + 2*k = i. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 + 40*n - 16. Let q(x) = -4*x**2 - 13*x + 5. Let m(b) = -16*q(b) - 5*r(b). Factor m(s).\nAnswer: 4*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4 - 105*f**3 + 483*f**2 + 585*f = 0.\nAnswer: -39, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.90869479 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times 45651\nAnswer: 8673.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by 19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 998*a + 141*a - 66*a + (1 + 0 + 1)*(a - 2*a + 0*a) to s + o*a and give o.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2912 + 3*k**3 + 2911 - 37*k**2 - k**3 + 3*k**4 - 214*k**2 as x*k**3 + n*k**4 + g*k + v + f*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17123324 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**2*t**2 + 124*k**2*t + k**2 - 3*k*t**2 + 2*t**4 wrt t.\nAnswer: 14*k**2 - 6*k + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1775)\/75*(2 - 2\/(-2)). Let u = q - -84. Differentiate -u + 1 + 5*o + 36*o - 6 wrt o.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832130227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 7203.\nAnswer: -1\/7203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:07 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/702*(-90)\/12*(-444)\/(-6105).\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 36. Let y(b) = -b**3 - 10*b**2 - 8*b + 9. Let o be y(n). Solve 0 = m - o + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32878 + 1380991\/42. Calculate the common denominator of o and (2\/(-20))\/(2\/101).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:43 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 51, 87, 123, 159, 195?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232130 is divided by 308030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -16. Let u(y) = y - 1. Does 6 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 541.343 milligrams?\nAnswer: 0.000541343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 914 divided by -60\nAnswer: -457\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5. Let v(f) = 4*f**2 + 4*f + 11. Let y be v(-2). Suppose 0 = y*l - 25*l + 726. What is the remainder when l is divided by u(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*z - 109*z + 265*z as i + t*z and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*o - 1012 + 719 - 2096 = 3211 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2 = 3*u - 5, -4*r - 5 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*f**4 + 977*f**2 + 117*f - 285 wrt f?\nAnswer: 2412*f**2 + 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1348 = -5*v - 1292, 67 = -4*b - v for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*q + 138 = 0, 266 = -12*i + 16*i + 3*q. Which is greater: i or 39?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408431*c*u**2 + 3*c*u - 3*c - 2942*u - 1 wrt u?\nAnswer: -816862*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -682 + 674 - (-5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37884 or -17.84?\nAnswer: -17.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 10*h**2 + 11*h + 3. Let g = -23 + 34. Let f be t(g). Factor 2\/9*b**f + 2\/9*b**2 + 0*b - 2\/9*b**5 + 0 - 2\/9*b**4.\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.5. Let k = -2.2 - -0.2. Let q = -45\/217 + 2\/31. Which is the third biggest value? (a) k (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/4 + 16*i**3 + 90*i**2 - 839*i. Factor h(u).\nAnswer: 3*(u + 2)*(u + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 16. Let i be w(-11). Let p = 269.1 - 486.7. Let y = -218 - p. Which is the fourth smallest value? (a) i (b) y (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -264065*v**2. Let d(j) = j. Determine d(f(c)).\nAnswer: -264065*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -21, -72, -159, -294?\n\"Answer: -2*q**3 - 13*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*u**3 - 1108*u**2 - 8079 wrt u.\nAnswer: 12*u**2 - 2216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*x**2 + 873*x**2 - 3050*x**2 + 1307*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4 + sqrt(304) - (sqrt(19) + sqrt(931) + 4)) + -3 + 5*sqrt(114)\/(-2*sqrt(6)))**2.\nAnswer: 39*sqrt(19) + 3239\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01952174 to five decimal places.\nAnswer: 0.01952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.707255125 to 2 dps.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 22*t**2 + 39\/20*t**6 + 0*t + 4 + 1\/15*t**5 + 0*t**3 - 5\/24*t**4. What is the third derivative of x(s) wrt s?\nAnswer: 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/18*(-17396)\/(-21745).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 25*q**2 + 76*q + 10. What is i(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86655255.\nAnswer: 3, 5, 5777017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116901 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c + -1564?\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97 - -32730?\nAnswer: 32633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1195 divided by 1\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122210120 + -20?\nAnswer: 122210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**3*h**5 + 2*b**3*h - 1845*b*h**5 - b*h**2 - 1735*h**2 - 1 wrt h?\nAnswer: -420*b**3*h**2 - 110700*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 3. Let x be i(-3). Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -8421*o**5\/20 - 19*o**4\/12 + o**3\/6 - 3*o**2\/2 - 1288*o - 1. Find the third derivative of m(c) wrt c.\nAnswer: -50526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let z(d) = -32*d + 5. Give v(z(p)).\nAnswer: 1024*p**2 - 320*p + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 92.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -52040\/7 > -7433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -53, -67, -97, -149, -229?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v - 25 = -76*v. Let j = 679 + -675. Solve -j*z = -v*i - 18, -5*i - 6 = 3*z - z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 4*w + 10. Determine v(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + -5*((sqrt(396) - (1 + sqrt(396))) + 5))**2 + 3 + 4.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/u**5)*u*u*(u*u**0)\/u*u*(u\/u**0*u)**(-3\/2) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Determine j(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37748 - 37318 = 215*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 3*u + 2*u)*(u**3 + u**3 + u**3) + 0*u**3 + 5*u**3 - 22*u**4 + 20*u**4 as d + g*u**4 + v*u + a*u**3 + t*u**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10 - ((-89 - -99) + (-1 - 9))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 8*k - 14. Let b be q(10). Let i be (340\/b)\/((-1)\/(-3)). Let u = -108 + i. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95820*a*f**3*l + 729*a*f*l**2 - 9*a*l**2 - 20*a*l - 3*a + 6711 wrt f.\nAnswer: 287460*a*f**2*l + 729*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10003320 divided by 416805?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34268 = -3*b + 4*s, -8*b = -9*b - 3*s + 11414. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 19*k - 15. Let l be q(18). Suppose 5*z + 4 + 0 = 4*w, w = l*z + 8. What is the smallest value in z, 0.3, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 1488.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*c = 4*p + 61, 2*p + 5*c = -21. Let t = 28 + p. Suppose 2*h - a - 68 = -2*a, -t*a = h - 34. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 10. Let h be l(-11). Is (h\/2)\/((-2)\/536) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/30 - 5*u**2. Let m(q) = -29*q. Give m(w(y)).\nAnswer: -58*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + 5*(sqrt(3) + 0))**2 + -1.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.4 + 7.5. What is the nearest to c in 0.3, 0.2, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l + 145 = 4*s, 105 = 3*s - 5*l. Let p = s + -41. Let j = 0.048 + -2.048. Which is the closest to 0? (a) p (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44493877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 936?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10599684 divided by 3533228.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51696)\/57440*(-1220)\/9.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + (4*sqrt(256))\/(-4*sqrt(2)*-6)))**2*-6.\nAnswer: -1600\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2838809729 to the nearest integer?\nAnswer: 53280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -11*r - 45 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 26*u = -3, u + 25 = 3*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1057 + -1014.3. Let n = x - 45. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6678814 is divided by 1053?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2912, -10876, -24150, -42734, -66628?\n\"Answer: -2655*p**2 + p - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90210 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102073899 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -42, -33, -8, 39, 114?\n\"Answer: j**3 - j**2 - 5*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/903 + 1542\/129. Solve 3*a - 8 = -i, a = -19*i + 15*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 + 145*i**2 - 8*i + 8. Let y(c) = 17*c**3 - 436*c**2 + 22*c - 22. What is -11*b(g) - 4*y(g)?\nAnswer: -2*g**3 + 149*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (76*w - 8 + 1 + 7)*(235*w**2 + 84*w**2 + 138*w**2).\nAnswer: 34732*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*k, -3*n + 0*n = -4*k + 4. Suppose -87 = 3*w + w - 5*f, w + 6 = -n*f. Let j be -1 - 17\/(-3) - (w + 18). Is j equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = h + 20. Suppose 5*l + 136 + 119 = 5*v, h*v - l = 103. Calculate the remainder when v is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let i(m) = -110*m. Give 2*i(z) - 20*t(z).\nAnswer: -180*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.440982 and -0.5.\nAnswer: 1.220491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 70. Let k = s + -50.21. What is k rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0, 42.5, -385.7, -1?\nAnswer: -385.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81640.304 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2494 - 11*l - 2494)*(-l + 2*l + 42 - 41 + l**3) to c*l**2 + b + f*l**4 + m*l + n*l**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 - 160*t = 0?\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, b: 1, e: 2, r: 1, n: 1}. Give prob of sequence re.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5605 = 72*x - 7499. Calculate the remainder when 261 is divided by x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 + -133. Let x(d) = d**3 - 29*d**2 - 30*d + 6. What is the remainder when 17 is divided by x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326491965?\nAnswer: 3, 5, 806153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61371 is divided by 448?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*j. Suppose 0 = -4*r + 5*v + 2, 3 = -4*v + 11. Suppose 3*u - 4*u + j*f - 3 = 0, -r*f = -4*u - 3. Solve u = -5*c - 15 - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2063 + 4*h + 1199 - 4460 - 13*h + 1198.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 445 = 5*q. Let r = -50 + q. Suppose n + 18 = 2*i, n + r = 5*i - n. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 12, -2587.51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600 - 1612. Let f(t) = 2*t**2 + 22*t - 14. Give f(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/16 + o**3\/4 - o**2\/4 - 22. Factor n(w).\nAnswer: -w*(w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/1*196\/49)\/((-25)\/450).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.6751 micrograms in nanograms?\nAnswer: 170675.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3301 or 3302?\nAnswer: 3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 993637649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104445 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.12 - 14.12. Let j = -79.67 + 80. Let w = -0.03 + j. Sort 1\/4, i, w.\nAnswer: i, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 1, i: 2}. Give prob of picking 1 r and 2 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5532 - -17979. What are the prime factors of y?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95567, 95590, 95613, 95636, 95659?\n\"Answer: 23*l + 95544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 77122 + 354128 = 0. Round i to the nearest one hundred.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(4))\/sqrt(2) + -2*(-2*sqrt(18))**2 + (((sqrt(98) + (sqrt(98) - 3*sqrt(98)))*1)**2 - sqrt(98)) + -1.\nAnswer: -47 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 20. Calculate the least common multiple of v and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -123885*t**2 - 3097124*t + 23. Determine u(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from bbbsgbssbbvbvgbbbvbb.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 61*i + 1597. Give k(-78).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l + 8. Let r(n) = -19*n - 228. Let x be r(-12). Calculate a(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from cgknnnnnnsttgn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 6)\/(0 + -2). Suppose c*o = 2*o - 4. Factor 20*q + q**4 + q**o - 9*q - 3*q**3 - 8*q - 2.\nAnswer: (q - 2)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)*i)\/(i*i*i*(i\/(i\/i**(1\/2)*i))\/i))**(-31)\/((((i\/((i*i**(2\/13))\/i))\/i)\/i*i**(2\/15))\/(i**(4\/3)*i**(-8))) assuming i is positive.\nAnswer: i**(6031\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7335.0010002 - -7335. Let u = 0.001 + m. What is u rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0133 + 102520552.\nAnswer: 102520551.9867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.159789ml?\nAnswer: 0.007159789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6412265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8344.909 nanometers to meters.\nAnswer: 0.000008344909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -15*g + 2539. Give x(179).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 6*q**2 - 6*q - 15. Let j(t) = -3*t**3 + 13*t**2 + 13*t + 31. Let x(i) = -6*j(i) - 13*l(i). What is the derivative of x(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + -33. Let o be 73\/l + (-28)\/224. Which is the closest to -1? (a) 2\/9 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -0.0555.\nAnswer: -0.2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-948)\/156 + 6)\/((-1)\/1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9580 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331030200230 + -11?\nAnswer: -331030200301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/b*b*b\/(b*b**(-4\/7))*b*(b\/b**(-2\/7))**(-28\/5) assuming b is positive.\nAnswer: b**(-267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 212. What is the third biggest value in -1.2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 71136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9516819.\nAnswer: 3, 13, 244021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*34844\nAnswer: -8362.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168\/5 + -657\/20. Let w be 14*(-3)\/(-9)*3. Let j be (8\/10)\/(w\/10). Put j, f, -4, -0.4 in descending order.\nAnswer: f, j, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + w - 7. Let q(y) = -4*y**3 + 4*y**2 + 4*y - 20. Let h be 2*(-4)\/8 + 4. Let v(x) = h*q(x) - 8*j(x). Factor v(r).\nAnswer: -4*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(170\/(-390))\/17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5913 - 4374. Which is the closest to 1? (a) -5 (b) -3 (c) 1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4\/39, 1.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209172474 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-730)\/22 + (-56)\/(-308). Let y be h\/9 + 2*1\/(-6). Let j = -10.5 - -10. Which is the fourth smallest value? (a) 0.4 (b) j (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m*m*(m*m*m\/m**(-2\/5))\/m*m)\/m*m)**(2\/5))**(-1\/6) assuming m is positive.\nAnswer: m**(-37\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**6 + 5*g**5 + 248*g**4 - 8787*g**2 - 125*g wrt g?\nAnswer: 1680*g**3 + 300*g**2 + 5952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/10)*h*h**4*h*h**7*h\/(h**(-15\/4)\/h) assuming h is positive.\nAnswer: h**(373\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*(-84)\/((-112)\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -15.8. What is the closest to 1\/6 in u, 3, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 25433*p**2\/2 + p + 72. Let g be b(3). What is g rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3398 - 351 = -170*u + 2881 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 769, 2\/3, -0.12, -16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65727 by 5.\nAnswer: -65727\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**2 + 2*a - 9. Let u = 83 - 77. Suppose 0 = u*v + 11 + 13. Is s(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225100350 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = f - 40. Let a = -2596 - -2638. What is the least common multiple of a and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 794 + 92. Calculate the lowest common multiple of 8 and a.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - 80\/(-36). Let m be 2 + 2 + q + -5. Differentiate -2 + 0*r**3 + m + 5*r**3 with respect to r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (30 + 1 + -14 + 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**5 + 6*z**4 - 4*z**3 + 4. Let k = -89 + 85. Let d(m) = -3*m**5 + 7*m**4 - 5*m**3 + 5. Let r(i) = k*d(i) + 5*t(i). Find p, given that r(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*d + 57, 3*d - d - 37 = -3*t. Suppose d*i - 331 - 329 = 0. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y\/(y**(-3\/7)\/y))\/y*y**(-1\/4))\/(y**(-3\/5)*y*y\/(y**6\/y)) assuming y is positive.\nAnswer: y**(949\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 0.6. Let v = m + 0.7. Which is the nearest to -3? (a) -5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 619\/1305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Suppose 5*v + 0 = 10. Let d(c) be the first derivative of 1 + v*c**3 + 1 + 1. Calculate u(d(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -308*p**3 - 21596*p**2 + 138848*p + 86336 = 0. What is p?\nAnswer: -76, -4\/7, 71\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -9*k**5\/10 + k**4\/6 + 4*k**2 + 2*k + 3. What is the third derivative of i(s) wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022178 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + 42*f + 10. Let l be g(-4). Let p be (18646 + -6)*2*125\/l. Round p to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2 - 5*f. Let p = -184 + 189. Let j(i) = 5*i**2 + 2*i. Give p*j(x) + 2*y(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.1378796 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 14*w**2 - 18*w + 44. Determine y(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2242 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 22214068000 to the nearest one million.\nAnswer: 22214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 9*l + 20. Let q be 1\/15*(l - -16). Sort 0.32, q, -4.\nAnswer: -4, 0.32, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 434332 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 68156322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*c = t - 19, 4*c = -3*t + 35. Suppose t = 3*o + m - 1, 3*o = -2*m + 5. Let k = o + 9. What is the remainder when 26 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-2)\/3*45\/(-30)). Suppose -4*v = -5*l + 29, o = -2*l + 4*v + v + 15. Suppose 52*t**3 + 3*t - 3*t + t**4 - 53*t**3 - l*t**2 - 3*t = 0. Calculate t.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v**(-2)*v)\/(v**(-1)\/v)**(2\/81) assuming v is positive.\nAnswer: v**(490\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 3, d: 5}. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 14) to base 3\nAnswer: 100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 - -0.02. Let i = 0.3 - a. Let k = i - 0.1. What is the nearest to 1 in k, -1, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*x + 19, 2*z + 9544 - 9555 = x for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 + 301.013. Let y = t - 0.013. Which is the second biggest value? (a) -2 (b) -1 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-8))\/(4\/16). Let i be (-9)\/((d\/(-12))\/(-3)). Calculate the greatest common factor of i and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -7*p**4\/24 - 32*p**2. Calculate s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Suppose 4*f = 5*f + 4*d - 15, d - 20 = m*f. Let c(i) = -i**2 + 2. Let t be c(0). Put 0, t, f in decreasing order.\nAnswer: t, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 2*i**2 - 5*i - 3. Let t be z(-3). Calculate the common denominator of (16 - -1)\/(t\/(-7)) and 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-12)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34032497786411\/12419868450440 + -12\/263803493. Let l = t + 41\/1177. Calculate the common denominator of l and 71\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113652 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 15 = 23*k. Suppose 0*j - j + 6 = -2*u, -7 = -5*u - k*j. Let a(i) = -i**2 - 8*i - 2. Let l be a(-7). Put u, l, 1 in increasing order.\nAnswer: u, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21403\/462938 - -3\/10766. What is the nearest to -1\/9 in 4\/3, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9534 is divided by 126?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43869 divided by -21.\nAnswer: -2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 4833 - 18351. What is the greatest common factor of d and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126.36 + -129.36. What is the fourth biggest value in -45, -2\/5, n, -2\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*i = 30*s - 234*i + 125, -85 = 5*s + 2*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*o + 143623*m**3 + 6*m**2*o - 1224*o with respect to o.\nAnswer: -m**3 + 6*m**2 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -2*r + 2*w, 0 = 4*r + 4*w - 8. What is the fourth smallest value in -1, -34, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 495\/(-10)*100\/(-6). Calculate the greatest common divisor of 110 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 144*c**2 - 150*c - 635. What is j(-71)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 297*t + 15433 = 77*t for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*w**2 - 4*w**2 + 0*w**2)*(-4 + 0 + 2)*(-1 + 1 - w) to the form z + k*w + o*w**2 + g*w**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 99. Suppose k*i = 25*i + 801. Suppose 0*l = -3*g + 3*l + i, -g - 3*l = -73. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 minus 111?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 5*h - 3. Let x(j) = 1 - 6 - j + 0. Let g be x(-7). Let z be f(g). Solve 0 = -5*y + 25, -4*i - 1 = z*y - 0*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c = 19 - 95 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (17 - 23 - ((13 - 128) + 16))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61407 and 459?\nAnswer: 3131757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6642940 is divided by 6642924.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 - 3*w**3 + 5*w**3)*(-4 - 2 + 1) + (2*w - 4*w + w)*(-4 - 1 + 2)*(-2*w**2 + 4*w**2 - w**2) to x*w**3 + j + g*w**2 + i*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 126. Determine b(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3871*f**2\/2 - 208977*f\/4 - 1539\/4 = 0.\nAnswer: -57\/7742, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2) - -1) + (-1605)\/(-18) - 388\/582?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -28. Let p be (-20)\/(-16)*(-2 + t). Solve -a = -2*a - 3*n + 10, -5*n = p*a - 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 607360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 66*t**2 + 13*t - 93. Let n(a) = -26*a**2 - 5*a + 36. Let q(i) = 13*n(i) + 5*p(i). Let y(l) = 3*l**2 - 11*l. Give y(q(r)).\nAnswer: 192*r**4 - 56*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 140 = -2*u, u - 6*u + 53 = 3*h. Calculate the remainder when 62 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2\/13*g**5 - 2\/13*g**2 + 6\/13*g**3 + 0 - 6\/13*g**4 + 0*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -977, -1907?\n\"Answer: -930*w + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102 times -5348?\nAnswer: 54.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u + 3. Suppose u*r - 5 = 1. Which is smaller: 11\/6 or r?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955618240*p**2 + 477809113*p**2 + 477809122*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7045166359 to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/30 and (-2387)\/1485 + (-4)\/(-20)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2. Let j = 13 + 15. Let k(p) = 34*p + j*p - 62*p - 2*p**2. Calculate g(k(q)).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 r when four letters picked without replacement from rxecobecbxrxbcrccrc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (552\/3)\/1 - 1. Suppose -4*q = -5*q + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7467 (base 10) in base 6?\nAnswer: -54323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 168203.3ug?\nAnswer: 0.1682033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.101 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y + 39. Let u(r) = -20*r - 60. Let z(m) = -10*m - 31. Let p(c) = -3*u(c) + 7*z(c). Let t(f) = 4*p(f) + 3*q(f). Give t(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(6)\/sqrt(3))*-2)**2.\nAnswer: -36 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 177*f - 1073. Determine v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 0.2 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 5*r - 1 = n - 5*r - 16, -590 = -4*n - 253*r for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k + 87 = 0. Let p = k + 8. Let l be (-3)\/p*14\/(-12). Sort -5, -2\/19, l in increasing order.\nAnswer: -5, l, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236 = 335*a - 561 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.53*16\nAnswer: 8.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6302, -6272, -6248, -6242, -6266, -6332, -6452?\nAnswer: -6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165052 (base 7) in base 12?\nAnswer: -731b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2864*d. Let j(f) = -6930*f**2 + 3*f. What is n(j(r))?\nAnswer: 19847520*r**2 - 8592*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54287\/60 - 4546\/5. Find the common denominator of -97\/8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42bcc6 (base 15) to base 9\nAnswer: 5874386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*((2 + sqrt(1539) - sqrt(1539))*-3 - sqrt(1539) - sqrt(1539))*-2)**2.\nAnswer: 17280*sqrt(19) + 495360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-48)\/(-9) - (-2)\/6. Let m be (-10 + (-8)\/(-2))*4\/v. Let t(i) = -3*i + 3 + m*i**2 + 4*i**2 - 7*i**2. What is t(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1072 and 127\/84?\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c - l, -l + 7 = -4*c + 61. Let f = c + -9. Factor 10\/9*w - 20\/9*w**3 + 0*w**2 - 4\/9 + 20\/9*w**4 - 2\/3*w**f.\nAnswer: -2*(w - 1)**4*(3*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/17 - 8*p\/17 - 10\/17 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/30 - 7\/10. Let t = 6 + -1. Which is the closest to n? (a) t (b) -4\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r**2 + 7*r**2 + 11*r**2 + 20*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7789*x**2 - 12 + 41*x - 15578*x**2 + 7791*x**2 in the form q + s*x**2 + m*x and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-60))\/(2*(-5)\/(-25))*(-560)\/14?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 - -1134175.88086?\nAnswer: 1134176.17086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032*1.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3 - 14*h**2 + 34*h - 18 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 142. Find the second derivative of -5*f**2 + 13*f**2 + 21*f**4 - w*f**2 - 41*f wrt f.\nAnswer: 252*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -214*i**2\/7 - 40234*i\/7 - 376\/7 = 0.\nAnswer: -188, -1\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 5 = 0. Sort s, 2, 1, 0.4 in ascending order.\nAnswer: 0.4, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -1\/4*w**4 + 3\/2*w**2 + 0*w + 12 + 0*w**3. What is the second derivative of v(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 3 + 0 - 4. Suppose -5*l = 3*f + 7 - 17, -3*f = 3*l - 6. What is c(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-312))\/((-3)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1 + (5 - 2 + 0)*(3 + 2 - 1) + 0 - 2 + 0)*(156*h - 34*h + 12*h)*(2*h - 2*h + 3*h).\nAnswer: 3216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65472 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -137 (b) -2\/7 (c) -0.03 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*k - 2*k**2 + 3*k**2 + 178*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.068 + 0.006. Let m = q - -0.262. Which is the fourth smallest value? (a) -2 (b) m (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299 + -281. Solve 3*p - c = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b244 (base 16) to base 8.\nAnswer: 331104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1313309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21b11 (base 16) to base 11\nAnswer: -94756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 7, e: 5, i: 3}. What is prob of sequence oec?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 114. Let s be 14\/(-5) - (-3 - -1). Let o = -1 + 4. Put o, s, d in decreasing order.\nAnswer: o, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 1. Let a(y) be the second derivative of -y**3\/2 - y**2\/2 + 6*y. Let u(j) = -13*a(j) - 6*h(j). Let x be (21\/9 - 2)*-18. What is u(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11.006. Let s = 2.006 + o. Is s bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 - -154. Which is smaller: k or -381\/5?\nAnswer: -381\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566331289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1333 - 1329. What is the highest common factor of 9 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*l = -873*l + 14866 - 68647 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d**4 - 89*d**2 - 6*d - 15217 wrt d?\nAnswer: -24*d**3 - 178*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) 4\/7 (c) 1.9 (d) -2 (e) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -0.056, 12685\/3?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(76) - (sqrt(76) + -2 + -5)) + 1*((sqrt(76) - (1*(sqrt(76) + sqrt(76) + -1 + sqrt(76)) - sqrt(76))) + sqrt(76)))*4*-5)**2.\nAnswer: -115200*sqrt(19) + 2488000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37921\/6 - 6298. What is the common denominator of 1\/14 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 814 = 2*a, 0*a + 2*a = -k + 826. Suppose a = 5*z - 4*r, 324 = 3*z + 5*r + 62. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 57.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111.51 - -111.41. Let z = -8.03 + 8. Let i = -0.43 - z. What is the closest to p in 4\/9, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2235.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*w**3 + 633*w**3 - 322*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2210 - -2223. Is 4 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17590 = 4*y + 2*q, -1801*y + 13195 = -1798*y + 4*q. Is 4397 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 28754.\nAnswer: 86262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3 + 4232023*v**2 + v + 33238267 with respect to v.\nAnswer: -3*v**2 + 8464046*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 + 30*i**2 - 164 wrt i?\nAnswer: -8*i**3 + 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 + 0 + -1)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = 3*m + 255, -3*m = -15. Let b = y - -193. Suppose s - 133 = j + b, 5*s = -4*j + 946. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 14*k - 14. Let m be h(-13). Suppose -2*n = -5*n + 3. Let f be 90\/(-46) + (3 - n). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1712 and 319716?\nAnswer: 1278864","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 59 = -326. Solve -3*q + 5*w - 12 = 0, 2*q - w + b = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-2*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*c = -38 - 35, w - 4*c + 64 = 0. Let t = w - -60. Solve 4*d - t = 8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23391*t**2*u + 6*t**2 + 2*t*u - 3*t - 96 wrt u.\nAnswer: 23391*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let b(l) be the first derivative of -10*l**3 - 96. Determine c(b(a)).\nAnswer: 1800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3699 - 7407 - 2*v - 4*v**2 + 3709. Calculate z(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -268324*g**3\/11 + 269360*g**2\/11 - 1037*g\/11 + 1\/11 = 0.\nAnswer: 1\/518, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 261. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 1, h: 2, g: 4, y: 5, b: 2}. Give prob of sequence ihg.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 6 - 5 + 0 - 31*v in the form n + b*v and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hho when three letters picked without replacement from {v: 5, h: 6, o: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 - 25*g**2 - 26 + (g + 0 + 0)*(1 - 1 - g) + 0*g + 2*g**2 + 0*g + 4 - 2*g**2 - 4 + g**2 + 5*g**2 - 4*g**2 + 4*g + 1 + 0*g - 2*g**2 + 2*g.\nAnswer: -26*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) 24\/37 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1316 divided by 13.\nAnswer: -1316\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212021 (base 3) to base 14.\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -61.220792.\nAnswer: -63.220792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.98 + 5. Let u = 0.02 - t. Let i = 3.5 - 3. Put u, i, -4 in descending order.\nAnswer: u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10) - (-348)\/(-290). Let l be 2 + -1 - 22\/(-2). Let p = z + l. Solve 4*u - p = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3072*y**3*z + 2*y**2*z - 172*y*z - 308177*z + 8 wrt y?\nAnswer: 9216*y**2*z + 4*y*z - 172*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -160*v - 2260. Determine q(-13).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23997 is divided by 7987?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -892*q + 1670. Give f(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1313*a - 1347*a + 2659*a - 795*a**2 as y + q*a**2 + k*a and give q.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 163*k**2 - 19*k + 6. Let x be q(8). Let v = 4316 - x. Round v to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s**2 - 132012995*s - 36003540 = 0. Calculate s.\nAnswer: -2400236, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -130372782 to the nearest one million.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 6. Let a(u) = -u - 1. Let y(j) = -5*j + 1. Let m(d) = -4*a(d) + y(d). Let r(s) = 6*k(s) + 7*m(s). What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at most -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 4, e: 1}. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814, -1347, -1318, -451, 1530?\nAnswer: 4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -33619*s + 33614*s - 194, -s + 5*v = 22 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 + 9 = -2*k, 3*k = 3*f - 9. Suppose 3*p + 10 = 2*b, -18 = -4*b - 0*b + 5*p. Put 1, b, -4, k in ascending order.\nAnswer: k, -4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*z - 0 - 1, -4*z = -2*p. Suppose -p*x = -5*x + 9. Solve x*k = k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/6)*h\/h**(-5))\/((h*h\/((h*h**(-3)\/h*h*h)\/h*h))\/(h*h**4)) assuming h is positive.\nAnswer: h**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v - 2. Let f be j(-1). Let d = f + 42. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 977457 divided by 325819?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/11*(-1122)\/816)\/((-12)\/(-1552))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604 is divided by 760.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2197 - 19163.9.\nAnswer: -21360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*1095790.\nAnswer: -38352650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a + 2 + 5*a + 4*a. Does 2 divide r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01179 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 551 + -1?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 70 = 13*x. Suppose -2*v - 2*v = 36. What is the remainder when (v + 2)\/(1\/(-4)) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.25 - 39.7. Let g = q + 3.45. Which is the second smallest value? (a) 25 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3796 (base 11) to base 2\nAnswer: -1001101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11310 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**2 + 46*g - 13. Let a(z) = 10*z**2 - 25*z + 6. Give 11*a(p) + 6*j(p).\nAnswer: 2*p**2 + p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -72. Let x be -44*(-78)\/(-9)*u\/(-10). Let b = x - 384. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220290104, -881160421, -1982610950, -3524641691?\nAnswer: -5507252644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:53 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {v: 2, c: 3, u: 2, e: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d**2 - 3*d)*(155 - 155 + 264*d).\nAnswer: -264*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(-3)*1). Solve y*i - 14 - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147*a**3*r**2*t**3 + 20*a**3*r*t + 2*a**3 - r**2*t**3 - 2*r - 2*t**3 wrt r.\nAnswer: -294*a**3*t**3 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyf when four letters picked without replacement from {f: 11, y: 5}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -44, -129, -290, -551, -936, -1469?\n\"Answer: -4*q**3 - 2*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (8 + -13 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2 (c) -0.5 (d) -32.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:02 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948399.\nAnswer: 3, 316133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32032 + 32051. Which is the smallest value? (a) -0.01 (b) h (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -24*i. Let p(s) = 4*s - 4815. What is p(m(j))?\nAnswer: -96*j - 4815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/55417980 and 47\/33618.\nAnswer: 720433740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -8, 5, 54 in decreasing order.\nAnswer: 54, 5, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, 0.16, -2455?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/51934 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307264268.\nAnswer: 2, 23, 311, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tecutcetce. What is prob of picking 2 t, 1 c, and 1 e?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bppbpppppbpp. What is prob of sequence pppb?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11034 and 71594.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -477, -947, -1381, -1779, -2141, -2467?\n\"Answer: 18*h**2 - 524*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258980494.\nAnswer: 2, 31, 20306137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8114874433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589165 divided by 34.\nAnswer: -589165\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/24 + -1\/24. Let w = -3 + 2. Let j be (7\/35)\/(1 - 0). Which is the biggest value? (a) j (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**25)**(-3\/14)\/(k**4)**(16\/9))**(2\/93) assuming k is positive.\nAnswer: k**(-1571\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 2*f + 9509. Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*o - 3. Suppose -2*y + 12 = 3*t, -4*t + 30*y + 16 = 25*y. Let r(c) = 2*c + 5. Let w(z) = 3*z + 6. What is o*w(h) + t*r(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20996 + -32181. What is the units digit of (-6)\/9 - k\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823036 is divided by 286.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*t + 68*t - 8. Suppose 4*x = -4*i + 1596, -4*i - 1232 = -x - t*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let u be (-5)\/10 + 1\/4. Let g = -713\/7260 + -17\/484. What is the nearest to i in u, -4, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1212 + 564 = 0. What is the third derivative of 22*s**3 - 119*s**3 + y*s**2 - 1614*s**2 + 820*s**2 wrt s?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (-2 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96 and -0.1635905141846.\nAnswer: -96.1635905141846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2806 - 2805.93. Sort 2\/3, z, -25 in increasing order.\nAnswer: -25, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 4*c + 89. Let y be b(-7). Let f = 3 + 6. Suppose -5*q = -g - 28, -2*g - f = -3*q + y. Solve n + q = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/8627 and 1\/5.\nAnswer: 43135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -4 + 2\/2. Let k be (-1 + r)*4\/16*2. Suppose p + k*p = 37. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11786 = 25*o - 1207 - 332. Calculate the greatest common divisor of o and 410.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**3 - 15*r**2 + 3*r - 29. Let q(m) = -4*m**3 + 7*m**2 - 2*m + 15. Let f(d) = 7*q(d) + 4*t(d). Is 12 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 636 - 679. Sort -1, t, -3 in increasing order.\nAnswer: t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20974857 is divided by 710.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.188*0.5.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02383686645 rounded to four decimal places?\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 40 + 112)*(-70 - 30 - 1)*(y + 0 + 0).\nAnswer: -2727*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*k + 1116, -k = 2*c + 2*c - 387. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30922, 30924, 30926, 30928, 30930, 30932?\n\"Answer: 2*l + 30920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -37*m**2 - 1998*m + 26. Let w be g(-54). Do w and 113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 32. Let u be l\/(-60)*5\/(-4). Put 1, -1, u in decreasing order.\nAnswer: 1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/120 + 2*j**5\/15 + 85*j**4\/24 + j**3\/6 + 92*j**2. What is the second derivative of o(i) wrt i?\nAnswer: -6*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/5)\/(894\/(-745))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40077360 is divided by 2677.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 7*d**5\/60 - d**4\/3 - d**3\/6 - 5*d**2. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/4, -23, 1\/4, 3, 48 in decreasing order.\nAnswer: 48, 3, 1\/4, -1\/4, -0.4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2712 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*d**5*r**2 + 385*d**2*r**2 - 11*d*r**2 + 27*r**2 + 159*r wrt d.\nAnswer: 1120*d**3*r**2 + 770*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f**5 + 10860*f**4 - 2126128*f**3 + 7778656*f**2 - 5947488*f - 2383936 = 0.\nAnswer: -2\/7, 2, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/28 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 174*v**2 + 670*v + 498.\nAnswer: 2*(v + 1)*(v + 3)*(v + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 25*k + z - 108, -12*z + 88 = k - 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 - -447. Suppose 26*y + 148 = i*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -70. Put f, 1, 5, -1 in ascending order.\nAnswer: f, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 16*k**2 - 12*k + 519. Let s be v(17). Solve -29 = -o + 5*z, 4*o - s = -0*o + 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242353 less than or equal to -242356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(2695)*-1)\/(-2*sqrt(44)\/sqrt(4)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - -32. Let v = d + 153. Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 65 - 4*s**2 - 4*s**2 + s**3.\nAnswer: s**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Let w be z(-6). What is the second derivative of 3*y - 4*y + y**w - 4*y + 4*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11884, -1635, -2\/11 in decreasing order.\nAnswer: 11884, -2\/11, -1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95686064 by -5628592.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/120 + z**5\/60 - 7*z**3\/6 - z**2. Let t(w) = 1. Let p(c) = -2*d(c) - 14*t(c). Find the third derivative of p(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 1\/648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6177, 6169, 6147, 6105, 6037, 5937, 5799?\n\"Answer: -o**3 - o**2 + 2*o + 6177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = 3*t + 1, 3*z = -t + 23. Suppose 0 = -x + 5*w, z*w = -2*x + 2*w. Let g = -19\/22 - -15\/11. Is g greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.846 - 52\nAnswer: -43.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r, 5*z - 1028107 = -592*r + 593*r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/4 (c) 0.3 (d) -13.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 + -330. Calculate the common denominator of 8*4\/(-24) + (-129)\/z and -49\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = q - 22, 4 = q. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttww when four letters picked without replacement from {w: 4, d: 3, t: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 18*w - 912478. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-5)*(-1)\/2. Calculate the remainder when (-348)\/b - 10\/(-35) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 3, t: 1, i: 6, q: 1}. What is prob of picking 2 i?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3780 by 3.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**2))\/(m\/m**(3\/5)*m*m))**43*(m**(-2\/3)*m**(-2\/23))\/((m*m**4)\/(m*m*m**(1\/2))) assuming m is positive.\nAnswer: m**(-14113\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -23\/2*m**4 + 12 + 7*m**2 + 16\/3*m**6 - 2*m - 14\/3*m**3 + 16\/5*m**5. Find t such that r(t) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let j = -106 + 160. Let l = 484\/9 - j. Which is the smallest value? (a) 1\/3 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 181078?\nAnswer: 181102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 174372647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q, -3*s + 4*q + 30 = 0. Let h be 1 + 0 + 0 + -2. Let x be 1 - (h + s)*-1. Solve 5*r + x = 5*p, -r + 2*p = -3*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 + 7*p - 25. Determine k(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 22*k - 6. Give n(-23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87689, 87667, 87631, 87581?\nAnswer: 87517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/15)\/((-4)\/10). Suppose 2*d = -3*d + n*p + 37, -p = -4. 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 -144 (base 5) in base 4?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1340 (base 7) to base 9\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 = -m - 7, -4*d - m - 28 = 0. Let b = d + 14. Is 18 a factor of b*(-34)\/12*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 12*d - 8 = -17*w + 7*w + 6*w - 0, -50*w = 4*d - 200 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:23 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45)\/(-375)*-5)\/(1\/(-551695)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -2*(-6)\/(-4). Suppose r*i + 5*i - 140 = 0. Suppose -5*p + i = -222. What is the greatest common factor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5697 or 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.1 (b) 33.6 (c) 2\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -82025.612848973 and -10?\nAnswer: 82015.612848973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-15\/7)*(y**(3\/10)\/y)\/y assuming y is positive.\nAnswer: y**(-199\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 60. Let y = -10 - t. What is the lowest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-3)\/2 + -1. Suppose -6 = -h + c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 9?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6890960, 6890902, 6890844, 6890786, 6890728, 6890670?\n\"Answer: -58*f + 6891018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 168424967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41139.\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/2357 + -186125\/91923. Let b = 4\/13 - h. Let c = 7094 - 92244\/13. Calculate the common denominator of b and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c**2 + 5*c - 4 = 0.\nAnswer: -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21335154 - 504?\nAnswer: 21334350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 4*x**2 - 7*x**2)*(207 - 102 + 425*x - 105).\nAnswer: -1700*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/132*4)\/(-26*(-74)\/(-23088))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.749 and 6.886.\nAnswer: 5.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/(-51)*15\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 - 1 + 4*d**2 - d**2 + 3. Suppose 7 = -2*p - y - 1, 3*y = p - 10. Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:55 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -17.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -2385?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 56683.69 milligrams?\nAnswer: 56683690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s - 1\/4*s**4 - 4 + 1\/3*s**3 - 1\/2*s**2. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 2*q**2 + q - 1. Let p be h(-1). Is 804 + 6 - (p + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + (-17 + (4 - -11) - (-4 - -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = -4*y - 951, 4*y + 5*z + 947 = 0. Let l = 416 + y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/792*8)\/(7\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 6. Let x(c) = -2*c - 7. Let l(n) = 3*w(n) + 2*x(n). Give l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278277707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27186 > 27301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*n**3 - 354*n**3 - 96*n + 155*n**3.\nAnswer: -n**3 - 96*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (2 - 0)*(-3510)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/11))\/k*k**0*k)\/(k\/(k\/k**(1\/2))*(k**4\/k)\/k) assuming k is positive.\nAnswer: k**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1121\/7 - 160. What is the third biggest value in 1, o, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.448 + -0.033. What is r rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619187151?\nAnswer: 3, 11, 89, 210823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.975 + 0.025. Let b = 28.00000001 - y. Round b to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 23*z**2 - 2*z + 2. Let c(n) be the first derivative of -23*n**3\/3 + 3*n**2\/2 - 3*n - 84. Calculate -2*c(p) - 3*w(p).\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/5 + 12384*o**2\/5 + 4191264*o + 1078721280 = 0. What is o?\nAnswer: -2940, -312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*n - n, -5*u - 29 = -46*n + 49*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -3*y. Suppose 2 = -3*l + 5. Is y*(0 - 3)*l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 304 + 130559?\nAnswer: 130862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221310 (base 4) in base 12?\nAnswer: 3b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 2*a**2 - 1. Let f be m(1). Suppose 0 = -5*v - 3*u + 21, -13 = -0*v - f*v - 2*u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10124 (base 5) to base 12\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -273538 divided by 136769\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 267 + 29 = -x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*i**3 + 167590*i**2 - 4*i + 326931937 wrt i.\nAnswer: 51*i**2 + 335180*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1155)\/(-27) - (-4)\/18. Let g = -31 + l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 96. Let s = m + -28. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 313 = 305. Let v(n) = n**3 - 3*n**2 + 2*n - 2. Let f be v(3). Differentiate l**p + 1 + 5*l**4 + f - 2 wrt l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-359)\/(-21) - (90 + -73). What is the second smallest value in -2\/5, 4\/5, n, -243?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 4 + -7 + (6 + -4 - 31).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 8:33 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + 38300\/6. Let k = 144 + -138. Suppose k*r = y + 271. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 16*g**2 + 6. Let q be z(8). Find the second derivative of 39*h + 2 - h**2 - 13*h**2 - q*h**2 wrt h.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.8 - -11.54. Round r to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (1 - -80) - -1. Let d = 8 - 5. Suppose d*w + 145 = 5*n, 2*n + 4*w - w - x = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-4))\/(6\/(-24)). Suppose -q + 4 = v. Which is the closest to -0.1? (a) -3 (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3300 + 110133?\nAnswer: 120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 16\/5*o**3 + 8\/5*o**2 + 0 - 2*o**4.\nAnswer: -2*o**2*(o + 2)*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 136, 310, 554, 868, 1252?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 288*r**2 + 10 - 3 - 296*r**2 to the form f + b*r + i*r**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.27045 - 8.23. What is y rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80.9 - 81. Which is the closest to -1\/4? (a) 1\/6 (b) u (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 2*l = -9*i - 597, -4*i + 496 = -3*l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(99) + -1) + -3 + 1 + sqrt(99)*2 + sqrt(99) + 0 + -1.\nAnswer: -6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -92. Suppose 2*m - 59 - 231 = -3*i, -i - t*m = -80. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 22. Give b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -228.\nAnswer: -11\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474*m**2*y**4 - 5*m**2*y**3 + 19466*m**2*y**2 - 97*m*y**2 + 670*y**3 wrt y.\nAnswer: -11376*m**2*y - 30*m**2 + 4020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*x - 951, 3*x + 634 = 2*u + 7*x. Let v = -205 + u. What is the highest common divisor of 64 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/15)\/(6\/(-81)*6). Let l be 690\/207 + b*2\/(-27). Factor l*h**2 - 4\/9 - 8\/3*h.\nAnswer: 4*(h - 1)*(7*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -528*d - 3258. List the prime factors of w(-39).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57257501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 3, 67.\nAnswer: 3, 67, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-21))\/(1\/7). Let i be (2\/g)\/(22\/(-396)). Suppose i*u = 9 + 27. Solve -4*d + 2*d + u = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 3*m**2. Let s(o) = 4*o**3 - 2*o**2 + o. Give 2*j(x) - 3*s(x).\nAnswer: -2*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.05 - 8. Let t = k + -0.05. What is the third biggest value in 4, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 108 = -2*r - 3*l, 0 = 3*r + 3*l + 132. Let h be (2\/(-3))\/(16\/r). Let v be 14\/(-28)*6\/(-1). Solve 0 = -v*z - 4 - h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) -15\/16 (c) -639\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -385*y + 391*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48204, -48194, -48184, -48174, -48164, -48154?\nAnswer: -48144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2 - 6. Let z(r) = r**3 - 11*r**v + 0 - r + 4 - 11*r - 1. Let m be z(12). Solve -5 - 1 = m*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45755265 to the power of 1\/2, to the nearest integer?\nAnswer: 6764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-5)*x))**46\/(x**(-2\/31)*(x*x**(-16)\/x)\/x) assuming x is positive.\nAnswer: x**(-9453\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 6*d**2 - 4*d - 5. Let v be w(5). Suppose -1 - 5 = 3*g. Let l be g - (-1 + v)*0. Let c(p) = p**3 + 3*p**2 - 2*p - 3. Calculate c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1826580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 divided by 40?\nAnswer: -393\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c10e25 + 1b?\nAnswer: c10e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -29. Let w(d) = -4*d**2 + h*d - 13*d - 4*d**2 + 7*d**2 - 7*d. Let r be 4*(7\/(-4) - -1). Calculate w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117567567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2907 and -0.29.\nAnswer: -0.084303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -19*m + 285. Calculate p(17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6462, -6465, -6468, -6471, -6474?\nAnswer: -6477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389779?\nAnswer: 3, 7, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 770*l*q - 250*l + 3502*q - 12324 wrt q?\nAnswer: 770*l + 3502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.3617 - -0.4663. Round t to 1 decimal place.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -26. Let y be (2\/8)\/(b\/(-120)). Solve -i - 27 = 5*c - y, c = -4*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1343920, -2687840, -4031760, -5375680, -6719600, -8063520?\nAnswer: -9407440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -1, 68, -0.9, -3\/5, -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113 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: Let u = 8411\/19 + -443. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*-2620\nAnswer: -49780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 1 + 3 - h**5 + (-2*h - 2*h + 2*h)*(-2*h**4 + 0*h + 0*h).\nAnswer: 3*h**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 108 in decreasing order.\nAnswer: 108, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = q - 23, -22 = -w + q + 2*q. Round w to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 48621*p - 875016.\nAnswer: -(p + 18)*(p + 97224)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-30) + 17\/((-1530)\/756). Sort -2, z, -226, 2 in descending order.\nAnswer: 2, -2, z, -226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:27 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5040385 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-150)\/(-45)))\/((-15)\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-16))\/((-12)\/16)*(-58)\/29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -3*a**5\/20 - 2*a**4 - 8*a**3 + 124*a - 73. Let s(z) be the first derivative of k(z). What is h in s(h) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 + 3*g - 4. Suppose 0 = -3*q + 3 + 3. Let l be a(q). Let v(w) = -w**3 - 23*w**2 - 22*w + 9. What are the prime factors of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(22)\/sqrt(2) - ((sqrt(176) + sqrt(176) + -3 - sqrt(176)) + sqrt(176)))**2.\nAnswer: -112*sqrt(11) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 0. Let r = -187.7 + 196. Let j = r + -4.3. Which is the second biggest value? (a) j (b) -2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.944 - 32.134. Let r = w - -0.19. Let q = 26 + r. Which is the closest to -0.1? (a) -0.5 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*n**2\/15 + 64*n\/15 - 8\/5.\nAnswer: -2*(n - 2)*(13*n - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10314)\/3*((-17)\/4 + (-255)\/(-204)).\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 3, -32, -105, -228?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 - 218. Let h be (1071\/84)\/(21\/(-6) + w). Let y = 1 + -4. Are h and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3543440 (base 6) to base 11\nAnswer: 116974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 - -185.41.\nAnswer: -36.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 12 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 15 = -5*l, 17*l - 3 = 16*l - 5*n. Suppose -5*s = 5*p - 30, l*s + 3 = 5*p + 5. Solve o + o = -p*v + 12, -4 = -o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-10))\/((-1815)\/(-275)))\/((-1)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/8 + 2523*j**3\/4 + 222837*j**2\/8 - 2396163*j\/4 + 570555 = 0?\nAnswer: -1636, -62, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150928.5 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(231\/(-18)))\/((3330\/(-252))\/37)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*i - 6643*i**2 - 51*i + 2300*i**2 to the form u*i + a + c*i**2 and give c.\nAnswer: -4343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -933 in -0.5, -8, -5405?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*f = 2*f - 31, -3*f + 21 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 1630\/9?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*z + 0*z = 6, 4*b - 36 = 4*z. Let t(u) = 2 + b*u - 1 + u**2 + 6. Calculate the remainder when t(-5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r**2 + 4*r + 4. Let j(b) = -468*b**2 - 143*b - 143. Calculate -4*j(f) - 143*o(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (5 - 0 - 3). Let p = a + 4. Suppose p + 0 = m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 2, a: 1, l: 1}. Give prob of sequence al.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 - 3)\/((-2)\/6). Let h = -24 - c. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*v + 551*v - 65*v**5 - 203*v**5 wrt v.\nAnswer: -5360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 142994815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**3\/3 + 4*m**2 + 2*m + 1652. What is a(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:53 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llnl when four letters picked without replacement from {n: 9, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 25*j**2 - 2*j - 47. Let y be g(-25). Solve -34 + 37 = y*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16090266 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 191413, 382889, 574365, 765841, 957317, 1148793?\n\"Answer: 191476*d - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69743522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*i = 7*i - 10, 5*y - 104 = 2*i. Solve -y*w = -15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 27*n - 7*n**2 + 6*n**2 - 6*n**2 + n**2.\nAnswer: -6*n**2 + 27*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 3803?\nAnswer: -1521.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*w - 170 - w + 151 wrt w.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 5. Let i(z) = z. Let p(m) = -6*i(m) - 3*x(m). Let n be p(4). Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, r: 9}. What is prob of picking 4 r?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1096.65 and -69.\nAnswer: -75668.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -3.\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r + 77*r - 340*r + 68*r + 81*r + 55*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 3*i + 3. Let r be a(-3). Suppose 5*s - 2*l - 65 = -5*l, 0 = -r*s - 3*l + 33. Suppose -2*p + 6 = -s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10544828.\nAnswer: 2, 7, 17, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 10. Let d be q\/(-5) - 8\/20. Suppose 50 = 4*h - 2*h. What is the highest common factor of d and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:38 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) + 0)*-2)**2 + (1 + sqrt(125) + 2)**2)*-2 + 5.\nAnswer: -1263 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338.68 - -35020491.63.\nAnswer: 35020830.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + 0\/(-5). Solve l*p - 12 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5 - 149*q + 144*q + 1. Let t(x) = x - 1. Let d(v) = f(v) + 6*t(v). Let g(k) = -24*k**2 + 2*k. Determine g(d(n)).\nAnswer: -24*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-57)\/76.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3 - -1) + -6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*n + 2, -3*n - 2*m + 1 = -0*m. Solve n*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(104) - sqrt(104)*-3)*2)\/(((1*sqrt(64) + sqrt(64))\/sqrt(8) - sqrt(8)) + sqrt(128)*-6).\nAnswer: -16*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8491 divided by 87.\nAnswer: 8491\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 49*t**3 + t**2 + 3*t - 3. Let w be i(1). Suppose -2*f + 4*v + 108 = 0, 3*f - 3*v - 109 = w. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84a - -33?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 + 259. What is the closest to m in -5, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-12 + -8 + 4 + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 218, 348, 490?\n\"Answer: 6*y**2 + 100*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a4a (base 12) to base 9.\nAnswer: 6714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 2, d: 2}. What is prob of sequence lb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 365742881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 57*z**2 + 194*z - 2152. What is t(5)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1318\/3 - 445. What is the common denominator of g and -7\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from hwpuuppwuwauuu.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 8 - (-3 - -3). Suppose -3*n - 168 + 183 = 0. Suppose 4 = n*z - z. Is z greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12 = -o. Let t(v) = 4*v**3 - 3*v**2 + v - 3. Is t(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9095\/3 - 554696\/183. Find the common denominator of l and -123\/10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10238*v - 96 = 10222*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -439450 + 439522.6196. Let k = 0.5996 - o. Let j = 73 + k. What is j rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2\/(-6)*-3). Let j be (-10 + (r - -1))*-7. Suppose -w + 3*v + j = 2*w, w = 5*v + 17. What is the lowest common multiple of w and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - w + 11 + 0*w**2 + 4*w**2. Suppose -2*n + 0*n - 11*v = -38, 4*n = v - 16. Calculate the smallest common multiple of 5 and c(n).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5 + 4365*a**4 + 142850*a**3 - 459120*a**2 + 311904*a = 0.\nAnswer: -4332, -36, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-11) - 29\/(4785\/(-30)). Find the third derivative of 3*i**3 + 34*i**a + 129 + 0*i**3 - 3*i**3 - 125 + 11*i**2 wrt i.\nAnswer: 816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n + 13. What is the greatest common factor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -3*x**5\/20 + 2*x**3\/3 + 3*x**2\/2 + 1562*x. Determine d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 3. Let u = d - -8. Solve i + u*i = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-45) + 42760\/(-75). List the prime factors of 15\/13 + -1 + v\/(-13).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g**3 + 0*g**4 + 0*g + 11*g**2 + 0*g**6 + 0 - 1\/12*g**5 - 11\/336*g**8 + 0*g**7. Find the third derivative of k(y) wrt y.\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/6 + 19*s**4\/3 + 7*s**3\/6 - 3665*s**2\/3 + 9050*s\/3 + 32500\/3 = 0.\nAnswer: -26, -25, -2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - 48*y + 20567 + 22842 = 0. Calculate the remainder when y is divided by 520.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 4*c - 4*g, -123 = -5*c - 153*g + 154*g for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 4*b**5\/5 - 11*b**4 - 56*b**3 - 8*b**2 + 224*b - 239. Let z(y) = 0. Calculate y.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -g + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5746272 by 119714.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.823 and 1.\nAnswer: 0.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 + 14 - 5 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 353\/15 in -0.3, 1\/3, 0.5, -5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x + 1 + (0 + 1 + 1)*(-14*x + 5*x - 6*x))*(-x + 0*x + 0*x) - 2*x**2 + x**2 + 7*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -648*v**2 + 17*v + 28. Let u be r(-3). Round u to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*v - 267 = 0, 0 = -4*v - 4. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 + ((-16)\/1)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*k = 132*k + 135. Is k at most as big as -89\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73466.\nAnswer: 2, 109, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3307178cm to meters.\nAnswer: 0.003307178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.7, -4, -13, 6, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2040)\/(-476))\/(24\/(-21)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b2a + -5?\nAnswer: 1b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/1080 - i**5\/270 + i**4\/216 - 15*i**2. Let y(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (373184\/1813)\/(-34) + (4 - 2\/(-1))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.038, 0 in decreasing order.\nAnswer: 0.2, 0.038, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2610.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o = 174*o + 83*o - 9076 - 8144 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkz when three letters picked without replacement from lkkzzkzzkll?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 78190442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((1\/2)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7775 (base 9) to base 8\nAnswer: 13152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 338*n**2 - 16388*n - 208. Give s(-43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**4 - 3*i**4 + (5*i**3 - 4*i**3 - 3*i**3 + (2*i - 5*i + 4*i)*(i**2 - 6*i**2 + 3*i**2))*(-18*i - 11*i + 28*i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1585, 1705, 1795, 1849, 1861, 1825?\n\"Answer: -b**3 - 9*b**2 + 154*b + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3804923.5 and -3?\nAnswer: 11414770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.61 + -0.61. Let y = -14.45 + 14. Let k = 0.05 - y. Which is the third smallest value? (a) k (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1513 less than or equal to -1513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 265 - 57*s - 265 + (0 - 1 + 2)*(-6*s + s + 15 + 3*s).\nAnswer: -59*s + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-3)*r*r\/(r\/(r\/(((r*r\/(r\/(r*r**(2\/11)*r))*r)\/r)\/r))*r)*(r**(-2\/5))**(-5\/7))**(-1) assuming r is positive.\nAnswer: r**(-316\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x + 3. Let l(a) = -a. Let z(q) = h(q) - 5*l(q). Let w be z(3). Is (14\/(-4))\/(2\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/17 - 100\/(-850)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/360 - 17*u**5\/180 - 7*u**4\/36 + 16*u**3\/9 - 46*u**2 + 6*u. Factor z(d).\nAnswer: -(d - 1)*(d + 2)*(d + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/18522*-49 + 374\/18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 2*k**2 + 8*k - 7. Let m be q(-5). What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.33 + 6.03. Sort -0.112, q, 1\/4 in increasing order.\nAnswer: q, -0.112, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3383264*s**6 + 1511429*s**2 wrt s?\nAnswer: 405991680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, 771, 1870?\nAnswer: 2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - 6) - 8 - (-33 + 26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 16*j**2 + 31*j - 38. Let i(x) = 3*x**3 - 4*x**2 - 52*x - 1. Let l be i(5). Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.8218364 weeks?\nAnswer: 138.0685152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83\/231 + 5\/21. Calculate the common denominator of 1\/(63\/129) + -2 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = -5*n, 1 = -3*n - x - 2. Let h = 3 - n. Solve -k = -h*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12859 and -12872 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 + 26 = -2*c, 0 = -2*b + 10. Let v be (-9)\/(-18) - (-15)\/c. Let n = 14.8963 - -0.1037. What is the third biggest value in n, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y. Let v(p) be the second derivative of 3*p**3\/2 - 3*p - 3. What is m(v(z))?\nAnswer: -117*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 8, w: 7, m: 1}. Give prob of sequence wpxx.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.66 < -6529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -269*80.126\nAnswer: -21553.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -19*b + 32. Solve -5*k = 3*q + 25, -b*q - 2*k + 1 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, b: 8}. Give prob of sequence bb.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 257006630 and -0.5.\nAnswer: 257006629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 5*f + 967, 0 = y - 5*f - 223. Let o = y - -77. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778788 to the power of 1\/2, to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448440 and 21816?\nAnswer: 4035960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-7))\/(4\/14). Suppose 5*f + 30 = o*f. What is the tens digit of 56\/2*f\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 15*u - 57. Let m be v(-13). Let z = -171 - m. Solve 0 = z*i - 27*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2.09628?\nAnswer: 10.4814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*l**6*t + 89029*l**6 - 5*l**2*t + 4*l**2 + 15*l*t - 3*t + 3 wrt l.\nAnswer: -1800*l**3*t + 10683480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10424052 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3127158 (base 10) to base 4\nAnswer: 23323131312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2803b + 12?\nAnswer: 28051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 42 + -152 + (-6 - (-4 + 5))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48420 and 270.\nAnswer: 145260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17986537 - -18346265861\/1020. Let f = j - 47\/68. Calculate the common denominator of (-5)\/(-75)*(-1 - 0) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*g + 6*g, 0 = 3*b + 4*g - 17. Sort -8, b, -70 in ascending order.\nAnswer: -70, -8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 17*p + 46*f + 454 = 0, 2*p + 44 = -18*f + 9*f + 5*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2512 + 1260 = 23*i + 529. What is the remainder when 439 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 13 = -3*b + 7*f, 4*b + 44 = -24*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-48)\/10)\/(1\/(-5)). Suppose -s = 1815 - 1827, -s = 5*p - 332. What is the highest common factor of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26419 and -1772.\nAnswer: 46814468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + 21 = 3*s, 7 = -2*s - 5*o. Calculate the remainder when 21 is divided by -16*s\/((-16)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*n**(-9)*n)\/(n**(-2\/3))**(-1\/5) assuming n is positive.\nAnswer: n**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6713*m - 114413. Give x(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -0.01?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5565 divide 1630352728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-12))\/(2\/(-18)). Let d = 7 + a. Calculate the lowest common multiple of d and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:02 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3 - b**3 - 257*b + 5*b**3 + 441 + 51*b**2 - 16*b.\nAnswer: -3*(b - 7)**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 24. Let n(v) = -v**3 + 9*v**2 - 12*v - 2. Suppose 0 = 15*b - 2*b - 52. Let s be n(b). Calculate the greatest common factor of t and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3518 and -20\/58047.\nAnswer: 116094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4773*c + 1139*c + 1 - 2688*c to the form l + w*c and give w.\nAnswer: -6322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 13. Suppose 5*y - 5*d = 3 - 38, 0 = -2*y - 3*d - 24. Let t be v(y). Factor 4*n**4 - t*n**2 + 12*n**3 - 5*n**2 + 3*n**2 + 15*n**2.\nAnswer: 4*n**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w + 1. Give j(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dllzfkzh. Give prob of sequence lfh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*y + 3 = 0, 5*y + 1 - 19 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2307105 and 2295.\nAnswer: 117662355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)*(-3 + (226 - 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 151*z - 302. Is j(30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1068942\nAnswer: -5\/1068942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = m. Let k = 0 - m. Suppose -4*q = -k - 29. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0. Let z be (-1)\/(-3) + (-16)\/21. Let j be (-8 + 14 - 8) + 0. What is the second smallest value in j, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*b + 7 = -0*j, -j - 1 = 2*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/17)\/s*s*s**(-13\/5) assuming s is positive.\nAnswer: s**(-211\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n - 42. Let s be q(4). Let 4\/7*h + 0 - 2\/7*h**s = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001000110 (base 2) in base 9?\nAnswer: -10203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3169839 to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15180 = 2*s. Let t = s - 22843\/6. What is the common denominator of 63\/10 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294021 by 14001.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -0*m, 0 = 3*i + 5*m - 2555. Suppose -i - 802 = -4*l. List the prime factors of l.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6 + 5*q + 2*q - 1 - 2*q**2 + q**2. Let f be d(5). What is the derivative of -2*t + 3 + 8*t - f*t wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/370 and 7\/3678540.\nAnswer: 3678540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 6*i - 2. Let z be o(5). Suppose 4*m = z*d - 8, -d + 5 = -0*d + m. Suppose 0 = -4*g - 0*g + d*q + 300, -16 = 4*q. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/3 - 124*c**4\/3 + 362*c**3 + 93248*c**2\/3 - 1131008*c\/3.\nAnswer: -2*c*(c - 16)**2*(c + 47)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92 + 92 - 1487*j - 480*j - 341*j)*(-9*j - 7 + 7) to u*j**2 + p*j + q and give u.\nAnswer: 20772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*6)\/(sqrt(18)\/(sqrt(54)\/sqrt(6))).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24564 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8077\/420 + -2\/105. Suppose 3*t = 2*n - 101, -4*t + 12 = -0*t. Let u = -611\/12 + n. Find the common denominator of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + 8*r**2 - 73*r**2.\nAnswer: -65*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/5, -97\/2, -3\/2 in descending order.\nAnswer: -4\/5, -3\/2, -5, -97\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8784*w + 8782*w + 8782*w - 8*w**3 + 510 - 26349*w - 118*w**2 wrt w?\nAnswer: -24*w**2 - 236*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 1 - (0 - 0)) + 10 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/70 and -103\/12915.\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - 1) + (-13 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + -1 + (67 + -19 - -14)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*p + 2*p + 8, -4*v + 16 = -4*p. What is the first derivative of -5 - 29*t + v - 5 + 249*t - 17 wrt t?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 1182, 1772, 2362, 2952?\nAnswer: 3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/4 + 25*y**3\/3 - 23*y**2\/2 - 30*y + 1809. What is a(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/10 - (-13)\/((-520)\/(-6404)). Let y(f) = -f**3 - 8*f**2 - 15*f + 5. Let j be y(-5). Calculate the highest common divisor of j and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 52.71. Let n = w + -1.29. Which is the closest to n? (a) 4 (b) 2\/35 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000405580947 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21))**(-3\/5) assuming f is positive.\nAnswer: f**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.148 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 - 284?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*j - 5*m, 5*m - 23 - 7 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037273 rounded to five decimal places?\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 10*o**3 + 19\/6*o**4 - 1\/6*o**5 + 0 + 0*o**2.\nAnswer: -o**3*(o - 15)*(o - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 743 - 738.37. Let c = y + -4.13. What is the smallest value in -0.5, 2\/7, -4\/5, c?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 100, -62, -0.2, 2, -1, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.7. Let h = -2.6 - -3. Let u = h + x. Which is the third smallest value? (a) u (b) 2\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17991.512 and -257.\nAnswer: 17734.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -5*c, 5*s + 20 = 5*c - 7*c. Let h = 1 + -0.8. Suppose 37 - 34 = -3*f. What is the nearest to c in h, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -23 + -23 - (2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 n when three letters picked without replacement from {y: 1, f: 6, s: 4, n: 1, d: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2208\nAnswer: 1\/736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1601214 and -1601229 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = 3*n - 43, 0 = -4*n + 3*l + 79. Let v(m) = -118*m + 2026. Let j be v(17). Let q = j - n. Solve k - 3 - q = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 5.\nAnswer: -243\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10 = 0, 3*k = 4*c - 0*k - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:15 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in -3, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 9*s - 9. Let f be d(-7). Suppose 291 - f = -4*u. Let r = u - -75. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - 41) + 6 + -27.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-1)\/((-8)\/(-152)). Suppose -188 = -4*z + 8*z. Let x = q - z. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8776831cm in millimeters?\nAnswer: 8.776831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 6*w + w - 35 = 0, 3*r + 5*w = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 21*i**2 - 22*i + 44. Let a be (-12)\/20 + 26\/10 - -18. Let k be j(a). Suppose -k*m - c + 48 = c, -2*m + c + 24 = 0. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 2*(-11 + 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-820)\/(-287) + (-1 + 4)*(-1)\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x + 4*u + 204 = 0, 19*x - 43*x + 22*x - 2*u + 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (315\/70)\/(((-10)\/33068)\/(-5)). Suppose -21*r = -12*r - o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 46, -3\/8, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/178677 and 38\/59559.\nAnswer: 178677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.810317404 rounded to two dps?\nAnswer: -3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990808.\nAnswer: 2, 7, 13, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5622, 22513, 50672, 90099, 140794, 202757?\nAnswer: 275988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118439 is divided by 16911.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1011\/(-4))\/((-1)\/180). Suppose 6*g + 5*c + b = g, -2*g = 4*c + 18196. Round g to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*v)*(0*v**2 + 0*v**2 + v**2)*(522*v + 965*v - 255*v).\nAnswer: -2464*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/3 + 53000*z\/3 - 4980894 = 0.\nAnswer: -26779, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/18360 and -53\/42564.\nAnswer: 65122920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3 = 3*p. Let c = p + -1. Let v = -5.67 - -5.57. What is the third biggest value in 0, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 14*p - 1375. Calculate the highest common divisor of p and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 19*q**2 + 1\/18*q**5 + 0 - 25\/36*q**4 - 1\/540*q**6 + 125\/27*q**3 + 0*q. Factor b(i).\nAnswer: -2*(i - 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 871941748 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3675 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*l + 0*l = 6, 15 = 5*p + l. Which is the third biggest value? (a) 0 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus -0.175?\nAnswer: -20.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -144739099.18+0.3\nAnswer: -144739098.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 4*i + 19. Let c be x(9). Let j(y) = y - 3. Let g be j(5). Suppose 0 = w - g*w + 8. What is the greatest common factor of w and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 239, -2.\nAnswer: -2, 1, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 26*v + 19 + 30 - 24*v to k + z*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/150*6\/(-32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -21*w + 302*w + 27*w + 123*w - 6*w. Let b(a) = a**2. Give f(b(d)).\nAnswer: 425*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -2)*(3 + -2). Suppose 2*v = -2*x, 5*v + 0*x = r*x - 27. Put 3, v, 0 in ascending order.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -22*h**2 + 78*h. Let d(z) = 2*z**2 - 7*z. Let y be -1*1*(-84)\/14. Let i(s) = y*l(s) + 68*d(s). What is the second derivative of i(a) wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 116 = -26. Solve 0 = y*a - 41 - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3*h**3 - 10*h**3)*(0 - 1 + 2)*(-4 + 2 + 0).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 - -26. Let a be 3\/(-12) - x\/8. Suppose -2*d + a = -d. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165991 by 1031.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 244061, 244079, 244131, 244235, 244409?\n\"Answer: 3*y**3 - y**2 + 244059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9537 - -9605. Calculate the greatest common factor of 68 and x.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 107. What is the smallest common multiple of 22 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-6 - -4) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*c + 26. Let l = -14 - c. Let v = 7 - l. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 11*c**2 - 2*c + 16. Calculate l(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 + 156*n**2 + 176*n - 123. Let h be s(-30). Let k(b) = 51*b + 6. Give k(h).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93918628.2 rounded to the nearest ten thousand?\nAnswer: 93920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 170. Let k be m + (2\/8 - (-12)\/16). Solve k*y - 10 = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*i + 253 - 83, -149 = -i - 42*n + 46*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -w - 633 - 8040, -3*w = 3*v - 6501. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 1*(-2 + 3 + -3). Suppose 4*r + j*t - 1831 - 3019 = 0, 4*r = 3*t + 4838. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -14, 2\/61, 4\/5, -2, -292?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233055 - -5200?\nAnswer: 242255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11000010000 (base 2) to base 10\nAnswer: -1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 2*y - 1. Let o(s) = -60 + 56 + 15*s + 125*s**2 + 105*s + 47*s. Let c(l) = o(l) - 4*t(l). What is the second derivative of c(b) wrt b?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 - 59\/120*w**6 + 58\/3*w**3 + 0*w + 233*w**2 + 0*w**4 - 1\/20*w**5. Differentiate a(h) wrt h.\nAnswer: -177*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 15, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7590962, -15181929, -22772894, -30363857?\nAnswer: -37954818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xde when three letters picked without replacement from eeeeefdqfxfqxefff.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 9414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*j - r, -3*r = -0*j - 4*j + 60. Suppose -2*v + 360 - 45 = -l, -j = 5*l. Suppose 13*o = 15*o - v. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + 2.08. Let r = t - -1.2. Let g = -3.5 + r. What is the second smallest value in g, -2\/25, 0?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 365113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865 + 1055 - 1210*l - l**2 + 1210*l - 2313.\nAnswer: -l**2 - 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 132\/42)*(-10)\/((-180)\/(-441)). Solve 0 = -2*f - 3*a + o, 4*f = -3*a - 35 + 56 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x)*(0*x + 5*x**2 + 3021 - 3015 + 2*x).\nAnswer: -5*x**3 - 2*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anwwannnwaanznwnsanw. Give prob of sequence znaw.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8367.067 millennia in months?\nAnswer: 100404804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/5 - 11048*w**4\/5 + 99312*w**3\/5 - 231668*w**2\/5 + 209582*w\/5 - 13236 = 0 for w.\nAnswer: 1, 6, 5515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:14 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -16*k**6\/27 + 112*k**5\/45 - 73*k**4\/18 + 86*k**3\/27 - 11*k**2\/9 + 2*k\/9 - 43. Factor a(y).\nAnswer: -2*(y - 1)**3*(4*y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 203, -0.5, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16932 + 2*q**3 + 16932.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a + 1. Let x(w) = 2*w**2. What is -2*r(c) + x(c)?\nAnswer: 4*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-120))\/(2\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 7*u + 8. Let r be (-6)\/(-15) + (-4)\/10. Let p(b) = -b**2 + b + 6. Let z be p(r). Let v be j(z). Solve v*m - 20 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 7 - 6 + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(1\/6). Find w, given that 0*w**3 + w**f + 2*w - 3*w**2 - 2 + w**4 - 7*w + 0 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/28600 and -19\/96?\nAnswer: 343200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) - (514\/(-5) + -2). Let d = o - 81. Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2593.59 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2846, 8169, 16084, 26591, 39690, 55381, 73664?\nAnswer: 94539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*1*(-1)\/4*2. Let m(c) = 2*c - 5. Let a be m(4). Solve -a*q = -4*q + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 - 1. Let o be (2\/1 - 4) + 3. Let v(u) = 2*u**3 - 8*u**2 - 3*u - 3. Let d(x) = o*v(x) + 3*j(x). Give d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*72\/128. Suppose -2*d + 7 = -3*x, 4*d = 6*d + 3*x + 23. Let l = -5 - d. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 487 and 3545.\nAnswer: 1726415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24694 + 3016?\nAnswer: -21678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + -3?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504035?\nAnswer: 5, 313, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 717989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4242, -4244, -4248, -4254, -4262, -4272, -4284?\n\"Answer: -i**2 + i - 4242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95513910 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 41, 2 in decreasing order.\nAnswer: 41, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5379228 by -5379228.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 8. Let n be (2 + -1)\/((-2)\/14). Let u be f(n). Let h = u + 0. What is the greatest common divisor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120122111 (base 3) to base 4.\nAnswer: -2302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-270)\/(-80))\/9)\/((-496)\/72 + 7).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u - 7. Let f(s) = 46 + 49 - 5*s - 182 + 46 + 44. Calculate 7*f(h) + 3*r(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyd when three letters picked without replacement from {j: 1, g: 6, d: 2, y: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/3642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 + -575. Let t = 741 + w. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Suppose 0 = g - 5*b - 11, 0*g - 5*g - 4*b - 32 = 0. What is the nearest to -2\/5 in h, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 4:54 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:27 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:19 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/496 and -145\/744.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 870281 divided by 17?\nAnswer: 51193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**3 + q**2 + 3*q - 1. Let m = 20 - 18. List the prime factors of n(m).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose -3*t + 2 = -3*i - m, 5*i + 6 = 3*t. Let g be t*4\/(-6) - -1. What is the biggest value in g, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 16*x - 17*x - 1, 4*x = -4*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*m - 127000, 2*c + 180188 = 5*m + 21461. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 102535 (c) 1.3 (d) -5 (e) -2\/7 (f) 3 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 5, t: 2}. Give prob of sequence tu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-6)*(-3)\/12)\/((-1)\/16). Solve b = 2*x - 6 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-6)*2440\/5124?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94662 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 268 = -4*b, -3*b - 2*d + 3*d + 206 = 0. Suppose 6*v = -v + b. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -299*q**3 - 3*q**2 - 127*q + 56. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -76. What is the remainder when 115 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.542498 - -4.547. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 214*d - 2 + 292*d + 0.\nAnswer: 506*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 14) to base 16.\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*o - 3*h - 1, -3*o + h + 1 = 0. Let c be (0\/(-4))\/(o - 1). Suppose g + c*g - 7 = 0. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3)\/q)**(2\/25)*q**9\/((q**(-9)*q)\/q*q) assuming q is positive.\nAnswer: q**(419\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301*g**3*j*u + 5*g**3*u**3 - 121*g*j**2*u**3 - 2*g*j**2*u**2 - 2*g*j*u**2 wrt u.\nAnswer: 30*g**3 - 726*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000069126 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, v: 5}. What is prob of sequence vev?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 - 21*h. Is 20 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 + 2*s**2 + 5*s**2 - 3*s**2 + 0*s - 2*s. Suppose f = 4*f + 3, -13 = -5*h + 3*f. What is the units digit of l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4)*(-96)\/8. Let r = 82 + i. Solve -5 = -3*f + 5*c, -2*c - r = 4*f + 3*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -321 and -48.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 19*p - 84 = 0. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + y**2 + 2*y - 1. Let j(a) = -a**3 + a**2 - 1. Let l(c) = -j(c) - t(c). Determine l(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from slssssslslsssl?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -42480.7.\nAnswer: 42471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 3*x**2 - x**2 + 2*x**2. Let z(d) = -d**2 + d. Give -q(k) + 2*z(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(-3) + 210\/90. Calculate the common denominator of 0 - (-177)\/10*h\/(-156) and 67\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*(1 - -2). Suppose -3*f + n*x + 5 = 2*f, 2 = 2*f - 2*x. Let c be -1*(1 - 4\/6). Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 134*k = 61*k - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*-1*((-2898)\/1610)\/(12\/(-760)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 11*w**2 + 98*w - 858. Determine i(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 - k**2 + 32*k - 3*k**3 - 9 - 33*k to q + b*k**2 + c*k**3 + w*k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, n: 1, b: 1, c: 2, k: 1}. Give prob of sequence kcb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3657 - 19de?\nAnswer: 1c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11394.9 millilitres to litres.\nAnswer: 11.3949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15914 = -5*j + 10651. Let c(q) = -q**2 + 3. What is the common denominator of c(3) and (-2)\/23 + 13020\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -49. Suppose -2*a + 0*a - 3*m + 11 = 0, a = -5*m + w. Let h be (-156)\/33 - (a + -2). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1)*240\/(-2016))\/(-1 + (12 - 6)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273 + 189. Suppose -82*h = -88*h + a. What is the smallest common multiple of h and 91?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 1 - 1)*(b - b + 13*b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -0*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) 0.36 (b) 0.3 (c) 14\/9 (d) 0.2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(3) - sqrt(27)) + (sqrt(243)*1 - sqrt(243)) + -3 + sqrt(12) + -3 + 5)**2.\nAnswer: 80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33169 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + q + 2 + (-8 - 9 + 39)*(6 - 6 - 4*q) to the form o + b*q and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-14 - -49 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**3 - 3*s**2 - 4*s - 4. Let u be 89 + -4*(-1)\/(-4). Let w = -92 + u. Let t(m) = m**3 - m**2 - m. Give w*t(j) + o(j).\nAnswer: 2*j**3 + j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011155 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 19. Let m(p) = 4*p + 11. Let k(v) = -7*m(v) - 4*t(v). Let n(h) be the first derivative of -21*h**2\/2 - 6*h + 1. Determine 11*k(d) - 2*n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011010 (base 3) to base 9.\nAnswer: -4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/45)\/(-4)*(-10)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.37 - -0.03. Which is the second biggest value? (a) 0 (b) 4 (c) i (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(105)\/sqrt(3))\/sqrt(7).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 - 2*b**3\/3 - b**2 + 5*b - 9. Let u be f(3). Let x(i) = -i + 7. Determine x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2636 = -4*w + y, -4*y = -4*w + 2620. What is the remainder when w is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 1\/15 (c) 10 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/(3\/9). Let y = 0 + 3. Suppose -y*u + 16 = u. Solve i + 0 = u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 3564?\nAnswer: -3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = h - 62, 2*t + 2*t = h + 118. Let p be 1\/(-6) + 16500005\/t. Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38019 is divided by 176.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g + g**2 + 0*g + 2*g**2 - 5*g**2 - 86 + 87 to the form k*g**2 + m*g + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837283239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 9*w - 20. Solve -c = -4*b, -3*b + 11 = -w*c + 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*r + 437. Suppose -4*n = 2*s - r - 36, 207 = 5*n + 2*s. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 96*w**2 + 106*w + 114. What is the thousands digit of z(-101)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6954333746?\nAnswer: 2, 277, 12552949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287.95 + -287.99. Which is the second smallest value? (a) y (b) 0.4 (c) -4 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(832))*-4 + 2)*-2*-4 + 0 + -4.\nAnswer: -256*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - v - 45 = 4*q, -18*q - 162 = 19*v - 16*v for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.175 + 7.182. Let t = o + -4. Round t to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 1 + 0 + 3 - 6. Calculate l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z - 392 = -75*z - 180*z. Let f(x) = -11*x**2 - x + 4. Calculate f(z).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2 - 4*r + 4. Let j(h) = -10*h**2 - 7*h + 9. Let l(w) = 41*w**2 + 27*w - 36. Let u(y) = 9*j(y) + 2*l(y). Calculate -9*d(g) + 4*u(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4295692 divided by -2372?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/7, 2, -2, -16\/495 in ascending order.\nAnswer: -2, -16\/495, 0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69390, 69401, 69414, 69429?\nAnswer: 69446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38456945, 38456947, 38456949, 38456951, 38456953, 38456955?\nAnswer: 38456957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5687, -5695, -5707, -5723, -5743?\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -10\/3*j**3 + 3\/2*j**2 - 41 - 14*j. Find the second derivative of p(y) wrt y.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 24.2. Which is the third biggest value? (a) 1 (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 22815.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/276 and -151\/846?\nAnswer: 38916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2299)*4 + sqrt(2299) - ((sqrt(2299)*4 - sqrt(2299) - sqrt(2299)) + -3)) + (sqrt(171) - (4 + sqrt(171)*-1 + sqrt(171))) + -4 + 3)**2.\nAnswer: 736*sqrt(19) + 643268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7844 + -7841. Let j(b) = 3*b**2 - 11. What is j(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 302367001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 29*q**3 - 384*q**2 - 387*q**2 + 770*q**2. Let y = -3 + 2. Determine t(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + 3*o**2 - 6*o + 1. Let n(h) = 21*h**3 - 8*h**2 + 18*h - 3. Calculate -8*m(d) - 3*n(d).\nAnswer: -15*d**3 - 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-1 + 235\/10). Let r = -21 - p. Let u be (-813)\/(-18) + r\/(-6). Calculate the highest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9877078.\nAnswer: 2, 4938539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 55546*b\/5 - 2612871\/5.\nAnswer: (b - 47)*(b + 55593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 20*o - 17*o + 6333, -o + 3825 = 3*b. What is the highest common divisor of b and 4293?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055017 rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1454 + 1?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 46*f - 4. Let a(b) be the first derivative of b**2\/2 + b - 6731. Determine -4*a(z) - u(z).\nAnswer: -2*z**2 + 42*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/64)\/(((-6)\/21)\/((-572)\/(-91)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*f**2*l**2 + 64250*f**2*l + f**2 - 1216*f*l**2 + 2*f*l + 20*f + 2 wrt f?\nAnswer: -76*l**2 + 128500*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2859 and 108600068?\nAnswer: 325800204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:31 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9395*k - 136*k**3 - 9395*k)*(-4 + 4 + 2) to the form h*k**3 + g*k**2 + a*k + m and give h.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49\/200 - 279539\/2200. Let h = l + 127. Is 0.5 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1260 - -1260. Let c(t) be the first derivative of 0*t**4 - t**2 + 0*t**3 + j*t**5 - 1\/3*t**6 + 0*t - 3. Find the second derivative of c(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, o: 9, q: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164.3 + 166.3. What is the closest to -2 in 2\/3, -5, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 58\/5. What is the greatest common factor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3355.2 - 20?\nAnswer: 3335.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861*v - 873*v - 264 = 0. Sort v, 2, -3 in ascending order.\nAnswer: v, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Suppose -5*p - 10 = -s*p. Which is bigger: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 7593020?\nAnswer: 91116240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyp when four letters picked without replacement from {p: 17, y: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:35 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21069934.\nAnswer: 2, 2269, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.5721 - 6.0721. Suppose 29 - 9 = 5*f. Let v be (-20)\/(-195)*(-6)\/f. Which is the third smallest value? (a) v (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -199c3a + -355?\nAnswer: -19a292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 26. Which is the nearest to -3? (a) -1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.7 (b) 9 (c) 1\/6 (d) 5 (e) -0.09 (f) 0.58 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 721103050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 150?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213659928 and 11952?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254991964.\nAnswer: 2, 349, 182659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7)\/s)\/s)**(-7\/4)\/((s\/(s\/(s*s**(-6))))\/s**(2\/5)) assuming s is positive.\nAnswer: s**(153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, o: 2, i: 6}. What is prob of sequence iiki?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -5, -2, 2 in increasing order.\nAnswer: -152, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 76*a + 333. Let r be y(-5). Let x = -89 - -31. Let w = r - x. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/5 - 45868*d**3\/5 - 596137*d**2\/5 - 201762*d = 0. Calculate d.\nAnswer: -45855, -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860774 is divided by 193?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2*t + 121 - 61.\nAnswer: -2*t + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6537 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-6)\/((-12)\/10)*-1. What is the second derivative of 8*t**3 - 17 - t**5 + 13*t**r - 20*t**3 + 66*t**5 - 3*t wrt t?\nAnswer: 1300*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46482*l**5 - 5*l**2 - 3*l + 3623?\nAnswer: 929640*l**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/5)\/(-6)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904 + 1001 = -131*o + 4*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a**3 - 36*a**2 - 236*a + 12. Let d be r(-6). Calculate the greatest common divisor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060992 to 4 dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*a + 3 = 0, 2*c - a = 1 + 4. Suppose -o = -2*w + 14, -2*w + 1 = -w + o. Solve -w*u - 4 = 4*f, 0*f = -2*f - 5*u - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 127 = -5*k. Calculate the common denominator of ((-12)\/16)\/k - 15\/69 and 13\/10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284932 divided by -6?\nAnswer: 142466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19378 - 19110 = 67*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833, 832, 827, 818?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r**4 + r**3 + 16*r - 20*r**4 - 5*r + 0 + 0 + 8*r**2 to d*r**2 + a*r**3 + y*r + v + t*r**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etke when four letters picked without replacement from zeeeteeeekzzvzke.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-261)\/(-6) - (-8)\/16. Calculate the remainder when 144 is divided by -1*(-6)\/(30\/(-5)) + l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 120*z - 1595. Calculate a(-16).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10071645, -20143292, -30214939, -40286586?\n\"Answer: -10071647*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -19. Let i be -1 + 3\/9 - -1. Solve v**2 - i*v**3 + 1\/3*v - 2\/3 - 1\/3*v**h = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 130. Let m = j + -2. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 21*l**2 + 11*l - 13. Let n be x(6). Let m = -69 - n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5104 and 11664032?\nAnswer: 128304352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**2 + 19 - 34*h**2 + 18*h**2 to w + z*h**2 + i*h and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:01 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/382 in -317, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -13.6. Let i = -0.5 + n. Let x = -1.3 - i. Which is the third smallest value? (a) x (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5617 (base 12) to base 8.\nAnswer: 22463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1295 and 65?\nAnswer: 16835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(56)\/(sqrt(2) + sqrt(4)\/sqrt(2)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 62. Let y(r) = r - 5. Let f(x) = -1. Let z(c) = 3*f(c) - y(c). Determine z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1180\/349897 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300.6 + -300.7. Which is the nearest to 8? (a) 3 (b) 0.2 (c) r (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 6*y**2 + 6*y + 1. What is z(4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13701*x**5 + 11183*x**2?\nAnswer: -822060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -19, 15, 71, 155, 273, 431?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2062810596 and 834.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1605528 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 247*u**3 + 109*u**3 + 2 + 0*u**4 - u**4 + 2 + 134*u**3 + 4*u**2 to the form r + h*u + p*u**3 + t*u**4 + s*u**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 2088492410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8586\/2837, -0.4, -4\/5 in increasing order.\nAnswer: -8586\/2837, -4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.5 - -7. Let z = k - -4. Let o be 50\/225 - 25\/45. Which is the nearest to 6? (a) z (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1132 by -2.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -243. Suppose -10*u = -9*u - 1316. Suppose 5*o = -y*n + u, 0*o + 3*n = -3*o + 795. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9179 + -9179. Which is the nearest to 3? (a) 4 (b) -5 (c) r (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - 4*l - 6. Let o be r(-4). Let k = 10 - o. What is the first derivative of 2*j - 2 + 5 + j + k*j wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*c = 7228 - 2821 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1450 = 2*k - 3918, 4*k - 4 = 0. What is the smallest common multiple of 60 and h?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.2, 1354, -0.4, 4 in decreasing order.\nAnswer: 1354, 4, -0.2, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -727, -983, -1115, -1081?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5798 divided by -129.\nAnswer: -5798\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/109 - -207\/1199. Let k = -35 - -35. What is the second smallest value in k, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.7. Let u be 4\/(-4) + 10\/12. Let f = 14\/527 - -1511\/2635. Which is the closest to -3? (a) f (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d8d (base 15) to base 12\nAnswer: 115a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/14*(-224)\/(-98).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:53 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*y - 3*c, 2*y - 40*c = -39*c + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006446 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1, 6, -10, -3, 9 in descending order.\nAnswer: 60, 9, 6, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - -2784a6?\nAnswer: 278543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*s**4 + 5*s**4 - 9*s**4 + 305*s - s**4 - 12*s**3 - 2 + 6*s**4 wrt s?\nAnswer: 12*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134031453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200 or 151681?\nAnswer: 151681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197230959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82105637 to the power of 1\/2, to the nearest integer?\nAnswer: 9061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -288448, -288421, -288262, -287905, -287284, -286333?\n\"Answer: 11*i**3 - 50*i - 288409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1547)\/85)\/(217\/465)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 584 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from {n: 1, k: 4, e: 1, s: 9, b: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 21*g + 13. Let k(t) = -3*t - 1. Give i(z) + 6*k(z).\nAnswer: -4*z**2 + 3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(125) + sqrt(125) + 1)*1 + -5 - (0 + (-6*(-1 + sqrt(125)) - 5*(0 + sqrt(125)))))**2.\nAnswer: -700*sqrt(5) + 3321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 944*a + 87680. What is y(75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-51280\nAnswer: 20512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, p: 2}. What is prob of picking 2 v?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 44, 51, 56, 65, 84, 119, 176?\n\"Answer: b**3 - 10*b**2 + 38*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1658?\nAnswer: 18238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8091, -16316, -24541, -32766, -40991, -49216?\n\"Answer: -8225*h + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from papappaappapppapppp. What is prob of sequence ppp?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 0 (b) -3 (c) 9.8 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 6. Let x(t) = -6*t + 7. Calculate 5*l(j) + 6*x(j).\nAnswer: -j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -52, -53, -54?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 2*c - 2. Let v be h(2). Let m(r) = r**2 + 3*r + 6. Let t be m(0). Solve t = -z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 3, m: 11, f: 3, b: 1}. Give prob of picking 1 f, 1 m, 1 a, and 1 c.\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -3*m, -3*m - 11 = -7*m + 3*o. Let f be (-6 + 5)\/(m\/(-2)). Let z be ((-1)\/6)\/((-2)\/(-3)). Which is the nearest to 0? (a) z (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veaaveaevaveaa. Give prob of sequence evv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((-1 + sqrt(3))*1 - ((sqrt(300) - (sqrt(300) + 1)) + sqrt(300))) + ((sqrt(6) - 2*sqrt(6))*-6)\/((sqrt(2) + sqrt(8))*5))*4)**2.\nAnswer: 798768\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 8. Let v be i(-8). Let l be ((-40755)\/(-210))\/11 + 1\/(-2). Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 13, 0.15, 2\/3, -2\/11, 5, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6780, -6754, -6720, -6684, -6652?\n\"Answer: -s**3 + 10*s**2 + 3*s - 6792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -91*n**3 + 13*n**2 - 13. Let f(o) = -15*o**3 + 2*o**2 - 2. Suppose 0 = 56*v - 53*v + 2*m, 0 = -2*m - 6. What is v*d(w) - 13*f(w)?\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3685, -3665, -3633, -3583, -3509, -3405?\n\"Answer: d**3 + 13*d - 3699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**2 + 11*n - 93. Determine w(3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 20*a + 9. Is 9 a factor of m(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22102178 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -8803 - -21639. Let f = -1848361\/144 + m. Find the common denominator of f and -31\/7.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2*z + 1. Let v be p(-3). Let q = 2 + v. Solve 4*m - 4*t = q, 5*m + 16 = m - 4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and (-18)\/(-8)*((-3200)\/24)\/(-10).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 26817170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -657a0 - 5?\nAnswer: -657a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 0 (c) 6 (d) -0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -8*q**2 + 5\/12*q**4 + 1\/6*q**5 + 0 + 0*q + 0*q**3. What is the second derivative of z(k) wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from zmmjm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*y + 52 = 0, 3*z + 4*y - 133 - 23 = 0. Calculate the remainder when 155 is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -32. Let y(b) = 36*b**2 - 1. Is y(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:27 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 606461 - 606486.4891. Let q = v - -25.5. Round q to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*c + 4\/7*c**2 + 0 - 2\/7*c**3 = 0. What is c?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3447, 13718, 30829, 54774, 85547, 123142, 167553?\nAnswer: 218774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -4*n. Find the third derivative of 18*w**n + 0 - 12*w**3 + 1 - 1 wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963.1 + 1.5447?\nAnswer: -1961.5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*b**2 - 2)*(-26 + 29 + b - 5*b) in the form y*b**3 + k*b + q + g*b**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 10. Let p be t(-7). Let o = -0.31 + -0.19. Let w = 0.5 - o. Sort w, p, 2.\nAnswer: w, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 - 151. Suppose -l - 110 = -3*h, 2*h - 3*l - 114 = -h. What is the greatest common divisor of h and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 c when four letters picked without replacement from {c: 14, y: 2, u: 1}.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 54*g + 62*g + 12 = 0, -3*g - 8 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) - 1743\/(-35). Let l = i + -261\/5. Let c = -47876\/77 - -4318\/7. Calculate the common denominator of c and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 473?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-50)*(o**1)**(-12\/5) assuming o is positive.\nAnswer: o**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(88) - (-1*sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88))))\/sqrt(8) - (sqrt(132) + (-1*sqrt(132)*2 - sqrt(132)))\/(sqrt(1452) + 2*sqrt(1452)).\nAnswer: -1978*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 8, 0.4, -0.08, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - 5 + 2 - 12*b + 2*b**3 + 3*b**4 + 6*b to the form p*b + g + s*b**2 + j*b**3 + v*b**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/64, 1\/36 in descending order.\nAnswer: 1\/36, 1\/64, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otehoppre. What is prob of sequence te?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p + 4. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 7*f + 5*f + 0*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2237 - -2241. Solve -3*o - 5*m = -14 + a, -5*o + m = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3468, -3428, -3388, -3348, -3308?\n\"Answer: 40*a - 3508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 4*t + 10. Let z = -1 + 7. Let u be j(z). Sort -5, u, 5 in increasing order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20216000 to the nearest 100000.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*i**2 - 73*i?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 45. Suppose 2*p - 4*d = -12, 4*d = 2*p - p - 4. Let v = p + k. What is the highest common factor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -5271\/16 + 1311\/4. What is the common denominator of 23\/252 and b?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 - 156*p + 2. Determine g(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 904 = 6*a + 1364 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/30 + 7*d**5\/25 + 7*d**4\/10 + 2*d**3\/15 - 3*d**2\/2 - 9*d\/5 + 95. Find i such that q(i) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26134 is divided by 2812.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**5\/4 + s**2 - 5*s. Find the first derivative of o(q) wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 15*p**3 - 35*p**3 - 5*p**2 + p**2 to the form k*p + v + i*p**2 + f*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.341 - 0.641. What is the second smallest value in v, 4, -8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -24.64. What is i rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*n**5 + 387696*n**3 + 1976*n**2 - 387699*n**3 + 270*n**5 wrt n.\nAnswer: 21780*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 + 1 + 0*r**2 + 69*r**2 - 2*r**3 + 54*r**2 + 0*r**3 to the form j*r**3 + l*r + p*r**2 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 112, 163, 234, 325, 436?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-6 - -16 - 6) - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39249 - 39250.9483. Let p = -4.05095 + s. Let y = p + 6. Round y to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 212925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b + 202 + 572 + 1169 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.108 - -49.108. Let f = q + -51. Which is the third biggest value? (a) f (b) 2 (c) 4 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f - 6*f = -3*b + 521, 0*b + 4*b - 5 = 3*b for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7080?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -0*j + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*n + 81*n - 255*n + 92*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 46215?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 29*p + 45)*(6 - 2 - 3)*(-22*p**3 + 9*p**3 - 6*p**3).\nAnswer: -551*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 352 - 110 = 5*a. Let v = 41 - 20. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/66 + -29\/22. Suppose 2*k + 12 = -3*b, -5*b - 16 = 3*k + 4. Let p be (-2)\/b*-2*9. Put 0.4, p, n in descending order.\nAnswer: 0.4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1096*g**3 + 2*g**2 + 4*g - 4. Let b be n(2). What is b rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-20) - 1163\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + 8*y**2 + 13*y + 4. Give v(-3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3028)\/(-7570)*120\/(-9).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-3 + (-11)\/(-2)). Let g be 18\/45 - (-146)\/10. Let c be 5*((-48)\/g)\/(-4). Solve 3*u - 14 - 5 = c*z, 2*u = h*z + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**4 + 3*k**3*v - 11*k - 5*v + 2 wrt k?\nAnswer: -36*k**2 + 18*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**10)**(6\/23)*(s*(s\/s**(-9))\/s*s*s)**(2\/19) assuming s is positive.\nAnswer: s**(1806\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32984133.\nAnswer: 3, 7, 13, 19, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -4*a - 8*r + 10, -13 = -4*a - 5*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(204)\/sqrt(12) - sqrt(17)) + sqrt(17)))**2 + 0 + (-2 + sqrt(153)*-4 + sqrt(153))**2.\nAnswer: 36*sqrt(17) + 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8 and 81\/238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75735, -75750, -75765?\nAnswer: -75780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/4)\/(m*m*m*m**(3\/5)*m*m))**(-28))**(-5))**(22\/7) assuming m is positive.\nAnswer: m**(-2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 14, 4 in decreasing order.\nAnswer: 14, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**6\/k)*k*k)*k)\/k**(-5)*k**2*((k*(k**(-3)\/k)\/k)\/k)\/k assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 352308111*t + 337366338?\nAnswer: 352308111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 2*v + 0*v)*(3 - 6 - 6) + (0 - 2 + 0)*(14 + 12*v - 10*v - 4*v) to c + m*v and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.041 + 0.041. Let l = -170111\/5 + 33785. Let u = -236 - l. What is the second biggest value in 1, -0.4, p, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173 * -11.1.\nAnswer: 1920.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 - 16476*a**3 - 214526*a**2 = 0.\nAnswer: -13, 0, 8251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 4*w + 1. Let d be o(-7). Let k be (-95)\/d - (-2)\/8. Solve 4*z - u + 6*u - 1 = 0, -4*u - 32 = -k*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12860.1 and 1.\nAnswer: -12860.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 574 (b) -47.4 (c) -73\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222167302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 680429\/21 or 32400?\nAnswer: 680429\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w + w - w)*(-7*w**4 + 2*w**4 + 15*w**4).\nAnswer: 20*w**5 + 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191948, 191942, 191936, 191930?\nAnswer: 191924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215\/6 - 36. What is the third biggest value in -0.5, i, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11903 - 11893. What is the least common multiple of 2814 and i?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32225 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t - 1. Let d be g(-2). Let s(m) = 9*m**2 - 7*m - 2. Is s(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 + 341. What is the nearest to -2\/7 in 0, -3, s, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c**2 - 7 + 0*c - 1\/12*c**3. Factor l(w).\nAnswer: -w**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 456875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 797 = -65*z + 1804. Solve 49*g - z*g = 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7358 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 22*q**3\/9 - 86*q**2\/3 - 364*q\/9 = 0?\nAnswer: -14\/11, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 9, 0.7 in descending order.\nAnswer: 9, 0.7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 12*f - 30 = 0. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2664 + -2505. Calculate the highest common factor of f and 10176.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o - 15*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18831 - -18833. Let u(x) = -4*x**3 + 5*x**2 - 3. Determine u(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 - -2)) + -4 - (-773 - -782).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27650 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268772621?\nAnswer: 3, 23, 251, 73259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -266 - -13?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 487, 1623, 3835, 7483, 12927, 20527?\nAnswer: 30643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 12*z**2 + 2*z - 15. Let c be q(12). Is 10 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -3098, -9654, -22420, -43466?\nAnswer: -74862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 5253*s**4 - 94285*s**3 + 287907*s**2 + 94286*s - 293160 = 0. What is s?\nAnswer: -1, 1, 4, 14, 5235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**5 + 131\/12*w**4 - 13 - 1\/10*w**6 - 16\/21*w**7 + 0*w**2 + 0*w**3 - 4*w. Find the third derivative of s(o) wrt o.\nAnswer: -1920*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/27)*p)\/p)**(2\/25)\/((p\/(p*p**27))\/p**(1\/3)))**26 assuming p is positive.\nAnswer: p**(479804\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7033, 28034, 63027, 112006, 174965, 251898, 342799?\n\"Answer: -s**3 + 7002*s**2 + 2*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 0*3\/6. Let l = -8 - f. Does l = 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -19 + q**2 + 0*q**2 + 21 + 9*q. Determine c(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 225. Let l = v - -210. Calculate the remainder when l is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62, -5, -2, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 55*q**3 + q**2 + 36772 + q**2 + 0*q**2 - 36770 + 3*q. What is y(-1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = 5*t, -9*t + 3*j + 18 = -4*t. Let z(a) = 3*a - 74. What is the remainder when t is divided by z(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 + 132. Suppose -3*d = -5*v, 5*d - 7*d + 4*v = u. Solve 3*q + d*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 40 = 120. Suppose -46 = -k - 16. What is the remainder when k is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(((-8)\/(-2))\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 0.3, 0.08, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 68*h**2 + 4*h - 4 - 67*h**2 + 0. Let t(f) = f - 1. Determine p(j) - 4*t(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/17 + 16\/51. Let r = -6 + 0. Let m = r + 4. What is the nearest to k in -4, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -1224, -1825, -2418, -3003, -3580, -4149?\nAnswer: -4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 75. What is m(-37)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 9*a**2 + 8*a + 2. Let u be k(8). Let h(y) = 9*y**2 + 2*y - 4. Let t be h(-2). Suppose -u = n - t. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -4\/33896169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -3860596.\nAnswer: -3860599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i - 264 = 11*i - 19*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 42, -15, -72?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 22. Let n be ((-15)\/(-6))\/(1\/2). Suppose 6 = -b + 2*d, n*b + 5*d - 34 = 11. Solve -b*q - l = -3*w, -3*w + 3*q + 1 = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3242 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48780 divided by -1355\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 5 - 3*a**3 - 37 + 5*a**3)*(0*a + a - 4*a).\nAnswer: -6*a**4 + 6*a**3 + 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 752 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 6)*(-2 + 2*x + 2) - 6*x + 9*x - 2*x)*(10 - 10 - 21*x).\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -j + 3*j. Suppose 2*x + j = 10. What is the second derivative of 0*v**2 + 0*v**2 - 7*v - x*v + 3*v**5 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4792233.4 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 2*d**2 - 8*d - 19. Give j(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*j + 96*j + 80*j - 168 = 0. Let c(r) = 5*r**3 + 6*r**2 - 12*r. Let a(g) = -14*g**3 - 17*g**2 + 36*g. What is j*a(v) + 17*c(v)?\nAnswer: v**3 + 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29229 and 939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*b - 2811 = -754 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-170)\/(-4624))\/(5\/3)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 8*p**2 + 21*p - 8. Let c be b(10). Suppose 7*g + 3*f - c = 4*g, 3*f + 662 = 5*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397110 is divided by 259?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1905, -7680, -17341, -30894, -48345?\n\"Answer: -d**3 - 1937*d**2 + 43*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {n: 1, i: 1, o: 3, h: 5, g: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 3*b - 2. Let u(i) = -i**2 + 15*i + 288. Let h be u(-11). What is x(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 13679989?\nAnswer: 13679991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58*1*4*(-28479)\/(-455664).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 188*w - 2525. What is r(-12)?\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 29. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v + 235. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 + 13*d - 3. Let f be k(6). Suppose 6 = 3*n + f*m, 3*m - 2*m + 2 = n. Solve 0*t = 4*t - x - n, 3*t - 4 = 2*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*s**2 - 548404449*s - 181*s**2 + 548404449*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + -1*sqrt(117) + sqrt(117))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.61 + 0.39. Let t = y + -17.962. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12159 and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/140 and 20\/(-4) - ((-6666)\/1110 - -1).\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -344. Suppose 5*v - 510 = -3*f, -2*v - 5*f = -5*v + q. What is the remainder when v is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 18. Suppose 4*q - h - 5 = 0. Suppose 2*y + 3*y = -20. Which is the third biggest value? (a) q (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-10 - 0))\/((-16)\/80). Which is the second biggest value? (a) -5\/3 (b) -2 (c) v (d) -5\/12 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**4\/8 + 3*i**3 - 33*i**2. Let a be y(-7). Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 3.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 818, -2, 6565.\nAnswer: -2, 818, 6565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19679 = -f + 4*f - 2*x, 0 = 2*x - 10. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 3*o**5 - 5*o**5 + (2*o + 3 - 3)*(o**3 + 0*o**2 + 0*o**2)*(-1 - 5*o + 1) + 5*o**5 + 1 - 1.\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 268 - 100. Let x = -168.0111 + s. Round x to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:45 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 582431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-169 + 1225 + 3239)*(c + 0 + 0) as i + g*c and give g.\nAnswer: 4295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46589 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -790521.19951 + 790517. Let p = 14.8 - 19. Let j = g - p. Round j to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/10 + 21*n**5\/20 - n**4\/4 - 7*n**3\/2 - 347*n. Solve j(r) = 0 for r.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 2, x: 1, h: 1, a: 1, m: 1}. Give prob of picking 1 m, 1 x, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*h = -25*h + 14040. What is the smallest common multiple of 135 and h?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 24*j + 36. Determine y(23).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1 - 27*u**2 + 7*u - 1 + 9*u**2 + 17*u**2. Let x = 2 - -5. Let z be w(x). Sort 2, z, -1 in increasing order.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 20*c**3 + 100*c**2 + 20*c - 96 = 0. What is c?\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (108\/15)\/(-2)*(-71)\/((-42174)\/(-660))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 651\/(-21) - (-4)\/(-2). What is the units digit of (1*3)\/((-3)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93787673, 93787674, 93787675, 93787676?\n\"Answer: j + 93787672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -458*m**3 - 6*m**2 - 6*m + 12. Let s(p) = 917*p**3 + 13*p**2 + 13*p - 26. Give 6*s(d) + 13*v(d).\nAnswer: -452*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -279343 to the nearest one thousand.\nAnswer: -279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5319*d + 5321*d - 4*r + r = 49, 2*d + 4*r + 84 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11060862 by 2.\nAnswer: 5530431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 38, 22, 6, -10?\n\"Answer: -16*j + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*-1*sqrt(272) + -1*sqrt(272)*-4 - (-6*(-1*sqrt(272) + sqrt(272)) + 1))*5)**2*4.\nAnswer: -4480*sqrt(17) + 1332864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2244 * 12950.\nAnswer: 29059800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361312680?\nAnswer: 2, 3, 5, 3010939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 117 - 1. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -28*x**2. Let y(o) = 89244 + 5*o - 89244. Give y(m(c)).\nAnswer: -140*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*x**3 - 202*x**3 - 190*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/234*(5\/16)\/(-5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901109743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 5, g: 5, x: 2}. Give prob of sequence xjxj.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 90.61. Round i to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2. Let p(q) = 3084*q**2 + 15. Give p(k(w)).\nAnswer: 49344*w**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 27. Suppose 0 = -2*l + 6, -a*q + 18 = -3*l - 3. Solve -n + 6*n - q = 5*v, -5*v = 5*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 171.631\nAnswer: -51.4893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5273 + 4689. Is k greater than -585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229466182?\nAnswer: 2, 11, 10430281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 33*p + 29*p - 56 = 0, 0 = 12*k - 4*p + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15831.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*i + 3*i**3 - 8*i + 79*i - 16*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1069\/11275 - 4\/1025. Let p be (-33)\/(-12) + 3\/(-4). Suppose 6*r = r + y, 3*r = -p*y + 13. Which is the biggest value? (a) 3 (b) -2 (c) s (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9) - 2\/3. Suppose 5*o - 19 + 4 = 0. Put y, -3, o in decreasing order.\nAnswer: o, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 1003 - 119. Calculate the remainder when q is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 28, 73, 146, 253, 400?\n\"Answer: m**3 + 5*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-25)*c)\/c)**(5\/14)\/((c\/(c*c**(-17\/2)\/c*c))\/c*c)**(-3\/7) assuming c is positive.\nAnswer: c**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5 - 2*o**2 - 3*o + 13*o**2 + 1. Let c be h(4). Let a = 7 + 10. Calculate the greatest common factor of c and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45283? (a) 5\/3 (b) -0.2 (c) -5 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 10*u + 7. Suppose -4 = 2*w + 6. Let q(a) = -5*a**2 - 11*a + 8. Let f(y) = w*q(y) + 6*p(y). Determine f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {v: 4, r: 2, d: 1, y: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a factor of 95979380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 1 = -7, -q = -5*l + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*u - 159*u = -2*i + 10, -2*i + 10 = 5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -145, -14.0337, 0.4 in descending order.\nAnswer: 0.4, -0.5, -14.0337, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 8. Suppose 0 = -u*j + j + 33. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:40 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q + 16*q - 17*q - 101.\nAnswer: -26*q - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40865836 divided by 10216459.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3485975 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*-2*(-16)\/(-12). Suppose s - 12*b - 602 = -o*b, 2 = 2*b. List the prime factors of s.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409659, 409632, 409593, 409542?\nAnswer: 409479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154927 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: How many micrometers are there in 266359.4mm?\nAnswer: 266359400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1573 and 52481.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126224 (base 10) in base 7?\nAnswer: -12400311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2*m**3 + 3*m**2\/2 + 4. What is the second derivative of d(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-8)\/27))\/(78\/(-52)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/13 (c) -0.14 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 22*h**2 - 153*h - 347. What is x(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -28bbf?\nAnswer: 28bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 409541016 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40299 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0+1.47\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 249*x + 138*x = -114*x + 1701 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -1)*(3 + -2)*2. Solve 0 = 2*a + 2*a - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495971 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 688*f**2 - 5*f*l*q - 2*f*q + 99*l*q - 17*l + q wrt f?\nAnswer: 1376*f - 5*l*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 200 - 155. What is the biggest value in g, -2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4807647, -4807649, -4807647, -4807641, -4807631?\nAnswer: -4807617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 64*b**2 + 151*b + 466. Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55606*b**2 - 108*b - 31 wrt b.\nAnswer: -111212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s - 16. Let f(o) = 34*o - 61. Give -2*f(a) + 9*q(a).\nAnswer: 4*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14188, -56762, -127718, -227056, -354776, -510878?\nAnswer: -695362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + (5 - 9) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 2*f + 8, 4*a = -4*f + 8. Let x be 2\/(-6) + (-4)\/(-12). Solve -a*l - 11 - 1 = x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 + 2*r - 12. Let j(s) = -s**2. Let b(g) = 5*j(g) + q(g). Let k be b(-5). What is the biggest value in 5\/4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0, -0.2, 432612?\nAnswer: 432612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:45 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773, 3553, 5333, 7113?\nAnswer: 8893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 + 8*b. Let s be h(-8). Let u be 0 + (1 - s) - -2. Solve -w + 3*w = 2*y - 2, 5*w + 3*y - u = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3434*d - 3445*d - 21 = 0, 2*p - 7 = -3*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 746.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*u**2 + l**3*u + 327153*l**2*u**3 - 10*l - 128221*u**3 wrt l?\nAnswer: 6*l*u**2 + 6*l*u + 654306*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (20\/16 - 4) + 3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, x: 1, r: 2}. What is prob of picking 3 g?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 56*y + 50. Give h(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845362772.\nAnswer: 2, 2767, 76379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4, n = -3*o + 5 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 7*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55017117?\nAnswer: 3, 17, 67, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270 + 286. What is the common denominator of m\/(-72) - 473\/126 and 145\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.21 - -11.49. Let j = 65 - g. Which is the closest to 3? (a) 4 (b) j (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907, -902, -895, -886, -875?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123, 245, 367?\n\"Answer: 122*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1759056 + v + 3*v + 1759057 + 3*v. Let o(g) = 42*g. Calculate c(o(s)).\nAnswer: 294*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 + 5.3. Let y be 2\/18 + (-14)\/(-63). Suppose 3 + 5 = 2*z. Which is the nearest to v? (a) y (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*u + 1)*(-4 - 2*u + 4) + (-6*u**2 + 3*u**2 + 2*u**2)*(20 - 21 - 39) + u**2 + u**2 + u**2)*(0*u - u + 2*u).\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 142*o**3 + 140*o**2.\nAnswer: 2*o**2*(o + 1)*(o + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 83*l**3 - 21*l**2 + 17*l + 11. Let p be x(5). Round p to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1855007 or 1855008?\nAnswer: 1855008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 0.5, 2, -3, -67\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2072 to 3 decimal places.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.399, -4, 0?\nAnswer: -0.399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 44 = -6*i. Let m(l) = 442*l - 1. Let f be m(2). Let h = f - 905. Do i and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 3. Let m = 5 + -3. Which is the nearest to 2\/7? (a) -1 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 4. Let t(w) = 2*w + 4. Let y(d) = -4*h(d) + 5*t(d). Let l be y(4). Let c = l + 6. Solve -3*u = 3*o + 6, -c + 10 = -2*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 12*b - 121250, 0 = -3*b + 12*q - 8*q + 30316. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 - 1\/3*r**3 + 1\/12*r**4 + 3*r + 1\/2*r**2. Determine g, given that j(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 799 - -645. Is b a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21785030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 16 - 6. Suppose 7*t = y*t. Suppose t = 2*p - 13 - 5. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 944.\nAnswer: 70800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.61453 weeks?\nAnswer: 4.30171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10*4*1425\/190. Solve 2*s = 14 - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a hour in minutes?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1406767?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -196, -193, -130, -13?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlllrrr. What is prob of sequence lrlr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c + i, -c + 4*i + 8 = 3*c. Let v(l) be the second derivative of 0 + 0*l**3 + l**c - 1\/6*l**4 - l. Let v(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94a2b (base 15) in base 8?\nAnswer: -1630570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 3751.\nAnswer: -272\/3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:58 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1678266 and 0.08.\nAnswer: -134261.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31982 is divided by 3457.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s**2 - 8*s + 0 - 4*s**3 + 3*s**3 + 3. Let b be o(-7). Is 9 a factor of (-178)\/(-10) - (-2)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/657 and 58\/511?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11978 and 14.\nAnswer: 167692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14002 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 10 = -z. Let y be 164\/42 - 36\/(-378). What is the hundreds digit of (y\/(-8))\/(z\/204)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-70)\/(-12))*(-31)\/(-8463). Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 91*i - 36.\nAnswer: 91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 28. Let c be u(-8). Let d = c + 49. Calculate the highest common factor of 39 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 654 = -3*o - 304, -5*o - 10 = 0. Let v = 153 - n. Let l = 85 + v. Solve j + l*f = f, 3*f = -j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 + m - 2. Let j be (0 - 0)*1\/(-2). Let t be j\/(-3 - 1) - 3. What are the prime factors of h(t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Suppose -j = n*w + 9, 3*j + 4*w - 5*w = 5. Let o(k) be the third derivative of -k**4\/6 - k**3\/6 + 2*k**2 - 33*k. Calculate o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2637*a + 47. List the prime factors of b(2).\nAnswer: 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 19*z - 27*z. Suppose 3*m = q - 759, z*m - 2035 = -2*q - 557. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8690*u - 27204*u + 2695*u to the form o*u + f and give o.\nAnswer: -33199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:36 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*u + 5. Sort 3, -1, -5, u in descending order.\nAnswer: 3, -1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 - 10 = 0. Suppose 0 = -59*k - 2*k + 793. Solve -k = u*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Suppose -2*m + 5 = 3. Let o(r) = -r - 1. Calculate m*s(q) - 2*o(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, v: 10}. Give prob of picking 1 p and 3 v.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*4*-1. Suppose -2*w + k + 574 = -20, 0 = 4*w + p*k - 1188. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-29\/5) assuming r is positive.\nAnswer: r**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, -112, 61869, 1, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77012167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*((b*b**(-9)*b)\/b*b)\/b)\/b)*b**3*b)**42 assuming b is positive.\nAnswer: b**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from llflnkkflffllkk.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8372 is divided by 405.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 9039*n**4\/4 + 6796*n - 1205. Differentiate i(z) with respect to z.\nAnswer: 27117*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c*c*c*(c**11\/c)\/c)\/(c*c\/c**(-4\/3)*c**(-12)\/c*c) assuming c is positive.\nAnswer: c**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 44 - 176*r**2 + 2*r**3 + r + 91*r**2 + 95*r**2 - 3*r**3 in the form w*r**3 + s + v*r**2 + k*r and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32764053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, 2, 8, 3.\nAnswer: -29, -4, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let l(c) = -c**2 - 3*c. Give y(l(u)).\nAnswer: -2*u**4 - 12*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -6, 21, 58, 105, 162?\n\"Answer: 5*j**2 + 2*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -154*r + 1339 + 980 - 163. Calculate the lowest common multiple of r and 614.\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (81 - 50)) + (0 - 158\/32).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + -169b728?\nAnswer: -169b709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 52268.\nAnswer: 418144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/9 + 292*w**4\/3 - 880*w**3\/9 - 292*w**2\/3 + 878*w\/9 = 0. Calculate w.\nAnswer: -439, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 188. Let f = a - 156. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(6\/((-12768)\/38)). Calculate the greatest common divisor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -905, -905, -905, -899, -881, -845?\n\"Answer: w**3 - 6*w**2 + 11*w - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173788 is divided by 391216.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220020 (base 4) to base 3.\nAnswer: -10112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*c**4 + 3*c**3 + 9969*c wrt c?\nAnswer: 540*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 6*n - 2*n)*(2 - 2 + n**3) - 2*n**3 + 5*n**4 + 2*n**3.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55548086 divided by 2.\nAnswer: -27774043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*3\/(-1350))\/(88\/220).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 988\nAnswer: -7\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -18, -49, 1, -3, -5 in ascending order.\nAnswer: -49, -18, -5, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.08 + -1.22. Let t = w + 3.3. Which is the closest to 3? (a) -1\/5 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335477.12 to the nearest 1000.\nAnswer: -335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/17))**(-1\/8)*c*c\/c**(-9\/2)*(c**(-5\/3)*c)\/c assuming c is positive.\nAnswer: c**(1981\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3048 and 109488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h - 12. Let w be (-18)\/15*30\/(-18). Suppose 4*u = -w*a - 0*u - 8, -4*u + 16 = -4*a. Is a not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -9, 0.7, 214\/11 in ascending order.\nAnswer: -9, 0.2, 0.7, 1, 214\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 195924370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, m: 4}. Give prob of picking 3 m and 1 g.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 90224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-3)\/((-3)\/28) + 4. Let z = q - 2177\/64. Does z = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/2*(16 - -1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-10))\/l*l*l*l**(-6))\/(l**(-12)*l**(-3\/10)) assuming l is positive.\nAnswer: l**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 194 = 214. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let c(l) = 41 - 85 + 7*l + 37. What is the remainder when c(r) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 3*k - 3. Let o be (-2)\/3*570\/(-76). Let l(q) = q**2. Let p(j) = 3*j**2 + 5*j + 2. Let u(b) = -4*l(b) + p(b). Let g be u(o). Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12735418 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.167549 years to millennia.\nAnswer: 0.004167549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -1732\/11, -0.3.\nAnswer: -1732\/11, -3, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.44. Let g = 0.775 + 767.225. Let p = g - 765. Which is the nearest to 1? (a) 2 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 49*q - 1557. Determine t(32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -85*-530896.5\nAnswer: 45126202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5201 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from mnpnpmmpppn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 7. Let y be i(-10). Suppose p = 1 + y. Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1122*t - 56108. Calculate r(50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70662026.\nAnswer: 2, 19, 23, 80849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -180739450.\nAnswer: -2\/90369725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 10, g: 1, e: 1, h: 2}. Give prob of sequence vghr.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 7674*w + 76760.\nAnswer: -(w - 38380)*(w + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/10 (b) -15 (c) -10.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d + 8. Let x be -4 - 7 - (-6)\/3. Let m be c(x). Is (-2)\/m + 306\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63016.02 micrograms to tonnes.\nAnswer: 0.00000006301602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4881*r + 1615 + 668 + 4887*r.\nAnswer: 6*r + 2283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15692 - -15892. Suppose -2*m = -8 - 0. Calculate the lowest common multiple of m and o.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.1, 2\/9, 445\/4, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171791 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 12*c**2 + 5. Let r(g) = 2*g**3 - 23*g**2 + g + 9. Let i = 7 - 18. Let a(k) = i*m(k) + 6*r(k). Give a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 912, -4, 0.3, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**2 - 42*c - 34. List the prime factors of q(9).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221022 + 100?\nAnswer: -22220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 6) to base 5\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 115 = -0*n. Suppose 3*l + 5*s - 16 = 0, -3*l - s + 0*s + 20 = 0. Solve n = -h + 4*a, -h = 3*h + a + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244 + 245.53. Let z = -865431.469858 + 865433. Let x = z - j. What is x rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**4 + 5*a**3 + 12*a**2 + 5*a. Let n(c) = 2*c**4 - 2*c**3 - 6*c**2 - 2*c. Let x(h) = -2*d(h) - 5*n(h). What is the third derivative of x(p) wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, r: 1, y: 5, m: 3}. What is prob of sequence ym?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -3 + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*75.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7817*k**2 + 669*k + 2?\nAnswer: 15634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/43 - 96\/301. What is the closest to 21\/5 in -4, -0.2, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3137 + 11?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20734 and 41468.\nAnswer: 41468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4970 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*n - 758*n + 209 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.29\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 17)*2\/(-5). Let y(t) = -89*t + 9 + 173*t - 87*t. What is y(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*o**4 + 18*o**3 + 2*o**2 - 85*o + 2036455 wrt o.\nAnswer: -144*o**3 + 54*o**2 + 4*o - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38, 78, 118, 158, 198?\n\"Answer: 40*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.917942kg?\nAnswer: 5917942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1711.097cm?\nAnswer: 17110970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 at most -33506\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29516 by -7379.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3808 divided by 1663.\nAnswer: 3808\/1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(275)\/(sqrt(5)*1)*5)\/(sqrt(5) - 4*sqrt(405) - sqrt(320)*-6).\nAnswer: -5 - 10*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 2619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17007430 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31620 by -5.\nAnswer: -6324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/81384 and 121\/1729410.\nAnswer: 6917640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + w**2 + w - 2*w**3 - 5 + w**3. Suppose 5*c = -o - 14 - 1, -3*o + 4*c + 31 = 0. Let m be p(o). Sort 2, m, -5 in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 399ab (base 14) to base 5\nAnswer: 14014414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28107 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80798 is divided by 949?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - ((-5 - -25) + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20290253029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 316770, 1266967, 2850590, 5067633, 7918090, 11401955, 15519222, 20269885?\n\"Answer: -o**3 + 316719*o**2 + 47*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74771199 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.6 + -70. Which is the smallest value? (a) x (b) 2\/29 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -207, -219, -241, -279, -339, -427, -549?\n\"Answer: -s**3 + s**2 - 8*s - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**0)\/l)**(1\/5))**(-20\/7) assuming l is positive.\nAnswer: l**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2223347 divided by 7.\nAnswer: 317621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from esseesessseessessss.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**4 + 3*k**4 + 11*k**4)*(-2 + 6 - 2)*(136*k - 4802 + 4802).\nAnswer: 5712*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, -73, -3.\nAnswer: -73, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(80) + 2)*-2)**2 - sqrt(80))*-5 - (-1 + (2 + ((sqrt(80) - (sqrt(80) + 0)) + sqrt(80))**2 - (1 + sqrt(80) + -2))).\nAnswer: -1761 - 296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + (-2 - -2) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 914232.5ns?\nAnswer: 0.9142325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 4. Let y be g(4). Let d = 2 + -4. Let s = d + 2. Is s greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21280 - -21284. Solve r*h - 49 + 45 = 0, 2*n - 5 = -3*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.4 minus 1.54?\nAnswer: -323.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -228, -263, -300, -339?\n\"Answer: -v**2 - 32*v - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51188 smaller than 51191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*2\/36*-2. What is the closest to r in -0.1, -2\/5, -0.14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472710638?\nAnswer: 2, 236355319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-33) + 0\/(-1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 + 13*n**4\/24 + 7*n**3 + 80*n**2 - 2. What is d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*k - 335482 - 36758. Calculate the greatest common factor of k and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.98234 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*n - 5 + 1 - 2 - 518*n + 5.\nAnswer: -636*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = -145 + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = 131. Suppose 0 = -4*l - 5*d + 3, 3*d = -4*l - d + 4. What are the prime factors of l\/(-10) - i\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Suppose -3*j + 2*h + 459 = 0, -523 = -5*j + 2*h + 242. Let s be 3 - (j\/(-15))\/l. Which is the closest to s? (a) 0.2 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(3\/2))\/t**(2\/27))**(-2\/17) assuming t is positive.\nAnswer: t**(-185\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o + 112. Determine g(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 438 = 2*n + 426, 2*s + 8 = -3*n. Let v(m) = -m**2 - 4*m + 52. Give v(n).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -2c825?\nAnswer: -2c833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 309771*f - 619530.\nAnswer: -3*(f - 103255)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7052 + -1239. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/21)\/((2\/(-42))\/(-1)). Suppose -b*w + 284 = -1012. What is the least common multiple of 72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5171 + 14901. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-27)\/(-4) - 24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42644*u**2 - 6*u - 1480 wrt u?\nAnswer: -85288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8058118 divided by 4029059.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-k + 2*k - 2*k) + (-1 + 3 + 0)*(-1 + 1 + k) - k + 10*k - k to the form r + n*k and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/5 - 24*s**3\/5 + 4*s**2\/5 + 24*s\/5.\nAnswer: -4*s*(s - 1)*(s + 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 28. Let w = a - 129\/7. What is the smallest value in -2, w, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12343*s + 1 - 12341*s - 1 + 24695*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 25 + 26*z - 8*z + (-4*z - 2*z + 4*z)*(-3 + 3 - 2) - 3*z - 3*z + 7*z.\nAnswer: 23*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3 - 409*y**2 + 9010*y - 8600 = 0.\nAnswer: -430, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 182859564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.102 + -0.1. Let g = -5449.035 - -5449. Let j = v - g. What is j rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24094 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1427*6.\nAnswer: -8562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 8. Let u = m - -8. Solve q - 5 = 2*w, -2*q - 5 + 3 = u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08413 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320194145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 2*x**2 + 2*x**2 + (4 + x - 4)*(5*x - 3*x - 3*x) to the form o*x + g*x**2 + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 38*k**3 + 4*k**2 - 50*k + 47. Give j(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -19. Let y = 9 - v. Suppose 4*l = 3*j + y - 32, 15 = -5*l - j. Sort -2\/9, l, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + 4)*6 + (sqrt(405) + 1)*-3 + (sqrt(405) - 2*sqrt(405)) + 5)**2.\nAnswer: 936*sqrt(5) + 2296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 2669 - 3741 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.209 less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/42 + (-4)\/14. Suppose -z + 603 = s*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011793 rounded to 6 decimal places?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2 - 24*o - 8.\nAnswer: -2*(o + 2)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:31 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3146*l = -3192*l + 598 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34950 or -34971?\nAnswer: -34971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 0 (c) -7.3965 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 731, 1800, 3329, 5318, 7767?\n\"Answer: 230*b**2 - 81*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497903 divided by 627?\nAnswer: -2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000813 to seven dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/23)\/o*o*o\/o**(-19)*o\/(o\/(o\/o**(-3)*o))*o\/o**23 assuming o is positive.\nAnswer: o**(63\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2*n**3\/63 + 44*n**2\/21 - 8*n - 668. Solve u(d) = 0 for d.\nAnswer: 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**4\/o)\/o)**(-1\/4) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795\/5425 + 1456\/(-12740).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0 - 3\/2*t**3 + 1\/4*t**4 + 0*t + 6*t**2. Differentiate d(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 65*p + 1. Let a be (8\/(3 - 5))\/(-2). Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 24\/5. Suppose -3*w + 21 = 2*p, p = y*w + 6 - 28. Suppose -p*l = -2*l - 187. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9180 and 2380?\nAnswer: 64260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 369, 1\/2, -0.5, -4?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 5, -2, -28 in ascending order.\nAnswer: -28, -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from {v: 8, k: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j - 4. Let u be (-6)\/(-2) + j\/4. Suppose -3*o = 5*z + 19, -5 = u*z - 3*z - 5*o. Sort 2, 1, z in decreasing order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and 1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 4*z**2 + 2*z**3 - z**3 + (-5 + 4 - 1)*(-3*z**3 - z**3 + z**3) - z**3 + 3*z**3 + 0*z**3.\nAnswer: 9*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r - 2*r - 7*r - 22*r**2.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(g - 4*g + 5*g) + (-3 + 8 + 3)*(3*g + 5 - 5) - 3*g + 2*g + 2*g + 3*g + 2*g - 3*g + (5 - 1 - 2)*(0 + 0 + 2*g).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:18 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from ggwwwwwsgwwhwssshsww.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o. Let i be o\/(4 + (-12)\/4). Suppose -2*n - n + 6900000 = i. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10204160 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 992808 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/13)\/((d*d**(5\/6))\/d) assuming d is positive.\nAnswer: d**(-77\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -34.4. Let v be ((-28)\/35)\/((-28)\/10). Sort v, f, -3\/5 in increasing order.\nAnswer: -3\/5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 >= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -14*o + 10*o. Let v = -6641\/9 + 739. Let z = v + -65\/18. Which is the nearest to 0.2? (a) o (b) -9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 50. Calculate the remainder when k is divided by (-18)\/4*4\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.078, -0.2 in increasing order.\nAnswer: -0.2, -0.078, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - d + 1. Let v be p(0). Suppose -n + 35 = -v. Solve 3*w = 5*o + 7*w - 4, 5*o = 4*w + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 37190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523420783 and 1844?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 0 + (-480)\/(-3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/32)\/(4 - 0). Is 1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 - v**2. Let j be r(1). Let i(w) = -w**2 + 2*w - 1. Let l be i(1). Solve l = 5*o + 2*k + 14, 10 - j = -2*o - 2*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -800*i**3 - 9*i**2 - 3*i + 3. Let y(v) = -2400*v**3 - 25*v**2 - 8*v + 8. Give -8*s(h) + 3*y(h).\nAnswer: -800*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 514, 1847, 4480, 8851, 15398?\nAnswer: 24559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45.34211 and 0.\nAnswer: -45.34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 389985257 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1343 and -4.\nAnswer: 5372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -1326.\nAnswer: 61\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*v - 5 + 5 + 509*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 - 2457 = -9*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*n - 20 = 0, -x + 3*n + 5 - 3 = 0. Let t(d) = -d**2 + 2*d + 4. Let f(k) = k**2 - 2*k - 5. Determine x*t(w) + 4*f(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(1\/8))\/c*c*c**11*(c**(-9))**(2\/49) assuming c is positive.\nAnswer: c**(5393\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + 1*sqrt(2057) + sqrt(17).\nAnswer: 25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4542671.\nAnswer: 7, 648953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 1) + 1664 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 0, -4*i + 25 = 3*o - 46. Suppose -2*y = -v + o, v - 6 = -3*y + 2*y. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6612187?\nAnswer: 6612187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**2 - 7*f**2 - 8*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30477?\nAnswer: 3, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1035840 divided by -5395.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/((-80)\/15) - -1. Suppose -4*l - 2*v = v - 5, 0 = -l + 4*v + 25. Solve 0 = l*o - a + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2720\/2992 + (-3162)\/187\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 149016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -33335*f + 0*f**4 - 3*f**4 - 17*f**2 + 33344*f + 2*f**2 - 3*f**3 as p*f + h*f**4 + z*f**2 + v*f**3 + b and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1235\/2 + -617. Which is the third biggest value? (a) -3\/8 (b) 4 (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-24) + (-8)\/4 - (86\/(-4) + 21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 1446*c**2 - 7*c + 3316. Calculate b(482).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3 - 553*g**5 - 345*g**5 + 145*g**5 + 28 + 5*g + g**3 wrt g.\nAnswer: -15060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30463 - 30489. Sort 7, -3, a.\nAnswer: a, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43086 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**4 - p**4 + 0*p**4 + (-1 - 3 + 5)*(p**4 + p**4 - 3*p**4) - 12967 - p + 45*p**4 + 12967 to w*p**2 + h*p + r + s*p**4 + i*p**3 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154*50066.\nAnswer: -7710164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*v - 1044*v - 16 = 3*s, 4*v - s + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3869\/24 + 481\/3. Which is the fourth smallest value? (a) -2 (b) -1 (c) h (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 112 = 0, -688*a + 684*a = -4*i - 108 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - (-1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2826242.795 - 2820429. Let y = v + -5818.094967. Let j = y + 4.3. What is j rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7879+-52417\nAnswer: -44538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9140, 18276, 27412?\nAnswer: 36548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221102 (base 4) in base 13?\nAnswer: -a6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -86287 (base 9) to base 7\nAnswer: -325324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330.492 to the nearest ten.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 2*q - 481*q**2 + 331*q**2.\nAnswer: -150*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 5\/4, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*r**4 + 75*r**4 + 2*r**3 + 84*r**4 - 52*r**4 - 67 wrt r?\nAnswer: 580*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (2*sqrt(1100))**2 - -1*(-2*sqrt(1100) + sqrt(1100) + sqrt(1100))**2).\nAnswer: -8808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*s + 461*s + 5*r + 56 = 0, -108 = -s + 11*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d. Let r(v) be the second derivative of v**6\/360 - v**3\/2 + v. Let y(i) be the second derivative of r(i). Determine y(f(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2\/7 - 2001*p\/7 + 4014\/7 = 0. Calculate p.\nAnswer: -669, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*h + 6, -2*q = -5*q + 3. Let b = 480 - 475. Let d(x) = 4*x - 1. Let n be d(1). Solve b*u + n = 3*z, 2*z = -u - 0*z + h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 15}. What is prob of sequence mm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) 2.1 (d) -0.1 (e) 4 (f) 0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 680425 equal to 680425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 + 156*g**2 + 702*g - 2044 = 0.\nAnswer: -73, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 0.5 (c) 0.3 (d) 2.2 (e) -1\/5 (f) 21\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 - 10*h - 12. Calculate the remainder when p(12) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 203803\/14 and 14556 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16.243 - -78806\nAnswer: 78789.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11601 (base 10) in base 14?\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 11*d = -294. Calculate the greatest common factor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.38 (b) 2 (c) -9158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:25 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.6 + 72.6. Does q = -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p - 17. Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**3 + 60*l**2 - 4*l + 1. Determine f(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463.4 - 463. What is the nearest to -2\/3 in 4\/7, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 7*h + 112. Suppose 15*j = 20*j - 10. Let -118*p**2 + 118*p**j + 12*p**3 - h*p + 4*p**4 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371888171 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 13, w: 3, u: 3}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 2 + 9*f**2 + f + f**3 - 15*f**2. Suppose 11*k - 12*k = -3. Suppose -15 = -3*w, 16 - 5 = -2*p + k*w. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19356514 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + (0 - -7) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 + c + 2. Let u(t) = 4*t**3 - 18*t**2 - 64*t - 36. Let p(q) = 12*d(q) - 2*u(q). What is y in p(y) = 0?\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-266)\/12). Let a = h + -31\/133. Let l = -82\/209 - a. Is l != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6938905 to the power of 1\/2, to the nearest integer?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -19*o + 2045. Let s = o - -1034. Let i = -61249\/98 + s. Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-100)\/105))\/((-444)\/(-740)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 70*f + 3 + 18 - f**2 + 61*f to the form l*f + z*f**2 + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -379\/186 + 50\/93. Which is the second biggest value? (a) m (b) 904 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 - 13*v**3\/2 + 20*v**2 + 40*v. Let u be c(24). Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*b = 2664 - 3510 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -926 - -926.1117. Let r = -0.099 + u. Round r to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 814*m**2\/7 - 587*m\/7 - 234\/7.\nAnswer: (m - 1)*(m + 117)*(7*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 716 = -b + 2*f, 3*f = 9. Let y = 1121 + b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a - 101*a + 6*a + (0 - 3 + 1)*(-42*a + 4*a - 16*a) - 6 - 3*a + 6 in the form u*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -252705 > -252706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 47*m**3\/3 + m**2 + 3*m + 6. Let p be l(-2). Suppose -3*h = -2*h - p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*k + 161 - 114 = -180. Let i(d) = d**2 + d. Let g(v) = 32*v**2 + 4*v + 2. Give k*g(j) - 4*i(j).\nAnswer: 28*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - 7) - ((-11 - -33) + -25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 831 + 2*a + 549 - 2*a)*(17*a**3 - 51*a**2 + 51*a**2) in the form m*a**3 + h*a**2 + g*a**4 + d + p*a and give m.\nAnswer: -4794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 6. Let s be u(5). Let l = 3178\/1191 - 2\/1191. What is the third biggest value in s, -0.05, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:44 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 409*k**2 + 59*k + 60. Give z(-1).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/313 - 596\/4695. Let x = -713 + 708. What is the smallest value in a, -3\/8, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18237\/14 or -1302?\nAnswer: -1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -779. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 974*n**3 - 24801*n**2 - 144864*n + 170640 = 0. Calculate n.\nAnswer: -948, -15, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-4)\/6) - (-9 - -10). Sort u, -4, -2 in ascending order.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33*(4 - 5)*10. Let d be 44\/k + 77\/15. Solve 0 = s + 6*z - 9*z + 12, 12 = -d*s + 3*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*z**4 + 12*z + 70 with respect to z.\nAnswer: 28*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((125\/(-10))\/(-5))\/(1\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 234 and 0.02.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181616161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 2*l - 6. Let y(s) = -2*s**3 + 13*s**2 + 7*s + 65. Calculate -y(b) - 5*z(b).\nAnswer: 2*b**3 - 8*b**2 + 3*b - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6240159 + 0.22548611\nAnswer: 6240159.22548611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 12 - 2*k + k. Let o be h(-10). Let t be (-25)\/o*16\/(-10). What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + -1 + (56 - 76))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 7, -1\/2, 0, -2\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2 - 43*p**4 + 4818 - 70*p - 4818 wrt p?\nAnswer: -516*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 45. Let p = 1 + -10. Let f(t) = 6 + 5 + t + 0. Let d(s) = p*f(s) + 2*v(s). What is d(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.38 + -0.38. Let y = 18 - j. What is the third smallest value in -0.2, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*402\nAnswer: -120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.538 - -0.362. Let d = z + -1.4. What is the closest to -33 in 2, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 k when four letters picked without replacement from xkxekxxxexexkkxek.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 4*w)*(-5 - 2 - 13)*(-39*w - 9*w + 10*w)*(-2*w**2 + 0*w**2 + 3*w**2).\nAnswer: -760*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 975. List the prime factors of s.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104019336 to the power of 1\/2, to the nearest integer?\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 4*c**2 - 4*c. Let j be b(5). Let s = 10 - j. Solve -3 = -2*v + s*v, -4*v = -3*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24560\/1131 - -282\/13. Is i less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370417 and 4097?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let o(b) = 4*b - 4. Let u(t) = 2*t**2 + 39*t + 126. What is the smallest common multiple of u(-16) and o(c)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxxxxxjxxxjxxjxxxxjx. What is prob of sequence xxxx?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + f + 5. Let o(c) = c**3 + 2*c**2 - 4*c - 7. Let a be o(-3). Let g be w(a). Solve -3*u = 5*m - g, 4 = -2*u + m - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k - 1. Let z be l(-3). Let c(o) = o - 2. Let v be c(-6). Let y = v - z. Solve y*d - 5*x = 25, -2 = 2*d + 3*x - 2*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(64)*-3)\/sqrt(2))**2*-3.\nAnswer: -13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i**3 + i**2 + 4*i - 26. Let r be f(5). Which is smaller: 1772 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from kddugfl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/10)\/i**(5\/6)*i**(-1)\/i**(-2\/3))**(4\/5) assuming i is positive.\nAnswer: i**(-52\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -912265528*n**5 + 855193213*n**2 wrt n.\nAnswer: -54735931680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, l: 12}. What is prob of picking 2 q?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21965 (base 14) to base 11.\nAnswer: 561a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6 - 10. Suppose -2*f = -z*f + 4. Solve 2*j = 2*v - 3*j + f, j + 10 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 16) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-28) - 19\/4. Let r(p) = -p**2 - 6*p - 4. Let m be r(b). Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2774016 by 4816.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 18*o + 71. Let r be d(-11). What is the units digit of (-1)\/(r\/(-2792))*63\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, h: 2, r: 2, y: 5, s: 1, m: 5}. What is prob of sequence mrh?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/53*1115 - 9870\/(-261555)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*-5*(sqrt(243) + 4) + 5*(sqrt(3) + ((sqrt(27) + 1)**2 - sqrt(27))) + 1.\nAnswer: 65*sqrt(3) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 754699?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2393)\/(-5) - (2 - 24\/10). Suppose 3*l - c - 1445 = 0, 3*l - 4*l - c = -r. List the prime factors of l.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/7057 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 + 54*z**2 - 14*z - 5. Let l(w) = -9*w**3 - 108*w**2 + 24*w + 9. What is -3*l(j) - 5*o(j)?\nAnswer: 7*j**3 + 54*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352541 (base 6) in base 2?\nAnswer: -10010110100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -1.01, 10, 144, 0.4 in increasing order.\nAnswer: -1.01, 0, 0.3, 0.4, 10, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0 - -1) + 0. Let j be (-6 + 4)*(y + -1). Let p(k) = -j*k**2 + k - k**2 + 6*k**2. What is p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 832\/5 + -166. What is the closest to 0 in 0, b, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h + 1 = 78*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and -95\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 144207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46997002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00266081 to 5 decimal places.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9446533 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 26*q - 25. Let u be k(0). Which is bigger: -0.14 or u?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/8 - 53*n**2\/8 + 285*n\/4 - 117 = 0. Calculate n.\nAnswer: 2, 12, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 2236, 7525, 17820, 34789?\nAnswer: 60100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (12 - (14 + -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-346)\/1038*(2 + -4 - (-4)\/14). Put a, -2\/7, 6 in decreasing order.\nAnswer: 6, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840497813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/2))**(-1\/25)*(g**(2\/11)*g)\/g**1*((g**0\/g)**(-25))**(-19\/4) assuming g is positive.\nAnswer: g**(-130491\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.031\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(((-21)\/(-2))\/(-7)). Let a(c) be the second derivative of 0 - c - f*c**3 + c**2. Differentiate a(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 4*f + 280 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1704 and -109\/276048.\nAnswer: 276048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 1 (c) -4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -51770000 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4808963 by 29.\nAnswer: -4808963\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4408)\/(-40) - 1\/5. Suppose 2*r + 10 = 0, 4*r - 2 = -4*h + f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6597386 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276*d - 67*d**2 - 276*d)*(-7*d + 3*d - 6*d + (2*d + 0*d + 0*d)*(1 + 3 - 2) + 3*d - 2*d - 2*d).\nAnswer: 469*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**2*p*v - 29*n**2*p + 84*n*p*v - 510*p*v - v + 123 wrt n.\nAnswer: 2*n*p*v - 58*n*p + 84*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r - 5 - 22*r + 61*r - 19*r - 12*r. What is b(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215815 divided by 1063\nAnswer: 215815\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 5*d - 10. Let s be l(-8). Suppose -41 + s = r. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*q**2 + 93*q**2 + 1123*q + 251*q**2 + 126*q**2 wrt q?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97335 and 43260.\nAnswer: 389340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 + 2*j + 3. Let w be h(-2). Let d = 0 - w. Let b be 2*1\/2 + 12. What is the greatest common factor of b and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -712?\nAnswer: -71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 22 = -2*w. Let k(l) = l**2 + 3*l. Calculate k(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 236\/(-13) + (-14)\/(-91). Let g be (l\/27)\/((-4)\/42). Suppose 0 = 3*t + 4*w - 2363, -3*t - 3138 = -g*t + w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -15*m - 11816. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o\/o**(1\/13))**(4\/9) assuming o is positive.\nAnswer: o**(344\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9777769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11630 - -20776. Suppose -5*f + t = -23594. Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/161)\/((-1)\/(-87157)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -3585.\nAnswer: -3585.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 3:41 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5794*o*r**2*x**2 - 17*o*r**2 + 7*o*x**2 - 8*o + 20*r wrt x?\nAnswer: 11588*o*r**2*x + 14*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**12*c**(-4\/7))\/(c**2)**(-29))**(-11))**7 assuming c is positive.\nAnswer: c**(-5346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 14300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:47 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-12) - (-28)\/(-6). Let m(r) = -10*r - 15. Let h be m(-1). Put 2, h, j, 3 in descending order.\nAnswer: 3, 2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366895?\nAnswer: 5, 73379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6 + 120198343.\nAnswer: 120198339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*56\/516*96\/1120\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*1)\/(sqrt(5) + -3*sqrt(45)) - -4*(-1 + 3 + (sqrt(2) + sqrt(8) + sqrt(2))**2 + -4).\nAnswer: -5*sqrt(2)\/8 + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.48 in 0.2, -1163, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 7 + 2, -3 = -4*f - 3*r. Let z = 5 - f. Suppose 4*n - 101 = -c, -z*n + 4*c = c - 61. What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and 528841596.\nAnswer: 528841595.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2112324 and 768.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inidiiidildldiidinii. What is prob of sequence lni?\nAnswer: 11\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929432?\nAnswer: 2, 7, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000346983 to six dps.\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681808669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 3 (b) -5 (c) 1.3 (d) 2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010110100111100000010 - 1?\nAnswer: -110001010110100111100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 + 275*c + 133\/3*c**2 - 1\/3*c**3 = 0. What is c?\nAnswer: -3, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53 plus -0.1290794?\nAnswer: -1.6590794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562 by 125.\nAnswer: 562\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 38. Calculate the smallest common multiple of n and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d\/d**(-9)*d)\/d)*d)*d\/d**(1\/3))\/(d*d**(-2)\/d)**(-7\/4))**49 assuming d is positive.\nAnswer: d**(1813\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 5*n**2 + 3*n - 2. Let s be u(5). Let m = -468 - -479. Let p(h) = -m*h - 3 + s*h + 3. Let t(j) = -3*j**2. Calculate p(t(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u + 11. Let f(y) = -4*y - 11. Calculate -4*f(w) - 5*p(w).\nAnswer: w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 8*f - 26\/3.\nAnswer: 2*(f - 1)*(f + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2540, -2539, -2536, -2531, -2524?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, b: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 6 = 0. Suppose -1 = 3*m + 5*g + 1, c*m - 6 = 3*g. Let i(a) = 14*a**3 - 2*a**2 + 2*a - 1. Does 13 divide i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/2520 + t**6\/144 - t**5\/20 + 8*t**4\/3 + t**3\/6 - 2*t**2 + 5*t. Let b(w) be the second derivative of z(w). Factor b(c).\nAnswer: -(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 + (-1 - -2). Suppose v = -2*g + 8 + 1, -4*v = -g + 18. Let x = z + g. What is the lowest common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-one halves of a microgram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 59*x**2 - 15*x - 39. Let l be g(62). Round l to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 74390000 to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1412 or 1413?\nAnswer: 1413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/10 + 21*f**3\/2 - 504*f**2\/5 - 1222*f\/5 = 0. Calculate f.\nAnswer: -2, 0, 13, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 1\/2 (b) -3\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/3 - 11648*d\/3 + 11647\/3 = 0?\nAnswer: 1, 11647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, 1255, 5228, 10791, 17944, 26687, 37020?\nAnswer: 48943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 - 11 = -3*j, j + c - 18 = 0. Suppose 0*u - u = 5*l + 3, -3*l - 2*u - 6 = 0. Calculate the remainder when (l - -48)*6\/12 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d - 163. Let x be u(15). Factor 35225 + 200*a**3 - 5*a**4 + 7840*a - 5422 - 2363 - 2520*a**x.\nAnswer: -5*(a - 14)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 90, 140, 194?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*w, 9*x - 13 = 8*x - 2*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.443 rounded to zero dps?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10823, -10582, -10341?\nAnswer: -10100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18730, 18740, 18762, 18802, 18866?\n\"Answer: a**3 + 3*a + 18726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 2\/5 (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/24 + (-44)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q - 108. Let b(k) = -5*k - 101. Calculate -5*b(y) + 4*r(y).\nAnswer: -11*y + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 27227 = h, -5*h + 189928 = -b + 53805. Suppose c = 21*o - 19*o - 54444, -o + h = c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 5. Let b be (5 - 3 - 1) + 6. Suppose 0 = 6*m + b - 103. Calculate the greatest common factor of m and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, y: 1, q: 2, l: 1, p: 7}. Give prob of sequence ly.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 2. Let p(k) = -3*k + 3*k + k**o. Let l(v) be the second derivative of v**4\/6 - 761*v. Calculate p(l(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.51 + -11.48. Put -5, h, -3 in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/24 + -3)\/(2\/(-24)). Let w be 0 - (a - 4) - -1 - -26. Let j = 9 + -6. What is the greatest common factor of j and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 2*l = 48, -9 + 3 = 2*m - 4*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) - (-12)\/(-540).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + g**2. Suppose 0 = -66*v + 67*v - 1. Let f be j(v). Put -3, f, -2 in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1372) + sqrt(1372)*1 + 5)*1)**2 + -1.\nAnswer: -33079 - 1680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = 5*m - 9, 2*m = 0. Let j be 4\/k - (0 - -1). Which is the nearest to -1? (a) -0.2 (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 33002?\nAnswer: 32313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20804 = 49*z - 51*z, -4*z + 4*i = -41612. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490676003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.22 * -0.07.\nAnswer: -0.2254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 412756 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Let f be (l - -2)\/((-4)\/(-24)). Suppose -9*u + 5*u = -f. Solve u*c - 16 = 7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flsflllfslfsl. What is prob of sequence ffsl?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 59149 and 59149 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-921)\/(-1) - 1)*(8 - (40 - 35)). Calculate the highest common factor of 1242 and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**3 + 33*k**2 - 74*k + 7. Calculate j(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 6. Let c be k(-2). Solve -c = 4*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**5*n))*n*n\/(n*n*n**(-4)*n*n)*n**0*n\/n**(-13))**(6\/5) assuming n is positive.\nAnswer: n**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*g + 33, -16 = -5*q - g - 1. Let o = -183 + 187. Calculate the lowest common multiple of ((-5)\/(-5))\/(1\/q) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 3906\nAnswer: -10\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21150 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 27945 - 81*l**2 + 2*l**4 + 27945 - l**3 - 62*l**2 in the form z*l**3 + v*l**2 + n*l + g*l**4 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 6*h + 15. Let i be b(10). Let y = -16 - i. What is the remainder when 24 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/40 + (-6)\/(-45)*3. What is the second smallest value in 1\/6, b, 1\/4, 6\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 + -115. Let q be (-2)\/2*(w + -5)\/(-3). Suppose -a = d - 2, -5*a + 17 = d - 3*d. Calculate the greatest common divisor of a and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5f (base 16) in base 11?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71493\/20 + 3576. What is the common denominator of r and 26*(-35)\/(-40)*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 0.3, 0.023 in decreasing order.\nAnswer: 4, 0.3, 0.023, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Suppose 2*n = -m + 5 + 4, 0 = -s*m + 3*n + 9. Solve 7 + 18 = m*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 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*t + 96115 = 0, -3*g - 3*t + 5*t = -144144. Suppose -20 = 5*f, d - 3*f + 403 = g. Suppose -m = 4*m - d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6659583 minus 5382500?\nAnswer: -12042083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 2. Let w be r(-4). Suppose 6*s + 4*x = s + 8, -6 = -w*s - 3*x. Let k(d) = -d**3 - d**2 + 5. Determine k(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 113. Let b = 10 + -7. Solve 2*q - b*s + s + 2 = l, -2*s = q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-11 + 9) - -7 - 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26011294 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 5*h**4\/24 + h**2 - 2*h. Let q(r) be the second derivative of 0*r**3 + 0 + 4*r + 0*r**2 - 1\/12*r**4. Determine x(q(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + l - 3. Let u be z(-2). Let c be 2\/(u\/(-3)*1). What is the nearest to -2\/5 in 1, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 8*q + 4*q**2 + 3*q**2 - 4*q**2. Let l(m) = 3*m**2 - 17*m + 1. Let d(a) = 5*c(a) - 2*l(a). Let n be d(-5). Solve -n*s - 2 = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3*j + 1. Let s be v(-3). List the prime factors of s*9*(3 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -240*l**3 - 2*l**2 + 1. Let y be o(-1). Suppose -y + 629 = 5*j. Suppose 398 = 5*h + j. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -421*a**3\/2 - 916*a**2 + a - 295. What is the first derivative of l(u) wrt u?\nAnswer: -1263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 186, 303, 490, 771, 1170, 1711, 2418?\nAnswer: 3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(2\/5)\/o))*o)**(3\/26) assuming o is positive.\nAnswer: o**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 183840?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 30 = -19*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + l. Let q be v(-3). Let f = q - 6. Suppose -u = -1, -t + 2*t - 3*u - 10 = f. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45969*r - 45728*r + 482 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*n = 3*a + 1215, 3*a = n + 3689. Suppose 209 + a = 8*i. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {h: 3, w: 3, u: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-36 + 42 - (-2 - 17)) + -5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/15)\/(2\/18). Find the third derivative of 5*l**y + l**2 - 7*l**6 + 2*l - 2*l wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42365102 + 23?\nAnswer: 42365125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -371*u + 5. Let f(y) = 55836*y - 752. Calculate -5*f(b) - 752*i(b).\nAnswer: -188*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**2*l)*l*(l\/(l**(-8)\/l))\/l)\/(l*l*(l\/(l*l**(-5)*l*l))\/l*l**(-2)\/l))**(-20\/3) assuming l is positive.\nAnswer: l**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 7*g**2 + 2*g - 6. Let d(w) be the third derivative of -w**6\/120 + w**5\/10 + w**4\/12 - 5*w**3\/6 + 77*w**2. Calculate -6*d(n) + 5*i(n).\nAnswer: n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 31*a**2 - 15*a**2 + 7 - 26*a**2 - 18*a**2 + 49*a**2 + 6*a - 16*a**2. Suppose -4*x + 2 = 58. Let y(i) = 2*i**2 + 3*i + 3. Calculate x*y(m) + 6*n(m).\nAnswer: 2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 41, 82, 151, 254, 397, 586?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57158 and 10.\nAnswer: 285790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 16*h + 19. Suppose 0 = 6*q - 5*q - 4*r + 9, r - 83 = 5*q. Let l be a(q). Solve -l*b = b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18*l**2. Let i(n) = 345*n + 310*n - 687*n. What is k(i(v))?\nAnswer: -18432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420371958?\nAnswer: 2, 3, 70061993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -500 in decreasing order.\nAnswer: 5, -1, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 3*c**7\/1400 + c**6\/120 + c**5\/100 + c**3 + 3. Let d(o) be the third derivative of s(o). Solve d(q) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**8\/6720 + k**6\/720 + 5*k**4\/24 - 6*k**2. Let t(j) be the second derivative of b(j). Determine p so that t(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -780.94523402 + 805.245236. Let w = q + -24.3. What is w rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/14673 and 49\/15987?\nAnswer: 1071129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28726235 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/163429 and -15\/109163.\nAnswer: 28273217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -10*m + 54. Suppose -2*a - m*p + 8 = -0, -2*a + 12 = 2*p. Let x(o) = 10*o - 2. What is the remainder when x(5) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -324\/797677?\nAnswer: -324\/797677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3356, -13858, -31348, -55832, -87316, -125806?\n\"Answer: -l**3 - 3488*l**2 - 31*l + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 + 94. Let h(y) be the second derivative of 1\/15*y**3 - 3*y - 1\/50*y**5 + 0 + 1\/6*y**4 - 1\/25*y**6 - 2\/5*y**c. Find o, given that h(o) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1431 divide 65088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, 1\/7, -0.17, 0.3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3\/2 - 7*b**2\/2 + 14*b. Calculate r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 422?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.87 + -16.67. Let b = 4 + k. Round b to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 12:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 0.08 (b) -1\/2 (c) -0.3 (d) -5\/2 (e) 0.063\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p**2 + 14*p + 127. Let a(t) = 5*t**2 - 5*t - 42. Let n(v) = 11*a(v) + 4*r(v). Let k be n(0). Factor -3*c**2 + 6*c + 46 - k.\nAnswer: -3*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12863, -26565, -40267, -53969, -67671?\n\"Answer: -13702*w + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -9 + -3 + 11 + 0 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740064 is divided by 12429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (525\/18)\/(-7). Let c(i) be the second derivative of -i**2 - 2*i - h*i**4 + 0*i**3 + 0. Differentiate c(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1672742643 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2310 (base 4) to base 13\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4835 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1499*b**3*q**2 + b**3*q + 2*b**2*q**2 - 28*b*q + 2*b wrt q?\nAnswer: 2998*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1019*v + 5 + 1023*v - 15. Calculate the remainder when y(3) is divided by (-4)\/(-14) + (-10)\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Solve -k*x = 5*o + 12, 4*o - 3*o = -4*x - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 31171 and 31170 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22941 + 221*r + 153*r - 22941.\nAnswer: 374*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*k*m**3 - 2*k*m**2 + 57436*k*m + k - 29081*m**3 - 14*m**2 + m wrt m?\nAnswer: -372*k - 174486","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1411 (base 8) in base 9?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 580\/(-5) + -3 + (0 - 1). Calculate the common denominator of -79\/16 and (8\/w)\/((-8)\/122).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -236. Let b = -55 - g. What is the remainder when b is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1056 and -17\/1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 136*w**2\/5 - 206*w\/5 - 12 = 0.\nAnswer: -1, -2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:11 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856035871 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 1187*z - 4746. Calculate h(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g**2 + g + 18*g**2 - 25*g**2 + 21*g**2 + (-2*g + 5*g - 4*g)*(-9*g + 11 - 11) in the form u + v*g**2 + z*g and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 11*h + 8. Give f(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -0.17.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01033039107 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 29*q + 7. What are the prime factors of u(-12)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a week?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {a: 1, d: 1, i: 1, j: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 206 = -4*r - 0*r, 0 = r + 3*o - 55. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106536412 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-3))\/((-32)\/96). Let v = -111\/5 + b. What is the second smallest value in -3, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 38*v + 11. Let r(x) = x**2 - 13*x + 4. Let g(a) = -a**3 + 67*a**2 + 135*a + 199. Let y be g(69). Calculate y*r(c) + 3*f(c).\nAnswer: -2*c**2 - 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 8\/47, -1, 0.2?\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jxmfffljmxmifxfxxfj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58108905 and 2745?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 502 - 503. Which is the closest to 2? (a) 2 (b) o (c) -4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u + 3*b, 0 = -2*u + 30*b - 33*b + 9. Solve -21 = -y + 4*p, -4*y + 8*y + u*p = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(-3)*((-211)\/(7807\/888))\/(-8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d + d)*(43 - 88 + 46 - 129*d).\nAnswer: -774*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -603 + 602.7. Let f be (-13 - -5)*(-1)\/2. Suppose -2 + 10 = -f*q. What is the third biggest value in i, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -79, 5 in descending order.\nAnswer: 5, 1, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 2\/11, 1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -31*h**2 + 37\/60*h**6 + h + 0*h**3 + 0 + 0*h**5 + 79\/12*h**4. Find the second derivative of t(q) wrt q.\nAnswer: 444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56994869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*4\/(-24))\/((-12)\/(-1380)*5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 + 4*w + 2. Let q = 2 - -1. Let r(h) = -1 + 2 + q*h + 3*h**2 - h. What is 4*d(f) - 9*r(f)?\nAnswer: f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*m + 176*m - 12714. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 1 - (58 + (-117 - -44)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 - -1)*-43. Let v = -1644 + 1650. Let d = v - c. What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-6))\/(45\/(-54)). Find the third derivative of -3 + 7 + 7*p**v + 12*p**4 - 4 wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 19*w - 8. Let v be -21*(-4)\/(-24)*2. Let u(h) = -58*h + 28. Let j(k) = v*y(k) - 2*u(k). Let c = 14 + -15. Determine j(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000010100001 (base 2) to base 3.\nAnswer: -2201021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1423992196.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904292 to the power of 1\/2, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/25 - 244\/225. Put -1, 2\/11, -2\/5, r in decreasing order.\nAnswer: 2\/11, -2\/5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(-21)\/((-147)\/56)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131575207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - o + 0)*(9 + 43 - 4).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-32)\/48). Suppose 2 = -k + 1. Put 0, -0.3, f, k in descending order.\nAnswer: 0, -0.3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3c95?\nAnswer: 3c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t**2 - t)*(12*t + 8*t - 15*t) + 1280*t**2 + 0*t**3 - 1278*t**2 + t**3 to v*t + w*t**2 + n*t**3 + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 + -2)\/((-12)\/(-528)). What is the greatest common factor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*u - 4*a - a, -4*a = 8. Let s be 4*((-12)\/(-21))\/((-438)\/(-1533)). Solve 4*q - u = -s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3972089 micrometers?\nAnswer: 0.00003972089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k**2 - 46*k**2 - 22*k**2.\nAnswer: -101*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676960 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 221698.9851199 and -0.9?\nAnswer: 221699.8851199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 18*y + 75. Let t(h) = -h**3 + 24*h**2 + 25*h - 4. Let a be t(25). Let z be w(a). Solve 0 = -z*d - 3*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405120628 to the power of 1\/2, to the nearest integer?\nAnswer: 20128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**9\/8 + r**5\/30 - 13*r**4\/24 - 2*r**2 + 15*r. What is the third derivative of i(w) wrt w?\nAnswer: -7560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.477, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*q - 1485 = 54*q + 95*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n*p**2 + 725*n + 2*p**2 + 424575*p - 2254 wrt p.\nAnswer: 6*n*p + 4*p + 424575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1092 - 3?\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 23*z**3 + 62*z**2 - 1136*z - 5376 = 0. What is z?\nAnswer: -16, -8, -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 16*p - 19. Let d be f(6). What is the third derivative of 69*c**3 - 69*c**3 - d*c**4 - c**2 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.729166 litres to millilitres.\nAnswer: 9729.166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*55\/44)\/((-10)\/25)*-4\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 0*r + 87*r**3 + 91*r**3 + 8 + 140*r**3 - 323*r**3 as q*r**2 + h + w*r**3 + p*r and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538 by -750.\nAnswer: -269\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + -6. Let k be (-30)\/(-4)*f\/(-24). Suppose -3*j - o + k*o + 105 = 0, -5*j - o = -152. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4906 + -2647. Suppose 18*r - 8235 = -x. Suppose r = -17*a + 19*a. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 - z - 236*z**3 - 395 + z + 468*z**3 - 239*z**3.\nAnswer: -7*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let g(y) = 10261*y**2 - 7*y + 957. Give g(v(s)).\nAnswer: 41044*s**2 + 14*s + 957","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221343 - -115?\nAnswer: 221502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ataaaaauataaaa. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 5*p**4\/4 + 2*p**3\/3 - 3*p**2\/2 - p - 1. Let a be q(4). Suppose 2*h + h = a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54365507?\nAnswer: 7, 17, 409, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.3 + 13.7. Let u = -79 + n. Which is the fourth smallest value? (a) 1\/5 (b) -3 (c) -11 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-4) + (-543)\/(-12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let h be b(2). Let m = -179 - -213. Suppose 3*j + m = h*g + 1, -2*g + 12 = 4*j. Calculate the highest common divisor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) - (-3)\/(-12). Suppose -2*h + 13 = m, -h - 8 = -5*m + 2. Let a = h - z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1*sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931) + 4 + -4)*2)**2*4*-3.\nAnswer: -179184 - 4032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -1 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 7. Let w(u) = -10 - 2*u - 1 - 5 + 3. What is -11*o(l) + 6*w(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -2*109 - -2. Suppose -2*r - t = -7*r. Let d be 0\/2*22\/r. Solve 7*n - 3*n + 8 = d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96770 + 96769.99999940619. What is r rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -7. Let c be (-959)\/(-10) + 1\/(-2). Let i = c - 95. Is i at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -794689 at least -794674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91084376 and 2?\nAnswer: 91084376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -38. Let b(f) = f**2 + 5*f + 4. Let t be b(y). What is the tens digit of (-5)\/10*t + 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132553564 + -4?\nAnswer: 132553560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101101212012012111 - 2?\nAnswer: 101101212012012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 12. Let x be u(3). Let l be x\/(-3)*-3*1\/5. Let -3*a - 21\/5*a**2 - 9\/5*a**3 - l = 0. Calculate a.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j + 1. Let f be b(1). Suppose 5*r + 9 = m, -5*r - m + 0 = f. Put 5, 2, 1, r in decreasing order.\nAnswer: 5, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(256\/(-420))*(-148)\/(-111)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1976611 and 490?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 604, 2153, 5174, 10159?\n\"Answer: 82*b**3 - 2*b**2 + b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*r = 80439 + 36007 + 88914. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 102*u**2 - 425*u - 3465. Give h(-37).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5438 + -842886\/155. Let r = 5799\/2480 - t. Find the common denominator of r and (-1)\/(15\/9 + (-291)\/207).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 19883549.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8802 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 345169150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 - 8*k - 13. Let q be o(9). Let a = -9 + 13. Let v(u) = -1 + u**2 + a*u - 1 + 2. Calculate v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d - 46*d + 26*d - 2)*(1 - 1 + 2*d).\nAnswer: 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64619 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 - t - 30. Let q be p(-10). Let b(m) = 2*m**2 - 10*m - 5. Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 3) to base 13\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:26 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1 - 51 - 48*p**2 + 7*p + 22*p**2 - p**3 + 22*p**2 + 6*p. Let u be s(7). Is u greater than or equal to -497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3499 (base 13) to base 10\nAnswer: -7393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -48, -4, 2, -3 in increasing order.\nAnswer: -48, -4, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*2\/(-8) + (-11)\/((-22)\/(-8)). Let d = 20984\/59551 + 2\/3503. Let b = -27\/68 - d. What is the nearest to 1\/4 in x, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**2 + 2*k + 63. Let r be q(0). What is the greatest common divisor of r and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:15 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-20)*(-5)\/2. Suppose b - 4*x - 8 = -y*b, 5*x - 14 = b. Solve -k + b = r, 2*r + r - 2*k = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1886531947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 20. Suppose 1003*b + 4*h + 160 = 1006*b, -146 = -3*b + 2*h. What is the least common multiple of b and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1806 + -1802. Which is the second smallest value? (a) v (b) -5 (c) 62 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693703639 to the power of 1\/2, to the nearest integer?\nAnswer: 41155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176 is divided by 1451.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2914, 18, -3, -5, 0, 4, 2 in ascending order.\nAnswer: -5, -3, 0, 2, 4, 18, 2914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45470 - -317?\nAnswer: 45787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 + 25*d + 427. Determine j(13).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -6)*(1 - 42\/12). Let g = n - -542. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y - 4. Suppose 3 = -5*u - 2. What is the smallest common multiple of b(-4) and (-2)\/u + (-1 - -17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16358 - 16139.09. Let s = -218 + r. What is s rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-2)\/(1*-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from ccgcmcckpcpgpkkcpvck.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/((-2310)\/(-455))*1\/(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 229, 983, 2259, 4057, 6377?\n\"Answer: 261*o**2 - 29*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**(-29) assuming u is positive.\nAnswer: u**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 2*r**2 + 3*r + 4. Let w be -1*2\/(4\/(-6)). What is the units digit of n(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 - 122. Let w = t - 86. What is the remainder when 42 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 1\/5*q**3 + 6\/5*q + 6 - 9\/10*q**2. Factor v(l).\nAnswer: 3*(l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (-3 - (0 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110101011011 (base 2) to base 16\nAnswer: d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59188 - 15.\nAnswer: -15.59188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13\/6)\/p*p)\/((p\/p**2)\/p)*p\/(p\/(p*p\/(p\/(p**(-15\/2)\/p))*p))*p**(-36) assuming p is positive.\nAnswer: p**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1636\/6 - 5\/(-15). Suppose 2*b - 3*b = -d. Let o = b + -188. Calculate the highest common divisor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2100*r**3 - 24*r**2 + 374875 wrt r.\nAnswer: 6300*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 662 - 986. Let z = 324.00343 + m. Round z to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027631766 rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewkuj. Give prob of sequence jwk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let u(p) = 2*p**3 + 6*p. Let c(f) = 6*h(f) + u(f). Let s(i) = 5*i**3 - i - 1. Determine -4*c(k) + 2*s(k).\nAnswer: 2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 603\/5 + -121. Let w = 2.086 - 0.086. What is the closest to -0.1 in v, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*2*-1)\/((-36)\/54). Suppose l*z = 5*z - 40. Suppose -32 = -z*p + 16*p. What is the remainder when 38 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5518750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328432423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1264*f**3 - 22*f + 1. What are the prime factors of s(3)?\nAnswer: 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 54. Let y be 146\/(-2)*(-3 + 3 - s). Let c = y - -982. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3103 = 13*b - 3293. Let n = -474 + b. Let q(g) = g + 1. Let c be q(4). Solve -2*o - 2*s + n = 2*o, 27 = o + c*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 2. What is the derivative of j - 13*h**4 - 8 - 2 wrt h?\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 306 + 120. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w + 15. Let k be r(4). Let x(d) = 8*d - 1. Let m be x(1). Solve 0 = -2*o + 3*a - m, -4*o + 1 = 4*a - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21668 and 268.\nAnswer: 1451756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 - 192. Let m = 20 - 15. Find the third derivative of -14*v**2 + u*v**6 + 1635*v**5 - 1635*v**m wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16dd5 (base 14) to base 3.\nAnswer: -2221000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {m: 2, h: 3, k: 1, r: 3, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43149239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 - 73. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394797 - 80698. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 6. Let o be 33\/7 + 99\/(-21) + 5. What is g(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/9 + 852*l - 1633284.\nAnswer: -(l - 3834)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474233?\nAnswer: 97, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/((-2)\/(-5)). Let a be (-11 - 55\/(-5))\/((-147)\/21). Put 2, d, a in descending order.\nAnswer: 2, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10. Suppose x*n = n - 8. Solve 2*d - 28 = 4*o - n, 0 = -4*d + 4*o + 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5351428 micrograms to tonnes.\nAnswer: 0.0000000000005351428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 - 1)*(2 - 2 + 1) + (29 - 57 + 16)*(-6 + 0 + 2))*(-7 + y**2 + 6 + 0) in the form m + z*y**2 + w*y and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -2, -2\/305, 49\/3 in ascending order.\nAnswer: -2, -2\/305, 49\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(4*(sqrt(85) + 5*sqrt(85))\/sqrt(5)*-1*-1)**2.\nAnswer: 29375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = v - 3*t, -2*v = 3*t - 17. What are the prime factors of v*(-1 - 26\/(-14))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -4276153.\nAnswer: 29933071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.1 (c) 68 (d) 2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2801072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/75)\/(-4))\/((-2)\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*n - 3*n + 3*n)*(0 + 1 + 0) + (6 - 16 + 100)*(13*n + 6*n - 3*n) to the form b + j*n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 40*h**2 - 64*h - 39. What is the units digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14868886 times 0.1?\nAnswer: 1486888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 15) to base 16.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 6 = n. Suppose 0 = -2*d + 39 + n. Suppose 43*z = d*z - 156. Does 52 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 9 - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 76\/64875, -3\/8, -8?\nAnswer: 76\/64875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2258*m - 4 - 6225*m + 5.\nAnswer: -8483*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.06118729 * 8\nAnswer: 0.48949832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/24 + p**3\/6 + 3*p**2 - 6*p. Let n(r) = 3*r - 3. Give -n(l) - 4*s(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {t: 7, b: 1, j: 5, h: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7992)\/(-21)*26\/(4394\/(-91)). Is o less than or equal to -206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*q + 72. Calculate the remainder when q is divided by 19 + -4 + (-20 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 43 - 47 = 0. Solve 0*a = -5*a - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/25 - 214*d**2\/5 + 11564*d\/25 - 18864\/25.\nAnswer: 2*(d - 524)*(d - 9)*(d - 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2. Suppose -3*g - 57 = 33. Let q(f) = -2*f**4 - 25*f**2. Let o(x) = g*m(x) + 5*q(x). What is the third derivative of o(i) wrt i?\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (485*z**2 - z - 1 - 2 - 526*z**2)*(2*z + 4*z - 4*z).\nAnswer: -82*z**3 - 2*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(117)*-1 + sqrt(117))\/(sqrt(9) - -1*sqrt(27)\/sqrt(3)) - (sqrt(234)\/sqrt(81))\/(sqrt(6)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: 637\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*l - 209*l - 154*l)*(3*l**2 - l**2 - 7 + 1) to the form j + q*l + x*l**2 + y*l**3 and give y.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40692 + 40694. Factor 0 + 5\/9*l**3 - 2\/3*l + 13\/9*l**v.\nAnswer: l*(l + 3)*(5*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*a - 180 = 175*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 6*r - 9. What is the remainder when m(8) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -5, -184 in ascending order.\nAnswer: -184, -5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 13) to base 14\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146*u**2 + 3*u - 670*u**2 - 807*u**2 - 671*u**2 - 3*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(16)\/(sqrt(2) - sqrt(32)) + sqrt(8)) - sqrt(8))\/(sqrt(16) - sqrt(144)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + -15. Let z = -104 - o. Let m = z + 52.0077. Round m to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 2\/3*o**3 + 0*o**2 + 23*o + 0. Let f(g) be the third derivative of g**4\/8 - 24*g**2. Calculate f(x(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 2304.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114*b - 686*b**2 + 157*b + 362 - 271*b wrt b?\nAnswer: -1372*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8301921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*o - d, -4*o + 5 - 4 = 3*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*a. Suppose 3*t - i + 9 = a, 0 = -0*t - 4*t - i - 19. Let c(f) = 2*f**2 + 7*f + 7. Does 3 divide c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, s: 1, b: 6, g: 1}. Give prob of picking 2 l.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 384*o**2. Let u(d) = 2091*d. Give u(b(g)).\nAnswer: 802944*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Let h(s) be the second derivative of s**6\/360 - s**3\/2 + 6*s. Let n(c) be the second derivative of h(c). Give n(v(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:46 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 162*a**3*c - 3*a**3*g*i + 566*a**3 - 590317*a*c*g + 6*a*i + 4*g*i wrt g?\nAnswer: -3*a**3*i - 590317*a*c + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 61704464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 5205.6?\nAnswer: 15616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17\/3)*v**(-20)*v**(-11)\/v**11 assuming v is positive.\nAnswer: v**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfyfcgyucxfy. What is prob of picking 1 x and 1 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/21 + 262\/14. Let w(f) = f**2 - 7*f - 44. Let u be w(10). Let k = r + u. What is the least common multiple of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -39*a**3 - 7*a**2 - 7*a - 1. Determine u(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2. Let l be v(3). Let f = l + 35. Suppose -5*g = -f*g + 534. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1698103 + 249.\nAnswer: -1697854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 67*i**3 + i**3 - 103*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 572 - 572.13. Sort -1\/8, y, 3\/7 in ascending order.\nAnswer: y, -1\/8, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 13*s - 9. Let p(r) = -2*r**2 + 12*r - 9. Let d(k) = -4*c(k) + 5*p(k). Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 102. Let k be (-2)\/(-5) - 18\/70. What is the nearest to -2\/9 in f, -1\/6, k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27649421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -206093678 and 0.2?\nAnswer: 206093678.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 5*x = 12*f - 25, -2*x = 10. Which is the third biggest value? (a) 1\/2 (b) f (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 10:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*20.03717.\nAnswer: 8.014868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/16824 and -37\/67296?\nAnswer: 67296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggpgeeeeeepeg. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76733 + 76733 - 4355*j - 4991*j to the form s + x*j and give x.\nAnswer: -9346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*t + 414*t - 85 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140276 is divided by 308.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 + -426. Let y = -212 - w. Let m = 0.1 + 0.4. Which is the second biggest value? (a) y (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28166 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {b: 1, f: 4, r: 1, c: 1, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = 6. Let x be (8\/16)\/(h\/(-12)). Sort -5, 3, x in descending order.\nAnswer: 3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (170\/25)\/((-2)\/(-5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffpfppppffppppppp. What is prob of picking 2 p and 2 f?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 - 38031*s**4 + 15*s**2 + 13969259*s wrt s.\nAnswer: -40*s**3 - 456372*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/3 greater than or equal to 0.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**5 - 27715*z**4 - 6*z**2 - 103720777*z wrt z?\nAnswer: 80*z**3 - 332580*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 453*b - 450*b + w - 16, -4*b = w - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245668901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*u - 1. Let b = -360 + 359.9. What is the closest to b in 5, u, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -163201*o*r - 23*r + 2179 wrt o?\nAnswer: -163201*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -721, -1069, -1409, -1741, -2065, -2381?\nAnswer: -2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 69830*o - 69836*o + 336 = 0, 5*y - 98 = -10*o + 422 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + z + 18 = r, 5*z - 10 = -5*r. Solve -2*k = -r*w + 8, -w + 2*k = -0*w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 6194 = u. What is the remainder when u is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + 4*sqrt(1331))*-4)**2.\nAnswer: 2816*sqrt(11) + 340800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*c**3 + 44\/13*c**2 + 48\/13 - 94\/13*c.\nAnswer: 2*(c - 1)**2*(c + 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Let i(m) = -m**2 - 6*m - 4. Let f be i(y). Let w = 1 - f. Sort -3, 5, w in descending order.\nAnswer: 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858 - ((-1)\/(-6) - 285\/90).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.23 + 0.23. Let q = 12 - 10.3. Let l = -2 + q. Which is the biggest value? (a) m (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51849 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2103? (a) 0.94 (b) 16 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*o + 1 - 2, o = 4*m - 3. What is the smallest common multiple of ((-16)\/20)\/(m\/((-5)\/2)) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*m + 1198 = 0, 915 = -2*h - 2*m + 319. Let k = h - -512. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.329408743 to three decimal places.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 58*f**2 - 238*f + 7423. Determine l(56).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Sort -5, -3, 1\/4, v in decreasing order.\nAnswer: v, 1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 13\/3. Let n = 3 - g. Let v be n*(-5)\/((-475)\/10). Is 4 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 12. Let h(m) = m**2 + 3*m + 3. Suppose -14 - 2 = 4*x. Calculate the remainder when v is divided by h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*w + 10*x - 12, 10 = -2*w + 3*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*n - 10738 = -1106, 5*n - 9659 = -4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 - 175. Let k = 95.3 - m. Sort k, -1, 4 in ascending order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-1) - (-4 + (-12)\/2 + -37 + 36).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920095.\nAnswer: 5, 11, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 908, -0.14, 4, -2\/5, 3\/31?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 11, 36, -603 in increasing order.\nAnswer: -603, -0.3, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1 - (-2)\/(-8)*0. Suppose 4*w - 5*m - 27 - 72 = f, -w - 2*m = -28. Solve w - 1 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111\/4 + -28. Let y be (-2)\/96*(-236)\/15. Let r = y - 11\/20. Which is the closest to j? (a) 4 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.6784 months to years.\nAnswer: 13.9732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 + 163. Let w(g) = -4*g**2 - 26*g - 10. Let s be w(u). Solve v = 2 + s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -152511174 and -152511174 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1217, -11, 1989, 4777, 8347, 12693, 17809, 23689?\nAnswer: 30327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170 + 170 - 10*s)*(1 + 2 - 4) + (21*s + 671 - 671)*((7 - 3 - 2)*(-2 + 1 - 1) + 0 + 0 - 2) in the form k + n*s and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 divided by -302?\nAnswer: -333\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, g: 3, q: 3}. What is prob of sequence ggkk?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 228, 5, 4, -13, 16, 3 in descending order.\nAnswer: 228, 16, 5, 4, 3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1531*c**2. Let h(f) = -15*f**2. Determine h(b(p)).\nAnswer: -35159415*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/20 + 235*f**2. Let a(r) = 7*r + 8. Determine l(a(v)).\nAnswer: -147*v**2 - 336*v - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 2*k + 4. Let i be l(-4). Let y be (-2)\/i - (-12)\/(-54). Let z = 0.02 + -5.02. Which is the closest to 2\/7? (a) y (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2244012.\nAnswer: -1\/2244012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -30. Solve 0 = h - 2, 5*y - 17 = b*h + 2*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 12, 42 = 4*p - 0*p + 2*l. Let j(q) = q + 49. What is the remainder when j(-27) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 30003710.86?\nAnswer: -30003707.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3799, 7611, 11435, 15277, 19143, 23039, 26971?\nAnswer: 30945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255\/52 - 19\/4. Let m = -5 - -29. Let a = m + -20. What is the biggest value in a, -4, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 16 = 2*l, 0 = -2*l + 11*a + 22 - 50 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, g: 9}. What is prob of picking 1 s and 1 g?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-36)\/6*1. Solve u = -5*v - 10 - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 14 - 7)*(91 + 748*p + 742*p - 1488*p)*(-31 + 31 - 9*p).\nAnswer: -54*p**2 - 2457*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (-11 + 14)) + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16998 + -17002. Suppose 5*n - 3*n = 4*p, -p = 3*n. Which is the closest to 0.1? (a) n (b) u (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-6)\/21)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3 + 96*v**2 = 0?\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-182))\/(252\/(-546)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-14)\/(-28))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose -b - 4*u - 12 = -5*b, 4*u = 0. Suppose -b*z - 45 = -3*f, -z + g*z = -3. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/49 + (-8650)\/(-14)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87203 = -1957*s + 279*s - 3409 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 6*d**2 + 8*d**2 + 5*d**2.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:19 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -188390+-129312.0125\nAnswer: -317702.0125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 35. Let c = 14 + i. Solve 0 = c*x - 9 - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 - 16*t**3\/3 - 5*t**2 + 11*t - 34. What is the units digit of v(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + 11 + -8 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -502?\nAnswer: 13\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 + 2*f**4 - f**4)*(283 - 283 + 3*f) - 9*f**2 + 9*f**2 + 2*f**5.\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bd + -21?\nAnswer: -1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-432)\/(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**2 - 17 + 17 to q*s**2 + b*s + p and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17745451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247275 divided by 18.\nAnswer: -1247275\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 11*z - 5. Let c(x) = -11*x**2 - 17*x + 7. Let v(g) = 5*c(g) + 8*f(g). Let a be v(-8). Suppose 11 = 2*d - a. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1681648, 3363098, 5044548, 6725998, 8407448?\n\"Answer: 1681450*a + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -24 - 111\/84) + 3\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*11*(-15 - -14) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5827 + -3620. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k - 12. Suppose 5*s - 12 = z - 0*s, -5*s + 27 = 4*z. What is the remainder when 71 is divided by b(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 372, 787, 1246, 1749, 2296, 2887?\n\"Answer: 22*v**2 + 349*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 10*k - 7084. Does 34 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-3*d + 2*d + 3 - d) as n*d + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) -0.4 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pie when three letters picked without replacement from {q: 1, p: 1, i: 1, j: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 340. Suppose 4*a + 2*f = 2*a + 86, 4*a = -2*f + h. Suppose l - 23 - a = 0. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p + 701. Give c(39).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 9237 - 811. List the prime factors of x.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -161 - (-76 - (101 - 91))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 487185*w**3 + 5845740*w**2 - 23382320*w + 31176000 = 0.\nAnswer: 4, 97425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let u(s) = -73*s + 134*s - 68*s. Give u(b(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(5)*-4 - sqrt(24)\/sqrt(54))*2)\/(-3*2*sqrt(242)*-1).\nAnswer: -13*sqrt(2)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22304 - -1?\nAnswer: -22303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.5513 - 8338.\nAnswer: -8304.4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(-36*t + 50 - 50) + 41*t - 169*t + 91*t)*(-t**2 + 0*t + 0*t).\nAnswer: 73*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -167, -216, -273, -332, -387, -432, -461?\n\"Answer: o**3 - 13*o**2 - 3*o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let i(q) = -5*q. What are the prime factors of i(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 2*g**2 - 3*g + 2. Let l be y(2). Suppose 0 = -5*r + 2*h + 120, 42 = -l*r + 2*h + 138. Let p = r + -10. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 2*a - 2. Let t be p(2). Let z = 4 + t. Solve -z + 31 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 17 + 1. What is the tens digit of (-2)\/(-5) - v*9737\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153868843*x - 36284395?\nAnswer: -153868843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 5*k**3\/2 - 17*k**2\/4 + k - 79. Factor g(m).\nAnswer: (m - 1)*(15*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.237 - 0.61036.\nAnswer: -0.84736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1919, 3832, 5745?\n\"Answer: 1913*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*z**2 + 9 + 39*z**2 - 9 + 23*z**2 - 768*z wrt z?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 4*r**2 - 7*r + 8. Let c be g(2). Let v = 10 + c. Let i = 25 + v. Solve -x + 5 = 2*x + 4*q, q = 4*x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - (6 + 7))*(-2)\/7. Let s be (-1 - 1) + (6 - 1). Find d such that -d + d - 4*d**l + 2*d**s + 2*d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 0*i)*(-2*i - 3*i + 4*i) + 6 + 3*i**2 - 6.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g - 4. Let m be 10\/(-5)*3\/g. Find the second derivative of -2*l + 8 + m*l**4 - 9*l - 8 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(34\/30 + -1). Suppose -4295 = -4*f - a, 0 = 5*f - 4*f + z*a - 1088. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 2.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6336*l*p**3 - 10*l*p + 8*l - 2*p - 3 wrt p?\nAnswer: -38016*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -145 - 851. Suppose -1 = 4*d - 17. Suppose -t + 74 = -d*q. What is the remainder when q is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/113, 0.3, -3, -0.5, 2 in decreasing order.\nAnswer: 2, 0.3, -6\/113, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 3672.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 634409720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -36*(4 + -7)*1. Let j = -76 + g. Suppose 0 = -4*b + 12, -6*b = f - b - j. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22556016 by 4.\nAnswer: 5639004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 - 11\/44*-20646. What is the greatest common factor of s and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119\/((-2023)\/(-1173)) + -1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 493074 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 19, 0.6, 4, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 18. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-742)\/2520 + (-1)\/(-12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -13\/72, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2914*i + 6. Let n(b) = 364250*b + 752. Determine 376*c(o) - 3*n(o).\nAnswer: 2914*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4, 1\/2, 26\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + f**2 - 6*f - 2. Let c(g) = -2*g**3 - g**2 + 13*g + 5. Let u(v) = 2*c(v) + 5*y(v). Let s be u(-3). Solve 2*n = -n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6 + 2. Calculate the common denominator of (l\/8*142)\/(-1) and 53\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22559 and 7962?\nAnswer: 135354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33307.\nAnswer: 19, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-1\/7))\/d)\/d)\/d**0*(d*d**(-2))**(-50))**(-10) assuming d is positive.\nAnswer: d**(-3440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 2*k - k)*(-2 + 0 + 11) + (6*k + 0*k - 4*k)*(-3 - 1 + 3) in the form z*k + s and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 3*h + 19, 0 = 4*d + 4*h - 7*h - 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r + 2*u, 2 = r + 3*u - 7. Solve 2\/3*h - 2\/3*h**2 + r - 1\/2*h**3 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-4 + 7)*-321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25138\/3 + 8380. Let a(n) be the first derivative of 2\/5*n**5 - 3\/2*n**4 - 23 - k*n**3 + 0*n + 3*n**2. What is m in a(m) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406.761 hours in days?\nAnswer: 891.948375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*(5*p**4 - 3*p**4 - 3*p**4) + 946*p**5 - 2249*p**5 + 693*p**5.\nAnswer: -611*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 16. Let o = 8 - n. What is the third derivative of 6*y**o - 10*y**2 + 2*y**2 + 10*y**2 wrt y?\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23889 = 7*p - 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/2 - (-3)\/(-2). Suppose 4*u - 16 = 5*z + a, u = 5. Let b(k) = -1. Let x(o) = -7 + 3*o**2 - 5*o**2 - 1. Give z*x(v) + 10*b(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/91, -0.4, -1\/41, 0.4, 1 in descending order.\nAnswer: 1, 0.4, 4\/91, -1\/41, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 3:35 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -317607 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.3 - 6. Let y = 3.7 + i. Let q = -1.1 + 1.2. What is the nearest to q in y, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 344?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3725642, 7451442, 11177242, 14903042, 18628842?\n\"Answer: 3725800*t - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 5. Let c = -8 - f. Sort 1\/5, c, 3\/4.\nAnswer: c, 1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -2*d - 123, -3*a + d + 47411 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(48) + -3.\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17168*f + 273 - 155 - 118.\nAnswer: 17168*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 239*i + 37. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13624150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) -15313 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 261 + 115. Suppose 0 = -5*j + m + 652. What is the highest common factor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -22 - (6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -22*o**2 - 18*o**2 + 63*o**2 - 19*o**2. Let t(d) = -2*d. Give q(t(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203765?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32786811*j - 59592623 wrt j?\nAnswer: -32786811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.1. Let y be (-16)\/12*(3 - 0) + 2. Let q = 13 - 8. Which is the closest to j? (a) q (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d = 40*d + 151821. Suppose 4*o + d = 5*s, 3*s - 3*o - 11539 = -1420. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-4)\/(-10)) + 54 + -51. Let u be ((-126)\/45)\/(b\/150). Is u >= 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyh when three letters picked without replacement from whywyhwhwh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 60*t - 1134. Calculate m(13).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 14, p: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5969*a**3*j**2 - 2*a**3*j - 2*a**3 + 2*a**2*j - 12715*a**2 - j**2 wrt a.\nAnswer: -35814*j**2 - 12*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29608\/297 + 1086\/11. Calculate the common denominator of 52\/309 and v.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + t - 1 = 4*g, 5*t = 7*g + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 1 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(1700) - (sqrt(1700) - -6*2*sqrt(1700)) - (sqrt(1700) + 0 + sqrt(1700)*-2))**2.\nAnswer: 205699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 3059093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2. Let l(q) = 22819095*q. What is l(g(r))?\nAnswer: -68457285*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 2. Let n = -210 + 214. Solve u - n*u = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.4, 5, -5, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 - -1001221?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676814.83us in days?\nAnswer: 0.000030981653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:41 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(576)\/(sqrt(48)\/sqrt(4)))**2 + sqrt(528)\/(sqrt(44)\/sqrt(4))).\nAnswer: 20*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 3*s = 46, -4 = s. What is the remainder when 100 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7582 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422 (base 6) to base 16.\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*t + 2642 + 92 + 458 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-2) + (3 - 1). Let f be 32\/3 - (-10)\/v. Let g(m) = -m**3 + 9*m**2 + 12*m - 2. List the prime factors of g(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 9. Let c(u) = -u**3 + 5*u - 3. Let h(v) = 2*v**3 - 11*v + 7. Suppose -3*o - 21 = -3*m - 57, 5 = -m. Calculate o*c(r) + p*h(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2546*i - 2541*i = 5*o - 35, 3*o - 2*i - 22 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 34*v**3 - 7*v**2 - 13*v - 7. Let m(w) = -68*w**3 + 12*w**2 + 23*w + 12. What is -3*m(t) - 5*s(t)?\nAnswer: 34*t**3 - t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - a - 6681 = g, -5*g = -5*a - 6665. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 204581, 409170, 613759, 818348, 1022937, 1227526?\n\"Answer: 204589*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1372\/11*g + 0 + 2\/11*g**5 + 46\/11*g**4 + 1274\/11*g**2 + 378\/11*g**3.\nAnswer: 2*g*(g + 2)*(g + 7)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. What is the first derivative of g*n + 5 - 2*n - 3*n wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**4 - 160*h**4 - 120*h**4)*(-3 + 4 - 3)*(1 + 0 + 0) to the form k*h + i*h**2 + c*h**4 + d*h**3 + m and give c.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39.8 + -39.9. Let v = 98.06 - 96. Let q = v - 0.06. What is the closest to a in -0.5, q, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(27)\/sqrt(3)*1 - sqrt(45)\/(sqrt(15)\/sqrt(3)))\/((sqrt(288) + sqrt(18))\/sqrt(6) + -1*sqrt(3)*3)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*g - 95*g - 332*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:37 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15007216 divided by 1\nAnswer: 15007216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3318.9*361\nAnswer: -1198122.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 4 - 4)*(-4*c + 2*c**2 + 4*c) - c**3 + 4*c**3 - 4*c**3 + 584*c**3 - 365*c**3 + 679*c**3.\nAnswer: 901*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 850, -5, -38.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 4*t**2 - 14*t - 10. Let h be p(11). Let r be 10\/(-35) - 1052\/h. Let o = 2\/71 - r. What is the closest to 1 in o, -1, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzhah. What is prob of picking 1 z and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2824?\nAnswer: 564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -0*t. Let k be (-76)\/t*(-6)\/(-20). Let j = 137\/20 - k. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*y**2 - 5*y**2 - 3*y**2 + 43*y**2 to u + m*y**2 + p*y and give m.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*r + 167*r - 478*r - 3465 = 0. Let z(b) = -b**3 - 5*b**2 + 4*b + 2. Let n be z(-6). Put 13, n, r in descending order.\nAnswer: n, 13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(y + 1 - 1) + 3*y - 2*y - 5*y + 4*y + 6*y - 4*y)*(-5*y + 5*y - 6*y)*(0 - 7 + 13) + 3*y**2 - 2*y**2 + 3*y - 2*y.\nAnswer: -143*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*b - 30, -6*b = 4*r - 3*b + 24. Find the common denominator of 47\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 312819121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/5)*k*k*k)\/k**(7\/2)*(k*(k*k*k*k*k\/k**(-2\/7)*k)\/k*k)**(2\/21) assuming k is positive.\nAnswer: k**(683\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1795*b + 1771*b - b**2 - 3545*b - 70. Determine s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9 + 15, -j = 3*r + 402. Let p = j + 393. Let y = -9.02 + 9. Which is the third smallest value? (a) y (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15425*w + 15325*w = 30898*w + 7844 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 - 4. Let t = -2\/12415 + 434657\/819390. Let w = t - 4\/11. Which is the second biggest value? (a) w (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 16. Suppose w + k*w - 41 = -4*j, 5*j - 40 = -4*w. What is the remainder when 4*1*-4*(-1)\/4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7476 = -34705*b + 34912*b - 14880 for b.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -11. Let j = -3 - m. Which is the smallest value? (a) j (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(115\/(-16) - -7). Which is smaller: t or -120\/7?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 64*a. Let b(r) be the first derivative of r**3\/3 - 86. What is n(b(x))?\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089 and 13552?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 < -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9952565ns to minutes.\nAnswer: 0.000000000033254275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 22 - -2*1. What is the common denominator of 51\/2 and x\/40 + (-1)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 0 + 8\/1. Let n(c) = -3*c**2 + j*c + 0*c**2 - 5*c. Let p(x) = 3*x + 0*x - 4*x. Give p(n(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 584 and 1752?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 5. Let b(x) = x**3 + 5*x**2 - 8*x - 8. Let g be b(-6). Suppose g*m + 8*m = 60. What is h(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 7, 0, -10944, 55 in decreasing order.\nAnswer: 55, 7, 4, 0, -3, -10944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-63))\/(1 - (-4)\/(-3)). Let i(u) = u**2 + 3*u - 7. Suppose 1 - 6 = h. Let x be i(h). Solve -q + 4*o + 1 = 0, -q = q - x*o - k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 4*z + 5. Let n be o(-5). Suppose -4*s + 5*f = 845, 5*s + n*f + 1048 = -2*f. Let v = s + 353. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58146802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + 15?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2850 = -0*w - 6*w. Suppose -w = -9*u + 4*u. Let l = u - 57. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74099*u**4 + 10093*u**2 + 1.\nAnswer: 1778376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 2*p)*(0 - 4 - 2)*(16 - 4*p - p**2 - 16).\nAnswer: -6*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -19. Let k = -0.01 - 0.39. What is the third biggest value in -3, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 5, w: 1, u: 1}. Give prob of sequence wl.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1549.9 + -1550. Let s = -0.91 + -0.09. Which is the closest to f? (a) 0.4 (b) -1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/((k\/k**(-2\/7))\/k*k))\/k*k)\/k)**8\/(k**(-1\/4)\/k*(k*k\/((k*k*k*(k**1*k)\/k*k)\/k))\/k*k))\/(k*k**(-1\/6)*k**(-5\/3))**(-27) assuming k is positive.\nAnswer: k**(-603\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 970 - 968. Let x = 2.7 - 1.7. What is the closest to 1 in w, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 7.7. Let j = -7.06 - u. Let b = 3568.9 - 3563.9. Sort -1\/3, j, b, -2\/3 in ascending order.\nAnswer: -2\/3, -1\/3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91 times -0.364?\nAnswer: -0.33124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -30. Let m(o) = 54*o + 21. Let v be m(u). Calculate the remainder when 43 is divided by v\/(-6) + -2 + 27\/(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/(m*m**(1\/11)))\/(m*m**(-6)*m*m**11) assuming m is positive.\nAnswer: m**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, -505 in decreasing order.\nAnswer: -1, -2, -3, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 92*v = -89*v - 27, -2*d - 11 = -v + 2*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11159, -21572, -31987, -42404, -52823?\nAnswer: -63244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f + 20. Let h(u) = -u - 18. Let n be h(-20). Let w be n*(-3)\/24 - (-25)\/4. List the prime factors of a(w).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5552595 litres in millilitres?\nAnswer: 555.2595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 4*b**4 - 3*b**4)*((0 + 0 + b)*(1 - 1 + 3) - 72*b - 27*b + 15*b).\nAnswer: -162*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. What is the biggest value in 5, -0.4, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n\/n**(-3\/7))\/(n*n*(n\/(n\/(n*((n\/(n\/(n*n\/(n**(-2\/7)*n)*n)))\/n)\/n)))\/n)**10 assuming n is positive.\nAnswer: n**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*p + 4*y, -3*p + 2*y + 86 = -7*p. Let t = p - -42. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -5 (c) -52 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103883*t**3 + 961043*t - 961043*t.\nAnswer: 103883*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 9 = 15*p. Let f = 3 - 3.2. Put -0.5, f, p in descending order.\nAnswer: p, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 19. Let i = v + 2. Let n = i - -11.2. What is n rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Suppose 1 = -3*j + 10. Let l(p) = -4 + 2*p - 1 + 2 + 8. Give j*k(w) + l(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)*j**15\/j*(j\/j**(-2\/37))\/(j\/((j*j**3*j)\/j)) assuming j is positive.\nAnswer: j**(150\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*d**3 - 40*d**2 + 519*d - 1213801?\nAnswer: 135*d**2 - 80*d + 519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 6*y + 2*y - 37*y - 2*y.\nAnswer: -68*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 269*c**2 - 573*c + 12. Calculate f(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(2*1)\/(-3*(-196)\/(-168)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p**2 + 7*p**2 + 4*p**3 - 22*p**2 + 30*p**2.\nAnswer: 4*p**3 + 62*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/((-110)\/(-176)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5814 divided by -3.\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 140, 270, 494, 818, 1248, 1790, 2450?\n\"Answer: a**3 + 41*a**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-253 + 150 - 625)*(-4*v + v + v)*(9 - 1 + 0) to the form n + g*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11448?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12. Which is the closest to 2? (a) i (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/(sqrt(392)*-1))\/((-6*sqrt(36))\/(-2*sqrt(162))).\nAnswer: 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*n**5*y**2 - 9*n**4*y**2 + 2*n**2*y + 2599*y**2 wrt n?\nAnswer: -7320*n**2*y**2 - 216*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -110285252?\nAnswer: -110285246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16614*w - 16594. Determine f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.3. Let k = 5 + -7. Let z = k - -1.6. Which is the biggest value? (a) r (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39748 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 14*c**3 - 34*c**2 + 34*c - 12.\nAnswer: -2*(c - 3)*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 654.46 to 0 decimal places.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*n = -6*n. Suppose 2*s + 0*s + 32 = n. Is s <= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 2, -758, -1, -6, 5 in decreasing order.\nAnswer: 117, 5, 2, -1, -6, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - 9*b**2 + 11*b + 5. Let o(n) = -4*n**3 - 5*n**2 + 6*n + 3. Let c(j) = -5*o(j) + 3*w(j). Let m = -6 - -3. What is c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 1652635264840.\nAnswer: 1652635264842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 24. Suppose -3*b + 5 = -10. Suppose -b*p + 40 = -p. What is the remainder when y is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1490)\/375)\/(4\/(-3)) + 13466 + -13469.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 3136*f**2 + 242004*f - 697680 = 0. What is f?\nAnswer: -855, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 75284 + 6968. What are the prime factors of n?\nAnswer: 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1539*x - 1532*x - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4321020*0.4.\nAnswer: -1728408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.18 - -0.08. Let p = t - -0.1. Suppose 3*i = 12, 2*y + i + 3*i = 14. Which is the closest to y? (a) 5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3865.\nAnswer: 1159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -34. Let j = -7 + r. What is the common denominator of j*(-5)\/22 - 0 and -37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 341, 386, 433, 482, 533, 586?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.630067 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334657 is divided by 167317?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4032 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8 + 7 - 14 - 5*p - 3*p + 3. Let b(o) = 1. Give 4*b(m) - f(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from hbhzbbhzbzh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 19*x - 55. Calculate the remainder when 106 is divided by m(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 99. Let f = -38 - l. Let b = 3.9 - f. Is 0.01 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-79983)\/12*(-308)\/231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 39714 - 39714.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 0*u**3 - u - 3*u**3 to the form v*u**3 + n + b*u + l*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 + -6 - (-2 - 7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120651?\nAnswer: 3, 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, 11*c - 7527 = 6*c + i. Suppose -9*v + 430 = -c. Calculate the highest common divisor of 86 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let o(y) = -y - 189396. Give q(o(k)).\nAnswer: -k - 189396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -54. Suppose -2*g - 4*q + 177 + 49 = 0, -4*g = -c*q - 500. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, -122, -110, -78, -20, 70?\n\"Answer: g**3 + g**2 - 12*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33 and -0.29904853?\nAnswer: 32.70095147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 3*m**2 + 77*m**3 + 6114*m + 99 - 6114*m.\nAnswer: 77*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - -8 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96512 and 233856?\nAnswer: 6080256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3123\/4 + -783. What is the second biggest value in 1, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -930, -1847, -2776, -3723, -4694, -5695?\n\"Answer: -h**3 - 910*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 + 3. Let j be x(5). Let r(f) = 83*f**3 - 43*f + 3 - 4 - 14*f**j + 44*f. Is r(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111748700*-2.\nAnswer: -223497400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5. Let m(i) = -11*i + 275. Let u(t) = -m(t) - 55*v(t). Let k(x) = -24*x. Calculate u(k(o)).\nAnswer: -264*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -28407571.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3739 - -0.5?\nAnswer: 3739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*7 - (17 + -17). Let v be -3*(-10)\/3*(-36)\/b. Which is bigger: -17 or v?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -5 + 9 - (7 + 38 + -65).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(-9) + (0 - (-54)\/(-243)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9938747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**(-9\/2)\/w)**(-2\/55)*w**(-1\/9)\/w*w**(-5\/4)*w*(((w**2*w)\/w)\/w)**(20\/9) assuming w is positive.\nAnswer: w**(1813\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47036 divided by 151\nAnswer: 47036\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 + 26. Let n(p) = p - 20. Let h be n(20). What is the tens digit of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2037321 + 114100613\/56. Let c = -1306\/7 + r. Suppose 3\/2*l - c*l**4 - 3\/8 - 9\/2*l**3 + 3\/4*l**2 = 0. Calculate l.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 123*w + 3232. Calculate t(-39).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*m - c + 2*c, m + 3*c = 36. Find the common denominator of 2\/m*266\/(-1) and 50\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302747410.\nAnswer: 2, 3, 5, 17, 4515191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 100, 148, 194, 238?\n\"Answer: -h**2 + 53*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.722 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(12 - (-1152)\/(-135)). Which is greater: r or 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*d + 31. Let s = -14 - d. 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 z = -122 - -122. Suppose 4*v - 800 = -0*v + 4*t, 4*v + 2*t - 818 = z. List the prime factors of v.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 21 = -3*w, 0 = -2*w - 3*a - 7 + 25. Suppose 0 = 21*y - 20*y - w. Solve 3*j - 21 = -h - j, 22 = -y*h + 5*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3257370843.\nAnswer: 3, 1085790281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Let z be 4\/(0 - h\/(-6)). Suppose u - 55 = -3*f, -43 = -z*u + 5*u + 3*f. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3906 + 3905.2. Which is the fourth smallest value? (a) 0.9 (b) x (c) -3 (d) -0.2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*l + 651*l = -12*r + 30, -l + 25 = 4*r for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/15, 843, -3\/100, -0.01, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 471299284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**3 - 8*m**2 - 13*m - 7. Let w be f(-3). Let a = 1349\/4 + w. Factor a*u - 1\/4*u**3 - 3\/4 + 3\/4*u**2.\nAnswer: -(u - 3)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604 divided by 4.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -13 - (6 - -3)) + 6 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4200568605.\nAnswer: 3, 5, 31115323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -8 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14100159473072 and 5.\nAnswer: -14100159473067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujppu. Give prob of picking 1 j and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h + 19, 10 = -0*q - 2*q. Suppose -4*x + 56 = 4*d, h*d + 2*d - 75 = -4*x. Suppose 4*t - d = 3*t. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 18. Suppose -2*w + t*w - 16 = 0, -2*w = -v + 70. What is the remainder when v is divided by (-15)\/(-2)*48\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 118*u\/11.\nAnswer: 2*u*(u + 59)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 3, -19.520908, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 21 (c) 0.0559231 (d) -2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-364)\/245)\/(2288\/2464))\/(-1 + (-96)\/(-95))\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 25 = -5*q, 3*q - 4*q - 5*x = -23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 + 0*q**5 - 2*q**5 + (-2*q**5 + 4*q**5 - q**5)*(0 - 2 + 1) - q**5 + 0*q**5 + 3*q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.09, -2\/41, 3\/10?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064.75 kilometers in nanometers?\nAnswer: 3064750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/10*(-12)\/88. Let s = -8\/55 - v. Which is the third smallest value? (a) 0.4 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -100, -160, -244, -352, -484?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, 3, -68 in descending order.\nAnswer: 5, 3, -2, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259547249 by 13.\nAnswer: 19965173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19799 + 21 + -30 - 20. What is the highest common factor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11991 is divided by 235.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61108, 122219, 183326, 244429, 305528, 366623?\nAnswer: 427714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 3*v**2 + 60*v + 20. Give x(-7).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-35)\/(-170)) + 5. Differentiate -m**2 - v + 2*m**2 - 35*m + 46 with respect to m.\nAnswer: 2*m - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203395700 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -210*o**2 + 16170*o + 2. Give n(77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 + -ea7?\nAnswer: -eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/33, 0.3, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 23*k = 28*k - 20, 3*i = -4*k + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*48\/80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 11*h - 8*h - 10*v, 4*h + 3*v = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (64\/60)\/8*12. Determine b, given that 24\/5*b + z + 2*b**2 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -0.15091, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - -2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.1, -4, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32112 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 3\/(-6). Let d be (-3 + 2)\/(s\/6). Let o be 73 - ((-7 - -18) + -4). What is the greatest common factor of o and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*r - 24*r + 31*r**2 to j*r**2 + m + s*r and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41308.\nAnswer: 2, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -379, -982, -1951, -3256, -4867?\n\"Answer: 5*s**3 - 213*s**2 + s - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s, 5*z + 2*s + 0*s = 3. Let b(l) = -3*l + 1. Let f be b(z). Let j be (-9)\/3*5\/(-3). Sort f, -3, j in decreasing order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675588 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302\/(-770) + ((-218488)\/6820 - -32)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 31 = 3*b. Calculate the highest common factor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1131955 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17159.76um in millimeters?\nAnswer: 17.15976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 0. What is the second derivative of 5*q**r - 6*q - 3*q - 3*q**2 - q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146938297 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*n - 2313 + 17950 = 150*n - 10355 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybykkkxybxyy. Give prob of picking 1 y and 2 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -61.8. Let j = s - -11. Let y = j - -44. Which is the second smallest value? (a) y (b) 13\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 62485 = 3*k, -5*x + 3*k = -6*x + 12485. Round x to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/41, 0.5, 2\/13, 3 in descending order.\nAnswer: 3, 0.5, 2\/13, -2\/41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -14402.9 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/448 - m**7\/140 - 3*m**6\/80 + m**5\/10 + 5*m**4\/32 - 3*m**3\/4 - m**2 - 57. Suppose n(o) = 0. What is o?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-68)\/51*-3*(-39)\/6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15201130 by -1.\nAnswer: 15201130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8389184mm to nanometers.\nAnswer: 838918.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - -1) + (-324 - -137 - -195)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 3578*i**3 + 50275*i**2 - 46696*i.\nAnswer: -i*(i - 13)*(i - 1)*(i + 3592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 22\/3*y**3 + 2\/5*y**5 - 3*y**4 + 0*y - 6*y**2 + 92. Let m(h) = 0. Calculate h.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1998, 0.3, -50, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -183, -389, -595, -801, -1007?\n\"Answer: -206*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.99 - 2.41. Let w = g - -1.4. Let i = 0.8 - 0. Which is the third biggest value? (a) -2\/13 (b) w (c) i (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*m - 2*m**4 + 0 + (0 + 2*m + 0)*(0*m**3 + 3*m**3 - 5*m**3) - 2*m**4 + 3*m**4 - 2*m**4 + 2*m**4 + 24 - 24.\nAnswer: -5*m**4 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4859 divided by 7928?\nAnswer: -4859\/7928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4 = -8. Calculate the remainder when z is divided by ((-2)\/6)\/(2\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -435922930 to the nearest one million.\nAnswer: -436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.59 + -1.5. Let i = 20.09 - d. Let c = i + -20.0000022. Round c to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1511 at least -1526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:23 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 5, j: 3, y: 5, f: 1, s: 2}. Give prob of picking 1 y and 2 j.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 388, 1558, 3538, 6352, 10024, 14578?\n\"Answer: 4*u**3 + 381*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 2. Determine d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*g - 89297, 5*g + 161*c - 160*c = 223210. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*q**3*u + 34*q**2*u + 2*q*u - 1285*q wrt q.\nAnswer: -282*q*u + 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k**(-22)*k))\/k)*k*k*(k*k\/k**(-17\/4))\/k*k*k\/(k\/(k*k**(1\/53)*k))*k**(19\/6) assuming k is positive.\nAnswer: k**(-4175\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 873, 1560, 1845, 1500, 297, -1992?\nAnswer: -5595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 29 + 29 - 4*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.447, -1, -4.68 in decreasing order.\nAnswer: 1.447, -1, -4.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 2937 = 17*b. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*(p\/p**(2\/21))\/p))\/p))\/p**(3\/4))**(4\/15)*p\/((p\/(((p*p*p**(-4))\/p)\/p*p))\/p)*p**(-2\/3)*p*p**(-9)*p**9 assuming p is positive.\nAnswer: p**(-344\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*i**2 - 4)*(22*i - 172*i + 68*i)*(i + 0*i + i)*(-3 + 5 + 1).\nAnswer: 1968*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose 0*n = -2*l - 3*n + 42, n + 63 = w*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55935 and 2673.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.13, -0.1, 0.5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 81*i**2 - 153*i + 985. Give x(6).\nAnswer: 2983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**3 - 311*c**2 - 34*c - 96. Let w be z(-31). Put -4, -2, w, -94, 10 in descending order.\nAnswer: 10, -2, w, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -110 (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177 and 13.11?\nAnswer: -2320.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 + 11*y - 4. Let d be g(-8). Let o = d + -30. Suppose o*n = n + 135. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + 4\/(-2). Let k be ((-4)\/(-6))\/(-1)*-18. Suppose 8*d - 16 = 6*d. Solve -2*n = -f*v - v + k, -d = 3*n + v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by -57914?\nAnswer: 193\/28957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(320) + 2*sqrt(320)))**2 + 0)*-1 - (sqrt(320) + ((2 + sqrt(320) - sqrt(320)) + sqrt(320) - sqrt(320))*-4 - (2 + sqrt(320) + -1))**2) + -3.\nAnswer: -11604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -34.29, 2\/3, 1\/9, -3, 91?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64794 is divided by 16195?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-10))\/((-1374)\/(-2290)). Let i(m) = 17*m. Determine i(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4653)\/(-165) - 3\/15. Calculate the highest common divisor of s and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeneneenenenpeonennn. What is prob of picking 1 e and 1 x?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (712\/(-7120) + (-6)\/(-10))*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172821 - -299134. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -130. Suppose -x - 7 = -3*s. Suppose 4*m = 3*v - s, -3*m = -2*v + 2*m + 34. What is the remainder when 18 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 357\/102*160\/(-28)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*r**2 - 60*r**2 + 123*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k + 12. Solve 4 - k = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = 159*b - 163*b. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1824300 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 539*x**2 - 538*x**2 - 181 + 1732 wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:39 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12227120 and 11\/144.\nAnswer: 110044080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*i + 16*i - 12*i + 2*i**2 - 9*i - 92*i.\nAnswer: 2*i**2 - 189*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -130. Let o = -23.8 - -22.8. What is the second smallest value in o, -1\/5, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-3107015)\/8) + 402\/3216 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200 - 200. Let j(z) = z**3 - z**2 + z + 5. What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 6\/5, -4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1, 5, -2, 0.3, 7\/6 in decreasing order.\nAnswer: 5, 7\/6, 0.3, 2\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 10) in base 13?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + (28 - -6) + (-10 - ((4 - 6) + -1)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s)\/s*s*s**(-4\/35)\/s*s assuming s is positive.\nAnswer: s**(-179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 9. Let o be h(-6). Sort o, -3, -4.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111010001 - 10101111?\nAnswer: -1010111010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275340471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -161 (b) 4 (c) 1 (d) -194 (e) -0.099\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 - 13*u**4 - 2*u**4 - 24*u**2 + 4*u**2 wrt u.\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 85382.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 994\/(-28) + 2\/9. Let w = -71\/2 - m. Which is the nearest to -0.1? (a) -5 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-25 - (-20 + -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 5*g - 4*j, -3*g - 3*j + 5*j - 57 = 0. Let c = g + 12. Let o = 24 + c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26436 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.0255794 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8624295 by 958255.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*v + 179156*r**2 + 559*r*v**2 - 2*v**2 + v wrt v.\nAnswer: -2*r**2 + 1118*r*v - 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**2 - c**2)*(3 + 6 - 5)*(8*c - 2*c + 7*c)*(1 - 2*c - 1).\nAnswer: 104*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -1\/2*l**2 + 1\/20*l**5 + 0 - 1\/6*l**3 - 1\/12*l**4 - 4*l. What are the prime factors of r(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8827*o. Let z(r) = 185368*r. Determine 64*c(l) + 3*z(l).\nAnswer: -8824*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 15. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -15*t + 28. What is the smallest common multiple of t and 291?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Suppose -4*x - g = 33. Calculate the least common multiple of 14 and ((-2)\/7*-9)\/(x\/(-42)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11891.\nAnswer: 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -774 + s + 774. Let d be ((-2)\/3)\/((-2)\/(-6)). Calculate k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*h - 814 + 412 + 402.\nAnswer: -91*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -87.59, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.38 + -0.62. Let y = -35.9926 - s. Round y to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 44 in decreasing order.\nAnswer: 44, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75125 - 23.\nAnswer: -75148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose -5*k = -x*s - 16, 6*s - 4*k = s - 5. Find the third derivative of -s*j**2 - 3*j**4 + 0*j**4 + 4*j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6) - -2)*(-1)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let z(i) = 2*i**2 - 8*i + 460. Calculate z(x(m)).\nAnswer: 2*m**4 + 8*m**2 + 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/3 + 6065704*d\/3 - 4599095626952\/3 = 0. Calculate d.\nAnswer: 1516426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -46. Let b be -1*(6\/(-2) + -2). Let j(n) = 14*n - 6. Calculate the remainder when j(b) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1169.337175 - -0.0384.\nAnswer: -1169.298775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 1010*x**4 + 169322*x**3 + 9302774*x**2 - 20678164*x - 77228944.\nAnswer: 2*(x - 4)*(x + 2)*(x + 169)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(60) + sqrt(60)*2 - sqrt(60))\/sqrt(10) + sqrt(6) - sqrt(6))\/((sqrt(10)*1)\/sqrt(5)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 - 293. Suppose -3*g = 11 - u, 0 = o - 5*g - 21. Solve -4*k = -3*q - 5, -4*k - 2*q = -o*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.2 + 2.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -165*k - 68*k - 154*k + 3. Let v be s(-6). Suppose 1825 + v = 5*n. Round n to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.95 + -768.05. Let p = -776.98991 - d. What is p rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36.7, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3089015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:31 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 9*d + 3. Let h(t) = 3*t + 1. Let s(n) = 3*h(n) - i(n). Let a(l) = 99*l - 449*l + 148*l - 1 + 150*l. Determine s(a(c)).\nAnswer: 5408*c**2 + 208*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 29, 65, 115, 179?\n\"Answer: 7*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -28123, -5 in descending order.\nAnswer: 109, -5, -28123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 8. Let b = -17 + 11. Let d be c(b). Suppose g + d = 2*m + 4*g, 0 = 5*g - 20. Solve u = m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/3 - 6\/18. Let h(w) be the first derivative of 0*w + 1\/6*w**t + 0*w**2 + 1 - 2\/9*w**3. Factor h(p).\nAnswer: 2*p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.6 - 16. What is the second biggest value in a, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -37. Calculate the common denominator of (-4)\/(-16) - (-139)\/12 and (1 - (-255)\/a)\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140304144 (base 5) in base 13?\nAnswer: -724724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -132. Let s be (2 + 0)*2*-1. Sort s, h, 0.\nAnswer: s, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683853 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/9*-6)\/(64\/(-384))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 54. Let s be m\/(-117) + (-7024)\/(-26). Let j(w) = w**3 - 57*w**2 - 380*w + 234. Let o be j(63). Calculate the greatest common factor of o and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 24*r**3 + 12*r**3 - 31 + 8*r**3.\nAnswer: -2*r**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 33\/10 of a second?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49703383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 3*v - 395, 367 = 3*v + 5*u. Let z = -71 + v. Suppose -x - 15 + z = 0. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190812863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005163309981 rounded to six decimal places?\nAnswer: -0.000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 12*s**2 + 6*s + 59. Let z be a(11). Suppose -z*o + 8 = 0, 3*o = -f - f + 10. Let u = -2 - 1. What is the closest to -2 in u, f, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2265192165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200 - -11011?\nAnswer: 21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36511 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-662 + 662 + 367*k)*(-6*k - k + k)*(3 - 3 + 2) - k**2 + 2*k**2 - 3*k**2 + (-1 - 3 + 2)*(-2*k**2 + 0 + 0) - 1 + 1 + 2*k**2.\nAnswer: -4400*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47301 or -47305?\nAnswer: -47305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 + g - 2. Let b(l) be the first derivative of -l**4\/4 - l**3 + l**2\/2 + l + 11106. Give b(o) - 3*d(o).\nAnswer: -o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*p - 5427 = 205*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.2, 5, -1\/6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-10)*d*d)\/(d\/(d\/(d\/(d**7\/d*d)))))\/(d**10\/(d**4*d)))**50 assuming d is positive.\nAnswer: d**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -24 - -13) + -2 + -4 - -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 5 + 0 + 3 + 3*z**2 - 6*z. Calculate the remainder when t(-6) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4798*r**2 - 86616*r + 86616*r.\nAnswer: 4798*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*x**3 - 2 + 2.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000125216728 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66.999934 + -67. What is d rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -673*o**4 - 226.\nAnswer: -2692*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 128?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 158559 divided by 2\nAnswer: 158559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(288) - (-3*sqrt(288) + 5))**2.\nAnswer: -1920*sqrt(2) + 18532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 - 2*r**2 + (r + 3 - 3)*(-2*r + 0*r + 0*r) + 0*r**2 + r**2 + r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1004*k*q**3 + 4*k*q**2 - 7*k - 4*q**2 + 2*q wrt q.\nAnswer: 6024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 + 34*n**3 - 4*n + 42?\nAnswer: -20*n**3 + 204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t + 7. Let d(x) = -x. Let n(b) = -5*d(b) + 2*w(b). Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37165149 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233572 is divided by 187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 16) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 110*z**2 + 16*z - 156. Let o(j) = 22*j**2 + 3*j - 31. Let u(w) = 16*o(w) - 3*y(w). Find the first derivative of u(r) wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + h - 5 = 0, -11*q + 30*q - 5*q - 12*h - 9 = 13*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -380. Is 131 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 148*c**2 + 109*c - 87. Let m be x(50). Let o(u) = 50*u**3 - 7*u**2 - u. Let p be o(-5). Let r = m + p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvn when three letters picked without replacement from {z: 1, n: 1, v: 1, e: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) + sqrt(8640)*-1*-5 - sqrt(8640))\/((1*(sqrt(72) + (sqrt(72) + sqrt(72)*1 - sqrt(72))))\/sqrt(6)).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 1021885*p + 1044248953225\/2 = 0.\nAnswer: 1021885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-12)\/8)*245\/(-7). Find the third derivative of -7*m**2 + o - 4*m + 2*m**3 + 9*m**4 - 70 wrt m.\nAnswer: 216*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 300*t**2 - 4938*t + 5240 = 0 for t.\nAnswer: -131, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 85 - 15*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from ppzpzppppzzzp?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 2) + (-23 - (-80 - -40)) + -10.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let w(u) = -3*u + 4. Let x(d) = -4*h(d) - w(d). Let a(f) = 10*f. Determine x(a(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1031*v + 1. Let w be o(1). Is ((-3)\/9)\/1*w\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 - 9*p - 9. Give u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) 919 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(18*18\/(-324))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/11360 and -91\/16?\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 120*x**2 - 3*x - 3. Let g be c(1). Solve 0 = -g*u + 110*u - 28 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 3. Let a be o(-3). Suppose a = -5*s - 9 + 29. Suppose -9 = 3*n + j - 4*j, 24 = s*n + 5*j. What is the least common multiple of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-16)*4*36\/63\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103899014, 103899018, 103899022, 103899026, 103899030?\nAnswer: 103899034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*x = -26, 0*u - 3 = u + 4*x. What is the derivative of -5 + 7*n**2 + 1 + u + 6 wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (129 - (200 + -108)) + -1 + -77?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and -361137291755.\nAnswer: -361137291804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 6*m**2 + 18*m + 175. Let h be w(-12). Sort h, -1, -0.5 in descending order.\nAnswer: -0.5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820560 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:48 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 67. Let q be s(-13). Let v(o) = 11*o - 4 - 24*o + 9*o + 12. Let d(c) = c - 3. What is q*v(j) - 7*d(j)?\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174711827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3962295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -555544 (base 11) to base 14\nAnswer: -190b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 2. Let v be a(3). Let y = -15 - v. Calculate the remainder when (-11)\/y + (-1)\/2 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 - 10*n**2 - 7*n**2)*(-9 + 7 + n + 0).\nAnswer: -23*n**3 + 46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 13, 67, 175, 355, 625, 1003, 1507?\n\"Answer: 3*b**3 - 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 22*f. Let k(s) = -11*s**2. Give k(g(o)).\nAnswer: -5324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891298217 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - p**2 - 14*p + 29. Let n be a(5). What is the greatest common divisor of 1564 and n?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let v = -14 - -17. Sort -4\/7, m, v.\nAnswer: m, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i, 2*m + 0*i - 5*i - 81 = 0. Calculate the greatest common divisor of m and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2\/11, 11397\/5 in descending order.\nAnswer: 11397\/5, 5, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 460232 divided by -115058\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, and 1 f when three letters picked without replacement from {r: 1, v: 1, f: 13}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1627 and -5137532.\nAnswer: -5137532.1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45735574?\nAnswer: 2, 43, 179, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ununnjnluncuccxnu. Give prob of picking 1 l, 2 c, and 1 n.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -983\/434 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285850?\nAnswer: 2, 5, 25717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11926 + -5045. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30364174?\nAnswer: 2, 311, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*f**3*z**3 - 4*f**3*z**2 + 163*f**2*z**2 + 2*f*z**3 wrt f?\nAnswer: -180*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*q + 13767, -x + 18358 = 3*x + 2*q. Let g be (9 + -6 - 7) + (20237 - -1). Suppose x = 15*t - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424057717?\nAnswer: 3, 808019239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-14) + 2\/((6 + 8)\/2). Which is the closest to 1? (a) t (b) -0.015 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, t: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 2. Let j(t) = -2*t + 3*t**2 + t + 2*t - 7. Let m = 4 + -6. Determine m*j(s) - 7*b(s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -15*r - 53. Let x(o) = -o - 8. Give x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 39*j + 488. Let n be t(-9). Solve n - 109 = 14*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35430842 to the nearest integer?\nAnswer: 5952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 38 = 6*b. Let l = 33 - b. Let y be (-1 - -2)\/((-3)\/(-105)). Calculate the greatest common factor of l and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*r - 28*r = 1260 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -2.03. Let c = -256\/705 - -7\/235. Sort 4, 0, q, c in descending order.\nAnswer: 4, 0, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, a: 1, k: 4, t: 2, w: 3}. Give prob of sequence kww.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10475.030848 + 10475. Round n to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (-24 + (-14 - -11) + 14 - (-15 + -9))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b - 25. Let m be x(-3). Suppose -756 = -4*y + 5*d, m*y - 2*y + 3*d = 540. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105249 is divided by 984.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 44037 + 0*v - v**3 - 44036 + v**2 + 5*v. Let q(u) = 3*u + 3. Let d be q(-2). What is the units digit of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2120044 (base 5) to base 10\nAnswer: 35649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:53 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 43*u + 12. Calculate o(21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 12. Determine y(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64404553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1640 = -1426. Let a be q\/(-364) - (-20)\/16. Is -0.1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 255346?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8336947?\nAnswer: 2521, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(78) - sqrt(78)*-1)*-2 + sqrt(78) + (sqrt(78)*-2 + sqrt(78))*-1))\/(sqrt(216)*-2*-2*-6).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*3 + 3. Suppose 0 = -5*t - 2*m - 8 - 12, -t - 2*m + 4 = 0. Let l = t + 9. What is the greatest common factor of l and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-10)\/(-4)*(-101)\/59994*-33.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y = -59*y + 252 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q + 17*q - 60*q.\nAnswer: -110*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -53856 at least as big as -53854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 9:36 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = -2*r + 10*g + 142256, -2*r - 2*g = -142238. What is r rounded to the nearest one thousand?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 44 = 0. Calculate the remainder when h is divided by (-1)\/(11\/(-15) + 4\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 371. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let p be m - 0 - (-2)\/1. Suppose 2*i + i - 48 = w, -p*i - 3*w = -36. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467229.3 millimeters in micrometers?\nAnswer: 467229300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168071714 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - -10. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -464, -999, -1534, -2069, -2604, -3139?\n\"Answer: -535*v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20329 and 471072.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 55 + 9 = 0. Let j be (d - 1) + -15 + 15. Let z(b) = -58*b + j*b + 19*b. Let n(a) = -2*a**2. What is n(z(p))?\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -5) + 2 + 18 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*a - 4776 = -8*a + 10*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstsktkst. Give prob of picking 1 k and 3 s.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.632 + -0.732. Let j = 12 + -7. What is the third biggest value in c, j, 44?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:42 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41649 - 41648.73689. Let y = 0.265 - h. What is y rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 45*k + 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g. Let d(i) = -9*i + 5*i + i + 2*i - i**2. Calculate 5*d(u) - 4*n(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.934 - -0.034. Let m = -2.21 - q. Let g = -18.49 + m. What is g rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*c - 882, 583 + 299 = -2*l - 3*c. Let s = -1783\/4 - l. What is the common denominator of s and 61\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*g + 2. Suppose 10*o - 30 = 15*o. Let x(t) = -2*t**2 - 13*t + 3. Calculate the least common multiple of x(o) and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(7\/3))\/c)\/(c\/(c**10*c)))\/(c*((c**(1\/4)*c)\/c*c)\/c*c)**(-3\/37) assuming c is positive.\nAnswer: c**(6001\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from hmmmgjjmmjj?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -14845?\nAnswer: 14841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + 0 + sqrt(192))*5 - (sqrt(192) + (sqrt(192) + 0 - sqrt(192))*6 + 1 + 1))**2.\nAnswer: -18688*sqrt(3) + 54481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.039 - 0.801. Let s = k + 0. What is s rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from {d: 1, c: 1, e: 1, k: 2, h: 7, i: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 - 16 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (2 + (-9 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:13 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c + 4. Let z = c - -8. Solve -z*y - 8 = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, 127, 207, 315, 457, 639?\n\"Answer: q**3 + 5*q**2 + 36*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 95*h + 458. Let r be w(42). Put 10, 2, 0, -1, r in descending order.\nAnswer: 10, 2, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z - 4. Let m(x) = 2*x**3 - 7*x**3 - x - 5*x + 7*x. Let p be m(-1). Sort -3, z, p in decreasing order.\nAnswer: p, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.070531?\nAnswer: 4.929469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, w: 2, o: 3}. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8 - 19\/(-76). Solve -k + 4*z = 4, -z + 1 = -k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3098832 and 16409724?\nAnswer: 722027856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - 5077?\nAnswer: -5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28253 or -28254?\nAnswer: -28254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*s - 3*s. Does 6 divide ((-8)\/(-6))\/s*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3*s**2 + 17*k**3 + 2*s**2 + 51*s + 3 with respect to k.\nAnswer: -9*k**2*s**2 + 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0609 - -209.0609. Let g = 208.99999275 - i. What is g rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6202925, -6202927, -6202929, -6202931, -6202933, -6202935?\nAnswer: -6202937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -247373*r + 1484225. Give y(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 - -338. Let d = x - 115. Let k = -3 - -15. Calculate the remainder when d is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**4 - 150*x**3 + 4*x**2 - 19173*x wrt x?\nAnswer: 12*x**2 - 900*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1600, -12362, -41450, -98026, -191252?\n\"Answer: -1527*d**3 - d**2 - 70*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4576 and 32205316?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 11*h + 10. Let q be d(-10). Which is smaller: q or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 4*n + 16, 3*n + 12 = -d. Suppose -3*z + 8 - 3 = u, -2*u = 5*z - 7. Let i = d + z. Are 0 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 6*y**2 + 6*y**2)*((-2 + 2 + 1)*(-1 + 0 + 3) - 5 + 5 + 3).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17067*z + 30176 = 16699*z for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3102 and 14758.\nAnswer: 487014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 + -197.00000332. What is j rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*i**2 + 131*i**2 + 113*i**2 + 109*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*a)*(4*a + 0*a - 3*a - 3 + 3 + 2*a - 1 + 2*a + 1 + 2*a - 3 + 3 + (-1 - 1 + 4)*(a + 0 + 0) + 2*a - 3 + 3).\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*o**2 - 245*o**2 + 179*o**2 - 2216*o**3.\nAnswer: -2216*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13220 + 1102102?\nAnswer: 1022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230257, 230261, 230267, 230275, 230285?\nAnswer: 230297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let d = g + 1. Let w = -1402 - -1398. Which is the third smallest value? (a) d (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33347763 to the nearest integer?\nAnswer: 5775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h\/h**(15\/2)*h)*h)))\/(h*h*h*h**17\/h))**(7\/4) assuming h is positive.\nAnswer: h**(-161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**2 + 10 - 666*u - 12*u**2 + 669*u to k*u**2 + s*u + v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16948 - -19060. What is the greatest common divisor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 12)\/4 - -7. Suppose -4*b = -2*x + 20, 2 = -3*x - 3*b - u. Let a = 10 + -3. What is the lowest common multiple of a and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/8 - 27*w\/4 - 1485\/8.\nAnswer: 3*(w - 33)*(w + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 9\/8, 7 in ascending order.\nAnswer: -5, -0.4, 9\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5 + (1 - 1 + 1)*(-4 + 2 + 0) - 100 + 12 - 22)*(-6 + 6 - 4*t).\nAnswer: 452*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 34 = -186. Calculate the remainder when r is divided by 1*(-2 + (-19 - -14)) + (22 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*m + 10, -4*w - 4*m + 7*m = -8. Suppose 3*l + 1 = k - 6, 3*k + 35 = -5*l. What are the prime factors of (-55)\/22*k*w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 0. Suppose 5*x - b = 2*x + 485, s = 2*b + 4. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - n + 2. Let p be v(-2). Let f = -1301.43 + 1308. Let t = 9.57 - f. What is the smallest value in t, 15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -566 - -566.4. Let w = 4 - 8. Which is the nearest to -1? (a) w (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/9))\/q**(-10))**50 assuming q is positive.\nAnswer: q**(5050\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 807, 843, 879, 915?\n\"Answer: 36*w + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*t + 1601 = 2131 + 8970 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.86618 - -1.4.\nAnswer: -7.46618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2256550 - -5?\nAnswer: -2256543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80088 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**4 - 3*j**3 + 8*j**2 - 3*j - 4. Let y(s) = -48*s**4 - 20*s**3 + 56*s**2 - 20*s - 28. Let g(b) = -20*m(b) + 3*y(b). Solve g(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bba1c0 + -13?\nAnswer: -1bba203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/3 + 229100*r\/3 + 229106 = 0?\nAnswer: -3, 114553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/6)))**(-3\/19)*o**(-6)\/(o*o**(-9)\/o) assuming o is positive.\nAnswer: o**(115\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 4 - 4 + 0. Let z(d) be the first derivative of 98*d**3\/3 + 3092. What is z(k(v))?\nAnswer: 98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*-3*4\/3. What is the tens digit of w\/6*(510\/24 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*i = 7, -13*k + 14*k - 3*i = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 9) in base 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let d be 2\/5 - (-24)\/15. Let t(b) = -b**2 + 5*b - 3. Let u be t(d). Let a(f) = f - f - f + u*f. Give a(o(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0*b**5 - 23*b - 5\/21*b**7 + 0 - 7\/6*b**4 + 0*b**3 + 0*b**2 + 0*b**6. What is the third derivative of h(z) wrt z?\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9407, -19413, -29421, -39431?\n\"Answer: -q**2 - 10003*q + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let j(r) = -23*r + 20. Let l(q) = 47*q - 38. Let z(d) = -7*j(d) - 4*l(d). Determine c(z(t)).\nAnswer: 27*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3000\/1600*(-14)\/(-21))\/(-3*(-20)\/(-18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17023 - 16987. What is the remainder when 831 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -1550, -5227, -12394, -24215?\nAnswer: -41854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**9\/a**6*a**(-2\/7)*a\/(a**(-8)\/a) assuming a is positive.\nAnswer: a**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(147) + (sqrt(147) + (sqrt(147) - (sqrt(147) - (sqrt(147) + 0) - sqrt(147))**2) - sqrt(147)) + sqrt(147) + sqrt(147) - sqrt(147))*6*-4.\nAnswer: -18000 + 2520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -638, -1454, -2700, -4436, -6722, -9618?\nAnswer: -13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*w - 5*p + 4, -3*w + 4*p + 1 = 0. Suppose 67 = w*b + 367. Let y = b + 165. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:23 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 7*n**2. Let i be o(-7). Suppose i = 4*j + 4*j - 24. Suppose -4*d = j*t - 53, -2*d = -0*d - t - 39. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 99, 190, 309?\n\"Answer: 14*j**2 + 21*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 48 - 104 - 373*g to l + i*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*r + 9 = -3, -3*r = i - 4. Find the second derivative of 8*w**4 + 3*w + w**i - 6*w**4 + 2*w**4 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 13*f**2 - 18*f + 6. Let w be t(11). Calculate the highest common divisor of w and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let g(k) = 6*k - 5. Suppose -10 = -2*a - 0. Suppose 0*s - 6 = s. Let h(j) = 7*j - 6. Let n(q) = a*h(q) + s*g(q). What is w(n(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - t - 7 = -z, t = 4*z - 25. Let p be (10 + -13)*(-8)\/z. Suppose -2*f = -p*f. Solve -3*m + 12 = 2*l, 2*m + l - 1 - 7 = f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 1.64. Let q = -0.5 - d. Let y be ((-1)\/15)\/(29\/174). What is the nearest to y in q, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, -0.06, 8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -632, -5030, -16966, -40208, -78524, -135682, -215450?\n\"Answer: -628*q**3 - q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*y = c, 4*c - 27 = -5*y. Suppose -2*f = 4, 2*h = -c*f + 1 + 3. Solve -3*a = -12, -4*a = -2*m + h*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5261 - 809 = -2350*i + 980 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*o - 253*o = -1. What is the hundreds digit of (-10)\/(-50) - o\/((-10)\/10518)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1512 = -d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22\/5)*b*b**13*(b*b\/(b\/(((b\/b**(-3\/49))\/b)\/b*b*b))*b)**(-2\/37))**(3\/5) assuming b is positive.\nAnswer: b**(256572\/45325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20481 is divided by 1013.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by (-294)\/(-6) + (2 - 14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*f - 23, 4*n - 9 = 3*f - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmbyes. Give prob of picking 1 s and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -33\/4, 0.3, 2\/4269?\nAnswer: 2\/4269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-112)\/6*(-42 - (-6924)\/(-7)).\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t. Let v(z) = -8*z**2 + 4*z + 3. What is -4*d(r) - v(r)?\nAnswer: 4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -4022527.\nAnswer: 7\/4022527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 5\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and (4 + -1)*(-9)\/27*-73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*l + 4285 = 0, -4*b + 4*l + 3416 = 6*l. What is the highest common factor of b and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:24 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 599999*h**2 - 4*h + 5. Let q be o(-5). What is q rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4 + 35, s - 391*n + 158 = 2*s - 386*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -135, -131, -127, -123?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h**2 - 5*h**2 + 23 - 24 + 37*h**2.\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 8*h + 42375, 2*n = 3*h + 13234 + 3717. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*g + g. Suppose g*w + 4*b = 0, -5*w - 4*b = -1 - 7. Suppose -2 = -w*u + 2*u. Let z(v) = -12*v**3 - v. Determine z(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-4 - 87*8\/(-168)). Solve 5*x - 4 = 4*s + z, x - 5 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.311516 kilometers?\nAnswer: 1311.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 38 - 45*q - 70 + 61. Is b(-20) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 28 + -2 - 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(65\/(-2145)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -8. Suppose 4652 = -v*a + 19*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Let o be -1*(m + 2) + 2. Solve o - 1 = 4*b + 5*f, 0 = -2*b + f + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(78))\/(sqrt(243) - (sqrt(243) + 2*sqrt(243))))\/(-1*(sqrt(32) + sqrt(2592)*6)).\nAnswer: -sqrt(13)\/990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-128)\/20)\/4. Suppose 6 = -2*u + u. Let t = u - j. Let x(l) = l + 1. Give x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 + 21*r**2 + 3*r**4 - r**4 - 2*r**4 + 6*r**4 - 2*r**4 - 3 + 2*r**4 + 3 + (0 + 4 - 3)*(2*r**4 - 4*r**4 + r**4) - 2*r**4 + r**3 - r**3.\nAnswer: 3*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i**2 + 54*i**2 + 111*i**3.\nAnswer: 111*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c)**(2\/11)\/(c**4*c*c*c**(-4)) assuming c is positive.\nAnswer: c**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:33 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0.3 (b) 4 (c) -0.1 (d) -41 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 1, f: 8, x: 2, o: 1}. What is prob of picking 1 h and 2 c?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1376, -2774, -4170, -5564, -6956?\n\"Answer: g**2 - 1401*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 19. Let b(p) = -p + 4. Let f(q) = -11*b(q) - 2*v(q). List the prime factors of f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 1. Let h be a(-2). Let x = -26 + 26. Let u be 15\/(-25)*(x + 15). Which is greater: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3231*s + 687*s + 6089*s - 1491*s + 2 + (2 - 5 + 2)*(6*s - s - 3*s) as l + n*s and give n.\nAnswer: 8514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167254897 to the power of 1\/2, to the nearest integer?\nAnswer: 12933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20540824*p**4 - 22*p**2 + 128958?\nAnswer: 492979776*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 8*b - 7. Let m be j(5). Suppose -29*k + 76*k = 26*k. Solve m = 2*f + 2*w, 0 = f - k*f - 2*w + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -96*g**4 + 70*g**4 + 172*g**2 + 4*g**3 + 8*g - 3*g**3. Let d(c) = -c**2 - 2*c. Let h(j) = 4*d(j) + f(j). What is the third derivative of h(m) wrt m?\nAnswer: -624*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(114) - sqrt(114)*-3)*-4*-3)\/(sqrt(486) - (sqrt(486) + sqrt(486)*-1)*5))*1.\nAnswer: 1 + 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*u - 330 = 0. Let l = u - 35. Suppose -5*w - 53 = -3*m, 2*m - m + 2*w - 25 = 0. Is l <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 + -318. Let w(s) = s**3 + 5*s**2 + 3*s + 3. Calculate w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -1\/10*z**5 + 0*z**4 - 2*z**2 + 4\/3*z**3 + 0*z + 0 + 1\/120*z**6. What is r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61998576.\nAnswer: 2, 3, 1291637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5623989864?\nAnswer: 2, 3, 509, 460379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 36 = 13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0124229 and 4?\nAnswer: 4.0124229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 6940.\nAnswer: 20820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -63432?\nAnswer: -63425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 4*x + 24, 0 = 4*n - 4*x - 44. Calculate the highest common divisor of 110 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, 4 in ascending order.\nAnswer: -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 111036*i + 555147. What is u(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.96 - 0.04. Let q = 3 + p. Which is the closest to q? (a) -0.5 (b) 0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-275) + 16\/11. Solve 0 = -v, 0 = 3*p + 6*v - u*v + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 204*o - 1512.\nAnswer: -4*(o + 9)*(o + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 2*m + 3*m + (27 + 9 - 8)*(-5*m + 5*m - 2*m) + (m - 4*m + 2*m)*(1 - 1 - 1) as c*m + i and give c.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4266823.49 rounded to the nearest one thousand?\nAnswer: -4267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(5 + sqrt(7)*2) - (sqrt(112) + 5 + 5 + 2*sqrt(7)))**2 + -2)*-2.\nAnswer: -2196 - 800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1092.89 + -1093. What is the third biggest value in d, -3, 3\/7, -24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/24528 and 1\/24.\nAnswer: 24528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 f when four letters picked without replacement from pmfypffppmmmympypo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + f. Let q be h(1). Let b(t) = 0 - 1 - q*t + 0*t. Let j(k) = 3*k + 24 - 1 - 22. What is 2*b(u) + 3*j(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 4, z: 1, b: 1, f: 1}. What is prob of sequence bz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*n - n**2 - 58*n + 38*n + n**2 - n**2 + 2*n**2 + (2*n - 4*n + 0*n)*(-n + 1 - 1) - 3*n**2 + 2*n**2 + 3*n**2)*(4 + 5 - 2).\nAnswer: 35*n**2 - 441*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, -239, -843, -1735, -2915, -4383, -6139?\n\"Answer: -144*i**2 + 116*i + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -5\/2*q**2 + 0*q**3 + 0*q**6 - 95\/42*q**7 - 20*q - 1 + 0*q**5 + 3\/4*q**4. What is the third derivative of n(l) wrt l?\nAnswer: -5700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from weefkeefeke.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 692.5758 decades?\nAnswer: 6925.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(85)*3)\/sqrt(5).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.09 + 0.91. Which is the closest to -2? (a) u (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000010100011110100111 (base 2) to base 10.\nAnswer: -14763943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 m when three letters picked without replacement from gmggggfgsfgggssg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/(-22) - 34\/(-126) and 133\/198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by -91946.\nAnswer: 425\/91946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*r = -7*r + 10, -2*h = -2*r + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37725029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1520*p - 80. What is the thousands digit of j(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.906867 decades?\nAnswer: 49.06867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 9. Let l(x) = -22*x + 28. Suppose -4*c + 36 = -4*j + 4, -3*c = -4*j - 28. Suppose 15 = c*y - 5. Give y*l(v) + 16*u(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 0. Suppose 28 = 4*n, -h + 8*n - n = 3*n - 6. Calculate the smallest common multiple of h and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9147673 rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (3 - (-2 + 5)). Let a(n) = n**2 - 5*n + 6. Let b be a(f). Suppose b = -5*w + 15, 3*w + 126 = v + 2*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcpppbppupl. What is prob of sequence lp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16089 = 3*n - n, 16089 = y + n. Let g = 11407103\/709 - y. Let j = -3521\/8508 - g. What is the common denominator of 13\/68 and j?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 46. What are the prime factors of y\/4 + (-4)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhnchhhhnhhhhh. What is prob of sequence ch?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-3 - -24 - 33).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 12*t**2 - 54*t - 27. What is the lowest common multiple of f(-15) and 360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13030113212321 + 2?\nAnswer: -13030113212313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.2 + 10. Suppose -36*y = -35*y - 3*p - 23, 3*y = 3*p + 21. What is the closest to i in y, 0.4, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + (-104)\/(-96). Let l(g) be the third derivative of -g**2 - 1\/30*g**5 - 1\/240*g**6 - c*g**4 + 0 + 0*g**3 + 0*g. Find v such that l(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34918 - -35258. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8813 divided by -8813.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0 - 7*y + 3 - 5*y + 15*y. Suppose 3*h + 6 - 15 = 0. Let s be u(h). Solve -3*m = m - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786607 less than -1.27200804?\nAnswer: -5786608.27200804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16715867?\nAnswer: 7, 127, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 44*x + 1258. Give h(-31).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7304507597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.236 (b) 2 (c) -0.18 (d) -0.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(25 + (-702)\/36)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, -4\/7, -4, -7, 30 in descending order.\nAnswer: 30, 1\/7, -4\/7, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, 1, -2 in ascending order.\nAnswer: -5, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9302 - -9307. Solve -k*w - 3*d + 2*d = -3, -3*w = -4*d - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l - 4*l - 54*l to c + t*l and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04175 or -0.2?\nAnswer: -0.04175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38234?\nAnswer: 2, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - s)*(-s + 0*s - s)*(4*s - s**2 - 4*s) - 2*s - s**4 + 2*s.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*o + o - 10, -5*o = 0. Let z be v\/7 + (-18)\/(-35). What is the nearest to 1 in -0.5, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1171652902 divided by -7.\nAnswer: 167378986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-189 - (-4 + -3))\/(-1*2). Suppose -h*w = -97*w + 36. Solve -8 = c - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/21, 1, 7\/19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18513 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let x(j) = -2*j. Let a(v) = -4*c(v) - 3*x(v). Let h(i) = 5*i**2 - 19*i. What is h(a(f))?\nAnswer: 20*f**2 + 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uibchkb. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96\/56)\/(2\/7). What is the lowest common multiple of 12*(28\/q + -4) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/25, 0, 3511, 1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + (1 - (0 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264542 (base 10) to base 11.\nAnswer: 170833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*s**4 - 2*s**2 - 5207*s + 188968 wrt s?\nAnswer: -20*s**3 - 4*s - 5207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33120 (base 6) to base 15\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -27 + 37 + (-9 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58475 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 494*n + 322. What are the prime factors of s(15)?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {g: 2, i: 6, v: 2, z: 1, e: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -21101102?\nAnswer: -21101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 79 - (2657 - 2684)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1177131, -1177126, -1177121, -1177116?\nAnswer: -1177111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -487 equal to -17056\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1921563636.822 - 1921457938.82100042. Let z = w - 105698. Let c = z - 0.001. Round c to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 11*a + 28. What is y(-15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1400\/490*7\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/60 + d**4\/6 - 4*d**3\/3 + 8*d**2. Determine g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -77.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319090 and 4250.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 206690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11111\/9 in -1\/4, -7, -2, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 49, 78, 107, 136, 165?\n\"Answer: 29*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -268, 1, -2, -3 in descending order.\nAnswer: 1, -1, -2, -3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6201\/(-252))\/13 + 88\/77.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 111*(-1 + 2)\/(-1). Let d = s - -164. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2795, -22134, -74591, -176726, -345099?\nAnswer: -596270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75457 is divided by 343.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-348)\/24 + 17)\/((-5)\/26).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.50691 and 101805631.\nAnswer: 101805630.49309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*p**3 + 2*p**3 + 0*p**3 + (4 + p**2 - 4)*(-2*p + 0*p + p) - 4*p**3 + 0*p + 0*p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8732765 hours to milliseconds.\nAnswer: 3143795.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*p + 3*i, -3*p - 5*i = -2 - 19. Let f(h) = 4 + 5*h - h - 1 - p*h. Let a(q) = -q**2. What is f(a(g))?\nAnswer: 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r - 64. Calculate v(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(4*z**4 - 4*z**4 - z**4)*(5 - 4 + 2) - z**5 - 2*z**5 + 5*z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 633622*f**3*i**3*k + 356628700*f**3*k**2 - f**3 + f**2*i**3*k**2 - f*i**2 - 2*f*i - 2*f*k + 11*i**2*k + 2*i*k wrt k?\nAnswer: 713257400*f**3 + 2*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 25 = -5*g, 0 = -2*c - 4*g + 12 + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14261*m**3*r**2 - 5086*m**3 + m**2*r wrt r?\nAnswer: -28522*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 10532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1005, 1990, 2975?\n\"Answer: 985*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 614, 197, -1007 in ascending order.\nAnswer: -1007, 197, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r + 19*r - 18*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1042 (base 5) to base 15\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66 - 1747*z**3 - 18 + 1718*z**3 + z wrt z?\nAnswer: -87*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 51681916.\nAnswer: 103363832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -4 (c) 2 (d) -2\/9 (e) 1027 (f) 32\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + -0.06. Let t = 0.06 - n. What is the second biggest value in 3, t, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17864.3 rounded to the nearest 100?\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 371188744 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:43 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5 - t**2 - 10 - 3*t - 2*t + t. Let f be -5*(-2 - (-28)\/10). Give i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 17 - 27 = 0. Suppose -m - m - 32 = 0. Sort 3, x, m in descending order.\nAnswer: x, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 5*n + 0*n + (-3*n + 3*n + n)*(1 + 1 + 0) to r + x*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d9 - 5?\nAnswer: -3de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a2a6a - 1?\nAnswer: 3a2a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1139433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16 + 5*s - 12*s**3 - 5*s wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Suppose 8*l - 2 = 30. Let o(c) be the third derivative of 0*c - 2*c**2 + 0*c**3 - 1\/12*c**l + 0. Determine o(a(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 250 (base 6) to base 14\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0147 in -1, -6, -1\/11, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d + 0*d)*(-4 - 1 + 3) + (-13 - 9 - 8)*(-2 + d + 2) + (-4 + 2 + 0)*(-4*d + 3*d + 4*d) - 2*d - 3*d + 6*d - 2*d + 0*d - 2*d as w*d + v and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71\/4*(32 + 4).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86603, 86911, 87219, 87527, 87835, 88143?\n\"Answer: 308*m + 86295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsafc. Give prob of picking 1 w and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20042283619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2080, -10489, -33296, -77701, -150904, -260105, -412504?\n\"Answer: -1200*i**3 + i**2 - 12*i - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1055, -2108, -3161, -4214?\n\"Answer: -1053*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10482 - -18?\nAnswer: 18.10482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 8, v: 2, g: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*((9*d - 4*d - d)*(-4 + 4 - d) + (-1 - 1 + 0)*(d**2 + 3*d**2 - 3*d**2) + 2*d**2 + 0*d**2 - 3*d**2) + 5*d**2 - 2*d**2 - 5*d**2.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*a - 3*s, -42 = -3*a - s + 4*s. Let u be (a\/10 + -1)*15. Suppose -u*v = -4*v - 110. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 376, 30, -5 in descending order.\nAnswer: 376, 30, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r + 21*r + 582 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51122915 times -16?\nAnswer: -817966640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205200 and 65664?\nAnswer: 1641600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91772, 91771, 91770?\nAnswer: 91769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 304395 = -22*o. List the prime factors of o.\nAnswer: 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/10759264?\nAnswer: 1\/10759264","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 2061*g**3 + 8388*g**2 + 66336*g.\nAnswer: -3*g*(g - 8)*(g + 4)*(g + 691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Suppose 3*t - 38 = -j - 12, 2*t - 3*j = 10. Let l be r(t). Suppose -3*n - 3 = 4*s - 41, 0 = -4*s + l*n + 24. Solve -s = -z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 = 246*c - 194*c + 2490 + 147 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 7, w: 1, u: 1}. Give prob of sequence yw.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 28. What is the least common multiple of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 + 51*d**2 + 114*d + 24. Determine v(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2 - 4*p**3 - 4*p**3 + 7*p**3 + 4*p**2. Let z be n(3). What is the third derivative of 12*b**4 + 18*b**2 - z*b**4 - 20*b**4 wrt b?\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) 0.3 (c) -4 (d) -0.9 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(-4 + 0 + -3 + -1*sqrt(1584) + 5 + -5))**2.\nAnswer: 2592*sqrt(11) + 26073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14759 is divided by 13432.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 20*m + 34. What is x(-11)?\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 3 - (-9 - -10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128026 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*c**2 + 426922*c**3 - 426921*c**3 + 0*c + 0*c.\nAnswer: c**3 - 76*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 8*p**2 + 5*p - 4. What is the units digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12036*u**3 - 1341 + 48151*u**3 - 12039*u**3 - 12041*u**3 - 12038*u**3 + 1341.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 37*l**5\/20 - 73*l**3\/3 - 17*l**2. What is the derivative of z(b) wrt b?\nAnswer: 222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56407 = 2434*h + 1945*h - 4899 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 340681163.82.\nAnswer: 340681164.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 - v**3 + 4*v**3)*(-4 + 0 + 2)*(74 + 164 + 10*v - 255) to s + u*v**4 + a*v + r*v**2 + b*v**3 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/3980682 and -23\/451844.\nAnswer: 565256844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 473 (b) 2\/39 (c) -5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:32 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/54*(25 + -16)*5\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145395720.\nAnswer: 2, 3, 5, 403877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0 - (4 - (3 + 1)). Let k(i) = -5*i**3 + 4*i**3 + 8 + 7*i**l - 6*i + 0*i**3 - 2. Does 10 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2524 (base 9) to base 4.\nAnswer: 131131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4038 + -1555. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 42*l + 311. Give j(-24).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 5*s**4 - 4*s**4 - 13 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m + 11. Let n be u(-9). Suppose -2*x + 20 = -n. Suppose 0 = -2*t + 150 + x. Calculate the greatest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1456523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttbtn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(2 - 1) + 0. Let g = s + -8. Is -2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m**3 - 2\/45*m**5 + 6*m - 1\/360*m**6 + 0 + 2*m**2 + 1\/315*m**7 - 5\/72*m**4. Determine c, given that u(c) = 0.\nAnswer: -1, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54865 divided by 5\nAnswer: 10973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - 5) + (-57 - -52)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 64952?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359 (base 13) in base 2?\nAnswer: 10010010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8008 = -39*x + 325*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10018138?\nAnswer: 2, 13, 509, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 - 2*y - 4. Calculate v(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + (-2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3132 times 4?\nAnswer: -49.2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 16*q**2 + 65*q - 11. Give b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/2 - 8489*c**2 + 101806*c - 169660 = 0.\nAnswer: 2, 10, 16966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:04 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2436.3 - 2436. Let k = 27 + -14. Sort z, 4, k, 1\/3 in decreasing order.\nAnswer: k, 4, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1134 - -1139. Let n = -0.2 + 0.2. Sort 4, o, n in decreasing order.\nAnswer: o, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 11209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190930957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/6 - 5*r**3\/6 + r**2. Let c be j(4). Calculate the remainder when 65 is divided by 42\/2 - 1 - (-8 + c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.59 rounded to one dp?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1 + 2 - 16*f + 0 - 175*f. Let d be a(-1). Suppose -y + d = y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 31934*d\/5 + 31936\/5.\nAnswer: -2*(d - 15968)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, 15 = -5*r - 3*q + 3. Let l be r*(-1)\/4*1. Suppose 11*g - 4*g = l. Let c(f) = -f - 2. Determine c(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(17) - sqrt(17) - (sqrt(153) + 5).\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -3, 187 in descending order.\nAnswer: 187, 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -1, 3, -3.\nAnswer: -13, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, i: 2, r: 2, g: 5, h: 1}. What is prob of sequence kiig?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2693183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxod when four letters picked without replacement from dxooxxddddooo?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*i**2 - 378*i + 378*i)*(-i + 0*i - 2*i)*(3*i**2 + 0*i**2 - 14*i**2).\nAnswer: 1287*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193192 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 28*s**2 + 4*s**4 - 6*s**3 - 12*s + 68 - 14*s**3 - 68 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2 - 15*o + 10. Let n be i(7). Suppose -5*t + 65 = 3*f - 0*t, n*t + 15 = 0. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1.4, 47, -2, 3, 59 in ascending order.\nAnswer: -2, -1.4, 0.1, 3, 47, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 - 8657696*o - 9369462503552 = 0?\nAnswer: -2164424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d + 183 + 2531. Let x = d + 149. Solve 6*v + x = 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 6*f - 22. Let s be i(-9). Suppose 3 = -s*h + 153. Let v be (0 - (-6)\/(-12))*-4. Solve -q + 2*t - 5 = 0, -v*q = 2*t + 2*t - h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95199169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 4*u - 4. Let i(k) = k**3 + 3*k**2 + 3*k + 4. Let y be -6*1*(-1)\/(-2). Let x be i(y). Let d(s) = 3*s**2 + 5*s - 5. Give x*t(w) + 4*d(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 171, 195, 271, 429, 699, 1111, 1695?\n\"Answer: 5*h**3 - 4*h**2 + h + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.6, 428, 4, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19618.61 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -153, -1022 in decreasing order.\nAnswer: 37, -153, -1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60227\/4 greater than 15056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 206, 212, 220?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/51 - -43\/204. What is the nearest to n in 2\/9, -7, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/34 - 36\/(-36). Sort -2\/5, 1\/4, 2, u in descending order.\nAnswer: 2, 1\/4, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Suppose 3*l - 6 - o = 0. Suppose l + 27 = 3*r. Solve r = -2*x + 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10*600\/240)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 4. Let d be s(-6). Suppose -d = -4*m + 20. Suppose 0 = -a - l + 885, -4*a - m*l + 4*l + 3548 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 2*b. Suppose 3*j - 4 = 2*h, 3*j - 7*j - 3*h + 11 = 0. Let r(d) = 2 - 8 + 11 - 2*d - 5*d**j. Let s(m) = -m**2 - m + 1. What is b*r(n) - 4*s(n)?\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16499171.8 rounded to the nearest ten thousand?\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -1.6. Let q = -513 + 511. What is the nearest to k in -0.2, -1\/23, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/15*(-2)\/18. Let a be (-336)\/24*(-5)\/70. Are q and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 + 107*c - 59. What are the prime factors of u(45)?\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/187415 and 89\/20?\nAnswer: 749660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/9468 and -133\/60.\nAnswer: 47340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 416\/91 + 4\/(-7). Let d(f) be the second derivative of 1\/4*f**j + 0*f**5 + 0*f**2 + 0 + 0*f**3 - 1\/15*f**6 - f. Find the third derivative of d(p) wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b + 3. Let y be j(-1). Suppose 0 = -y*z + 317 + 959. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6569 + -4485. Let h = -1075 + a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 11*a**2 - 12*a + 11. Calculate the remainder when o(12) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022012 (base 3) to base 6.\nAnswer: -33135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2442.6000022078 - -2442.6. What is l rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, c: 2, a: 1, m: 4}. What is prob of picking 1 d and 1 m?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 17*z**2 + 29*z - 17. Let t be y(-15). Let b(x) = x**2 - 3*x - 5. Determine b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3533430 (base 6) to base 3.\nAnswer: -100022210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00337405 to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-109 + (-18 - -12 - -9 - -10))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from mfkuout.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985413131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/4 + (-2)\/(-8). Suppose 5*v = -7 - r. Is 14 + 1 + v - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943215 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-318)\/4293 + (-191)\/(-432)*-11 and 19\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*j**2*s - 7661*j**2 + j*s**2 - 4*s**2 + 932072*s - 2 with respect to j.\nAnswer: 92*j*s - 15322*j + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2487210\/7 + -355978. Which is smaller: u or -662?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.651996 meters in nanometers?\nAnswer: 4651996000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/18*b**4 + 14*b + 0 + 1\/12*b**3 + 1\/12*b**2. Factor c(w).\nAnswer: -(w - 1)*(4*w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*v + f + 105, 5*v - 121 = f. Let a be (-1 + 1 - -6)*(-728)\/(-208). Suppose v*k - 2860 = a*k. Round k to the nearest ten.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*l - 45 = 0, 1907*y - 1902*y + l = 13. Solve 4*k + y = 3*q, 5*q - 2 = 4*q + 3*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:26 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -159, -428, -815, -1326, -1967?\n\"Answer: -j**3 - 50*j**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15228.907 and -0.5.\nAnswer: -15229.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2*r. Let v(u) = -u - 8. Let l(a) = a + 8. Let g(b) = -3*l(b) - 2*v(b). Let i be g(-7). Let j be i\/((21\/(-12))\/7). What is d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 8:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4279279, -4279280, -4279281?\nAnswer: -4279282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1487781860 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + (-32 - -24 - -40).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 6678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - -1 - (8 - (36 - 31)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 4*o + 1. Let l be u(-6). Let x be 10 - l - (0 - 2\/1). Which is the second smallest value? (a) 0.5 (b) x (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l - 40. Let a be p(11). Suppose -a*k - 48 = 4*j, -5*k = -7 + 32. Let d(u) = u**2 + 7*u + 5. Let i be d(j). Solve -g - 12 = -i*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3021, 11975, 26875, 47715, 74489, 107191, 145815?\n\"Answer: -k**3 + 2979*k**2 + 24*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 68 + 152. Let j be (-6)\/(-4)*(4 - 0). Let t = j + p. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 18*h - 18. Let f(z) = z**2 + 3*z - 3. Let v(t) = -6*f(t) + s(t). Let g(n) = -12163*n. Calculate v(g(y)).\nAnswer: -147938569*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8559185 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 60*x**2 + 3*x. Let o(a) = -968*a - 2. What is u(o(f))?\nAnswer: 56221440*f**2 + 229416*f + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3245 = 55*f - 2475. Let j be ((-2 + 1)*78)\/((-3)\/26). What is the greatest common divisor of j and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t + 1. Let m(w) = -w**2. Calculate m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/33)\/((-539)\/847)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*c = 2919, -2*c = 2*u + 2*c - 5862. What is the remainder when u is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**2 - 62 + 121 - 58 + 49*z**2 as m*z**2 + q + j*z and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 842. Let x(j) = 49*j**2 - 57 - 97*j**2 + 47*j**2 + 57. What is p(x(q))?\nAnswer: -2*q**4 - 842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + 47. Let y = m - 120. Let z = -3.4 + 1.4. Which is the third biggest value? (a) y (b) 23 (c) z (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/30 - 7*b**6\/60 + b**4\/24 - 111*b**3\/2 - b**2 + 36*b + 3. Find the second derivative of i(v) wrt v.\nAnswer: -84*v**2 - 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63 - -3) + -15 + 20\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446038 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4983991 and 877.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**3 + 7*n**2 - 6*n - 24. Determine b(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23449 and 189.\nAnswer: -4431861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3095*j - 3091*j = 239444. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -4 (c) -30.74 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*v**4 + 30*v**4 - 20*v**4)*(-5 + 1 + 2)*(13 - 3 + 2) to s*v + p*v**3 + g*v**2 + m + b*v**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 + 25536087*v - 25536084 = 0. What is v?\nAnswer: 1, 8512028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 63. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430189860 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 232*i**2 - 3*i**2.\nAnswer: -235*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 1f19?\nAnswer: -1f23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 800 and 80?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 12*n - 14*n = -18*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*d - d + 9, 8 = -2*p. Let q(r) = -r. Let h be q(-4). Sort d, h, -3 in decreasing order.\nAnswer: h, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 26*u, -4*x + 7*x = -3*u + 27 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.289 or 22?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 1487 = -o - 5*n, -o + 1401 = -4*n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 592090.5 millilitres?\nAnswer: 592.0905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 497448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 3, -2 in ascending order.\nAnswer: -63, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zspvszsvsepsvzshesvv. Give prob of sequence he.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**3 - 14*o**3 - 21*o**5 - o**2 - o**5 + o**2 + (-3*o**2 - o**2 + 3*o**2)*(0*o**2 + 0*o**2 + o**3).\nAnswer: -23*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/20*4 + 1. Let v be (-570)\/9 + 1 + -2. Let p = v - -65. Which is the nearest to -2\/3? (a) s (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662355.\nAnswer: 3, 5, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5 + 47. What is the common denominator of -3 - -43*5\/20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 28 - (5 + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18\/h*h)\/(h*h*h*h**(-11\/5)) assuming h is positive.\nAnswer: h**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 76705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(55) - 6*sqrt(1375)))\/(sqrt(20)\/(sqrt(4) - -5*(sqrt(4) + (sqrt(4) - sqrt(64))))).\nAnswer: -522*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1309205*s**3 + 40585370*s**2 - 465*s = 0. What is s?\nAnswer: 0, 3\/261841, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -5 - 4 - -3. Is 9\/146 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q**2 - 13*q**2 + 1110*q**3 - 1109*q**3. Let l be (-21)\/(-5) - 5\/25. Let h(b) = 3*b**3 - 7*b**2 - 1. Give l*h(n) - 14*y(n).\nAnswer: -2*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -4460125763\nAnswer: 4460125763.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3712a (base 11) in base 15?\nAnswer: -10c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m. Suppose 326*j + 802 = 256 - 758. Let i(c) = -8*c - 1. What is j*n(x) - 3*i(x)?\nAnswer: -4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j + o - 21, 22 = j + 2*o. Let d = j + -16. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2 + (-380)\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 117 - 25 = -3*x, -x + 4*i + 52 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*f - 1, -4*f - 5 + 25 = 0. Let v(n) = -n**2 - 2*n - 4. Determine v(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + c - 2. Let n(h) = 1362*h**2 + 1589*h - 3178. What is 3178*i(y) - 2*n(y)?\nAnswer: 454*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:43 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-523)\/(-5) - 5\/(25\/(-2)). Let w be (k\/(-20))\/7 + 10\/24. Let s = 0.04 + -0.34. What is the closest to -1 in 3, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -2\/1715, 78, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1318506 by 3.\nAnswer: -439502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1)\/sqrt(2))\/(6*-2*sqrt(3)) + -5.\nAnswer: -5 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 7. Let q be b(3). Let d be -99 + q + 7 - 3. Let i = 654 - d. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 46641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31347007 to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524, 506, 454, 350, 176, -86, -454, -946?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1902 + 2094. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, -3, -2, -14, 5 in descending order.\nAnswer: 362, 5, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175223.72 rounded to the nearest 100?\nAnswer: 175200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -o - 6, -1 = 3*u + 2*o + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9, 2*a + 4*f - f = -9. Suppose 4*y + a*o + 2*o - 46 = 0, -25 = -2*y + o. Suppose -13*g + 54 = -y*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tonn when four letters picked without replacement from nttnwwonoonnnnnntnw.\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 + 4*u - 11. Suppose 0 = -39*z - 26*z - 92*z + 314. What is w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 + 80*l**2 + 85*l = 0. Calculate l.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -161. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2736) + (3 + sqrt(2736) + sqrt(2736) + (sqrt(2736) + -2)**2 + sqrt(2736) - sqrt(2736)))*1.\nAnswer: -60*sqrt(19) + 13715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w + 4. Let m be y(5). Let i = 2 + m. Let b(h) = 5*h**3 - 2*h + 1. Calculate b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -10 + 12 - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5*k + 160. Calculate t(-12).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 19*s**3 - 5*s**3 + 11*s**3 + 6.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1356 and 16?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w - 12. Let d be x(-6). Let j be (-1)\/(3\/6) + 2 + d. Solve -3*g - 14 = l, 5*l + j = -6*g + g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 2468, 3706, 4946, 6188?\nAnswer: 7432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -7\/10*v**5 + 1\/2*v**3 + 0*v**4 + 7*v + 0 + 0*v**2. Find the second derivative of q(m) wrt m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/22 and (18\/264)\/(6\/(-164))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -36\/55, 0.12?\nAnswer: -36\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14157 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 1289*b - 1293*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*d**2 + 199*d**2 - 78*d**2 - 54*d**2.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9592 and 186350978?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 - v**5 + 3*v**5 + (-3*v + v + 4*v)*(0*v**4 - v**4 - v**4) - 3*v**2 - 4*v**5 + 3*v**2 + (-1 + 3 - 4)*(4*v**5 - 4*v**3 + 4*v**3).\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 5*g = 113, -3*g = 5*k - 177. Let u(a) = 2*a**2 - 7*a + 4. Let w be u(8). Suppose 3*r = -r + w. Calculate the remainder when k is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(245) + 0 - (sqrt(5) - sqrt(5)*1*3)**2.\nAnswer: -20 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -19 + (-14 + 3 + -2 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 (base 3) in base 4?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22939669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let v = -1 - n. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6313*r = 6466*r - 1836 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, n: 5}. What is prob of sequence xxxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 609068902 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*r**3 - 484*r**3 - 563*r**3 + 159*r**3.\nAnswer: -1062*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(228)\/sqrt(4))\/(sqrt(147)*2 + sqrt(147) - sqrt(3) - sqrt(3)).\nAnswer: 6*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 797 - 201?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) - (-36)\/8. Suppose -7*y**3 - 15*y**4 - 12*y**g - 2*y**3 - 6*y**2 = 0. Calculate y.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4529, -9977, -24763, -53555, -101021?\nAnswer: -171829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*x + 18, -u - 5*x + 6 = -4*u. Suppose u*m = 654 + 1566. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, w: 1, b: 4, j: 4, m: 3}. Give prob of picking 2 m and 2 j.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186680, 373357, 560034, 746711, 933388, 1120065?\nAnswer: 1306742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -a78510?\nAnswer: -a78506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3542 = -288715*n + 288393*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 193527574*f + 9363230474581369.\nAnswer: (f + 96763787)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/97 (c) -2 (d) 1\/4 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**8*j**(-3)\/j**11)**26 assuming j is positive.\nAnswer: j**(-988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 123. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/5 + 2761*h**2\/5 - 1887707*h\/5 - 25008997\/5 = 0. What is h?\nAnswer: -13, 1387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 32*x + 267. Give k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-6)\/(-8))*-4. Let i be (-1 - g)*(-1 - -3). Let t(y) = y**2 + 9*y - 8. Let m be t(i). Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 275, 267?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0635, -0.4, 1.2, -3, 0.02, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 30*x + 21. Give i(20).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {c: 3, q: 2, y: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 6, i: 3, g: 5}. What is prob of picking 1 i, 1 w, and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -29*k**2 + 20*k + 4. Let u be s(6). Let m = 2136 + u. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 750 = 250. Is f a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1416 (b) -38 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let y = 131 + -128. Let z be (-8806)\/((-4)\/n) - y. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4. Let b(s) = -785*s**2 + 513*s**2 + 282*s**2. Determine b(q(w)).\nAnswer: 10*w**4 - 80*w**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l - 13. Let w be i(9). Solve r + v + 1 = 0, -2*r + w*v - 16 = -0*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 462870 and 20.\nAnswer: 9257400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 620? (a) -2 (b) 0.4 (c) -48 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*o**5 - 16\/5*o - 46\/5*o**2 + 14\/5*o**4 + 32\/5 + 14\/5*o**3 = 0 for o.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.03195417?\nAnswer: -0.26804583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730216.\nAnswer: 2, 97, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13978 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-6)\/27*3. Let n(h) be the third derivative of -h**7\/1260 + h**6\/720 + h**4\/24 + h**2. Let s(m) be the second derivative of n(m). Calculate s(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 - 712*b - 31. Determine n(-23).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1849 + 1849 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8158\/3 - -31927\/12. Let q = 14327\/244 + r. Is -1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/207)\/((-1)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/7)\/h)\/h*h**(-4)\/h*h)**(16\/7) assuming h is positive.\nAnswer: h**(-576\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 225*n**3 + 24*n - 224*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*a + 19 = 0, -6*b = -9*b + a + 7. Put -94, b, -10 in decreasing order.\nAnswer: b, -10, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 983\/9. Let z be 0 + -1 + (-4)\/(-8). What is the third biggest value in 0.5, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213216 (base 10) to base 14\nAnswer: 579ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, -12, -209, -420, -651, -908?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*((sqrt(288) - (-2 + sqrt(288))*-5) + sqrt(288)))**2.\nAnswer: -6720*sqrt(2) + 56845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*d**2*i**4 + 12*d**2*i - 16*d - 153*i**5 + 1497*i**2 wrt i.\nAnswer: -7080*d**2*i - 9180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*u - 14 = 0, 5*u - 21 = -w - 2*w. Let a(i) = i**2 - 6*i + 2. Suppose -12*f = -10*f - 68. Calculate the remainder when f is divided by a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (3 - 2))\/2. Suppose x = 6*l - 10*l + 396. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 2, w: 4}. Give prob of sequence bb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12188700 divided by 4062900\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 15*h. Calculate l(-11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 26, 14, -14, -64?\n\"Answer: -n**3 + n**2 + 2*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/22*8\/90?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4963 + 5*j**3 + 5*j**3 + 4961 - 6*j**3.\nAnswer: 4*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/60 and (-1557)\/12012 - 70\/(-735)?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.1. Let p = -74 + 58. Let h = -21 - p. What is the second biggest value in h, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43\/4, 0.19, 2?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dygbgaggayyyaaad. What is prob of sequence bad?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 42 = 3*t, 2*f - 5*t = 37. Suppose -27 = -5*r + 2*v, -2*r + v = -0*v - f. Let w = 6033 - 5978. What is the highest common factor of w and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 261 - 2*k**2 - 89 - 86 - 86.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1461, 2939, 4417, 5895, 7373, 8851?\n\"Answer: 1478*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.071? (a) 1\/6 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1630.758l to millilitres.\nAnswer: 1630758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165925861?\nAnswer: 73, 2272957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010000 + 10010?\nAnswer: 101010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-78)*((-1353)\/168 + 8)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 - k**3 + k**3)*(1 + 3 - 2) + 2*k**3 + 8*k**3 - 5*k**3 + 5*k**2 - 5*k**2 + 7*k**3 to the form g + p*k**3 + m*k + b*k**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 5. Let y be s(-4). Let b = -19 + y. Let g(m) = -m + 7. Let i be g(b). Let d(w) = 6*w**2. Calculate d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g - 80. Let f be m(6). What is the third derivative of -2*q**4 + 244*q**3 + 26*q**2 + 20*q**2 + 4*q**f - 266*q**3 wrt q?\nAnswer: 48*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2. Let j(y) = 20*y**2 - 1. Give j(k(p)).\nAnswer: 320*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**3 + 4*k**2 - 2*k + 5. Let l(i) = 10*i**3 + 3*i**2 - 2*i + 6. Calculate 6*l(d) - 7*s(d).\nAnswer: -3*d**3 - 10*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 4*z**2 - 4*z**2 + (-43 - 45*z + 43)*(-348*z**3 - 432*z**3 + 833*z**3) to y + f*z**3 + b*z**2 + n*z**4 + k*z and give n.\nAnswer: -2383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 - 350 + 5*n + n + 687.\nAnswer: 6*n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1411*i - 95. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.77 - 1.77. What is the nearest to p in 0.4, -0.8, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7*h**2 - 5*h + 7. Let d be z(-6). Suppose 0 = -4*j + 17 - d. Suppose j*g - 28 = -2*o, -1 = 2*g + 5*o - 7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3002*j + 1468*j + 1425*j - 3488 = 0 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 3*d)*(-3*d**3 + d**3 + 0*d**3) + d**4 + d**4 - 4*d**4 - 3 - 11*d - 5*d**4 + 11*d.\nAnswer: -11*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56515131209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyry when four letters picked without replacement from {r: 10, y: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 + 698*m - 4389. What is n(51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*m + 39 = 9, -3*m + 37 = 5*w. Suppose -w*k = -3*p + 5, -5*k + 8 = -2. Suppose p = 4*n - 3*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0. Let z = -14 - -8. Let n = -5 - z. What is the closest to n in y, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444579, -888430, -1332281?\nAnswer: -1776132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328912189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*a - 351 = 357*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 11043*12\/6588)\/(14\/4)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 14}. Give prob of picking 4 c.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6940730 and 339470.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 2, c: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - d**5 + 2*d**4 + (9*d**3 - d**4 - 6*d**3 + 0*d**3)*(4*d - 4*d + 8*d) + 8*d**5 - 8*d**5 - 16*d**5.\nAnswer: -25*d**5 + 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 112*z - 13*z - 61)*(-15*z + 11*z + 5*z).\nAnswer: -125*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y)**(1\/75)\/(y\/y**(-1\/5)*y**(2\/13)))\/(y**(-1\/8)*y**(-3\/8)*(y**(-1)*y)**(-13\/4)) assuming y is positive.\nAnswer: y**(-4969\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let o(z) = 4. Let u(v) = -6*n(v) + o(v). Let l(t) = -t - 6. Calculate -2*l(w) + 7*u(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56718 and 4110?\nAnswer: 283590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 132 (c) -2\/9 (d) 4079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 44. Let t(i) = -5*i**2. Calculate t(u(d)).\nAnswer: -45*d**4 + 1320*d**2 - 9680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4614?\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -6.88. Let o = i + 11. Let u(z) = z - 6. Let w be u(7). Put 0.1, o, w in descending order.\nAnswer: o, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5225 - -8727. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 43031?\nAnswer: 43035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1469, 5895, 13281, 23633, 36957, 53259?\n\"Answer: o**3 + 1474*o**2 - 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d = -4, -a + 18 = -d. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013 - 101302?\nAnswer: -102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a + 43*a + 38*a + 0*a - 2*a + 0*a + (-a - 2*a + a)*(0 - 3 + 4) + 4*a - 3*a - 2*a + 3*a - 3 + 3 as s*a + h and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -17. What is the highest common factor of 45 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365408973.\nAnswer: 3, 47, 863851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714556\/50382 + (-2734)\/110727 + -34?\nAnswer: 2\/311","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, 1, -486.7, 5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-27) - 35350\/(-1575).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b - 17*b**2 + 8*b + (-1 + 1 - b)*(3 - 5 - 4)*(2*b - 3*b + 3*b))*(-1 + 1 + 2*b**2) - 101*b + 101*b - b**4.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -115, -156, -209, -274?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -40. Let v(d) = -73*d**2 - d + 58*d**2 + d + f. Calculate v(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022122021200 (base 3) to base 14.\nAnswer: -241478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12775 + -12775.8. Are 1\/609 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*d**6*t + d**6 + 36*d**2*t + 5*d*t - 1 wrt d?\nAnswer: -13680*d**3*t + 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:16 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277991.\nAnswer: 109, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -889.18.\nAnswer: -889.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-6) + 9)*(-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + 3*x)*(-x**4 + 2*x**4 - 3*x**4) - 4*x**5 + 4*x**5 - x**5 + (7 - 3 - 3)*(-377095*x**4 - 170*x**5 + 377095*x**4).\nAnswer: -173*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 1326*l**3 - 3*l + 1331*l**3.\nAnswer: 5*l**3 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4051751247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7543.2 to the nearest 10.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t)\/(t\/(t*t\/(t*t**(3\/5))))*t**(-1\/4)*t*t*(t*t*t*t**(2\/7)*t*t)\/t assuming t is positive.\nAnswer: t**(941\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5357*a**6\/120 - 357*a**3\/2 + 38*a**2 + 4*a - 8. What is the first derivative of g(p) wrt p?\nAnswer: 16071*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:12 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1021433 (base 6) to base 15\nAnswer: ea89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000986131212 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose -j*n + 4*n = 6. Let l = 0.016 + -0.166. Which is the third smallest value? (a) 5 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113219*b**2*q**2 - 2348*b**2*q - 2*b**2 - 2*b*q**2 + 3*b wrt q?\nAnswer: -226438*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:06 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z. Suppose o = -2*v + 26, -3*o - 6 = 12*v - 13*v. Suppose -2*c + 9 = -2*w + w, -c = 2*w + 3. Let m(n) = 6*n**2 + 4*n. Give c*m(g) + v*r(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 656*v**2 - 87244*v - 548. What is w(133)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*o**2 + 119.\nAnswer: 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (2688*3\/(-3))\/(3\/6 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 139. Which is the fourth smallest value? (a) m (b) 3 (c) -0.08 (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 58800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - 6) - (5 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 234794 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143106.4 millilitres to litres.\nAnswer: 143.1064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4))**(-23)*p\/(p*p**7)*p**(-1))**(10\/11))**15 assuming p is positive.\nAnswer: p**(-675\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052325 rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(5\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o - 10. Let i be l(10). Let a = i - -2. Suppose -2*n - a = -6*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 7*a + 928 = -24*a + 28*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = -58*g + 2*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/3536 - 162\/(-26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79565 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 1, b: 2, n: 1, z: 2, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 9) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 0*q + 0*q + 0*q**4 + 0*q**4 + q**4 + (-q**3 + 2*q**3 + 0*q**3)*(4*q + 9*q - 2*q) + (0 + 0 + 2*q)*(3*q**3 + 0*q**3 - q**3).\nAnswer: 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f = 105. Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/5 (b) 0.16 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 966? (a) 17 (b) 2\/7 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 8 = -8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Suppose -6 = -3*f - 0*f. Let b(l) = l - 4. Let t be b(f). Sort t, -5, c in descending order.\nAnswer: t, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Let h be (1\/(-9))\/(2\/(-6)). Which is the closest to j? (a) h (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-5 + sqrt(42)\/sqrt(6) - sqrt(7)*4*-6) + -4.\nAnswer: -150*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 266\/3. Let u(j) be the first derivative of 0*j + 0*j**2 - 1 - h*j**3. Let v(l) = -3*l. Determine v(u(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/102 and 103\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13291 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, 2, 0, 30, -2.\nAnswer: -2, 0, 2, 5, 30, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11859, -11992, -12355, -13062, -14227, -15964, -18387?\n\"Answer: -19*t**3 - t**2 + 3*t - 11842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 16*w**2 - 7 as g + q*w + t*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**43*x)\/x)\/(x\/(x*x*x**42*x)))\/(((x\/(x**24*x))\/x)\/x**(-10)) assuming x is positive.\nAnswer: x**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -28*h + 28. Let t be n(1). Solve 5*a - 14 - 1 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/4 - 9191*y**2\/2 + 84474481*y\/4 = 0?\nAnswer: 0, 9191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 752*c + 4440.\nAnswer: 2*(c + 6)*(c + 370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4))**(-28)*y**(-10)\/y**1)**(-38) assuming y is positive.\nAnswer: y**(-2774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276174 and 108?\nAnswer: 1657044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.156284 - -10142.943716. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6506931415?\nAnswer: 5, 1301386283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 581424295 to the power of 1\/3, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j - 217. Calculate k(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4 - 55. Suppose w = o - 7. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*y - 260 + 60 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/2 - 3447*i\/2 - 10287 = 0?\nAnswer: -1143, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 22. Let l be t - (32\/(-12) + (-4)\/(-6)). Let o = 36 + l. Calculate the highest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u - 3*t + 422, t = -1. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.102 and 47.189042.\nAnswer: 47.087042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.2, 5\/7, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppspspppppppp. Give prob of picking 1 s and 2 p.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -196, -156, -28, 182, 468, 824?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -236, -241, -248?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 1 + 29*q**3 + 15*q**3 in the form p + v*q**3 + u*q + s*q**2 and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.9 - -4.7. Let j = 58.5586 - x. What is j rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**3 - 25*u**2 - 4*u. Let r(x) = 5*x**3 - 28*x**2 - 5*x. Give 5*l(y) - 4*r(y).\nAnswer: 5*y**3 - 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1*sqrt(17) + 4)**2 - (sqrt(612) + 2).\nAnswer: 10*sqrt(17) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -496*f - 2972. Let i be g(-6). Let n = 10 - -18. Calculate the greatest common factor of n and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27, -1, -47 in descending order.\nAnswer: 5, -1, -27, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 213799643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90, 160, 230, 300?\n\"Answer: 70*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b, 3*x = 2*b + 15 + 3. Let c(o) = -o**2 + 7*o + 11. Let w be c(x). Suppose -2*r - w*f = 3*r - 32, r = -3*f + 16. Solve -r*q = 1 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 95*u + 1. Suppose 5*s - 4 = 1. Let k be x(s). Let t = k + 29. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, u: 5, y: 2, h: 2}. What is prob of sequence uu?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183989311 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:37 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9320412um in nanometers?\nAnswer: 932.0412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 978453376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -1\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3556, 6867, 10182, 13501?\nAnswer: 16824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {e: 1, r: 3, w: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 527594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*a + 2*v - 245, -2*a - 4*v = -182. Calculate the remainder when a is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944090012.\nAnswer: 2, 83, 349, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 c when three letters picked without replacement from cyycccygyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - 7.8. Let a = i - -8. Is a greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 7:49 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 608\nAnswer: 121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -88914 + 684082. Let o be 40\/(-320)*(0 - b\/10). Let y = -1865 + o. Find the common denominator of y and 83\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143.6 + 59.3. Let t = -84 - k. Which is the second smallest value? (a) t (b) -1\/2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*h + 241 + 1568. Let t be 10\/5 - (-4)\/(-2). Suppose t = 4*a - 27 - 9. Calculate the smallest common multiple of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*s - 274*s = 129 - 339 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 1, q: 7, a: 3, o: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 7*y - 4. Let j be b(-8). Factor -r**4 + 6*r**5 - 6*r**j - 2*r**4 + 3*r**3.\nAnswer: 3*r**3*(r - 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyycydcddcycxyyddyy. Give prob of picking 1 d and 1 y.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - 13\/13. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3 + x)*(-2*x - x**2 + 2*x).\nAnswer: -x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 10*q + 875. Calculate the remainder when b(0) is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 6*v**2 - 7*v - 5. Let m be s(-3). Solve 0*b = -4*b + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*t - 140, -t = -0*f - 3*f - 110. Let z = f + 40. Is 34 a factor of (z*17)\/((-8)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 21. Suppose w + 22 = 5*m. Let p = 32 + -5. Calculate the remainder when p is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6 = 22. Let a be (4 - (7 - l))*0. Suppose -4*r - 12 - 4 = 0. Sort 1, a, r in ascending order.\nAnswer: r, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 23139581 - 23139581.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51169304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1388, -5274, -11750, -20816, -32472, -46718?\n\"Answer: -1295*h**2 - h - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3 + 5*h**2 + 8*h - 19*h**2 + h**3 + 0*h**2. Let j be g(14). Suppose -5*i + 10*i - j = 0. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + 0 + -10 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1164.4 - -1170.4. Let o = 0 - 0. Let z = -0.2 - o. Sort 0.3, k, z in descending order.\nAnswer: k, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - t**2 - 5*t - 11. Let c be k(-4). Suppose -c = -5*o + 44. Calculate the greatest common factor of o and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117561 and 1058049.\nAnswer: 1058049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 6.8, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)\/(2*sqrt(10))*-6 - -5*(sqrt(19) + -1)*-3*-2)**2 + -4.\nAnswer: -720*sqrt(19) + 3632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73965952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 17*v = -20. Solve l - 5 = -v*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfff when four letters picked without replacement from {q: 3, f: 3, c: 12}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -30. Put -2, 1, f, 0 in ascending order.\nAnswer: -2, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 153, -251, -16.\nAnswer: -251, -16, 0, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 17 = -x, 4*t - 3*x - 22 + 90 = 0. Let s(l) = -l**3 - 17*l**2 - 6*l - 9. What are the prime factors of s(t)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3756, -154, -7, 5 in ascending order.\nAnswer: -3756, -154, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162097, -162400, -162689, -162958, -163201, -163412, -163585?\nAnswer: -163714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*w - 34. Which is the biggest value? (a) -36 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let j = -19100 + 19103. What is the closest to 3\/4 in j, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/((-29)\/(-6)) - (235250\/5075 + -47)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 9. Let q be u(-4). Sort -8, -4, -2, q in decreasing order.\nAnswer: -2, q, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/6)\/p*p*p*p*p**(-3\/8))**(-4\/11)*(p*p**4*p**1)\/(p**(7\/5)*p*p*p\/(p\/(p**(-1\/2)*p)*p)*p) assuming p is positive.\nAnswer: p**(199\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*h + 2, -3*h - 5*w + 2 - 3 = 0. Suppose 194 = h*f - 115. Let i be 1720*(0 + -3 + f). Round i to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7)\/((-42)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817726.5 millennia in decades?\nAnswer: 81772650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.2 + 72. Let d = -30 + -2. Let r = z + d. What is the third smallest value in r, -6, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q - 2695555 + 494672 = -32*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -11*n + 6*n + 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21034, -21026, -21018?\nAnswer: -21010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/66 and (-328)\/10*(-5)\/(-840)*7.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/(z*(z\/(z\/(z**(-2\/5)\/z)))\/z))**(-16)*((z**(-2))**(-32))**50 assuming z is positive.\nAnswer: z**(15808\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 57*q**3 - 7*q**2 - 314*q - 1212. What is x(-4)?\nAnswer: -3716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*p - 9*p - 29*p)*(30 + 42 - 23)*(1 + 1 - 1) in the form k + x*p and give x.\nAnswer: -3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -9, 0, 2, 5 in increasing order.\nAnswer: -9, 0, 2, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 24, 0.5, -0.5, 1\/11, -32.4285?\nAnswer: -32.4285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 58 + (1 - 3) + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -481586*g**3 + g**2 - 374141*g.\nAnswer: -2889516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6589 - -6593. Solve -4*l = v + m, -2*l = -4*l - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 18*g**5\/5 + 159*g**4\/5 + 117*g**3\/5 - 24*g**2\/5 = 0.\nAnswer: -8, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(1632\/(-18)))\/(5\/20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1872) - (-1 + sqrt(1872))**2) + 0 + sqrt(1872).\nAnswer: -1868 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 312\/91 + 3\/(-7). Suppose -2*t + 436 = 2*t - 2*w, -w + 332 = z*t. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113\/36 - -26\/9. Let p = 2.1 + -2. Which is the closest to 1\/3? (a) i (b) -2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 24 - 28*r - 15*r**3 - 3 + 1 + 13*r**3.\nAnswer: -2*r**3 - 28*r - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u, 666*u + 4 = v + 662*u. Solve 3*y - 9 = -4*h, 5*y = 4*h - v - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 15. Let f be (-7 - -1)\/(4 - 66\/12). Solve q*g - 2*z - 8 = -g, -f = -2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 108. Let o be u(-37). Let j = 0.04 - 0.04. Let w = 0 + j. Put 2\/5, o, w in descending order.\nAnswer: o, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -44. Suppose -5*c = -c + w. Is c + 1 - -4 - -160 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 27*l + 1. Let n(j) = -39535*j. Determine p(n(b)).\nAnswer: -1067445*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012136360513 rounded to four dps?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -161, -80 in decreasing order.\nAnswer: 1, -3, -80, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Let q be 196\/10 - (-72)\/180. What is the highest common factor of l and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 16. Let q be i\/10 - 84\/(-15). Let l(w) = -w**2 + 5*w - 4. Let h be l(3). Solve -2*z - q*p = -2*p + h, -p = z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 19, 22, 25, 28, 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o**(12\/13)*o))*o\/o**6 assuming o is positive.\nAnswer: o**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - j - 1. Let z be f(-2). Calculate the remainder when 9 is divided by -5*((-24)\/(-10))\/z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d**2 + 9*d**2 - 12*d**2)*(1 + 1 + 0)*(4 - 5 - 1).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3894 and 435.068.\nAnswer: 434.6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/74, -0.2, 2, -3.\nAnswer: -3, -0.2, -3\/74, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z + 8*z - 20*z in the form q + a*z and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 48 = 32*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - 3) + -6 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2404 - 3?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2483*l**3 - 2*l**2 - 1816*l - 2 wrt l.\nAnswer: -14898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*w + 12*w + 0*w)*(3 + w - 3)*(-112*w**2 + 47*w**2 - 76*w**2) as l + s*w**2 + r*w**4 + j*w + z*w**3 and give r.\nAnswer: -6345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 122. Suppose -3*g - 1 = -2*g. Let w be 2 + g + (-8)\/6. What is the third smallest value in -0.3, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 6*l + 4. Let q be o(-6). Solve 0*d + 0*d - 2*d**2 + 2*d**q = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -16. Let a(h) = h + 4. Let q be a(12). What is the highest common factor of q and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 8. Let f be p(-4). Solve 5*s + 2*u + 12 = 0, 3*s - 4*u + u = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098\/976 + 1305\/(-648).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154271 divided by -6?\nAnswer: 154271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + -0.04. Is -18 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 50*z + 55*z = 2535, 2*z = -5*a + 4263. Is 1709\/2 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 57. Let f be a(0). Let s = -57 - f. Solve -3*b + 0*b + 6 = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 + 2*l + 1. Let q(x) = -x**3 + x. Let o be q(-2). Give g(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16409022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 27*v + 52. Let a be x(-25). Solve -a*h + 28 = -5*o, o + 4*h + 20 = 8*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.8 - 59. Is -2 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 137, 312, 557, 872, 1257, 1712?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 192871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1*(-14)\/1. Suppose 0 = 2*g + 15 - 71. Suppose 2*m = -3*w + g, 0*m - 2*w = -m + 14. What is the greatest common factor of b and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-2)\/(-4))*0. Let x = -4 - s. Let m be (x\/(-6))\/((-2)\/(-3)). Solve -m - 2 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/47 in 0.457, -4, 39?\nAnswer: 0.457","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -19328, -19323, -19318, -19313, -19308?\nAnswer: -19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7070, -1, 4, -18, -3 in ascending order.\nAnswer: -18, -3, -1, 4, 5, 7070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -858 + 858.2. Which is the third biggest value? (a) 0.02 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -243329*n. Let i(r) = -2*r. Give f(i(b)).\nAnswer: 486658*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u - 9*u**2 + 0*u**4 - 5\/6*u**3 + 0 - 1\/6*u**5. What is the derivative of t(n) wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 5. Let r = 62 - v. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + j**5 + j**3 + j**5 + 3*j**5 - 2*j**5 + (-j**3 + 2*j - 2*j)*(-2*j**2 - 1 + 1) + j**5 + j**5 - j**5 + (4*j - j + j)*(-j**4 + 7*j**4 + 7*j**4).\nAnswer: 58*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 5. Let r be a(0). Let v = -311 - -313. Let z be (-6)\/8*-8 - v. Solve 20 = r*k - k, 5*o - 10 = -z*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1628, -6621, -14940, -26579, -41532?\nAnswer: -59793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:25 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -460.89 + 457. Let x = 0.11 - n. Suppose -2*l + m - 8 = 0, -l + 0*m - m = 1. What is the smallest value in x, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -45\/4 - 3\/4*q**2 - 12*q = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -544 (c) -1317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/8 (b) 3 (c) 31\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/4252?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051*734.\nAnswer: 37.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 337 - 393 = -2*z, 8*j + 69 = 5*z - 61 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -256398756, -512797513, -769196270, -1025595027?\n\"Answer: -256398757*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2952 + -565. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (13 - 11) - (68 - (17 + -5))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (790 + 736 - 1359)*(-4 + 4 + 1)*(y - 2*y + 6*y) to t*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 316.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*-714\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 + 1014\/21. Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 18*o + 4. Give i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert da40 (base 14) to base 4.\nAnswer: 21030320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (18 + -5) - -38.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -155*d + 1. Let b(j) = -j - 81. Let k(z) = -18. Let g(v) = 2*b(v) - 9*k(v). What is g(w(a))?\nAnswer: 310*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -232, -262, -296, -334, -376?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/4)\/(765\/(-204)))\/(8\/(-260))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:41 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 24. Let p be t(-6). Suppose -2*h - a + 828 = p, -5*h - a + 2063 = -2*a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4944*k + 10956 = -3118*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3194632 and 12.\nAnswer: 9583896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330616.9 less than 0.113941?\nAnswer: 2330617.013941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 356, -2, -228, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 126. Suppose w + 4*r = 564 + y, -2*r = -5*w + 2941. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-54)\/(14 - 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 8.4. Let h = 9.59999863 - k. Round h to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19605222?\nAnswer: 2, 3, 7, 13, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3327, 9028, 14729, 20430, 26131?\nAnswer: 31832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 27*k**2 - 121*k + 252. Determine a(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqnmmmgbttttmbtbbtt. Give prob of sequence ng.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24*t**2 - 5*t - 1. Suppose -567 = -4*i - 131. What is the remainder when i is divided by j(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {k: 4, b: 4, w: 4, r: 2, e: 4, l: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2\/13*b**2 - 34\/13 + 36\/13*b = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.6 or 2.518?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*y + 5, y - 28 + 31 = 3*i. Let h(a) = a**2 + 7*a - 2*a + 2*a + 9. Let r be h(-6). Solve r*n - 2 = -2*f, -18 = -4*f - i*n + 3*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 + -1374\/7. Sort -0.5, 3, 2, m.\nAnswer: -0.5, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*s - 1575559980, -10*x = -6*x - s + 1575560004. Round x to the nearest 1000000.\nAnswer: -394000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (8 + -7 - 5 - 3) - -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*q - 205*q + 311*q - 186*q to the form c*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1832)\/1145*5\/(-84).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/2 - 34\/6. Which is the closest to s? (a) 1\/4 (b) 11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -40. Let l(p) = -p**2 - 16*p - 1. Calculate the remainder when l(-7) is divided by (-12)\/n*(-40)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2b?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543468 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)*(80 - 26490\/330)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let v be -1*s\/1*1. Suppose -3*g**5 + 12*g**3 + 5*g**5 - 2*g**2 + 2*g - 8*g**4 - 6*g**v = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/13563 + -13451\/759528. Find the common denominator of 59\/5229 and l.\nAnswer: 41832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) - sqrt(312)*2)\/sqrt(12))\/(sqrt(8)*4).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950823.7 weeks to milliseconds.\nAnswer: 575058173760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 47. Suppose -3*y - 3*r = y - 23, 4*r = -5*y + 29. Let g = k + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -884 (base 11) to base 2.\nAnswer: -10000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2. Let h(w) = 6*w**2. Calculate t(h(r)).\nAnswer: 144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (7 - -2))*562859\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7054 + -7053.9. Which is the closest to -366? (a) -0.2 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -99\/4*v + 57\/4*v**2 + 27\/4 - 9\/4*v**3 = 0. Calculate v.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.66 to the nearest integer.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13467130 and 790?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a factor of 3791281663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194253 + -35253. What is a rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**5 + 0*y**5 + 2*y**3 - 4*y**5 + (-y**5 + 2 - 2)*(-3 - 2 - 2).\nAnswer: 8*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 693*q + 185. Let c be b(33). Let j = c - 14403. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 3*q**2 - q**2)*(2*q**2 - 5*q**2 + q**2) - 606*q**2 + 18*q**4 + 606*q**2 + 17 - 17 - q**4.\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5503988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 19*v + 413. What is the remainder when v is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*a**5 - 4*a**4 - 8\/3*a**3 + 0*a**2 + 0 + 0*a.\nAnswer: -4*a**3*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = k - 21, 0 = k + 5*d - 6. Suppose -4*m = n - 30, 0*m + 2*m - 3*n - 22 = 0. Let p = k - m. What is the remainder when 43 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:47 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94764029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11867 - -11880. Sort k, 1\/3, -55 in decreasing order.\nAnswer: k, 1\/3, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f - 7. Let q(p) = -7*p**3 - p**2 - 2*p - 1. Let j be q(-1). Calculate the remainder when u(j) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (-6*(1*sqrt(567) + sqrt(567)) - sqrt(567))))**2.\nAnswer: 29250*sqrt(7) + 2396200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 47*d = 990. Is -91 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/532953 and 23\/710604.\nAnswer: 2131812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 4\/(-3) + (-52)\/(-3). Suppose -i*t + 22*t = 25. Suppose 0 = -t*g + 920924 + 629076. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-27))\/(4\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 29*l + 4691. Determine x(-162).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 8, o: 5}. Give prob of sequence pp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -363 (base 12) to base 14\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-56)\/36) + 3)*(-39 - -47)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:36 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 142*t - 430*t + 6 = -147*t - 143*t, 0 = 4*i - 4*t - 28 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**6\/345 - 17*d**5\/230 + 15*d**4\/46 - 43*d**3\/69 + 14*d**2\/23 - 249*d. Factor k(j).\nAnswer: 2*(j - 14)*(j - 1)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -797277, -797290, -797299, -797304?\n\"Answer: 2*a**2 - 19*a - 797260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**3\/6 + f**2 - 3*f. What is the smallest common multiple of d(-6) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.1, 6\/13 in increasing order.\nAnswer: -1.1, -1, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5188 = 106*k + 214*k + 68 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*b + 71, 3*h = 1495*b + 319*b - 7223 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 48*s - 194. Calculate the remainder when c(7) is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l - 9. Let h = -1 - l. Let i(t) = -6 + 6 + t**h. Let a(m) = m**2. Determine a(i(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 23. Suppose 10*y - 9*y = t. What are the prime factors of y + 41 + 5 + -5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8540*0.1718\nAnswer: 1467.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*p**3 - p**2 + 37*p wrt p.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o + 102 = 0. Let z = o - 32. Let w(a) = 23*a - 3. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 1017639?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 - 3*f**3 + 0*f**3)*(-10 + 7 - 6) + (1 - 6 + 2)*(-2*f**3 + 2*f**3 + f**3) to the form d*f**3 + s + c*f + o*f**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {x: 4, g: 2, j: 2, q: 7, v: 1}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 5*g**7\/56 - 31*g**6\/40 + 99*g**5\/40 - 13*g**4\/4 + g**3 + 826*g. Let y(q) = 0. Calculate q.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -17\/3*s**3 + 0 - 5*s + 0*s**2. Let c(v) = -v. Determine c(h(z)).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:50 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 273\/29232*-6 - 3\/(-48)*2\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 8651 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.63 + -1999104562624\nAnswer: -1999104562631.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z - 114*z = -3*h + 66, 4*h - 7840 = -436*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 5*s + 7. Let n be z(-3). Suppose 2 = 5*a - 2*c + 26, -5*a - 5*c - 10 = 0. Sort a, n, 0 in descending order.\nAnswer: 0, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53205268.\nAnswer: 2, 89, 103, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29ab73 (base 14) to base 15\nAnswer: 1d9e44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 6. Suppose -j = -a + s, -5*s = 5*a - 2*s - 85. Which is bigger: 13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*(-2 + 0). Let s = -88 - -88.3. Let c = 0.1 + -0.3. What is the nearest to 1\/2 in c, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395720 and 140920.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -770 - -890. Calculate the highest common divisor of h and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 978, 977, 976?\n\"Answer: -d + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than or equal to -47089610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*t - 358, -21*x + t - 946 = -24*x. What is the highest common divisor of 9964 and x?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 0.06 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 + 46.8. Let i = w - 52.6. Which is the closest to -2? (a) -0.2 (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*c**2*o**2 + 2*c**2 + 9*o - 2 wrt o?\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 331870.1 millennia?\nAnswer: 331870100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 take away 1558586.9336?\nAnswer: -1552364.9336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*b**2*m**3 - 2*b**2*m**2 - 5*b**2*m - 2*b*m**3 + 2*m - 1 wrt m.\nAnswer: -132*b**2*m - 4*b**2 - 12*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*g**3 + 767*g**3 - 251*g**3 - 255*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 1. Determine j(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1356640 from -73.\nAnswer: 1356567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 41 + 11 - 31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - ((-4136)\/33)\/(2\/36). What is the greatest common divisor of t and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, m: 2}. What is prob of picking 2 m and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + 6.9. Round o to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 320*r**3 + 235*r**2 + 55*r. Let l(x) = 8*x - 166*x**2 - 191*x**2 - 64*x + 121*x**2 - 1 - 320*x**3. Let h(y) = -5*l(y) - 4*m(y). Factor h(n).\nAnswer: 5*(4*n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*i + 4775, 0 = 3*i + 2*b - 7*b - 2878. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*8\/32.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 195*m**2 + 5086*m - 57. Calculate t(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/118206585 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**2\/4 - 67173*u\/2 - 134355\/4.\nAnswer: 3*(u + 1)*(3*u - 44785)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1380858*i**3 - 3859*i + 200?\nAnswer: -8285148*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43772*h + 111*h + 26411*h.\nAnswer: 70294*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27829*v + 277975. Give q(-10).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -4. Differentiate y*r**2 - 120*r**2 + 6 - 21*r**4 with respect to r.\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 58. Suppose -2*q = 3*l - 91, 2*q - l - 39 = t. Let u = q - 6. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429, 1565, 3443, 6051, 9377?\nAnswer: 13409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 14 - 10. Let t(a) = -11*a + 4. Let c be t(x). Calculate the highest common divisor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 333898 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 13) to base 8.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16 + (-30)\/(-8) + -3)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304968414 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:50 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -3*n - 215, -4*n + 1056 = 5*l. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 7:38 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(4\/7)\/i))\/(i**(-2\/11)\/i))\/(((i\/(i**(-2\/23)*i))\/i)\/(i*i**5)) assuming i is positive.\nAnswer: i**(16866\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 22 = -5*d - 62, 0 = 4*d + 5*f + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Let j be (-3)\/(-8)*2\/3. Let z = 1 + -0.9. Which is the nearest to z? (a) j (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 9*d - 5. Let m be h(6). Let a = m - 8. Suppose 2*o - a = 15. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*c + 16. Let n be c - 1 - (-10 - -15). Let t = 1\/71 + -1569\/497. Is n >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 11*v**2 - 11*v + 5. Give x(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300521 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: Solve -2*q + 14 = 4*b, 12*q - 7*q - 24 = b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 - 4*u. Calculate j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/245466 and 107\/63712064?\nAnswer: 573408576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaallela. What is prob of picking 1 l and 1 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14186.504 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 - -0.35. Let a(j) = j + 7. Let y be a(-6). What is the closest to y in 2, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192493976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 83\/3 of a hour?\nAnswer: 99600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2e (base 16) to base 14\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 22*l**2. Let x(d) = 177*d - 3. Give o(x(h)).\nAnswer: 689238*h**2 - 23364*h + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s - 2*v - 3*v, 5*s = -2*v + 4. Suppose 3*x + 0*x - 301 = 2*u, 0 = -x + s*u + 99. What is the remainder when x is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.88 - -5. Let b = 5.88 + q. What is the nearest to -1 in b, -4\/7, 2, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let v = d - 1. Let l = 26 + -26. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(-10 - -16)*-1. Which is the third biggest value? (a) 2 (b) 10 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -1\/2, -10\/13, 8.496 in increasing order.\nAnswer: -10\/13, -1\/2, 0, 0.4, 8.496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1899, -3797, -5695, -7593, -9491?\nAnswer: -11389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) + (-703)\/247.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 6)*(-2*a + 2*a + 3*a**3)*(2 + 5 + 5) as m*a + x + t*a**2 + l*a**3 and give l.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086494756?\nAnswer: 2, 163, 1666403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 4*r - 12. Let y(s) = 17153*s - 11. Let q be y(r). What is q rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35326 and 1459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 108 = 22*a + 35*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)\/o)**(-5\/9)*o**3*o*o\/(o\/((o**(1\/10)\/o)\/o)) assuming o is positive.\nAnswer: o**(239\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 4. Let l be u(5). Let g = l - 6. What is the highest common factor of g and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -791*t**3*x**2 + 8*t**3 - t**2*x**2 + 13*t**2 - 164*t*x**2 wrt t?\nAnswer: -4746*x**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 305324.697 to the nearest one hundred.\nAnswer: 305300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-7) + (138\/14 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 - 715*i**4 + 28470*i**3 - 186890*i**2 - 5082875*i - 4866795 = 0.\nAnswer: -9, -1, 37, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by (-160)\/2*2*(-26)\/130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/(n*n*n\/(n**(-1\/9)\/n)*n*n))**(-4\/3) assuming n is positive.\nAnswer: n**(226\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (86\/13)\/(6\/78). Is 98 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**5 - 10*h**4 + 11*h**2 + 99 wrt h.\nAnswer: -240*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + -1 - 2). Let j = 4 + z. Does 9 divide 748\/36 - j\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/67 not equal to -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.3. Let c = 2.82 - 2.8. Let o = 0.82 - c. Put o, -5, d in decreasing order.\nAnswer: o, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000944766 to 6 dps.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 1\/14, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-918))\/((-6182)\/(-5058)).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 9:46 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.6 - -74. Sort -11, 1\/3, n in increasing order.\nAnswer: -11, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.5 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20577, 25460, 30349, 35244, 40145?\n\"Answer: 3*w**2 + 4874*w + 15700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13564 and 13564.\nAnswer: 13564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -578, -28, -4 in decreasing order.\nAnswer: -4, -28, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - l - 26 = -39, -3*l + 15 = 0. Which is the fourth smallest value? (a) -0.23 (b) -2 (c) 2\/15 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150364?\nAnswer: 2, 3, 17, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/7 (b) -254 (c) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - j**4 + (2*j + 2*j - 2*j)*(-2*j**2 - j**3 + 2*j**2) + (-2*j + 3*j + 0*j)*(-j + 0*j - j)*(4640*j**2 - 5785*j**2 + 3123*j**2).\nAnswer: -3959*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*v + 39*v**2 - 553 - 37 - 107*v - 285.\nAnswer: 39*v**2 + v - 875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 298 in 4\/3, 0, -6, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgm when four letters picked without replacement from {n: 1, g: 2, m: 2, q: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 1, l: 2, s: 4}. What is prob of sequence uz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 1333\/12. Let k = 387 - 386. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 2*z + 155, -25 = -5*z. Solve 4*y = k + 3, 3*y - y + 5*k = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005727 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1644059760 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.55 - -1.3. Let t = 0.0219 + 0.2281. Let k = h + t. Which is the smallest value? (a) 6\/7 (b) k (c) -0.1 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:16 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10540*m - 10534*m - 54 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17394 + -17393.999882496. Round a to 6 dps.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515312 divided by 1712?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1980 and -163\/5406180.\nAnswer: 178403940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 174073 + 0.196\nAnswer: 174073.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 + -0.13. Let x = -495\/7 - -1492\/21. Put c, 4\/7, x in descending order.\nAnswer: 4\/7, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 - 2*h**5 + 7*h**5 + (h + 3*h - 6*h)*(1136 - 1136 + 351*h**4) + 3*h - h**5 - 3*h + (h + 2*h**4 - h)*(0*h - 2*h + h).\nAnswer: -694*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50, 10176, 8.04?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-7)\/((-252)\/171) - 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 0*i + 2*i)*(-5 + 2 - 4)*(-4 + i + 4) as k*i**2 + d + g*i and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6) - (-2)\/(-3). Let a(c) = 10*c. Let r be a(z). What is the common denominator of (-57)\/r + 2 - -2 and -85\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/(-315) - 362\/(-18). Let h be (r + -6 - 6)\/2. Solve -h*p + 23 - 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 1\/6*c**3 - 1\/40*c**6 + 1\/24*c**4 + 0*c**5 + 0*c + 0 + 2*c**2. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1 = 3*c + l - 20, 11*c = -19*l + 147 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 - 3*j + 2. Let f be p(-4). Let m be f\/(9 + 0 + 2). Let c = 1 - 0.8. Is m greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)\/u)**(-45))**(-1\/49)*(u**(-4\/7)*u*u\/u**7)\/((u\/u**(-5))\/(u\/(u*(u*u\/u**(-2))\/u))) assuming u is positive.\nAnswer: u**(-729\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 v, and 1 z when four letters picked without replacement from zzfzzvzvzfvzv.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94402 by -1596.\nAnswer: 6743\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18910237 and -0.4?\nAnswer: 18910236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -105, -199, -287, -375, -469?\n\"Answer: -p**3 + 9*p**2 - 114*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206129 is divided by 4206035?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 2:46 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 59*r**2 + 126*r - 252. What is w(61)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*n**3 + 4*n**2 + 8*n - 217*n**3 - n in the form k*n**3 + i*n**2 + c*n + f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 1, a: 1, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 395 + -2763\/7. Which is the second biggest value? (a) -10.9 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k. Let r(b) = 3*b**2 + 4*b. Let o(d) = -2*d**2 - 3*d. Let t(f) = -4*o(f) - 3*r(f). Calculate t(m(l)).\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*59\/2478)\/((-1)\/(6\/(-2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/144)\/(41\/(-5904))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -72.3. Let j = -4 - d. Put 1, j, 4\/3 in descending order.\nAnswer: 4\/3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -12. Let g = -8 - i. Solve -n - 1 = 5*z + 1, -5*n - g*z - 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*r - 2147 + 867 = 0, -r - 857 = -2*l. What are the prime factors of l?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 214 (c) 1599 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**2 + 2*g - 2. Let y(k) = -11162*k + 1 - k**2 + 5581*k + 5580*k. Give 3*h(t) + 6*y(t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n = 30*n. Suppose 0 = -l - 2*p + 698, n = -4*l - 4*p + 1481 + 1327. Does 40 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51875 + -24173. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 240, 250, 260?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -0. Suppose 1 = c*v - 5*k, -2*v + 5*v + 31 = k. Calculate the common denominator of (-6)\/9 + 22\/v and -89\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -5, 2, 31, 0.04, -10\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28\/5 - 41\/10. Let l = -3.7 + 1.1. Let o = l + 0.6. Which is the nearest to 1? (a) p (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -235308 and -4235527\/18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 28*x**2 - 2*x - 2. Let u be t(-1). Let y(w) = -10*w**2 + 214*w - 1000. Let r(q) = -2*q**2 + 43*q - 200. Let g(z) = u*r(z) - 6*y(z). Factor g(m).\nAnswer: 4*(m - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 + 57*t**4 + 393*t**3 + 1239*t**2 + 1764*t + 864 = 0.\nAnswer: -8, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (17\/34)\/((-6)\/(-4) - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 218793865 and -6.\nAnswer: 218793859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 93882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*z - 5*z + 6, -4*s = -2*z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from bjjjjjjjjjjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (597 - 597 - 11*w)*(3 + 3 - 7)*(4 - 4 - 2*w) in the form z*w + x + n*w**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1*481*-1. Let i = -171 + w. Suppose x = 5*x - i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 1177?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-981)\/18)\/(4\/(-8)). Let o = 219\/2 - f. Let j = 3 - 5.4. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(3 - -3)*2. Suppose q*r - 10*r - 22 = 0. Find i, given that 2*i**2 + 7*i**2 + r*i - 2 + 5 - 1 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 39.14. Let z = y - -0.14. Is 7 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1439093, 1439086, 1439075, 1439060, 1439041?\n\"Answer: -2*w**2 - w + 1439096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, n: 5}. What is prob of picking 3 n and 1 w?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 26*d**2 - 135948*d + 3481920.\nAnswer: 2*(d - 240)*(d - 26)*(d + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 482703 or 482667?\nAnswer: 482667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12048 = -23*h + 12232 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 76695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/(-18))\/1 + 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozohlhzoro. What is prob of sequence lohz?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -64. Suppose -26*m + d*m = 144. Calculate the lowest common multiple of m and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 33*t. Let d(v) = -3*v. Give d(x(a)).\nAnswer: -18*a**2 - 99*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15*1)\/((-15)\/110)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 37 + 6 = 5*k, -3*k - 69 = -4*z. 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: Evaluate 269\/((-64022)\/(-204))*1\/24*1.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2456 + 0.2456. Which is the biggest value? (a) -37\/4 (b) p (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 91.214. Let l = 0.73 + u. Let m = 0.47 - l. Round m to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o)\/(o\/(o**(-3\/4)\/o)))**(-2\/55)*(o\/o**(-1\/4))**(-5\/3)*o**1\/(o*o\/(o\/(o**(2\/11)\/o))*o*o) assuming o is positive.\nAnswer: o**(-1993\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 169*d + 171*d = 1, 5*d + 19 = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74.9 - 72. Let i = -6 - -2. Let x = w + i. What is x rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 16*r**5 + 2036*r**4 + 20508*r**3 - 43256*r**2 - 12064*r = 0.\nAnswer: -116, -13, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-1)\/(-11) + (576\/(-66))\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-511889)\/(-3) - 1040\/390 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 4*u + 3. Let k be b(0). Suppose 3*m - 3 = k*n + 9, 2*m = -5*n - 6. What is the lowest common multiple of 11 and 3\/(n\/3 + (-25)\/(-15))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*g - 9, -5*p + 9*g - 4*g = -60. Which is bigger: p or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -12. Let v = -16 - o. What is the units digit of 32*1 + 5\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - (-7544)\/72. What is the highest common factor of 35 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 7*v + 4*v**2 - 4*v)*(3 - 3 - 3*v) to q + r*v + u*v**3 + m*v**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1)*-3 - ((5*sqrt(91))\/sqrt(7) + sqrt(13))**2)*4.\nAnswer: -1860 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-36)*10\/35*14\/80?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8741668, -8741671, -8741674, -8741677?\nAnswer: -8741680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -5\/46, -32, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(2\/45))\/t*t)\/t**4)**9\/((t\/t**(-1))**41*t**3*t*t\/(t**(1\/6)*t*t)) assuming t is positive.\nAnswer: t**(-3073\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -736956.\nAnswer: -1\/184239","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -414500 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/120 + k**5\/60 - k**3 + k**2\/2 - k + 7. Let j(s) be the second derivative of f(s). Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + m + 9. Let q be y(-5). Let g be (-16)\/6 + q\/2 + 1. Which is the biggest value? (a) g (b) 3\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*s**2 + 9*s + 5 - 398*s**2 - 8*s + 159*s**2 - 4 as q + o*s**2 + y*s and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06855903 or -2?\nAnswer: 0.06855903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 2 r when four letters picked without replacement from {f: 1, l: 1, r: 2, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = -3*c, 5*z + c - 4 = -0*z. Suppose z = -2*m + f + 3, f + 3 = -4*m + 6*f. Solve 0 = -m*o - 2*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 119. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 734, 2470, 5856, 11444, 19786?\nAnswer: 31434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 0) - (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518850318?\nAnswer: 2, 71, 10696129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)\/(x**(3\/2)\/x*x)*(x**0)**(18\/13) assuming x is positive.\nAnswer: x**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7989483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 71*w - 422. List the prime factors of h(-53).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 + 5*y**2 - 2*y**2. Let q(i) = -i - 5. Let r be q(-4). Let p(c) = c**2 + 5*c. Let l(f) = f. Let t(z) = r*p(z) + 5*l(z). Give b(t(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-3 + -10) - -3. Let b(u) = -u**2 + 22*u - 28. Let j be b(q). What is the greatest common factor of 60 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 10*h**5\/7 - 4794*h**4\/7 + 6668*h**3\/7 + 11472*h**2\/7 = 0.\nAnswer: -1, 0, 12\/5, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - 11\/(-9). Let l be (r - 0)*(-5 - -3). Let h = 9 - l. 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 g = 2 + 1. Let f be (-4)\/(-3)*(-21)\/(-14). What is r in -r**3 + 4 + 2*r**g - 4*r**2 + r**f = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + 4. Let r(v) = 2*v - 5. Let h(d) = -5 + 0 + 4. Let l = -185 - -184. Calculate l*r(t) + w*h(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let i(j) = -j**3 + 56*j + 41. Determine i(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 + 131776*s**2 - 1085307136*s = 0. What is s?\nAnswer: 0, 16472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -313? (a) -5 (b) 3\/7 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16 = -b. Suppose -h = -b + 1. Suppose a = 3*i + 26, 0 = -a - h*a - 5*i + 104. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1120\/182 + (28\/(-13) - -2). Suppose 3*j - 5 = 10. Suppose j + 5 = 5*y. Solve -y = -2*g + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*z**2 - 82\/11*z + 435\/11.\nAnswer: -(z - 5)*(z + 87)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/48213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51580875.\nAnswer: 3, 5, 263, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000591688 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2458, 12, -3, -59 in decreasing order.\nAnswer: 12, 9, -3, -59, -2458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8 (b) 9\/4 (c) 226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2502*a**4 + 4*a**3 - 482872*a**2?\nAnswer: 60048*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -57?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 580 + 668 = 0. Let p(t) be the second derivative of t**4\/12 - 7*t**3\/2 - 12*t**2 + 127*t. What is p(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1288?\nAnswer: 1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 6. Let n be k(4). Suppose n*a = 2*i + 16, 5*i = -2*a - 15 + 3. Solve -3*r + 5 = -a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 21. Let g be -12 + (0 + -4)*5\/10. Let f be t(g). Suppose l + 6*l = f. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n + 3*x - 2 = 0, 5*n + 3*x - 62 = 0. Let y be (15 - n) + 2 + 2 + -3. Solve -3*d + 4 = -5*g, 5*g - 5*d + 3*d + y = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 30*z**3 + 9*z**2 - 96*z + 60.\nAnswer: -3*(z - 10)*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 89, 4, 13, 2\/3, -5, -7 in decreasing order.\nAnswer: 89, 13, 4, 2\/3, -0.1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4292001m to centimeters.\nAnswer: 42.92001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.1. Let y = 2 + -2.06. Which is greater: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 8*l + 5. Let f be o(0). Solve -f*a + 24 = d, 0 = 2*a - a + 5*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r. Let w(x) = 4*x - 6. Let d(z) = z - 1. Let m(c) = -6*d(c) + w(c). What is m(l(h))?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 2\/5, -3, -1\/8 in descending order.\nAnswer: 10\/9, 2\/5, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let b be n(4). Let w = -1.2 + 1.2. What is the closest to 0.2 in 3, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 8. Let r(g) = -5*g + 9. Let l(u) = 4*j(u) - 3*r(u). Suppose 50*f = 196*f - 28*f - 944. What is l(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/2)\/(3 - (-9)\/(-2)). Suppose -9 = -3*x, -i*x + 9920 = o + 3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/3*v**3 + v**2 + 1\/10*v**5 - 9*v + 0 - 1\/6*v**4. Find z such that p(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*i - 32, -s + 5*i = i - 8. Let b(d) = s - 3*d**2 - 4*d - 5*d - 12 + 3*d. Let m(c) = 0 - 2*c + 1 + 3*c + c**2. What is -b(z) - 4*m(z)?\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -92*j + 4488. Let i be n(48). Solve -146*o = -137*o - i for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {b: 12, s: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/11900 and -1\/23086?\nAnswer: 1154300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11795 and 3104444?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 11. Suppose -5*s - 54 = s. What is the tens digit of z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**3 + 485*k**2 + 35360*k + 503620 = 0.\nAnswer: -26, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = i + 3*c - 15, 3*c = 4*i - 99. Calculate the lowest common multiple of i and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16730 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.107 and 2.9?\nAnswer: 2.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + 4\/24. Which is the closest to -1? (a) 4 (b) 2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - w. Let j(z) = 3*z**3 + 6*z**2 + 4. Let v(d) = -2*d**3 - 5*d**2 - 3. Let x(y) = -3*j(y) - 4*v(y). What is 2*t(h) - 3*x(h)?\nAnswer: 3*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5462a3015 + -1?\nAnswer: 5462a3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 - 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -20. Suppose p = 5*g + 3*k + k, 0 = 4*g - k - 24. Let a(s) = s**3 - 5*s**2 - 5*s + 1. What is a(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -c - 9, 4*n + 0 = -3*c - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z = 48*z + 3*o - 310960, 4*o + 62169 = z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 22*q - 44. Calculate the remainder when 18 is divided by i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*(i**(-4\/5)\/i)\/i))\/i)**1*i\/(i**(-26)\/i*i)*i*i\/(i\/(i\/(i**15\/i*i))) assuming i is positive.\nAnswer: i**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 213, 211, 209?\n\"Answer: -2*d + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55742 - -155a?\nAnswer: 571a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*(-1 + 7)\/2. Let h(a) = -5*a**3 + 1. Determine h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.3. Let n = 3.94 + 0.06. Let a = n + -4.1. What is the nearest to a in -2\/19, j, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5113, -3459, -1805?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/106 bigger than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9919?\nAnswer: 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -64*n**2 + 7*n + 1. Let r be a(-6). Suppose -40*q = -30*q - 35360. Let g = q + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-46)*(y*y*y\/(y*y**0))**(1\/2)*(y**(-2)\/y**(-6))\/(y**(1\/2))**35 assuming y is positive.\nAnswer: y**(-259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w + 1. Let l(g) = -5*g**3 - 28*g**2 - 31*g + 59. Let d(s) = -l(s) + 4*p(s). What is the units digit of d(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 22545 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1912 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6752*t - 33648 = 12101 + 10923 - 2656 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 12 + (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 132*k**2 + 506*k - 23. Give c(-6).\nAnswer: 1693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-117)\/27)\/(4\/408). Let a be (-12)\/(-9) + j\/(-6) + 4. Solve -3*q - 94 = -a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/4 - 2*z**3\/3 - z**2 + 6. What is u(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*c + 2145 = 0, 5*z = 2*c - c + 10830. Does 5 divide z\/10 + 21\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162543\/131936 - 3\/18848. Calculate the common denominator of r and 31\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*1692\/(-1638))\/(-6*7\/(-273))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-90))\/(6\/54*8\/(-80)*-2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 0.0147, -2.4, -7, 4, -5 in increasing order.\nAnswer: -7, -5, -2.4, -2\/21, 0.0147, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-1652\nAnswer: -214.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + y + 8, 5*y - 26 = -l. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (214\/(-535))\/(18\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 80*x + 400 = 0. What is x?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -3, 19036, 77 in descending order.\nAnswer: 19036, 77, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1442441, -5769833, -12982171, -23079455, -36061685, -51928861, -70680983?\n\"Answer: -1442473*r**2 + 27*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/2 + 67893*z**3\/2 + 1495335*z**2\/2 - 5368461*z\/2 - 3397950 = 0. Calculate z.\nAnswer: -25, -1, 4, 22653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 11*f**2 + 2*f - 21. Let u be o(11). Is u > 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51410400 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -16*a**7\/105 - 88*a**6\/75 - a**5\/2 + 83*a**4\/30 + 41*a**3\/15 + a**2 - 8*a - 3. Solve n(u) = 0.\nAnswer: -5, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82728.42ml?\nAnswer: 82.72842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a**2 + 7*a**2 + 0*a + a.\nAnswer: -41*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 334, 757, 1350, 2113, 3046, 4149?\n\"Answer: 85*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 4)\/1*1. Let g(s) = -s + 8. Let y(i) be the second derivative of -3\/2*i**2 - 31*i + 0. Give w*g(x) - 8*y(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 109*f**3 - 9*f**2 - 107*f - 9. Let n(o) = 27*o**3 - 2*o**2 - 27*o - 2. Let p(j) = 9*n(j) - 2*s(j). What is the second derivative of p(u) wrt u?\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 55 = -4*l. Solve 4*a = 2*f, 5*f + a + 11 = -l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231200 + 3?\nAnswer: -231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5313 and -39\/46?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -12, 58*r - 8 = 3*v + 59*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 0.711.\nAnswer: 0.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 + 445. Let o = -32 - -18. Let l = o + -8. Sort f, l, -2.\nAnswer: l, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 207963.8 and 12.73.\nAnswer: 207976.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 2\/3 + (-870)\/90. Let h(o) = o**2 + o + 1. Let a(g) = 33*g**2 + 44*g + 44. Give s*a(k) + 44*h(k).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m. Let r(z) be the second derivative of m*z**2 + 1\/12*z**4 - 2*z - 1\/3*z**3 + 0. What is the second derivative of r(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19700*v + 46896 + 6100 = 133632 + 234564 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 7154?\nAnswer: 14308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/4*-2. Let s be (-211)\/(-2)*4\/7. Let b = -60 + s. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3052123 is divided by 375.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-39808)\/(-30720) + 14\/(-10)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from wyoymmkwmwkykwmwymmy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241 - -229.1. Let c = -5.9 - n. Which is smaller: c or 14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.67826 and -86?\nAnswer: 86.67826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - 6087?\nAnswer: -6133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/13 - 2408*y**2\/13 + 134406*y\/13 - 1834164\/13 = 0 for y.\nAnswer: -1258, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -26*g**3 + 2*g**2 + g + 2. Let w be v(2). Let p be (-6)\/(-10) + w\/10. Let t = -7 - p. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000156687 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083363347 to the power of 1\/2, to the nearest integer?\nAnswer: 32914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.15345 + 10.424. Round m to 3 dps.\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*x + 5*l + 29 = -90*x, 0 = -5*x - 2*l. Solve x*c = -2*d - 16, 0 = 4*c - d + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 6*y + 3*y + 3*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28*(-10 - (-1781)\/52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 + 260. Calculate the remainder when g is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63424539.88 rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 - 6\/3. Let i = -12 - j. What is the remainder when 14 is divided by (-48)\/i + (-2)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/sqrt(4)) - sqrt(1452)\/sqrt(6).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 20 = -z. Let t = z + 249. Suppose f + 2 = 3*f, -3*q = 3*f - t. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, -28 = -5*z + c - 2. Calculate the least common multiple of z and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 5. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*f**6 - 214*f**5 - 2*f**2 - 2*f + 87212 wrt f.\nAnswer: -10680*f**3 - 12840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 * -1.8\nAnswer: 0.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 26\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9747596 or 9747599?\nAnswer: 9747596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*y + 27, y + 80 - 71 = 2*l. Solve l*k - 18 = 2*j - 7, -3*j = 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120012211 (base 3) in base 12?\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(39)*3*5)\/(-4*sqrt(21)\/sqrt(7)))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkimkf. Give prob of picking 1 i and 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13332 divided by 1111?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 24*t**2 + 22*t - 23. Let s be h(-23). Solve s = 4*c + 5*f - 21, c + 3*c - f = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530 divided by -5.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.08 + -0.08. Let w = x + -6. Let n be -3 + 5 - ((-60)\/(-28) - 0). Which is the nearest to 0? (a) w (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) + 46\/10. Suppose -4*y + 2*y = -4*q - 4, -y + 3*q = -p. Let i be (-1139994)\/(-15) + y\/(-10). What is i rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 3*f - 4*f)*(-2 - 7 - 4) + 59*f + 65*f - 134*f + f - 3*f + f + (-3 - 2*f + 3)*(1 - 2 + 3) in the form o*f + n and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -212.6 * -0.05109\nAnswer: 10.861734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*m**4 + (2*m + 3*m - 2*m)*(5*m**3 - m**3 - m**3).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/((m**(3\/8)\/m)\/m)*(m\/(m\/(m*m**(-3\/2))))\/(m**6\/m)*(m*m**(-6)*m**(1\/5))\/(m**0*m)**(-4\/11) assuming m is positive.\nAnswer: m**(-2337\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**2 + 579*q + 26*q**2 + 7*q**2 - 602*q - 13*q**2.\nAnswer: 38*q**2 - 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - t = 2, 0 = -5*t + 1 - 11 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 l, and 1 b when four letters picked without replacement from {g: 2, b: 1, j: 1, y: 1, u: 6, l: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5\/2 + 135*p**4\/2 + 285*p**3\/2 + 145*p**2\/2 = 0. What is p?\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4 - 5*t + 13 + 5*t + 7*t to the form i + l*t and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45071916107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -2. Let i(j) = j**2 - 5*j + 3. Let x be i(5). Suppose x*n + k = 2*n + 30, 0 = 4*n + 2*k - 120. What is the greatest common factor of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 23. Let v be z(-7). Sort -4, 5, v.\nAnswer: -4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m - 52. Let r be x(-10). Let s be ((-4)\/r + 0)\/(6\/27). Which is the nearest to -0.1? (a) 2\/7 (b) s (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110 + 7302 - 3085 - 772*g**2 - 2107.\nAnswer: -772*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3679041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 14*j - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 2.48873608.\nAnswer: 2.78873608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39779892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-20)\/2*(-2)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1247.935 + -479.362. Let k = 1159 + -390. Let d = k - v. Round d to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 9*x**2 + 10*x + 25. Give f(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -10, -6, -3, 2, 23 in descending order.\nAnswer: 23, 11, 5, 2, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -13c?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 259\/222 + (-34229)\/(-6). Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i + 48*i = 44. Let p(m) = -9*m**2 + 4*m - 3. Let r be p(2). Let q = r - -21. Is i >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*u + 31 - 9, -5*s - 20 = 5*u. Let o be 7 + 2\/(1 - 2). Let h = u + o. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2. Let j(p) = 33767682*p. Calculate j(n(o)).\nAnswer: -371444502*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, y: 6}. What is prob of picking 3 l and 1 y?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from ggdggdggdgggddggggd?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + -231. Let q = r - -332.4. Round q to zero decimal places.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + 4*q)*(247 - 235 - 2110).\nAnswer: 4196*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 338694.536 to the nearest 1000.\nAnswer: 339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.363 - -0.213. Which is the nearest to 0.1? (a) 1 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -16.9, -0.16, 95 in ascending order.\nAnswer: -16.9, -0.16, 0.2, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 10771840.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 10, 30, 58, 94, 138, 190?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05999 - 2.05999. Which is the smallest value? (a) 42 (b) -2\/7 (c) 0.1 (d) j (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 5)\/((-1)\/43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(5 + ((-6)\/(-4) - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5991 + 6286.6. Which is bigger: q or 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 319? (a) 0.4 (b) 3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 4. Let a = 9 - i. Suppose -5*m + 16138 + 51362 = a. What is m rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (0 - -2)*-1 - -1011. Suppose 12*x = -6*x + d. What is the remainder when x is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*t = -63, 3*t = t + 10. What is the lowest common multiple of 12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 20*p - 39. Let y be x(-2). Suppose 5*u = -4*k - 15, -3*k + 6 = -4*u + 2*u. Put y, 3, k in ascending order.\nAnswer: k, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 1 (c) -47 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/7 + 328*b\/7 - 648\/7 = 0. What is b?\nAnswer: 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let f(x) = x**2 + 1. Let o(p) = 3*p**2 + 4. Let k(i) = b*f(i) - o(i). What is the first derivative of k(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57862526 to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 - -313. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h - 3*h - 2*h - h + 2*h + 0 + h + 0 + (0 - 3 + 2)*(0*h + 3*h - 5*h) + 0*h - 2*h + h + 2*h - 2*h - h + 9 - 6*h - 1 + 8*h.\nAnswer: -h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1709 - -1417.4. Let t = s + 266. What is t rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 8*q + 13. Let d be l(9). Let y be ((-6)\/d)\/(1\/(-2)). Solve 0 = -5*r + b + 29, 2*r + 13 = -5*b + y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*c*k**3*l*y - 2974*c*k**3 - c*k*l - c*k*y + 3*c*y**2 + 31505*k**3*l*y**2 + 2*k**3*y**2 - 2*k*y wrt y?\nAnswer: 6*c + 63010*k**3*l + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/7 (b) -9\/4 (c) 0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58546954?\nAnswer: 2, 29273477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6082900 divided by -2950?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -3*m. Let b(j) be the first derivative of -j**2 + 3*j + 2799. What is b(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 12*b**2 + 14*b - 10. Let i be q(13). Let z = -3 + 23. Suppose i*d = -14 + z. Solve 12 = -s - d*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0, -128 in ascending order.\nAnswer: -128, -5\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3730)\/(-5))\/(2*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 3}. Give prob of sequence aq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-58)*(8\/(-2) - 850\/(-85))\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -1)*(-5558)\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32312332 (base 4) in base 16?\nAnswer: -edbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 857871?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -437 + 438. What is the thousands digit of (-1295 + d)\/(-6 + 17 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*f*m**3*t**2 - 2*f*m*t**2 - 2*f*t + 701*m**4*t**2 - t**2 + 308 wrt m?\nAnswer: -210*f*m*t**2 + 8412*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*u - 3136*u - 2066*u + 27*u.\nAnswer: -3835*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 24710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(10\/(-20)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 12 = -13*j. Let n = j - -4. Suppose -2*h + 4*r + 18 = -0*h, -4*h = 4*r. What is the remainder when h is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96219041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, w: 1, m: 4, k: 2}. Give prob of picking 1 a and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 - 22 = -5*s, 3*s - 16 = -2*x. Suppose -2*c = -3*a - 84, -s*a = -0*a - c + 112. What is the hundreds digit of 4\/14 - (-106)\/a*-34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054, 1710, 2366, 3022, 3678, 4334?\nAnswer: 4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1548 and 1501904?\nAnswer: 13517136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09685477 times 0.5?\nAnswer: -0.048427385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-2)\/(-2)*-4. Let s = 825\/8 + -103. What is the closest to 1 in j, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 t when four letters picked without replacement from {o: 9, t: 5}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose n + 5 = 2*i - 0, -u*n - 2 = -2*i. Calculate the highest common divisor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*t + 2 - 6, -t = 5*u - 13. Suppose -h = t*h + 3*f + 31, -4*h + f = 11. List the prime factors of 80 - 0\/(h\/(-16)*4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:32 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 37\/2*b**2 + 0*b**3 + 0*b + 43 + 0*b**4 - 7*b**5. Find the second derivative of r(f) wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/(1\/(-36)). Let c = k + -24. List the prime factors of (40\/c - -3)*-96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50777\/18 - 2819. What is the common denominator of (-618)\/(-56)*9\/27 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*z**2 + 18*z**2 - 4*z**5 + (z**5 + 2*z - 2*z)*(-2 + 2 - 2) + z**3 - 2*z**5 - z**3 - 8*z**5 - 2*z**5 + 6*z**5 - 13*z**5.\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h. Suppose -4*x = 2*n + 16, 0 = -4*n - 4*x + 3 - 15. Suppose y = n*y - 8. Suppose -2 = y*l - 10*l. Determine q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 4 = -4*p - 13*i, 4*p - 2*i = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l = 276. Let h = l - 35. Calculate the remainder when 98 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48199*l**2 + 2*l - 2*l - 48183*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let c(j) be the second derivative of -j**4\/12 - 11*j. Give c(p(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 16021384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-24) + ((-33)\/12 - -3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5949830 to the nearest integer?\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 11593628 and -420.209.\nAnswer: 11593207.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -45 + (1 + -2 - -1) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200313402 + -10?\nAnswer: 200313342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/2 - (-72 - 2035). Is m at least as big as 2116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*b + 80, 2*b + 6*f - 8*f - 66 = 0. Is 34 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594042 divided by -99007\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/n)\/n**5*n*n**(-2)*n**0)\/((((n\/((n*n**4\/n)\/n))\/n)\/n)\/(n*n**4)*((((n**(-3)*n)\/n)\/n)\/n)\/(n*n**(2\/7))) assuming n is positive.\nAnswer: n**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18492508571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -832, -945, -1140, -1435, -1848, -2397, -3100?\n\"Answer: -3*q**3 - 23*q**2 - 23*q - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Solve -5*l + 4 = -3*z - 6*l, 6 = u*z + 5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 29*m - 965. Is 142 a factor of q(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 20*h + 45. Let u be h\/15 + (-4)\/(-6). Which is smaller: u or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*d + 141*d - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (3 - (2 + 4)). Let p = -0.2 - -0.2. Let i = -0.5 - p. Which is the closest to -0.1? (a) i (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120.749 - 0.949. Let n = 143 - j. Let q = n - 12. What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 96\/481?\nAnswer: 96\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p. Suppose 6*l = l + 30. Let c(t) = l*t + 1 - 5*t - 1. Determine c(s(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y**2 - 155*y**2 - 375*y**2 + 41*y**2.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b432 + -5?\nAnswer: b42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -38.2. Let q = 0 + x. Let r = -2 + 2.4. What is the nearest to -1 in q, 4, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.91055 and 3.4?\nAnswer: -43.89587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 428 = 4*x, 0 = -4*u + u + 3. Let t = x - -70. Let o be 3\/((t\/(-15))\/4). Solve 5*r = 2*r - 5*k - 12, r + o = -2*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 59 + (0 - -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 10*a - 2*t - 2334, a + 5*t = 567. List the prime factors of a.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269, 4792, 10665, 18888, 29461?\nAnswer: 42384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-15)*1230\/(-984)*264\/(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 744660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*n + 2*n = 130, 4*a - 166 = 3*n. Let a*p**2 + p**3 - 82*p + 2*p - 6*p**3 = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 - q - 1. Let g = 7 + -8. Let m be h(g). Factor 0 - 2\/5*d - 2\/5*d**3 + 4\/5*d**m.\nAnswer: -2*d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -72530?\nAnswer: -16\/7253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/23 + 168104*u**3\/23 + 3532201244*u**2\/23 - 7064906808*u\/23 + 3532537458\/23.\nAnswer: 2*(u - 1)**2*(u + 42027)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101211120 (base 3) to base 14\nAnswer: -2c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16825297 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/119 (b) -14 (c) -1\/2 (d) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26808 not equal to -26806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859917?\nAnswer: 1859917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-20))\/((-2)\/(-8)). Let b = t - -9. Let j(i) = -i**3 + 7*i**2 + 5*i - 7. Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + x = 13, -13*w + 16*w = -3*x + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2))**(3\/2))**(15\/7)\/(((l\/(l*l*l\/l**3))\/(l*l**(2\/5)))\/(((((l*(l*l**(-5))\/l)\/l*l)\/l)\/l)\/(l**1\/l))) assuming l is positive.\nAnswer: l**(-109\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166181671.\nAnswer: 3, 71, 10169867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*d**2 + 122*d**2 + 4*d + 44*d**2 - 4*d.\nAnswer: -116*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 27 - 159. What is the lowest common multiple of 8 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220041*x**3*z**2 - 63*x**3*z + 41531010*z**2 with respect to x.\nAnswer: -660123*x**2*z**2 - 189*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -153, -532, -1271, -2490, -4309, -6848?\nAnswer: -10227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 + 1860*c + 7376 = 0.\nAnswer: -461, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275095 is divided by 5014?\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1035825 and 35514?\nAnswer: 6214950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000857003 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 - 12570*l**4 + 75189*l**3 + 514650*l**2 - 75192*l - 502080 = 0. What is l?\nAnswer: -4, -1, 1, 10, 4184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700716?\nAnswer: 2, 193, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9168 not equal to 9150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + (-320)\/168*9. What is the second smallest value in 13, -2\/3, n, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28699, 28702, 28707, 28714, 28723, 28734, 28747?\n\"Answer: i**2 + 28698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Suppose 3*j - 11 = -5*k, -k - u*j + 0 = -5. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-44))\/(4\/32). Suppose 0 = -4*u - 0*j - 4*j - 16, -3*u - j - 8 = 0. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**2\/2 - 1. Let p(s) = 7*s. Let x(n) = -155*n. Let i = 128 - 83. Let k(f) = i*p(f) + 2*x(f). What is m(k(q))?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57289303 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 650 + 1956\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**3 - 134*i + 391*i - 130*i - 138*i.\nAnswer: -45*i**3 - 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, 0.1, -3002?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = p + 2*a - 750, 969 = p + 5*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3293 + 0 + -1)*(1 + -2). Suppose -p = -3*y - 6*y. Suppose -v + 89 = a, -v + 5*v = a + y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 324.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 361 - -690356?\nAnswer: 690717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - -2.01. Let s = -1010.2126 - -1010. Let r = s + b. Round r to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 6*n - 132. Let v(x) = x**2 - x + 26. Let t(u) = -21*v(u) - 4*z(u). Factor t(p).\nAnswer: 3*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 <= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*k)*(2 - 2 - k) - 4*k + 11*k**2 + 4*k - k**2 + 1 - 1.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 26. Let s(f) = -f**2 + 2*f + 11. Let c be s(q). Calculate the remainder when (1\/c)\/(1\/(-388)) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.053 and 6.7.\nAnswer: 6.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 729683.1l?\nAnswer: 729683100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*r - 8, 4*r = 4*o + 2*r + 8. Does 14 divide (-17)\/(-1) + (o - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 87\/2 of a microsecond?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**9\/((a*a*a*a\/a**(-7\/6)*a)\/a))\/(a**(2\/5)*a\/a**(1\/11)))**2)**(-13) assuming a is positive.\nAnswer: a**(-10829\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 7*h + 2. Let a be o(-7). Suppose 0*k + k = 8. Calculate the remainder when k is divided by a\/9 + 4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -711.826 + -463394.3.\nAnswer: -464106.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -25.4. Let u = -6 - -11\/2. Sort -1\/19, u, h in ascending order.\nAnswer: u, -1\/19, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50562*t**4 + 24018222*t**3 - 47631940*t**2 - 1209688*t - 7632 = 0 for t.\nAnswer: -477, -2\/159, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 37 + 57 + 2 - 3 - 1 + (-2 + 5 + 1)*(2 - 1 + 0) - 1 + 1 + 3)*(-2 - 1 + 13*p - 9*p) to the form v*p + h and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10083346*f**5*v + 51941*f**2*v + 2*f**2 + 1 wrt f?\nAnswer: 605000760*f**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(30)\/sqrt(5)))\/(sqrt(8)*-1*5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 107*o**3\/3 + 3212*o**2\/3 + 3163*o\/3 + 58\/3 = 0.\nAnswer: -29, -1, -2\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*j + 16*j - 62*j)*(-3*j + 4*j + 0*j) as a + m*j + w*j**2 and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4570\/(-6398))\/(-3*(-9)\/1890)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(10)*1 + sqrt(10)) - (sqrt(10) + -2*sqrt(360)))\/(sqrt(10)\/(sqrt(6)\/sqrt(3)) + sqrt(35)\/(-3*sqrt(7))).\nAnswer: 51*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 7*h**2 + 7*h + 11. Let p be x(-5). Solve 27*i = p*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36a - 0?\nAnswer: -36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 904 in decreasing order.\nAnswer: 904, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 3*b = 4*a - 4, -26 = -5*a + 4*b. Suppose 6*t = -a*t - 32. Let w be (24\/(-21) - -2) + 4\/t. Put w, 2\/5, 42\/11 in descending order.\nAnswer: 42\/11, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*r + 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 7025834730 - 7025834730 + 2*p + 44*p**3.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*d = -2*d - 1406, -2*b + 551 = 3*d. What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366985 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: Calculate the least common multiple of (-4)\/28*(-21 + 0) and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/175*(-7)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10094 + -10079. Solve 3*q + l = -5*o, 10*o - 13*o = q + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2005 - 1992. What is the remainder when 196 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29274 and 18188334.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 3444. Let x(s) = 2*s**2 - s - 27. Let p be x(-7). Let q = p + j. What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0.3, -1\/6, -60999, -2 in descending order.\nAnswer: 0.3, -1\/6, -2, -3, -4, -60999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 22*g + 88 = 20*g - 71*g + 16*g, 3*g + 142 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20728 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:20 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (-3 + sqrt(68)\/sqrt(4))*-1 + ((-2*sqrt(204))\/sqrt(4))\/(-1*(sqrt(3) - sqrt(18)\/sqrt(6)) - sqrt(3)).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m. Let k(n) = 5*n - 8. Let c(j) = -5*j + 8. Let x(f) = -20*f + 33. Let y(w) = 9*c(w) - 2*x(w). Let v(z) = 3*k(z) + 4*y(z). What is v(d(p))?\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-17 + 14 + (-1 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 3. Let w = 36 + b. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*o = 4*o - 31, 0 = -3*o + 12. Solve -n*l - 5*c = -25, -2*c + 6 = -3*l + 2*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (254 - 2)*3\/(-4 + 10). Let a(b) = -b**3 + 4*b**2 - b + 3. Let k be a(5). Let q = k + i. Calculate the highest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 4*b**2 - b**2 + (1 + 0 + 1)*(2*b - 2*b - 5*b**2) as m*b + v + d*b**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 - -2) + (4 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6882?\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -877086*t**2 + 670*t + 5996. Let n be d(-9). What is n rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 6 + 4 + -2 + (4 - 13)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*v + 139*v = -72 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/((-20)\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 1, d: 1}. What is prob of sequence yudu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 1580?\nAnswer: 1580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l - 163*l = -1026 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 221, 1\/8, -1\/4, 2\/15?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 9*p**2 - 13*p + 37. Let u be z(10). Solve -s + 8 = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -1) + (-66)\/15)\/(35\/(-175))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, y: 4, o: 5}. Give prob of sequence yzoo.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 220*h + 218 = 0. What is h?\nAnswer: 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuz when four letters picked without replacement from {u: 6, a: 9, z: 2, k: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (-3*-1*sqrt(684) + -3*(sqrt(684) + -2))**2)*-1 + 5)*6.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.8 from 0.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-10)*(914\/(-182) - -5). What is the nearest to w in 1\/4, 3, -2\/19, 0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5.99. Let n = -0.8 - -3.8. What is the third smallest value in n, k, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 7*z**2 - 92*z - 282. Let w be a(-3). Solve 4*l = w*f + 29 - 26, -3*f = -5*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 234 = -7*r, 8397*r - 74 = 8395*r + 5*x for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -17. What is the remainder when (-5)\/15 + 100\/3 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - a = -53, 3*g + 2*g + 4*a = 79. Suppose -q + 1 = -3*k, -4*k - g = -7*k + 5*q. Find the common denominator of (43\/4)\/((-5)\/k) and 55\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 y, and 1 q when four letters picked without replacement from tqqqqqtetqqtyy.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*y + 15, 2*w = -2*y - 1015 + 1003 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 1336130 + 1336130.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 581.3334 + 1.3666. Let v = -583 + z. What is the closest to -1\/3 in v, -0.5, 0.025?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14896747549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 6*f - 6. Let q(o) = -11*o**2 + 17*o - 17. Let x(d) = -17*p(d) + 6*q(d). Let l(j) = -11097 + 22172 - 11135 - j. Determine x(l(g)).\nAnswer: 2*g**2 + 240*g + 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67680 = 671364*z - 669860*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*m**2 + 174*m**3 + 574*m**3 + 452*m**2.\nAnswer: 748*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37287, -74528, -111769?\n\"Answer: -37241*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6773 + 6778. Let s(t) = -t**2 + 7*t - 7. Let p(i) = i**2 - 13*i + 13. Calculate m*s(f) + 3*p(f).\nAnswer: -2*f**2 - 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:07 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186091148?\nAnswer: 2, 1583, 29389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/29, -18, -0.5, 0.1, -0.4, 569\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446 and 102134.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 12*i**3 + 12*i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155 and 61255?\nAnswer: 1898905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.2, -314, -2\/3, 1641?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296039 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 0)*(-3)\/4. Suppose -g = 61*g. Suppose 0 = -a*m + 5*n + 144300000, 4*m + n - 235952650 + 43552650 = g. Round m to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*v - 82 - 102, -4*t + 372 = 3*v. Suppose -80 = 91*a - t*a. Solve -17*u = -13*u - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 12*n**2 + 11*n + 9. Let v be j(-5). Let o(i) = 43*i + 55. Does 11 divide o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0427317 to four dps.\nAnswer: -0.0427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {t: 4, r: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -723*s**2 - 217*s + 9. What is t(-2)?\nAnswer: -2449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(3\/8)*(v**2)**(-14\/9))\/(((v\/v**(-8))\/(v\/(v\/(v\/v**6))))\/(v**(-9)\/(v*v*v**(-1\/6)))) assuming v is positive.\nAnswer: v**(-1033\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + 0*k - 5*k)*(-5*k + 3*k + 0*k) + k**2 + 0*k**2 - 4*k**2 + 2*k**2 + k**2 - 2*k**2 + (2*k**2 + 3*k**2 - 3*k**2)*(1 + 2 - 4).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -56. What is the least common multiple of g and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1697, -1700, -1703?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - 15\/12. Let c be 3 + (z - (0 + 0)). Suppose 0*t + 8 = c*t. Solve 5*f - 2*m - 2 = -6*m, t*f + 17 = 3*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057.44 + -2188482?\nAnswer: -2191539.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:07 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.223 in -0.2, -1, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21861 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 188132 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823227393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzan when four letters picked without replacement from {z: 2, f: 2, a: 1, g: 2, s: 4, n: 3}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 752663.1 milliseconds in microseconds?\nAnswer: 752663100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/66660 and 65\/2436.\nAnswer: 13531980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 3*q**2 - q**2)*(31 + 106 + 56 + 3 - 3 + 1 + (-4 + 3 - 1)*(-3 + 5 - 3) - 3 + 0 + 1 - 3 + 2 - 1).\nAnswer: -384*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n - 1. Let c(y) = 7*y**3 - 3*y**2 - y - 5. Let g = 19 - 20. Let k(m) = g*c(m) + s(m). Let h be k(-3). What is h rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047515288 to the power of 1\/3, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (189\/(-54))\/(4\/(-2112)) and 504?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose -5*y + 1760 = 11*y. Let b = y - 1429\/13. Is b < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:09 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235\/1111 + -3\/101. Let p be (-2*(0 + -2))\/(-9). What is the second smallest value in r, p, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-36) + (-2)\/9. Let o = 54.256 - 53.7. Let n = o + -0.636. What is the third biggest value in a, n, 0.4, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = 31*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 4. Give l(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -6*t - 7. Let d be ((-14)\/10 - t) + 48\/20. Suppose 400 = 5*y - 5*k, -k = y + d*k - 96. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.5, 1\/8 in ascending order.\nAnswer: -0.5, -1\/5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 211830 (base 10) to base 2\nAnswer: 110011101101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290808 and 84?\nAnswer: 290808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22. Suppose h = x - l - 12, 4*h + 28 = -x. Let m be ((-48)\/64)\/((-33)\/h). What is the second biggest value in -2\/5, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -889 - -21343\/24. Calculate the common denominator of w and -85\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38322428 and 664?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/4)\/((-6)\/(-160)). Let k be (-36)\/6 + 39 + -9. What is the highest common factor of k and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/4)*d)\/d*d)**(2\/85)*(((d\/d**0)\/d)\/d)\/(d\/d**(1\/3)) assuming d is positive.\nAnswer: d**(-823\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*a**3 + 2*a**3 - 5 + 15*a**3 + 20 with respect to a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*c**4)*(117 - 183 - 284 - 225).\nAnswer: 1150*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 199*p**2. Let f(r) = 56*r - 5. Determine f(s(x)).\nAnswer: 11144*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*(j*j*(j*j**(-1\/5))\/j)\/j)**(-1\/71) assuming j is positive.\nAnswer: j**(-14\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - 1 = 3*v - 30*m, -2*v = -4*m + 34 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, s: 2, q: 4, x: 1}. What is prob of sequence rs?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 22*w - 32*w = -5*c - 201 + 571, -369 = -4*w - 5*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*z - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 53*v\/3 + 34.\nAnswer: (v + 2)*(v + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**2*z**3 - o**2 + 3*o*z + 3*z**5 - 2*z**4 + 7*z wrt z?\nAnswer: 24*o**2*z + 60*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -85. Suppose 0 = -f*b + 2*i + i + 61, 4*i = b - 28. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 98. Suppose -5*k + 2255 - 70 = z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 0.016 (c) -9071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232258848 a multiple of 2148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g**2 - 4*g + 10. What are the prime factors of c(6)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-448)\/(-44) + (-12)\/66. Let n = 5 + -1. What is the highest common divisor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-32)*(10\/100)\/(2\/(-56)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*k - 1 - 3)*(-1 - 3 + 3).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - v + 49, -236 = 5*s + 4*v. What is the units digit of -7 - (-16)\/4 - s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3406 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m + 7*m. Suppose 0 = 38*b - 189 - 571. Solve 22*v - b*v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -0.08, 5, -0.5, 10, -0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 1 + 6 + 2 + 3.\nAnswer: -2*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -968*j + 1877*j - 910*j + 2 - 7*j**3 + 3*j**2 to the form u*j**3 + t + z*j**2 + n*j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.232811ng in milligrams?\nAnswer: 0.000009232811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 + 22\/9*i**4 + 28\/3*i**3 + 0*i + 1\/180*i**6 + 5\/18*i**5 + 6*i**2. Determine w, given that p(w) = 0.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 805442.7 centimeters?\nAnswer: 8054427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 0.349?\nAnswer: 0.349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 296441215 divided by -296441215\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/(-1))\/(2\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70685 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17332)\/(-60) - (-4)\/30. Suppose 298*h - 10062 = m*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 5059688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*t - 14 - 6, -5*c + 25 = -3*t. Suppose 5*d + 10 = c*o, d = -o - d + 8. Suppose o*p + p = 20. Solve 4*k + u = 3, 4*k - p*u - 3 - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5 and ((-144)\/(-10))\/(9\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -8, -31, 0, 1 in descending order.\nAnswer: 6, 1, 0, -1, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-27)*j**(-16)*(j\/j**(-1\/8))\/j**(-6\/17))**(1\/30) assuming j is positive.\nAnswer: j**(-5647\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459600, 459616, 459584, 459480, 459280, 458960, 458496?\nAnswer: 457864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13 - 11*x - 3*x - x + 2*x - 17*x**2. Let z(y) be the first derivative of -8*y**3\/3 - 3*y**2 - 6*y + 1. Calculate -6*u(s) + 13*z(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 - 15) + -3 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515830033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 1, j: 2, o: 2, f: 3, d: 6}. What is prob of sequence oo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 417, 837, 1257, 1677, 2097, 2517?\n\"Answer: 420*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19799491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110100101 (base 2) to base 14\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 - -689. Let y = 234.9841 - m. Round y to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2466*u - 175*u**2 - 1052*u**2 - 1 - 1187*u**2 + 0 - 355*u**2 wrt u?\nAnswer: -5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 12, -5*b + 132 = 3*o. Let t = -3 + o. What is the derivative of -13 + 42*n - 89*n + t*n - 13 wrt n?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i + 108. What is x(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k. Let v be h(-5). Let g(a) = 4*a + 0*a - a**3 + 2*a**2 + v*a**2 - a - 3. Let x be g(2). Solve 1 = -3*d + b, -d - 1 = -x*b + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + 15*u**2 + 5*u - 6. Determine l(3).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 73*c**3 + 21*c**2 + 6*c. Let o(v) = 146*v**3 + 42*v**2 + 11*v. Let g(j) = 3*o(j) - 5*s(j). What is the third derivative of g(f) wrt f?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3559\/1704 - -37\/284. Calculate the common denominator of k and -121\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118400 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3999 = -10127. What are the prime factors of c?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 5*x**2 - 15*x + 27. Give d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -34, -61, -86, -103?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 31248*t**3 - 9*t**2 - 7*t - 9. Let g(l) = -15624*l**3 + 4*l**2 + 3*l + 4. Let q(x) = 5*g(x) + 2*u(x). Let w be q(-2). Round w to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from jol.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 168594280*i\/9 + 3553003906089800\/9.\nAnswer: 2*(i + 42148570)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.312285mg to micrograms.\nAnswer: 1312.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319*j**2*r*z**3 + 16*j**2*r*z**2 + 2*j**2*r + 2722*r*z**3 - 38*r*z + r - 268*z**2 + 2 wrt z.\nAnswer: 1914*j**2*r + 16332*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from gcccgcgggc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 55*a - 35. Let n(s) = 13*s - 9. What is -6*b(l) + 22*n(l)?\nAnswer: -44*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(17))**2*6 + 0) + (-1 + (sqrt(425)*-2)**2)*2.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2. Let d(z) = -4*z + 3. Suppose t + 71 = 5*k, 12 = 2*k - 2*t - 18. Let v(y) = 9*y - 7. Let r(m) = k*d(m) + 6*v(m). Give r(b(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/79)\/x*x**(-3\/11))**38)**(-33))**(-8) assuming x is positive.\nAnswer: x**(-1028736\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 103, 237, 425, 667?\n\"Answer: 27*v**2 - v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062222 by -21.\nAnswer: -50582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, -1629, -4712, -9027, -14574, -21353, -29364?\nAnswer: -38607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 20. Give l(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*c - 2 = 3, -2*l = -2*c - 18. Sort -2\/7, l, -5, -1\/3 in decreasing order.\nAnswer: l, -2\/7, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (2 - 0))*114. Suppose 3*n - g = 3*k + 114, -2*k = 4*n - 310. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 40.768. What is o rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 19*w**4\/12 - 22*w. Let h(j) = 7*j + 5. Let b(g) = 4*g + 3. Let r(l) = -10*b(l) + 6*h(l). What is r(p(u))?\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7184436.936 to the nearest 10000.\nAnswer: -7180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, and 1 w when three letters picked without replacement from {q: 2, c: 2, g: 1, u: 4, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 2094. Let o(t) = -7. Calculate -5*o(j) - y(j).\nAnswer: 2*j - 2059","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + 6. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 30. Let z(o) = -1. Let b(c) = -k(c) - 30*z(c). Let i(j) = -35*j. Calculate i(b(l)).\nAnswer: -175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -557.\nAnswer: -556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2187550 divided by -5.\nAnswer: -437510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 11}. What is prob of picking 1 s and 2 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -21337260 greater than or equal to -21337255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -3 + 5 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010212 (base 3) to base 9.\nAnswer: -1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3685271*a - 55279066. Determine u(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 20. What is the smallest value in -5, -0.5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 53?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 - 1\/(9\/15)). Find the first derivative of 0 - 2*h**a - 8*h**3 + 0*h**3 - 11 wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1074*t + 48. Let z(m) = 359*m + 15. Give 3*h(v) - 10*z(v).\nAnswer: -368*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*t - 0*b - 152, 4*b = 4*t + 176. Let n = t - -39. Which is bigger: 4\/37 or n?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109447 + 349863 = -4939*y - 249878 + 215288 for y.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17536 + 17520 = 8*o. Let h(b) = 0 + b - 4 - 14*b. What is the tens digit of h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let c(u) = -5*u - 11. Let h(j) = -2*c(j) + 11*n(j). Let a be h(-6). Is (-4065)\/(-6) - 3\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8573\/138 - -1425\/23. Which is the second biggest value? (a) -4 (b) d (c) -994\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.74 - -8. Let y = q + -0.3. Let a = y + -1.96. Sort a, 1\/3, 0.5 in increasing order.\nAnswer: a, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.9464477 to three decimal places.\nAnswer: 20.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 607 - 600 = 0. Sort -1, v, 2\/13 in increasing order.\nAnswer: v, -1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 276*g + 400. Determine n(-2).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 - 0.64. Let o = n - -0.24. Sort 2, 0.4, o in descending order.\nAnswer: o, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -39*j**3 + 213*j**2 - 107*j + 35. What is x(5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 41053 = 5*a + 28*i, 0 = -4*a + 2*i + 32816. List the prime factors of a.\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5\/7 - 2132*l**4\/7 + 366792*l**3\/7 - 19851520*l**2\/7 - 5883904*l = 0. Calculate l.\nAnswer: -2, 0, 119, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/30*(-8)\/24.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2507*-0.7\nAnswer: -1754.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9275.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -30084198 at most -30084198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 4*k - 2*k - 42797. What are the prime factors of k?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 143314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -4*l**4\/3 + 2*l**3\/3 - 10*l. What is the second derivative of p(t) wrt t?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 + 2*z. Let g be k(-1). Suppose -5*t - n - 35 = 0, 31 - 91 = 5*t - g*n. Calculate the least common multiple of 8 and (t\/10)\/(8\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 277 = -257. Which is the second smallest value? (a) v (b) -0.1 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80 + 2*c + 2*c**3 + 109*c**2 - 109*c**2 - 3*c wrt c?\nAnswer: 6*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**10*p))\/((p*p**(1\/4))\/p*p))**(-4) assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24649296 is divided by 258?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-4)\/(-4)) - 9\/(-6))*24\/678?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16. Suppose 4*x - 32 = 2*n, -d*x - 2*n = n - 6. Solve j = -2 + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 67 = 14*q - 63 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2628?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 1.60158. Round w to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1, -10 in increasing order.\nAnswer: -10, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**2 - 3*o + 13. Determine s(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2411, -4513, -6305, -7787, -8959?\n\"Answer: 155*y**2 - 2567*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 9 - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = 0, -20 = -y - 5*l + 703. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/5 - 99153*l**2 - 21819603*l\/5 + 4463073 = 0.\nAnswer: -45, 1, 165299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*s. Suppose 4*v + s*v = 138. Let f = v - 18. Let m(p) = -p**3 + 4*p**2 + 5*p - 3. Determine m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 0*n**2 + 7*n**2 - 6 + 2*n**2 + 2 + 2 + (-3 + 4 - 2)*(-3*n - 2*n**2 + 3*n) in the form o*n + q*n**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999392 divided by 666464?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4863 + -4744. Is q less than or equal to 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.08\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1076790*x + 4307180. Give t(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -84, -297, -710, -1389, -2400, -3809?\nAnswer: -5682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k + 4*m = 30, -4*k - m - 3 = 0. Let z be k\/(3\/3) - 0. Let c = z - -11. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56800227307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 25. What is the second smallest value in -2\/5, -3\/4, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Let s(c) = -6*c**3 - 35*c**2 + 8*c + 11. Let g be s(-6). Let x = 3.06 - 0.06. What is the nearest to g in 0.2, n, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:48 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u = 857 - 1271 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66805740*b**2 - 20293756?\nAnswer: -133611480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuuuuukwkkuukuku. Give prob of sequence kuw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-2852)\/(-8))\/((-4)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - h = -4, 3*h - 4 = 5*u + 2*h. Solve u = 3*f + f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*z + 1194*z = 65 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**3 - 10*h**2 - 17*h + 6. What is the thousands digit of y(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 6*w**2 - 7*w - 6. Let p(f) = 17*f**2 - 3*f**3 + 11*f - 5*f**3 + 19 + 9*f - 2. Determine 17*l(x) + 6*p(x).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 306763725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/231183 and 91\/204.\nAnswer: 924732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 87. Let j be (-12)\/a - 322\/(-9). Suppose -h = 3*y - j, 45 = 5*h + 5*y - 95. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l**3 - 7*l**3 + l**3 + l**3.\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -1, 12, 26 in descending order.\nAnswer: 26, 12, 10, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s + 2*s**4 - 866 - 462*s**3 + 759 + 3*s wrt s.\nAnswer: 24*s**2 - 2772*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from wgugwgzgze?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7645 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/35 + (6362\/126 - -5). Let z = -527\/9 + s. Calculate the common denominator of 107\/42 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -973, -1949, -2925?\nAnswer: -3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414942066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 7*k - 12. Let d be a(-4). Suppose 0 = 5*w + o - 5*o - 9009, -o - 1 = d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqqqqehqheqaqhhlh. What is prob of picking 2 q and 1 a?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**2 + 27*d + 122. Let i be m(-8). Is 290 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 24*n**2 + 372*n - 3383. What is u(7)?\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 1\/2, -1\/6, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 73*i**2 - 52*i - 1925. What is y(-24)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*z - 2*m + 36, -2*z - 5*m + 9 = 0. Factor 2\/7*b**z - 8\/7*b + 6\/7.\nAnswer: 2*(b - 3)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 10*p**2 - 4*p**2 + 37 - 14 + p**2.\nAnswer: 7*p**2 - 10*p + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191\/14 + 997\/70. Sort -263, -0.1, v in decreasing order.\nAnswer: v, -0.1, -263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 12*n**2 + 5*n + 7. Give b(10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18 and 61\/942.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 421*d**6\/60 - d**5\/30 - 383*d**4\/24 + 752*d**2. Find the third derivative of m(a) wrt a.\nAnswer: 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2 - 451*v. Let c(b) = -126*b - 33. Let h(p) = 23*p + 6. Let j(l) = -2*c(l) - 11*h(l). Determine w(j(i)).\nAnswer: -7*i**2 + 451*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3*q**5\/20 - q**3\/6 + 6*q. Find the second derivative of a(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(108) + -1) + sqrt(3) + (sqrt(12)\/sqrt(4)*1)**2 + 2 + -2*(sqrt(24)\/(-5*sqrt(24)\/sqrt(3)))**2*-4.\nAnswer: 99\/25 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7544)\/(-42702) - (-8)\/(-44). Let v = -157421\/38820 - n. Let y = -1455 + 11739\/8. What is the common denominator of v and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 + 12*v**2 - 2*v - 4. Let w(a) = -a**3 + a**2 - a + 1. Suppose 4*j - 4 = 0, -3*g + 5*j - 5 - 3 = 0. Let k(b) = g*f(b) - 2*w(b). Factor k(s).\nAnswer: 2*(s - 1)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-4\/3)*a**(-14) assuming a is positive.\nAnswer: a**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 47 + (-79 - -94)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*g - 1 = q, 5*q = 3*g - 27. Let z(h) = h**3 + 6*h**2 - 3*h - 2. Calculate z(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941.55 kilograms in micrograms?\nAnswer: 7941550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -2*(-3 + 2). Suppose -4*v = 4*l - 41 - 95, l - v - 42 = n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 13) in base 9?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.061 + -2.061. Put 1\/6, o, -2\/5 in increasing order.\nAnswer: o, -2\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 296 - 284. Suppose -4*h = -4*f - g, 2*h - 11*f + 8*f - 4 = 0. Solve n - 3*x + x = -h, -2*n - x = -10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 0*s - 3*l + 36, -4*s + 52 = 2*l for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16384961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90156 (base 10) in base 4?\nAnswer: 112000230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**2 - 10\/3*f**3 - 10\/3*f**4 - 26*f + 1\/4*f**5 + 0 + 1\/3*f**6. Factor n(g).\nAnswer: 5*g*(g - 2)*(g + 2)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 5*x + 3. Let w be z(-5). Suppose 7*m - 1088 - 740 = -498. Suppose -176 = -2*g + q, w*g - m = -3*q + 83. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 58. Let d(t) = -t**3 - 8*t**2 + 10*t + 11. Let j be d(-8). Calculate the remainder when (-2)\/1 - (1 + j) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m + 1. Suppose 3*u = -2*l + 169, -5*u + 3*u + 4*l = -86. Suppose 15*v + 38 = u. Let g(c) = 2*c**2 - 5*c + 5. Determine v*g(x) - 5*q(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-3 + (143\/(-66))\/((-2)\/3). Which is the nearest to -1.4? (a) u (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106369.3884 plus 6372?\nAnswer: 112741.3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.4 + -32. Let f = -0.6 - w. Let j = f + -5. What is the third biggest value in 1\/4, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 17*z**2 + 3*z - 43. What is q(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q - 6*q)*(0 - 2 + 12)*(0 + 0 + 6*q)*(0*q**3 + 2*q**3 - q**3).\nAnswer: -240*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108963936 divided by -288.\nAnswer: 378347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4165744?\nAnswer: 8331488","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 2, m: 4, p: 1, d: 1}. Give prob of picking 2 d and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1411\/15 + 94. Are l and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101546149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is (-611247)\/(-27) + 624\/(-108) + 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 * -1198\nAnswer: 58.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.45? (a) -762 (b) -2\/39 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 10. Give j(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/12 - 121*t**2\/2 + 92*t. Let o(c) be the first derivative of r(c). Let f(j) = -41*j. What is f(o(s))?\nAnswer: 82*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 51, -6 in increasing order.\nAnswer: -6, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 39, 760 in decreasing order.\nAnswer: 760, 39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1173 or 1723?\nAnswer: 1723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3207169583 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**2)**(-1\/3)*(n**3)**(-22))**(13\/6))**(2\/19) assuming n is positive.\nAnswer: n**(-286\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13316016 and 7609152?\nAnswer: 53264064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - b = 1682, 3*d = -4*b + 1103 + 554. What are the prime factors of d?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 5*m - 9*m - 9*m + 22*m.\nAnswer: -m + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/4 + 7)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.2, -1.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146016739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r**2 - 2*r - 2. Calculate h(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -19, 0.3, -7592, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -d91d7c3?\nAnswer: d91d7b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o - 3. Suppose 2*l = -3*y + y + 6, 0 = l - 2*y - 9. Suppose -l = -v - 8. Calculate j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/70)\/((-6)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 33*o**2. Let r(p) = -16*p**2. Determine -14*r(w) - 6*s(w).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 14*r + 186 = 498, -6*i - 16 = i - 2*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/15)\/((164\/(-123))\/(10\/6))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1202 - 905. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -25 in increasing order.\nAnswer: -25, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 50*g - 74 = 51*g, 3*o + 55 = -g for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13378 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: Solve 5*r - r = 2*s - 14, 3*r + 14 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 945695 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516029 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 20 = 5*k + 5*v, 4*k - 16 = v. Suppose 4 = k*b - 2*b. Solve -2*u - b = -5*y - 0, -3 = 3*u + 2*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 24 - 19 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 18 = -2*z + 26, -4*v - 65 = -3*z. Suppose 0 = 22*h - z*h - 63. Solve -8 = 4*b + 2*u - 5*u, 0 = -5*b - 4*u + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (1*sqrt(114)*-3 + sqrt(114) - sqrt(114)) + sqrt(114))*6)\/(sqrt(60)\/(sqrt(10) - sqrt(90)\/(sqrt(72)\/sqrt(8) + sqrt(9)))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t*(t\/(t*t**(-8)))\/t)\/((((t**(-1\/8)*t)\/t)\/t)\/t*t)**(2\/25) assuming t is positive.\nAnswer: t**(1709\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1563 - -0.3\nAnswer: -1562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k. Let l = k + 0. Suppose 5*w - 69 - 146 = l. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -7\/2*q**2 - 1\/60*q**5 - 6 + 0*q - 1\/8*q**4 + 0*q**3. Let x(l) be the second derivative of u(l). Factor x(y).\nAnswer: -y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 963, 1927, 2891, 3855, 4819?\n\"Answer: 964*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*p**5 + 4*p**2 + 2*p - 5367.\nAnswer: -440*p**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33439 - -33455. What is the lowest common multiple of y and 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, l: 2, m: 1, b: 1, o: 2}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*w + 3015 = 1185 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18593 is divided by 6188.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 624*g**3 + 7776*g**2 + 31488*g + 42240 = 0.\nAnswer: -4, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (20 + 24 - 41)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 5*d**4\/12 - 13*d**3\/6 + 17*d**2 + 27*d. Let b be c(11). Suppose b = 3*s + 124. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 54*k = -24. Let x be (-10)\/1 + (-990)\/(-45). Solve 0 = k*f + x + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 92.00000498. What is f rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buubouumummukb. Give prob of sequence mb.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-3 - 130\/(-10)). What is the second derivative of -33*w**4 - 5*w**o - 91*w + 31*w**4 - 33*w**5 wrt w?\nAnswer: -760*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(80) + sqrt(80) + 2)*1)**2 - (0 + 2 + (-1*sqrt(80))**2).\nAnswer: 1152*sqrt(5) + 11582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2906565 by -968855.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, 1712, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32695 divided by 1009?\nAnswer: 32695\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(72)*-1 + 5.\nAnswer: -6*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21760 - -21820. Calculate the greatest common factor of y and 19200.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144309081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/4*-4)\/((-6)\/(-4)*26\/(-39)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 270 = 5*p + 295, 2*c - p - 225 = 0. Let h = c - 97. Calculate the remainder when 24 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i + 26. Let c = i - -30. Find the third derivative of 16*d**3 + 6*d**2 + c*d**2 - 20*d**3 wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142.923 - -143. Let p = 0.077 - g. Let t = -0.2 + 0.3. What is the closest to p in 2\/9, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2788.8 - -2789.8. Which is the closest to 5? (a) -0.2 (b) -2 (c) w (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7756b (base 13) to base 11\nAnswer: -138512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 33*p - 28 = 37*p, -4*f - 4*p + 20 = -12*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -p + 3 - n = 0. Let w = 2 + p. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*q + 25 = 0, 0 = -2*h - 4*q - 4 - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-210)*(1 - (-2)\/2)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 + 5*v. Let f be q(4). Let r = 3 + -1. Let s(i) = i - i - r*i + f*i. Let b(k) = 2*k**2. Determine s(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42 - 34 - 2*2. Solve -14 = -d*v - 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 40. Suppose 18 + f = 3*l. Solve 2*a = -2*a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**3 + i**2 + 99*i**3 - 9277 + 9277.\nAnswer: 81*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 197, 206, 221, 242, 269, 302?\n\"Answer: 3*o**2 + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3858, -3211, 14 in descending order.\nAnswer: 14, -3211, -3858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - 18\/4. Suppose 63 = 22*g - 1213. Suppose -126 = -49*w + g*w. What is the third biggest value in w, -1, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 200 + 0*j**3 - 200.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and 58967948034?\nAnswer: 58967948002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 10. Let n(j) = j + 7 - 11 - 5*j - 5. Let z(c) = 6*n(c) - 5*t(c). Let s be z(6). Solve -s*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-4 + -2 + 24 - -3) + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*h - 33. List the prime factors of 1\/(h\/(156*-1)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*s = -560 + 6158 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.2*0.3.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479012 is divided by 1493002.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10664 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-94861)\/(-338) - 6\/4. Let z = q + -279. Which is greater: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from {d: 17, l: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 339080 + 3?\nAnswer: 339083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-28))\/((-62)\/217).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/19)*k)\/k**(4\/11) assuming k is positive.\nAnswer: k**(364\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 6. Let s = 20 - 28. Is 8 a factor of v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 23 + 57. Suppose -y - o = -2*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 253 - 2*s**3 + s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*l**3*q**4 - 11935*l**3*q**2 + 22*l**2*q**2 + 913*l*q**4 wrt q.\nAnswer: -2472*l**3*q + 21912*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 488441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*w + 372 = 7*b, 0 = 4*w + 12. Let g be (-4)\/(1\/3 + (-150)\/b). Solve -k = g*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x. Let s be u(2). Suppose -3*c + 6 = -s*c. Suppose -2*f = -c*z - 62, f - 68 = -f - z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8937, 35766, 80483, 143088, 223581, 321962?\n\"Answer: 8944*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.602376 milliseconds to hours.\nAnswer: 0.00000850066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 3) to base 6\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + 9 + (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*(c*(c*c\/(c\/(c\/((c\/c**(2\/5))\/c)*c*c)))\/c*c*c)\/c*(c**0*c)**(-48))**49 assuming c is positive.\nAnswer: c**(-11172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-5)\/(-7)*497\/(-1136))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*i**4 + 3580*i**3 - 10005*i**2 - 3150*i = 0. What is i?\nAnswer: -105, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by 6.\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*b - 65 - 260, 0 = -3*b - 3. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 8*j**7\/21 - 5*j**4\/4 + 33*j. Find the third derivative of r(b) wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from pbbbpppp.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:58 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ooooooqqoooo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 135 + 195. Suppose 0 = 4*r - b - 89, -3*r + 2*b - b + m = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 1. Let o be n(-10). Suppose 69*p = o*p. Suppose 3*i - s - 1774 = p, 3158 - 202 = 5*i - s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23657.5 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 10*u**2 + 19*u + 23. Determine h(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15582 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (-1*sqrt(1900) + -4)*1 - (((0 + sqrt(1900))*3 - (-5 + (sqrt(1900) - (sqrt(1900) + sqrt(1900) + -1 + sqrt(1900))))) + 3)))**2.\nAnswer: 6480*sqrt(19) + 615924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 12*p**2 + 0*p + 5\/6*p**3 + 1\/6*p**5 - 1\/6*p**6 + 5\/6*p**4 - 1\/14*p**7. Suppose h(q) = 0. What is q?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**3*z - 4*b**3 + 11*b*z + 40*b + 360*z + 3744 wrt z?\nAnswer: -3*b**3 + 11*b + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4670838101.1999007 + -4670837857. Let w = -244.2 + t. Round w to 6 dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*c - 771, -6*o + 3*o = 4*c - 795. What is the third derivative of 5*i**4 + o*i**2 + 3 - 1 - i**3 - 253*i**2 wrt i?\nAnswer: 120*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:18 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(385)*-2)\/sqrt(7))\/(sqrt(500)*1).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1\/((-10)\/4795). Let u(v) = v**2 + t*v - 959*v. Let a(m) = -14*m. Calculate u(a(o)).\nAnswer: 196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 5*o - 9*o - 28625992 = 0, -9542002 = -2*a - o. Round a to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*z + 2*z**2 + 73051 - 73048 + 9*z**4 + 0*z**2 to the form w*z**4 + b*z**2 + r*z + d + l*z**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by 734068.\nAnswer: -85\/367034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - -4) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83661 divided by -4.\nAnswer: -83661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbpggpppp. What is prob of sequence ppbp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/4 + 2*p**3 + 4*p - 1. Let o be t(6). Suppose 0 = -5*s + 4*s + o. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a factor of 586265216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -10. Let o(a) = -a - 3. Let d be o(h). Let b(g) = g - 11. Let s be b(12). Put s, 0, d in ascending order.\nAnswer: 0, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 + 17*g + 0 - 25*g + 7 - 3*g**3. Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -6. Suppose a - 5*a + 12 = 0. Suppose 99 = -a*m + k*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - s - 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/60 + w**4\/8 + w**3\/3 + w**2. Let m be 4*2 - 5\/(-35)*-7. Suppose 0 = -2*x + m*x + 10. Determine g(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(51)*-2)\/sqrt(3))**2) + 4.\nAnswer: -64 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 16*r**3 + 11*r**2 + r**2 - 37*r**3 - 39*r**3 + 120 + 188*r.\nAnswer: -4*(r - 2)*(r + 1)**2*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 11*n + 40. Calculate the remainder when m(-8) is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 214856654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 7 - 199 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 5*j = -44. Suppose 5*q = -20, 4*n + 3*q + j - 476 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 31*s - 146. What is the least common multiple of (-4)\/(-1 + (-2)\/(-4)) and m(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 403*i. Let j(s) = -3*s**2. Determine j(d(g)).\nAnswer: -487227*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 1275?\nAnswer: 28\/1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 165218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -6. Suppose -4*s + 22 = 5*g - 37, -s = -w*g + 32. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 44. Calculate s(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 139*i - 4*i.\nAnswer: 135*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-34))\/(((-52)\/(-8))\/(-13)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000523 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*-3*(-1)\/(-2). Let f be (39\/j + 1)*-126. Suppose -2*u + 4*d + 104 = 0, 3*u + 9472*d - 9467*d = 68. Calculate the greatest common divisor of u and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:30 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 17*f + 3*q = 6, -3*f - 12 = -q. Let v be (-2 + 1)*-4*1. Sort 3, v, -4, f in ascending order.\nAnswer: f, -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from rrruurrrr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 127.3. Let p = -27.7 + d. Which is greater: -16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 159*r**2 + 6. Let a(p) = p**3 + p**2 + 1. Give -4*a(o) + f(o).\nAnswer: -2*o**3 - 163*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.7 + -84.2. Let w = 63.6 + g. Suppose 0*t = -5*n - 3*t - 16, -4*n - 17 = t. Which is the fourth smallest value? (a) 0 (b) 2\/5 (c) n (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*5*(999\/18 - 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let k be (-3 - -7)\/(4 - (2 - 0)). Which is the smallest value? (a) k (b) y (c) -1.3 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*a = 91*a + 33. Suppose 12 = 3*z + 2*b, 5*z - 5*b - 8 = a*z. Solve l + 3*l = -4*x, z*l - x + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -7*d**6\/30 + 3*d**2\/2 + 4*d. What is the derivative of b(n) wrt n?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 10. Let y be i(3). What is the tens digit of -3 + (y - 0)\/(4\/166)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109323 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(4\/1))\/(-1). Suppose 5*o - 26 + 1 = h. Let f = -1609 + 1611. Solve -o*k = -4*r - 2 - 15, -4*k - 2 = f*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*x - 5*z + 2074, 4*z - 1031 = -x. Calculate the remainder when x is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.9 + 137. Let i = -0.1 + -10.9. Let j = l - i. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10 - 534*k - 4.\nAnswer: -534*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 6 - (1 - (-6)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 576, 1446, 2662, 4224, 6132, 8386?\nAnswer: 10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561497*k**6 + 420*k**2 - 411*k wrt k?\nAnswer: -67379640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2)\/((-1)\/(-2)). Find the first derivative of 0*h - 7 - y*h - 2*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29817 + -29513. What is the smallest common multiple of 304 and q?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11281?\nAnswer: 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -494.\nAnswer: -494, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008681?\nAnswer: 491, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 168*h**2 + 2016*h - 10880.\nAnswer: 2*(h - 4)*(h + 20)*(h + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 35, 93, 175, 281?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -30489819.8 and 0.0117.\nAnswer: -30489819.7883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -538 smaller than -537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 9*q = 3780. Let o(t) = -8*t**2 + 2. Let z be o(-2). What is the common denominator of q\/z*(-45)\/24 and -53\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1954.937559 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280 + -274. Suppose 0 = -3*o + 4*m - 14, 5*o = -2*m + 14 + g. Solve -o*d + 2 = -4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273.519 - 0.519. Let b = 272.999572 - n. What is b rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335765 is divided by 4093.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 437771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291 and 3148426?\nAnswer: 9445278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p + 123*p = -4*d - 34, 5*p = 3*d + 32. Let w(m) be the second derivative of m**4\/12 + 4*m**3\/3 - 3*m**2 - 2*m. Give w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 16) in base 3?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1892 and 25\/23564?\nAnswer: 259204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 + 1?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122411051?\nAnswer: 7, 2843, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 5*h + 2*h + 5.\nAnswer: -3*h - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {m: 6, l: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16604*t + 16488*t - 1624 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - v - 10 + 3 = 0, 0 = -3*a - v - 23. Let s(g) = -g**2 - 10*g + 6. Let r be s(a). Suppose 3*z = -6, d - r = 3*z + 4. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -5*a**4\/2 + a**3\/2 - a**2 - 2*a. Let z be y(1). Let o = -27 - z. Solve -4*k = -4*u - 8, o*u - 1 = 3*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 255 + 69 + 93 + 93 + 20*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010110110010 (base 2) to base 8.\nAnswer: -52662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c2393 (base 13) in base 5?\nAnswer: 42112003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 + s - 1. Let v be g(0). Let n(k) = -31*k**3 + 2*k**2 + k. Let c be n(v). What is the highest common factor of c and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.4 (c) 1.3 (d) 2 (e) 1\/5 (f) -5.246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134213 and 1.12.\nAnswer: -150318.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/(-48)*(248\/5)\/31?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 10:52 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - -7.34.\nAnswer: 44.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvaavvvvvvvvavp. Give prob of sequence vpav.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-7) - -2) + 2584\/4788?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 5176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -2*z. Suppose -37 = -z*f - 12. Suppose 3*h = -h - f*r + 71, -4*h + 2*r = -78. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/13)*(i\/(((i\/(i\/(i*i*i**(4\/5)*i)))\/i)\/i))\/i)\/(i**(-1))**(-1\/5))**(-39) assuming i is positive.\nAnswer: i**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560\/(-10)*(-40)\/(-280)*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:06 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 - 8490 = -3*k. Suppose -5*p - 3*v + 20480 + k = 0, -5*p = 5*v - 23570. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137716590928 + 137716590098.00000427. Let i = -1141 + 311. Let g = a - i. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -964647 * -18\nAnswer: 17363646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 80 = -15*x. Let m be 4*(-15)\/x + -35. Let p = -13 - m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1162226579*o**2 - 565547148*o wrt o?\nAnswer: 2324453158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/11 + 5130*d**4\/11 - 10268*d**3\/11 + 4*d**2\/11 + 10266*d\/11 - 5134\/11 = 0?\nAnswer: -2567, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 3*x**3\/2 + x**2. What are the prime factors of v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 14*q**2 + 2*q + 31. Let n be v(-14). Solve -2*j + l = -l, 5*j + n*l - 32 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9134198 is divided by 419?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18877423 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 143\/38 + 5651\/114. Which is bigger: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q + 4*z, -4*q + z - 58 = -0*z. Let k = q + 26. Solve -h = 3*h + k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 36 = -2*h - 196 - 211, -4*h = -5*o + 71 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c*j**3*k + c*j**3*v - 19*c*j**2*v + c*j + 2*c*k*v + 2*c*k + 9*j**3*k*v wrt j?\nAnswer: 66*c*k + 6*c*v + 54*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174669.\nAnswer: 3, 11, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 8. List the prime factors of ((-5)\/t)\/((-1)\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 + 5 = -k, -10 = 4*k - 5*w. Suppose 4*j - s = -k*s + 16, 0 = 3*s. Suppose -5*n + 22 = -j*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/(-6)*-2*5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -0*o + 70. Solve -13 = -o*r + 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(17) + -4.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 28. Let s = 31 - v. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -818.9 - -818.8999982609. Round z to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-230))\/(27\/(-3105)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430815 and 61545?\nAnswer: 430815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-30))\/(3\/(-21)*1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1564274740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 + 0*c**2)*(316 - 138 + 257 + 490).\nAnswer: 925*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i**2 + 0)*(3*i**3 + 3 - 3) + 5*i**5 - 11*i**5 - 2*i**5.\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 34, 31, 28?\n\"Answer: -3*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(21)\/(sqrt(7)*-1) + 1*sqrt(3) + -1 - (2 + 0 + sqrt(432) + sqrt(432))).\nAnswer: 6 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7*8\/20)\/((-98)\/(-49))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 859523*k**2 - 587297 wrt k.\nAnswer: 1719046*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -216\/5*w - 144\/5*w**2 - 108\/5 - 4\/5*w**4 - 8*w**3 = 0. What is w?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)\/n*n)\/n)**(-36\/7)*n\/(n*n**(-9))*n\/(n\/(n\/(n\/((n\/((n*n*n**(-1\/2)*n)\/n))\/n)*n))) assuming n is positive.\nAnswer: n**(1649\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1247064 and -85\/564148.\nAnswer: 23694216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*p**3 + 1153*g**2*p - 111*g*p**3 + 2*p**2 wrt p.\nAnswer: -12*g**2 - 666*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 f when three letters picked without replacement from {a: 1, o: 2, f: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/11 - 4124*j**4\/11 + 4235305*j**3\/11 + 34126138*j**2\/11 + 21548380*j\/11 - 213417800\/11 = 0 for j.\nAnswer: -5, 2, 2066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(112) + 0)*-2 - (-2 + 3*sqrt(112)) - (5 + 1 + 0 + -1 + sqrt(112))))**2.\nAnswer: 2304*sqrt(7) + 64656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181415 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {b: 7, f: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -260\/23, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4423 divided by -279481?\nAnswer: 4423\/279481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*-1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*l - 79370 = 0, -z + 15867 = 6*l - 8*l. List the prime factors of z.\nAnswer: 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 + 0*t - 7\/12*t**4 - 1\/60*t**5 - 10*t**2 - 1\/2*t**3. Let c be y(-14). Sort c, -5, 5 in descending order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - 4. Let l(o) = o**3 + 6*o**2 + o - 4. Let b be l(-4). Let h = b + z. What is the biggest value in h, 3\/5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-110*v**2 - 23*v**2 - 49*v**2)*(-v + 1 + 0 + 15*v**2 - 16*v**2) to the form b*v**2 + a + n*v**4 + h*v + g*v**3 and give g.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 71. Suppose -5*x + r = -94. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222757 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 9792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = f. Let r(m) = 2*m**2 - 17*m - 4. Let h be r(f). Solve 2*p - 14 = -2*d, -4*d - h*p + 41 = 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s. Suppose 5*w + 293 = 4*t, s = 3*t + w - 6*w - 216. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (23 - 20) + (28 - (1 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/69 or 660\/41?\nAnswer: 660\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10170 and 77\/6780?\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716534805?\nAnswer: 3, 5, 7, 6824141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (2*-2)\/(-2). Let z(i) = -31*i. Let q be z(3). Let m be 4\/(-22) + -2 + q\/33. Put m, c, 2 in ascending order.\nAnswer: m, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 812614803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 2*x - 1 + 0*x**2 - 2\/3*x**3. Find the first derivative of d(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 2*w**5\/15 + w**4\/24 - w**2. What is the units digit of r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l - 12 - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6, f - 126 = -4*h - 9. Suppose -3*z = -0*z + h. Let q be z\/(-30) + 720002\/(-6). What is q rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, -14, 0.0491 in decreasing order.\nAnswer: 5, 4, 0.0491, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.68401039 to 1 dp.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*h = 2905*h + 2743*h - 1006*h + 121481 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34354.363 - -34225. Round p to 0 dps.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255754*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10 + 6)) + (-1 - 4) - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(2 - 2 - 3)*(-4*i + 2*i + 0*i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 85, 207, 361, 547, 765?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-1)\/1*(693\/22 - 31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 15*d**2 + 1 + 9*d**2 - 21*d**2.\nAnswer: 12*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 16*c + 2124 - 6436 = 29*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -112921 greater than -112814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(-2)\/g)*g*(g**(1\/14)*g)\/g)**(-2\/59) assuming g is positive.\nAnswer: g**(-99\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151962272?\nAnswer: 2, 7, 11, 61673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10)*(-35)\/(-3)*85\/119. Solve -2*q + 3*z - 24 = q, -f*z = -4*q - 37 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 40 = i + 62, 4*i + k = -7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37416 and -1.1.\nAnswer: -41157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((-9 - (6 - 33)) + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 2. Suppose 5*f - 794 = -u, 0 = 3*u - 5*f + f - 2401. Let m = u - 797. Sort -2, 0, m, t in descending order.\nAnswer: m, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -71.8. Let s = 13 + z. Let r = s + -2.2. What is the second smallest value in r, 8, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 504*v - 8454. What is x(16)?\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 661563699 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275409867?\nAnswer: 3, 137, 670097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1285*c**2*f**3 - 458*c**2*f + 2*f**4 - 16*f**2 + 15*f wrt f?\nAnswer: -7710*c**2*f + 24*f**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 30. What is s(-8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125227 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 17 - (0 + (-14 - -18) - 11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (17 - -4 - 17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696 less than 7696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 210920933043.\nAnswer: 210920933042.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-210)\/28 + (-209)\/(-19). Let a(d) be the second derivative of o*d**2 - 8*d - 2 + 1\/6*d**3. Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2752)\/72)\/(-4))\/(12\/(-9)*(-19)\/114)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -57\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Suppose -220 = -0*y - b*y. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16*k = 21*k + 50, -3*b = 3*k - 24. Let v(t) = t**3 - 6*t**2 - t - 18. Does 62 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152692 and 76993?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.42182ml to litres.\nAnswer: 0.06042182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 - 0) - (-6 + 6 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -57 (b) 83\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 2, 167, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110011001100001 - 100001000?\nAnswer: -11100110011101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 139*m - 138*m + 5*r + 26, -5*m = 3*r + 130 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 633 and 25742?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52418.48 rounded to the nearest 100?\nAnswer: 52400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*a = -0*a - 464, -b - 104 = -5*a. Let d = -60 - b. Let p = d + -23. Calculate the remainder when 16 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1364*u**3 - 3*u**2 + u - 11882 wrt u.\nAnswer: 8184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/10834782 and 95\/2063768.\nAnswer: 43339128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -2*n, -l + 4*n = -0*l - 13. Let y be (l + -1)\/(1 - -1). Let k(j) = 2*j + 12. Let s be k(-6). Is y > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48165 is divided by 46412.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.231 + 4.431. Which is the biggest value? (a) -1\/8 (b) 2\/13 (c) 5 (d) f (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449797 divided by 2.\nAnswer: 449797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*g**2*y**2 + 1483402*a*g**2 + 6343*a*g*y - a*g - 2*g**2 + 277*y**2 wrt g.\nAnswer: -4*a*y**2 + 2966804*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12414 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -176 - 30.9\nAnswer: -206.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125533162 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 1 + 1)*(0*c + c - 2*c) - 2*c + 0*c - 12*c)*(-1 + 1 + 1) to v*c + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -4 + 4)**2*-2 - (sqrt(50)\/(sqrt(10) - sqrt(80)\/sqrt(8)*-3 - sqrt(10)) + 3).\nAnswer: -493 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23 - 0)\/(-23)*2147. Calculate the greatest common divisor of y and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose 20 = -2*s + z*s + i, -32 = -3*s - 2*i. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -243*j**3 + j. Suppose 0 = -2*p + 7*p + 3*a + 8, 5*a = 5*p. What are the prime factors of d(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 7*o - 5 = 0. Let q = -0.2 + 0. Put o, q, -0.5 in decreasing order.\nAnswer: o, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.117314 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 4*k + 1. Suppose 2 = 2*a - 12. Suppose a = -x + 2. Determine v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1777008 and -121\/7996536.\nAnswer: 15993072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 8, -5, -3465 in increasing order.\nAnswer: -3465, -5, -4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:57 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (14 - (2 - 8))*(-88)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 8, 38, 88, 164?\n\"Answer: u**3 + u**2 + 6*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g**2 + 999*g - 224666?\nAnswer: -8*g + 999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/(-15)*((-4560)\/252)\/19*(-21)\/18?\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 176050 + 10\nAnswer: 176060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 64 + 18 = -q - 13, -7 = q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 591.\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*1)\/sqrt(11).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o + 77. Let y(x) = -84*x + 153. Let w(m) = -7*d(m) + 3*y(m). Determine w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n - 9. Suppose -502 = -38*v + 600. Let s(z) = 830 + v*z + 839 - 1683. Calculate 8*a(q) - 5*s(q).\nAnswer: 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/2823135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j + 116 = -36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/13 (b) -19 (c) 146 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*m - 5*h, 6*m + 6 = 2*m + 2*h. What is the units digit of (-19 - -110)\/(m\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 114163.\nAnswer: -2397423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 - 3*f**3 + f - 2 + 7*f**3 + 21*f**2 - 10*f**2 + 7*f**4 to the form d + b*f**2 + n*f**4 + c*f**3 + a*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 35*l - 106*l + 326. Calculate the least common multiple of l and 614.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d - 1. Suppose 4 = 2*l - 6, -x - 3*l = -6. Let n(v) = v**2 + 9*v - 4. Let a be n(x). What is the units digit of y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360ab (base 13) to base 7\nAnswer: -561435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497 (base 13) to base 14.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13183 is divided by 4383.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21616 less than -484?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 3*t - 10 - 4*t as y*t + h and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47907018 <= 47907018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2898 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31869\/54 - 2\/12. Let m = f + -307. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*-6*(sqrt(95)\/(sqrt(5)*-2) - ((sqrt(2299) + 0)**2 - sqrt(19))).\nAnswer: -68967 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232322 - -3?\nAnswer: -232315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 131. Suppose -7*s + 16936 = -x*s - 3*l, 0 = -3*s + l + 10164. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21483\/6*(-56)\/(-21) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97074734 by -213821.\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -508, -535, -564, -595?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 326*d**3 + 13070*d**2 - 13398*d.\nAnswer: 2*d*(d - 1)*(d + 77)*(d + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 174.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1054\/136)\/((-5)\/100))\/(40\/16)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 + 9*f**2 + 206*f + 951. Determine n(-6).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 10) to base 7\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 3*w + 0*w)*(-1 + 4 + 2) + 0 + 0 + w - 1 + 1 + w - w + w - w + (4 - 2 + 0)*(-2*w - 3*w + 6*w) - 4*w + 5*w + w + 0*w - 2*w + 3*w + 2 - w - 2.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/4212 and -25\/24.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 28*h - 199. Calculate o(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -21 (c) 3 (d) -0.5 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32087 minus 9?\nAnswer: -9.32087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.225314 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)*23\/(253\/110)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - 12. Let x be (1\/t)\/((-4)\/16). Let g = 118 - 824\/7. Which is the closest to g? (a) 2 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 + 150.3. Let p = 47 + -35.3. Let f = p + -11. What is the nearest to f in o, -0.4, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -44, -85, -130?\n\"Answer: -2*f**2 - 31*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*o + 100*o + 30*o.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*s, -2*j + s + 20 = j. What is the biggest value in -4, -0.3, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 5.4. Let j = q - -4.9. Which is bigger: j or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u + 3. Let z be m(-2). Suppose 20 - 10 = z*y. Suppose -5*c + 3*i = -55, -c + y = -2*i - 9. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73 + 5c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 12) to base 16.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 4*k + 10. Let t be x(-3). What is the smallest common multiple of 40 and (-36)\/18 + ((-76)\/t)\/1?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 459055, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 + 2*z + 1. Suppose -7*t = -4*t - 3. Suppose -d - 2 = t, 0 = -2*g - d - 5. Give y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 617 (base 10) to base 9\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053597, 1053596, 1053595, 1053594?\nAnswer: 1053593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451759611?\nAnswer: 3, 1861, 80917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.85 rounded to 0 decimal places?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 12*w**2 + 12 - 7 with respect to w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8+398591\nAnswer: 398599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(1456\/14)*-3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s, -r + 5*s = -3*r + 591. Suppose -67 = -3*t + r. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.3. Let x be ((-221)\/195 - -3)*3\/4 - 1. Which is the closest to j? (a) 1\/3 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254780*i - 510056*i + 255277*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) 0.12 (c) -22.5 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 19\/1531?\nAnswer: 19\/1531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 24966.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -94*u + 11. Let n be l(-1). What is the greatest common factor of 255 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y + p - 2*p, -5*p = -4*y + 45. Suppose 0 = 6*n - n + y*j - 45, 5*n - 4*j = 0. Factor 2\/5*o**5 + 0 - 4\/5*o**3 + 0*o**2 + 0*o**n + 2\/5*o.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -992 + 997. Solve -3*u + 2*k + 16 = 0, u + l*k = 9*k + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12285\/(-42) + 1\/(-2). Round w to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975.35l in millilitres?\nAnswer: 1975350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82 - 9c?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a**3 + 0*a**5 + 0*a + 0*a**4 + 7\/2*a**2 - 5\/6*a**6 + 1. Find the second derivative of d(o) wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and -41\/6834?\nAnswer: 34170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 34853?\nAnswer: 8\/34853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 10*w - 160. Suppose -2*y + 273 = w*k - 1279, 6 = 3*y. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 70682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let g(l) = c - 1 + 5*l. Let m(x) = -5*x + 4*x - 5*x. Give 7*g(t) + 6*m(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n + 1335. What is u(-102)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.18 - -10.18. Let q = -2 - -3. Let t be (-34)\/(-66) - q\/3. Which is the closest to 0.1? (a) t (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4143833\/78 - -53125. What is the common denominator of h and -29\/7?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289365 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*d + 454*d - 73948 = -68*d + 152612 for d.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -81, 113 in decreasing order.\nAnswer: 113, 3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*o + 79*o - 1080 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116.35 + 116.05. Which is the fifth biggest value? (a) 2\/31 (b) 3 (c) -3 (d) o (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 8*c + 4. Let m(i) = -i**3 - 4*i**2 + 2*i + 3. Let f be m(-4). What is the remainder when j(f) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*y - 101, -k - 6*y = -y + 93. Let n = k + 127. Calculate the remainder when 86 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (1600\/225 + (-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by 253.\nAnswer: -29\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 5*f**4*l + 7*f**3*l + 101*f**2*l + f*l - l wrt f?\nAnswer: -120*f**3 - 120*f*l + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1011*m**2 + 4*m. Let f be k(1). Let h = f - 609. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-189)*2*(-150)\/(-40).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/(-15) - 2\/5. Suppose h = 3*i + 2. Calculate the highest common divisor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 31*o - 2079. Calculate the remainder when o is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -54. Let s(l) = -l. Let t(v) = v**2 - 3*v - 3. Let d(w) = -w**2 + 3*w + 2. Let p(k) = -3*d(k) - 2*t(k). Give x*s(n) + p(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4834.977 millennia?\nAnswer: 4834977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d (base 15) to base 5.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 1, 15\/4, 2\/5, 0, -0.1693, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 143, 319, 579, 929?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = 3*j - 31*a - 588569, 0 = -2*j + 4*a + 392366. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -0.2, 5, 2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, -18548658 in ascending order.\nAnswer: -18548658, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -540 + 600. Sort 0, 0.2, a in increasing order.\nAnswer: 0, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 15*r**2 + 24*r - 34. Let s be a(-13). Is 5\/20 - 19734\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 4*v - 1. Let f be (18\/(-4))\/(6\/8). Suppose 13*q - 147 - 399 = 0. What is the remainder when q is divided by y(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 20. Sort -1, 4, 0, u in descending order.\nAnswer: 4, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 18*f + 4*a = 0, 2*f - a - 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -23 + -1 + -2 + 5. Let s = 35 + r. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 7 in decreasing order.\nAnswer: 7, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63312975 and 32175?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -9 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -170, -499, -1154, -2255, -3922, -6275?\n\"Answer: -20*u**3 + 17*u**2 - 34*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 1. Calculate the smallest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 2449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5844 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 9362*n**3 - 21902397*n**2 + 43832884*n - 21921124.\nAnswer: -(n - 1)**2*(n + 4682)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from qaaaaaqaaaaqqqaa.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -0.5. Let o = 2362 - 2195.1. Let k = o - 167. Which is the third biggest value? (a) -0.4 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -16*v. Let r be 23*(-2)\/(-8) - 24\/32. Let y(h) = r*h - 5*h - 3*h + 4*h. Give q(y(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31381680 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 24999990 = 5*s + b*g, 0 = -4*s + 8*s + 5*g - 19999975. What is s rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**8\/5880 - i**7\/1470 + i**5\/210 + i**4\/84 - 2*i**3\/3 - 4*i**2. Let g(c) be the first derivative of x(c). Solve g(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/140)\/(5\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-119))\/(15\/(-70)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -29. Let s = -3 - q. Let r = -193.8 - -194.8. What is the nearest to r in s, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*x + 11 = -4*r - 3*x, -11*x = 192*r - 187*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5 + 0*i**3 - 2 + 7*i + 5*i**2 + 1. Determine b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 37669716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = 2*a - 8, -6 = -2*i + a. Suppose 113*t - 56*t - 684 = 0. Calculate the least common multiple of t and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 + 204. Suppose 5*w - c = 16. What is the remainder when 14 is divided by (6\/4)\/(6\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100110101 + -101?\nAnswer: -1100100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 10*h + 34. Let j be a(-13). Is 8 a factor of 148 - (7 - (j - -11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - 3. Let q = b + 11. Put 2\/3, q, 2 in decreasing order.\nAnswer: 2, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 1273607.\nAnswer: 105\/1273607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0213769 * -0.8.\nAnswer: -0.01710152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.05 - -0.0941.\nAnswer: 5.1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*(sqrt(448) + -1*sqrt(448))*1*-6 + -5*(1*sqrt(448) + 2 + sqrt(448)) + 5))**2.\nAnswer: 800*sqrt(7) + 44825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 + 4*f**2 - 9*f - 2. Give y(3).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21144 divided by -8\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = 2*g, -g + 2*g = -4*x + 27. Solve 0 = -3*o - 3*h - 3, 4*h = -o + x*h - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12\/(o**(1\/7)*o)*((o**(-19\/5)\/o)\/o)\/(o*o\/o**(1\/3)) assuming o is positive.\nAnswer: o**(356\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7265.381 + -7259. Let a = m + 0.019. What is a rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**(-35)\/(((x\/x**(-2\/7))\/x)\/(x*x**(-4\/3))))**17 assuming x is positive.\nAnswer: x**(-12937\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3711 - 3711.219968. Let o = y + 0.12. Let a = o + 0.1. What is a rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23747 - 3341?\nAnswer: -27088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/9 (b) 2\/59 (c) 0.15 (d) -2\/5 (e) 1\/4 (f) 3 (g) 0.548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 + w - 8*w**3 + 0*w - 4*w**2. Give k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 302*r + 154. Let z be f(-76). Let h(q) be the first derivative of -z*q**2 + 12 - q**4 + 0*q - 8\/3*q**3. Find l, given that h(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46126 divided by 1118\nAnswer: -23063\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d - c = -73*d + 14, 5*c = 10*d + 290. Let v = 5 + -11. Let f be (-2)\/v - 152\/6. Is d not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**4*m**3 - 372*h**4*m**2 - 148*h**2*m**2 - 82*m**3 wrt h.\nAnswer: -792*h*m**3 - 8928*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220202 - -2201011221111?\nAnswer: 2201011000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 2*o**2 - 15.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:08 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**2 + s - 1. Let j be w(1). Suppose -i = -3 - j. What is the remainder when 42 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848707964 and 5447.\nAnswer: 5447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 + -5 + 21 - -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from lbylluyeuu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7800 * -0.22655.\nAnswer: 1767.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 11. Let y be s(-10). Suppose 0 = -o - 2 + y. Which is the third smallest value? (a) o (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/558996 and 29\/4658300?\nAnswer: 13974900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + 2 + sqrt(704) - (4 + 2 + sqrt(704))))*-4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306460 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -45.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 2*w**2 - 10*w - 8. Let z be n(-5). Let s = z - 242. Sort s, -7, 10 in descending order.\nAnswer: 10, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-6))\/((-6)\/18). Suppose j*n - 24 = n. Suppose 320 = -m + 3*m + 2*o, -3*m + n*o + 501 = 0. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 16 + 19 + 19 - 55. Let p(j) = 2*j + 5. Calculate -6*o(m) - p(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -6) + (-2)\/(-1) + -1. Suppose -228 = j*d - 753. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -41 - 31. Let p(r) = -11*r + 5. Let h(f) = -39*f + 18. Give j*p(o) - 5*h(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:59 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*t + 254. Let q = 282 - t. Suppose 4*v + q = y + 4*y, 4*y + 2*v = 94. What is the remainder when 127 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 2, d: 2}. Give prob of picking 1 u and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 81*y**2 - 169*y + 865. Let m be l(79). Which is the fourth biggest value? (a) 22 (b) m (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 68 = 91 + 121. Let o(c) be the third derivative of y*c**2 + 0 + 1\/75*c**5 + 0*c**4 + 0*c - 2\/15*c**3. Determine l, given that o(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/92 and 97\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*u**4 + 31181*u**3 - 67380024*u**2 wrt u?\nAnswer: 4632*u + 187086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.97 and -1\/55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -73*u + 14. Let m(z) = 1. Let n(c) = -i(c) + 6*m(c). Suppose 27*w - 31*w - 5*t = 13, -20 = 4*t. List the prime factors of n(w).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*o = 20, -3*d + 30 = 2*o + 55 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**2*t**2 - 5103*p**2 - 546*p*t**4 wrt t?\nAnswer: -4*p**2*t - 2184*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235102 + -13?\nAnswer: 235045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = 2*b. Calculate the common denominator of (b\/(-20) - 3)*104\/(-39) and 10\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 18*j + 47. Let q be v(20). Solve 4*o = -r - 8, 3*o = -5*r + r + q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-17))**(3\/22)\/(c\/c**(1\/7))**(-17) assuming c is positive.\nAnswer: c**(954\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s + 27*s + 32*s)*(-2 + 2 - 2).\nAnswer: -82*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 17*y + 4*y + 48 = 0, -29*r - 9 = -30*r - 2*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {l: 4, b: 6, p: 5, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -49*b**3 - 8*b**2 + 16*b + 17. Let g(n) = 13*n**3 + 2*n**2 - 4*n - 4. Let h(r) = 4*d(r) + 15*g(r). Factor h(x).\nAnswer: -(x - 2)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 24*c**2 + 2*c - 12*c**2 - 10*c**2)*(34*c + 33*c - 65*c).\nAnswer: 4*c**3 + 4*c**2 + 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/2 - 4*z**3\/3 - z**2\/2 - 2*z - 1. Let v(x) = -x**2 - 4*x - 3. Let h be v(-4). Is n(h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6. Let m(d) = d + 8. Let a(q) = 3*g(q) - 2*m(q). Determine a(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 8) to base 6.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:45 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:25 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 2*h**3)*(-147*h - 110 - 118 + 227).\nAnswer: -294*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 13*w**4 - 35*w**4 - 24*w + 27*w as z*w + h*w**4 + r + d*w**3 + c*w**2 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -393 + 176. Let n = -132 - d. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 24. Let p(v) = 6*v + 18. Let u be p(-2). What is the lowest common multiple of 16 and m(u)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - 8*s + 110. Let h be z(8). Let q be (h*17\/(-306))\/(91\/(-2)). Let m = -4 + 6. Sort -3, m, q.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2138*b - 33. What is the units digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*z - 473*z - 32 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*w**3 - 654*w**2 wrt w.\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 11. Let d be (-54)\/16 - (-1)\/((-24)\/(-9)). Let i = -31 - -20. Let l be (-2)\/d*-12*i\/4. Let r(o) = o + 2. Calculate l*r(k) - 4*x(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (3 - -2)) + (10 - 17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 7. Let i be 2\/(-4) - (g + 2). Which is the closest to 0? (a) 1 (b) i (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-54)\/(-15) + 24\/10. Suppose 3*m = 16 - 4, -b*x + m = 31. What is the tens digit of (x\/6 - 0)\/(5\/(-330))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, -19 in decreasing order.\nAnswer: 2, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 725898 >= 725886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from ubbhubbybbbucubjuybu.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*g - 10 = 8, v + 5*g = 3. Solve 6*n - 3*n - 5*r + 3 = 0, 3*r = -n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*l + 7*l. Let j be 1\/(1*3\/12). Solve j*z = 5 + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(189\/16443)\/(5\/((-15)\/(-2)))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 297 times -5\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33480 and 713961.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301470907.62998764 - 301470902. Let z = 5.63 - x. Round z to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 31\/6*o**3 + 0*o**4 + 0*o**2 + 0*o**5 + 0*o**6 + 0 - 1\/2*o**7 - 18*o. Find the second derivative of m(f) wrt f.\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95513\/767 + 1616\/13. Calculate the common denominator of b and -101\/118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 286, 436, 586, 736?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.01 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4943 divided by -21.\nAnswer: 4943\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*p + 58, 4*p + 5 = -3. Suppose -4*j - r = -3*y + 3, -j - 16 = -4*y. Let f = y - -1. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 + q + q - q. Let f(s) = 5*s**2 - 21*s - 1. Let k(c) = 2*c**2 - 7*c. Let b(d) = -3*f(d) + 8*k(d). Calculate -b(u) + 5*z(u).\nAnswer: -u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 1, l: 7, m: 2, i: 2, a: 1}. What is prob of sequence ndim?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.4 - -12. Let f = -1.40000028 - k. What is f rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {a: 8, c: 4, z: 1}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - -0.03. Let m = -0.2 + 1. Let v = m - 0.3. Which is the second biggest value? (a) -0.4 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 34689.522.\nAnswer: 34692.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)*(-14)\/4. Let f(r) = 8*r + 1. Let i(k) = 42*k - 11. Let c(w) = 5*f(w) - i(w). Let z be c(a). Solve -10 = -3*j + 4*s, s - z = 5*j - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10 + 13 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(((-27)\/(-6))\/(-3)). Suppose -45 = -j*i - i. Suppose r - 2*o - 10 = -0*r, 2*o = -5*r + 50. Calculate the greatest common divisor of r and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w**2 - 2 + 626*w**2 + 2.\nAnswer: 804*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -439617, -879229, -1318839, -1758447, -2198053?\n\"Answer: n**2 - 439615*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*t - 179. What is the greatest common divisor of t and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1)*-3 + 2 - (sqrt(304) + sqrt(304) + sqrt(304) + -2 + -3 + 5)**2.\nAnswer: -2737 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 30*j**2 - 10 + 9 to the form n + y*j + h*j**2 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7257558 - -72?\nAnswer: -7257476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 50. Let s(p) = 120*p - 39. Calculate -l(g) + s(g).\nAnswer: 119*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p = -40*p - 42*p. Suppose p = -n - 4, l + 4 = n. Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**3 + 0*z**3 - z**3)*(3*z - 2*z + z) + 8*z**4 + 5*z**4 - 34*z**4)*(3 - 5 + 7).\nAnswer: -125*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-3))\/5 + 25712\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307749552911 plus -2050?\nAnswer: -307749554961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2541 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 43. Suppose 0 = -4*o - 4*k + 20, s + 1 = -5*o + 4*k. Let x(i) = -8*i - 1. Calculate x(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 - x**3 + 0*x**3 + (0*x**2 - 4*x**2 + 3*x**2)*(-3*x + 0*x + 2*x) + 6 - 2*x**3 - 6.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5264 greater than -7127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from nnnaganaoyanngnmyyam.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572110?\nAnswer: 2, 5, 7, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.06163 weeks in seconds?\nAnswer: 47816473.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - s + 12 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 12 = 0. Let f(w) = -2*w + 6. What is f(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 42, 113, 218, 357, 530, 737?\n\"Answer: 17*n**2 - 14*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-326225.\nAnswer: -978675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14720875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 709*x + 336*x + 149*x + 167*x + 1075*x as n + y*x and give y.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79041962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/240 - g**5\/24 - 5*g**2. Determine z so that s(z) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 31*y - 21 = 0. What is the remainder when 13 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -264? (a) -1.4 (b) 1 (c) 0.5 (d) -1 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - f. Let x(y) = -25*y**3 - 45*y**2 + 100*y - 40. Let w(r) = 10*u(r) + x(r). Solve w(g) = 0.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2742.7 - 1755. Let w = n - 677.8. Round w to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1925 + 12665. List the prime factors of c.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176166 > 176168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v**2 + 3*v**2 - 11*v - 2*v**2 + 3 + 0*v**2. Let j be x(11). Suppose j*z - 17 = 2*h, z + 3*h - 24 = -0*h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/5873 - 581367\/117460. What is the common denominator of z and 20\/11?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -185502271 and -185502271 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k - 125 = 0. Let l = k + 25. Suppose -4*p + l*p = -20. What is the highest common divisor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/126 and 61\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + t - 14, 0 = -2*v + 11*t - 7*t - 14. Let m(z) = 223*z + 7 + 3*z**2 - 227*z - 2*z**2. Is m(v) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269979432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 2. Let o(q) = -153 + 292 - 140. Give d(l) + 4*o(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:33 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23479.096 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 20700*l**2\/7 + 41394*l\/7 + 20696\/7.\nAnswer: 2*(l + 1)**2*(l + 10348)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-348 + 348 - 44*k) - k + 0*k - 2*k.\nAnswer: 85*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 55, 102, 165?\n\"Answer: 8*n**2 + 7*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55925 - -0.3\nAnswer: 55925.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 12. Suppose -24 = 4*l + 4*p + 32, -3*p - 66 = 5*l. Determine r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27983, 30560, 34855, 40868, 48599, 58048?\nAnswer: 69215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234257 to the power of 1\/2, to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -12. Let z be 2\/2 - (5 + -1). Suppose -y - 7 + 2 = 0. Sort z, y, j in descending order.\nAnswer: j, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42121 - 1d2?\nAnswer: 41d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 173, 259?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444071 is divided by 353?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 0.2, 3633, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and -61\/351095.\nAnswer: 2106570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:08 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -392071.2979 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-14) + 12\/42. Suppose -5*g - 42 = l, -3*l - 33 = -4*g - j. Let c = 27 + l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016997536 to the power of 1\/2, to the nearest integer?\nAnswer: 54927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 456 = -0*a. What are the prime factors of (-4)\/(236\/a - -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 46. Give s(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.584 - 1.56. Let k = c + -0.334. Put -5, -0.4, k in descending order.\nAnswer: k, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*q**2*r**2 - 1452*q**2 + 13*q*r - 2*r**4 - 6*r**3 wrt r.\nAnswer: 118*q**2 - 24*r**2 - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 - 6 = -o, 0 = -5*o + p + 22. Solve o*y - 12 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*y + 544 = 224 - 569 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11332 (base 6) to base 13.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2697 + -0.2697. Let z = 0.3 - 0.8. Let y = z - -0.3. Put -4\/3, y, w in decreasing order.\nAnswer: w, y, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Suppose 28*x - 81 = 3. Let m(z) be the third derivative of 1\/24*z**4 - 1\/60*z**5 + 2*z**2 + 0 + 0*z**x + 0*z. Give m(c) + v(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 34234*m + 10235971. Calculate o(-299).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 9, -4*f - 5*w = 3. Let k = f + 10. List the prime factors of k - (2 - 2\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 2*l - 89 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258868679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*x = -10, 6 = p - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + 115. What are the prime factors of f?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n - 83. Let m be i(8). Suppose 403 = m*f + 408. Which is smaller: f or 3\/64?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -411\/7 + 2903\/56. Suppose -l + 5*l = -5*r - 532, -l = 3*r + 315. Find the common denominator of 377\/r - (2 - -1) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -589*a - 29.\nAnswer: -589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 o, and 1 b when four letters picked without replacement from {d: 2, b: 1, o: 1, e: 6, w: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-b - b + 3*b) - 3*b - 153 + 524 + 320 + 4*b.\nAnswer: 3*b + 691","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 27*c + 21*c + 78 - 470 = 0 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/(d\/(d*d\/(d*d\/d**(-10\/9)))*d)*(d**(2\/9))**(-27\/4) assuming d is positive.\nAnswer: d**(-245\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 18*m - 3 = -2*g, 5*g + 2*m - 10 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j - 4*u - 3, -2*u = 2*j - 62. Suppose 3*g + 2*h - 11 = 0, 5*h - 7 = 2*g - j. Solve g*m - 4*a = 6*m - 9, 5*a - 7 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 1. Let b = w + 28. Let c be (-5 + -1)\/(b\/(-8)). Solve 0 = c*l + 3*x - 4, -8 = -4*l + x - 3*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3300233 (base 5) to base 12\nAnswer: -28712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*s - 2 = 0, -3 = 3*p + 5*s + 3. Let f(q) = 2*q - 1. Let b be f(3). Sort b, 4, p in decreasing order.\nAnswer: b, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.6171 rounded to zero decimal places?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8*k + 249 = 9*k, 0 = i - k + 66. Let f = i - -56. Let c(l) = 2*l + 5*l - 2 + 2*l**2 - l**3 - 5*l**2. Determine c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Let q = -347.4 - -347. Let d = -0.17 + 0.37. What is the closest to h in q, -4\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 93*v - 100. Let t be b(-29). Suppose 9*h = 299 - t. Let f(l) = l + 13. Calculate the remainder when h is divided by f(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 0.3. Let l = -2 - k. Suppose 2*f + m = -2*f - 5, 4*f + 14 = 2*m. Which is the biggest value? (a) 2 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 10*k**2 - 27*k + 6. Let q be n(-19). Suppose q = 17*c - 11*c. List the prime factors of c.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 7\/3 (c) 9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 4664534?\nAnswer: 51309874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32425 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -43*l**2 - 4*l + 3. Let y(d) = -3*d**2 + d - 1. Calculate -j(n) - 2*y(n).\nAnswer: 49*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a = 41*a - 48. Let i be 1 - 4*6\/a. Find b, given that 2*b - 4\/3 - 2\/3*b**i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 13307\nAnswer: -9\/13307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 4, y: 3, b: 2}. Give prob of picking 1 b and 3 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2546 divided by 2\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*t**2)*(3*t + 2*t - 6*t + (0*t + t - 2*t)*(0 - 10 + 0) - 4*t + t + 2*t).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 404.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 + (2 - -199)). Suppose 144 = 4*d + 4*k - 56, -4*d - 5*k = -o. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1838, -13356, -44230, -104138, -202758?\n\"Answer: -1613*k**3 - 227*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1260 and 69\/2553040.\nAnswer: 22977360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let r = -17 - 13. Let o be -3 - (r\/11 - 0). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 622, 1234, 1836, 2428, 3010?\n\"Answer: -5*m**2 + 627*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 4. Let d be k(8). Let v = 57 - d. Suppose -5*n + 0*n + 325 = 0. Calculate the highest common divisor of n and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -559 + 32*b**2 - 24*b**3 - 12*b**2 + 13*b + 23*b**3 + 15*b - 1009.\nAnswer: -(b - 14)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -42348?\nAnswer: -42324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7*(-33)\/(-42))\/(1\/194)?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*s + 29*x - 24*x + 32, 3*s - 3 = -x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -151.3, -5, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/603 and -65\/1097058?\nAnswer: 3291174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2529 * 0.12.\nAnswer: 303.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 2*p + (18*p + 7*p - 14*p + (-3*p - 2*p + 12*p)*(2 + 5 - 5))*(-1 - 7 + 4).\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 - -101190.\nAnswer: 100927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -23.1. Let z = 1427\/8 - 178. Which is the second smallest value? (a) g (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*p**3*u - o**2*u - 2*o**2 + 4*o*p*u**3 - 136*p**3*u**3 + 722*p**3 + p**2*u**3 - 25133*p**2*u**2 wrt p?\nAnswer: 6*o**2*u - 816*u**3 + 4332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70741\/4 + -17685. Which is the fifth biggest value? (a) 0.2 (b) 16 (c) -0.3 (d) t (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 323 = 27. Let m be w\/(-14) + (-2)\/7. Suppose 0*u = -m*u + 650000. Round u to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 + (52\/(-16) - -3). Which is bigger: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 7, m: 1, f: 5, d: 2, v: 1}. What is prob of sequence qq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1977*d. Let a(o) = -19*o**2. Give s(a(n)).\nAnswer: 37563*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11664 and 171072.\nAnswer: 513216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 11)\/(1*2\/(-2)). Let u be (-1)\/(-3) - 70\/(-6). Suppose -4*k + u = -h*k. Which is smaller: 2\/9 or k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3910720291 to the nearest integer?\nAnswer: 62536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.35 - 0.65. Let m = 3418 + -3417.9. Which is the third smallest value? (a) -1\/3 (b) o (c) m (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 2. Suppose 0 = -2*j + 5*p + 1, 2*j = -2*j - 2*p - 34. What is the tens digit of a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 11 + 37. Suppose 0 = -4*l + 5*g + 694, l + n*g - 108 - 76 = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -26.769.\nAnswer: -27.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -16. Suppose 20*b - d*b + 10 = 0. Suppose -b*u = -4 + 2, 4*s = -4*u. Let w(q) = 4*q**3 - 2*q**2 + 1. Give w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 5705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2315, -2338, -2361, -2372, -2359, -2310?\n\"Answer: 2*i**3 - 12*i**2 - i - 2304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 23\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 + 0 + 6*o**2 + (-2*o - 3 + 3)*(-o + 5*o - o) + 0*o**2 - 5*o**2 + 3*o**2.\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 7. Let m be u(-13). Let g = -23 + m. Put 3, g, -1 in decreasing order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41352630?\nAnswer: 2, 3, 5, 11, 125311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0818 - 185.1818. Round t to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k = -76*k + 120. Solve -k*v + 0*v = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (924\/(-126))\/((20 - 23)\/(15\/(-20)))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*w**3 - 4050*w + 244352999.\nAnswer: 585*w**2 - 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -53. Sort 3, b, -32, -4 in descending order.\nAnswer: b, 3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90844.35 milligrams?\nAnswer: 90844350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 36154356?\nAnswer: 36154345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -15 + 6. Suppose l*f = -5*s - 2*f + 280, -5*s + 2*f + 301 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 6 = 2*s + w, -5*w + 4 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765855827.\nAnswer: 11, 6329387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 5 - (-13 + -2) - 17) + -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (11 - (-11 - (7 - 21)))) + 37\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -111, -206, -341, -516, -731?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -80, -4, -16 in increasing order.\nAnswer: -80, -16, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 822349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*1*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14. Let m = x - -10. Suppose t = -t + m. Solve t*q + 19 = 44 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, -189, -25?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/24 - f**3\/6 + 2*f**2. Let j be d(1). Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 4027400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16. Suppose -14*s + 4*s + 540 = o. Suppose 4*d + s = 5*p, 0 = 2*p + 2*d + d - 40. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 11*u**3\/2 + 2162*u**2 - 509567*u\/2 - 23180 = 0?\nAnswer: -488, -1\/11, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5039931 to the nearest integer?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(7\/((-63)\/81))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 4*y - 1 = 31*d, 89 = -4*d + y + 115 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -128. Let z(k) = -8 - l*k + k**2 + 6 + 44*k. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5*(-31)\/(1860\/5472) and 456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1042 = 4*q, -4*q + 2*c - 782 = -7*q. Calculate the remainder when q is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/7))**(-6\/11)*k**(1\/4)\/k**10)**(-13) assuming k is positive.\nAnswer: k**(41847\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116379 a multiple of 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 3519*i**3 - 4*i**2 - 3576*i**3 + 0*i**2.\nAnswer: -57*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 19*s - 88. Let z be t(10). Let p be (-1)\/2*(z\/7)\/1. What is the closest to -1.3 in -0.3, 2\/9, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -716411*g**2 - g. Let y(j) = -j**2. Calculate s(y(z)).\nAnswer: -716411*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2119437640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 53*f**2 - 43*f + 14.\nAnswer: (f - 14)*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**4\/2 + 10875*t**3\/2 + 1808*t**2 - 4834*t - 2416 = 0. Calculate t.\nAnswer: -1208, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2686\/898 - -3. Is -1 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-6 - 2727\/(-243)) + -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6899.99 and 5239520.\nAnswer: 5232620.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626, 6636, 14976, 26640, 41622, 59916?\nAnswer: 81516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-7) - (-10)\/(-35). Let s be (6 - 6)*n\/4. Solve s = 4*z + 2*h - 28, -4*z + 3*h = -6*z + 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/28*7\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.2 - 2.8. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - -0.9. Let n = -1.40072 + b. What is n rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 28 + 38 + 7*h.\nAnswer: 7*h + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1209*p*u**5 - 334*p*u**3 - 7*p*u - 170507*p + 5*u wrt u.\nAnswer: 24180*p*u**3 - 2004*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/2 + (-4 - -4). Let i(r) = -r**3 - 9*r**2 + 3. Let s be i(u). Solve s*w - 5*g - 3 = 0, -2*w + g - 14 = 3*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus -954645329541.1?\nAnswer: -954645329539.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/51741 - -130303\/396681. Let b = y - -1\/207. Which is smaller: b or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3614664*c**3 + 153*c - 4043 wrt c?\nAnswer: -21687984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2881, -5906, -8931, -11956, -14981?\n\"Answer: -3025*a + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -854 + 1432. 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: Let q be -4 + (-4)\/(-4) + -2. Which is the second biggest value? (a) -3\/7 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(18\/(-432))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0444279162 rounded to four decimal places?\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(114)*-1*4 - -2*sqrt(114)*-2)\/((-1*sqrt(48)*2)\/(sqrt(8) - sqrt(128)\/sqrt(4))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 + -0.4. Let r = -1667 + 1668. What is the nearest to r in -8\/5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 7*s**2 - 9*s - 7. Let b be t(-6). Let w be b + (-1)\/2*2. Let o(y) = -y**2 + 11*y - 7. What is the units digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2162 = 2*d + 2*z, -4299 = -4*d + 4*z - 3*z. Suppose 0*c + d = 4*c. Let k = 450 - c. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(((((b\/b**0)\/b)\/b*b)\/b)\/b))\/b**(-4))\/(b**(2\/15)\/b*b*b**2))**(-2\/99))**(5\/8) assuming b is positive.\nAnswer: b**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/12 - (-1)\/4. Suppose -f*p = 5 - 15. Let k = p + -4. Which is the biggest value? (a) 2\/7 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2*119\nAnswer: 499.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.062 - -0.938. Is -2 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, -1, -3 in decreasing order.\nAnswer: 311, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 4*m**2 - 77*m**3 + 79*m**3 + 46 - 3*m**2 as q + h*m + s*m**2 + t*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/875521 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 227237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6. Let b = z + 3. Solve 2*u + b*u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21713, -21669, -21593, -21479, -21321?\nAnswer: -21113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 * 50\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (9 - (3 - 8))) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-3))\/(-2) + (6 - 2). Let t be 60\/(-64)*(-3)\/5. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/768 and 83\/12?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/(b\/b**2*b))**(-4))**(-48) assuming b is positive.\nAnswer: b**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/55)*i*i\/(i*i\/(i**4*i*i))*i\/i**20*i*i**4 assuming i is positive.\nAnswer: i**(-442\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021904?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 12. Let z(a) = 4*a - 12. Let u(s) = 5*l(s) - 4*z(s). Let d(f) = -f + 1. Let q(k) = 12*d(k) + u(k). Calculate q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1495764 and 44.\nAnswer: 16453404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/18 + (-4)\/(-6). Suppose j = 5*a - 0*a - 30. Let w(d) = a - 2*d + d**2 - 4*d - 2*d. Give w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1453971*t**2*w**3 + 4128701*t**2*w**2 + 2*t*w**3 - 2*w**3 wrt w.\nAnswer: -8723826*t**2 + 12*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 188*j - 7. Let b(k) = -187*k + 6. Give -4*b(r) - 3*v(r).\nAnswer: 184*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15410)\/(-20) - -15)*2.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4694202 is divided by 477.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175.71 - 4.29. Let r = -180.3 - k. Sort 1, -17, r in decreasing order.\nAnswer: 1, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70643550 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 117*a**2 - 254*a + 18196. Give z(58).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7368475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 409*n*p**3 + n - p**3 - 124*p**2 wrt p?\nAnswer: 2454*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 4*m - 134*m**4 + 11 - 2*m + 5 + 4*m to the form l*m**2 + c + a*m**4 + o*m**3 + x*m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2145 equal to -3040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22*q**3 + 1963*q**2 - 440*q - 382. Give b(89).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -57.3, 0.3, -3 in descending order.\nAnswer: 0.3, -3, -57.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3 + 2*k**2*n*u + 5141*k*n*u - 2*n*u + 3988*u wrt k?\nAnswer: 3*k**2 + 4*k*n*u + 5141*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8197 = 5*z, -3*z + 7*z = d - 2723. What are the prime factors of d?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -34011*i - 14658770. What is a(-431)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-6))\/((-2)\/6). Let g(q) = -3*q - 2. Let f(r) = -3*r - 2. Let v = -413 + 411. Let l be (4\/(-6))\/(v\/(-18)). Determine a*g(z) + l*f(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(32)*-6)**2 + 2.\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 1 - 9. Suppose 12 = l - 4*c, -2*l = -7*l - z*c - 15. Let j = 23 + l. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((4 - (-5 + 16)) + 1 + 2) - -55?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x + 3. Let n be b(-2). Suppose -n*q = 30 - 102. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*x**3 + 158*x**3 - 4761 - 72*x**3 - 124*x**2 - 1189*x + 6088*x - 15*x**2 = 0. Calculate x.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -242, -952, -2126, -3764, -5866, -8432, -11462?\n\"Answer: -232*r**2 - 14*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/91 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 772220*j**2 - 12*j + 8. Let l be k(-6). Suppose 2*s - s + 13900000 = 5*a, 4*a = 2*s + l. What is s rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h - 276. Let i = h + -64. What is the closest to -1 in 3, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36670.84 to the nearest ten.\nAnswer: -36670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 579 and -58811529.\nAnswer: -58810950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 1, h: 1, w: 2}. What is prob of sequence td?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + a + 2. Let f be n(-4). Let d = 70 - f. Is 9 a factor of d*(1 + 2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-2)*(0 - 8). Suppose n = 5*q - 23, 4 = 3*n - 2. Suppose -p + q*i - 30 = -3*p, -3*i = 5*p - b. Solve v = 6*v + p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 50 + 2*a - 2*a**2 in the form o + q*a**2 + u*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 964*l**2 - 1 + 458*l**2 - 1 + 474*l**2.\nAnswer: -32*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {e: 1, p: 2, t: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634956 take away -17645680?\nAnswer: 18280636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -29*q**4 + 3*q**3 + 56*q**2 - 3*q - 3. Let z(m) = -m**4 + m**3 + m**2 - m - 1. Let l(g) = -n(g) + 3*z(g). What is the third derivative of l(p) wrt p?\nAnswer: 624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 467055 and 545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(-592)\/11100 + (-82)\/(-390)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 568170838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -52, 0, 105, 2, 1, 74 in decreasing order.\nAnswer: 105, 74, 2, 1, 0, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y**(-2))\/((y**(4\/7)*y)\/y*y\/(y\/(y\/(y\/y**(-2\/7)*y)*y))))\/((y*y**0*y)**(-12\/7)\/(y**(-2\/7))**(-6\/7)) assuming y is positive.\nAnswer: y**(509\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:12 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289496 and 261.\nAnswer: 75558456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 0.0247\nAnswer: -0.05681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 446 - 446.1. Which is the nearest to f? (a) 0.1 (b) 0.4 (c) 264 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43524413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 1804 = -51*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 3*a = 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.1 (b) -1 (c) 0.3 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28152 and 253785588?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(-9 + 0). Suppose 2*q + 11 = y*q. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 9:33 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*y = 6, 5*l + 4*y = 2*y + 26. Suppose l*u = 3*u + 54. Suppose u = -36*w + 39*w. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*t = 3*i - 2, 4*i - 20 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 1?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7103 = -6*t + 5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 49 = 5*u, 533 = 3*x + 3*u + 509 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 9*j + 161 - 294 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*j + j. Let n = -7 + 18. Suppose 0 = -2*c - 1 + n. Solve 8*p - c*t = 3*p + 5, 23 = 3*p + j*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4092878*0.08.\nAnswer: 327430.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*l + 3*a = 34, -4*l = -2*a - a + 56 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-9)*3*36\/24)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 0 - 1 - 2*q - 8. Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16642332 divided by -4160583\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3 + 109*f**2 + 59.\nAnswer: -3*f**2 + 218*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2 + (-5)\/((-715)\/308). Which is the second biggest value? (a) -4 (b) v (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - o + 0*o)*(-2*o + 3*o - 3*o)*(0 + 0 + 3) + (8*o - 23*o - 6*o)*(-o + 3 - 3).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52140 divided by -12\nAnswer: -4345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/23, -3\/28, 88 in descending order.\nAnswer: 88, -3\/28, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqox. What is prob of sequence pqoq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - h = -0*h + 12, -4*p - 2*h + 24 = 0. What is the second derivative of -2*w + w**p + 12*w - 15*w**4 wrt w?\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**6 + 1083*b**4*g**2*p**2 - 2*b**2*g*p - 2*b**2*p**2 + 72*b**2 - 3*b*g**2*p - p**2 wrt b.\nAnswer: 600*b**3 + 25992*b*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -22, -64, -142, -268, -454?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 657169, -0.2, -5, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000402686 to 6 dps.\nAnswer: 0.000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13048100 and 32500.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 6*b + 7. Let w = 11 - 8. Let n be r(w). Solve 0 = 2*s - n*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185670123?\nAnswer: 3, 61890041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 8, -11, -38, -73, -116, -167?\n\"Answer: -4*r**2 + r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 1.4. Let s = -9.9 - -1.9. Let h = 7.6 + s. Which is the third smallest value? (a) d (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) + 2*(sqrt(126) + 1*sqrt(126) + sqrt(126)) + sqrt(126) - sqrt(126))\/sqrt(2)*-4.\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.1. Let f = -28 + 5. Let i = -31 - f. Which is the second biggest value? (a) -0.3 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12796161947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 32. Suppose x*h + 2*h = 80. What is the least common multiple of 24\/(-2)*(-1)\/2 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 5*l**2 - 4*l. Let j(b) be the second derivative of -b - 11\/20*b**5 + 3\/4*b**4 + 7\/6*b**3 + 0*b**2 - 35. Determine 4*j(f) + 7*v(f).\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 7187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9482735.\nAnswer: 5, 1896547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 3*y - 59, 135*y + 138*y - 269*y - 132 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43416, 347390, 1172454, 2779152, 5428028, 9379626?\nAnswer: 14894490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 13. Let h be k(-11). Suppose -7*m = -2*m, 4*m = -h*y + 4. What is the smallest common multiple of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1370 (base 10) to base 8.\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*i + 46 = -6*i, 184 = 4*j + 3*i. Calculate the remainder when 135 is divided by j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4 - 0)*4\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-12))\/(31\/(-15) - -2). Solve -y*o + 3*r = -13, -o - 2*o + 7 = -r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose 5*i + a - 4*a - 63 = 0, -83 = -5*i - h*a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*p + 12, -2 + 0 = -p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 111.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + f**5\/3 - 4*f**4 + 2*f**2 - 2*f - 796. Suppose g(u) = 0. Calculate u.\nAnswer: 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let f(v) = v**3 - 7*v**2 - 6*v - 11. Let l be f(8). Let w = -4 + l. Let m be j(w). Solve 3*g - s + 4 = 2*g, -m = -s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66742 is divided by 33366?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6, 4*g = -0*g - 4*p + 4. Let d(h) = 159*h**3 + h**2 - 2. Let t be d(g). What is t rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356282 is divided by 161?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - c**2 + 1. Let p be y(1). Let u(f) = -f + 2 - 3 + p*f + 12. Let z be u(-7). Solve h = -6*t + 4*t + 11, 2*t - z*h = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1944 and -55\/2632116.\nAnswer: 426402792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112625787*v**2 + 69156827*v + 2?\nAnswer: 225251574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = -69*l + 2*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32602462 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 112 - 37. What is the third derivative of -i**3 + 387*i**2 + 248*i**2 + 80*i**5 + i**q - 465*i**2 wrt i?\nAnswer: 4800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39936 divided by 32.\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z**2)*(0 - 4 + 2) + 1 + z**2 + 0 - 26*z**2.\nAnswer: -21*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 13*v - 14*v + 2.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39209 - 25473. Calculate the common denominator of 17\/35 and (f\/2300 + -6)*10.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -5\/1877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -423736018471\/10211546914 - -21\/7201373. Let t = -3\/709 + u. Calculate the common denominator of 2\/28*92\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 3382.\nAnswer: 16910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455625 is divided by 454962?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 76361, 1 in decreasing order.\nAnswer: 76361, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 1612\/(-14)) + (-1)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/21)\/4)\/(54\/(-63))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*u + 47*u + 20371 = 2771 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22\/47 (b) -1 (c) -113 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-0.96\nAnswer: -0.1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5781, -23073, -51887, -92223?\nAnswer: -144081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Suppose l*v + 0*v = 4. Solve -3*a = 5*d - v*d + 9, 5*d - 2*a + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u - 13. What is the derivative of -14*o**2 + 2 + 11*o**u - 6*o**2 wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 287534?\nAnswer: 5463146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1800 and 13\/14500?\nAnswer: 261000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t + 7. Let w(n) = 7*n + 4. Let q be (-1)\/(0 + 4\/16). Let k(s) = q*z(s) + 7*w(s). Let h(g) = g**2. Determine k(h(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.09, -2\/73, -8 in decreasing order.\nAnswer: 0.09, -2\/73, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4598 and 81070.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -2. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 40*v**2 + 16*v + 18. Let f(g) = 27*g**2 + 11*g + 12. Let a(b) = 8*f(b) - 5*t(b). Is 14 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*y**4 - 106*y**3 + 106*y**3)*(5*y - 6*y - y) + 0*y**5 + y**5 + 0*y**5 - 12*y**5 - y**5 - 3*y**5.\nAnswer: -93*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -107, -119, -135?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3563 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036321857 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**4*p*p**(-6)*p*(p\/(((p*p**(-4\/9))\/p*p*p)\/p))**(4\/11) assuming p is positive.\nAnswer: p**(115\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 31 + 86 = 0. Let p be s\/(-15) + 3\/1. Which is the third smallest value? (a) p (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 + 16 - 4 - 1 - 6 - 4 as i + s*a**2 + k*a and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, -2085, -2, 4, -9 in descending order.\nAnswer: 178, 4, -2, -9, -2085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6) - -1)*2. What is the remainder when 38 is divided by 10 - (-3 + 0\/i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19548717*0.2\nAnswer: -0.039097434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {m: 1, p: 11, s: 1}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -25506\nAnswer: 484614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 60, 115?\n\"Answer: 55*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7729.322 nanometers to centimeters.\nAnswer: 0.0007729322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 4)*(-53*d + 94*d - 52*d) + d - 1 + 1)*(5*d**2 - 5*d**2 - 5*d**2 + 1).\nAnswer: 50*d**3 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4 + (-4806 - -4800)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21637 is divided by 1352.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a**(-23)*a)\/a))*a**(-3))\/(a\/(a**(-15\/4)\/a))**(-10\/7) assuming a is positive.\nAnswer: a**(-249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 6. Let c be u(-6). Let t be (-9)\/(-6) - c\/(-4). Solve -5*r + l - 4*l - 12 = 0, -t*l = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.5829 millennia?\nAnswer: 18994.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/((-18)\/(-351)). Let f = j - 9. Suppose 5*b - 5*h = 450, 2*b - 185 = -h + f*h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x. Let f(j) = j**3 - 6*j**2 - 6*j - 10. Let d be f(7). Let h(y) = 7*y. Calculate d*h(g) - 5*w(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3550, 0.3, -34.35?\nAnswer: -3550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let b(p) = p - 16. Let f(x) = -x + 17. Let s(w) = 5*b(w) + 6*f(w). Let r be s(15). Is y less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - (-3 + -20 + 22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-6840)\/80))\/(5\/(-495)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 27, 36, 35, 18, -21?\n\"Answer: -b**3 + 4*b**2 + 8*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/160*4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 673.335.\nAnswer: -2693.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 4. Let q(n) = -n**3 - 2*n**2 + 5*n + 1. Let s be q(j). What is the greatest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 124. Let v(m) = -m**2 + m - 1. Let p(o) = -7*o**3 + 6*o**2 - 26*o + 6. Let r(t) = c*p(t) + 6*v(t). What is the second derivative of r(g) wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8323\/9 bigger than -925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 0, 5*h + 5*t = 70 + 25. Calculate the remainder when h is divided by -1*(-1 - -2) + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 4, c: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19*c + 2 - 2 - 18*c. Let u(w) = 7*w. Let r(p) = p. Let t(j) = -15*r(j) + 3*u(j). Let x(s) = -34*n(s) + 6*t(s). Let q(m) = 6*m. Determine x(q(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 1514*j**2 + 3*j + 7*j + 5*j + 2*j**3 - 17*j.\nAnswer: 2*j**3 - 1514*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 15 = 0. Suppose x*o = -5*g + 72, -5*g - 4*o = -3*g - 26. Solve 0 = -2*f - f + r - 1, 3*r = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 954?\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86597 is divided by 9619.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -68. Let y = 0.092 + -5.092. Let a = -8 + 8.3. What is the nearest to r in -2, y, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22568526 and 72032?\nAnswer: 4502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 162 - 160 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 5528888.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 54 = 4*x. What is the nearest to -0.1 in -4\/11, -1, x?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 1, 12, 3, -32, -99, -204, -353?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1748, 4\/7, -1\/2, -4, -2\/21, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -24*k**2 - 10*k + 5. Let g(h) = 24*h**2 + 11*h - 6. Let s(l) = 5*g(l) + 6*t(l). Find the second derivative of s(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72.57875 + 0.09692.\nAnswer: 72.67567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(60)\/(sqrt(24)\/sqrt(2))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + q**3 + 0*q**3 + 2 - 4*q**4 - q**3 + q**2 to p*q**2 + n*q + i*q**4 + o + v*q**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 3. What is the greatest common divisor of c and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(5\/(-25))\/((-3)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s = 192 - 192. Put s, -8, -4, -1, -5 in descending order.\nAnswer: s, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 0.7, 1, 0.2, 0, -750, 5 in decreasing order.\nAnswer: 5, 1, 0.7, 0.2, 0, -68, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -44, 5, 0.14, 1\/7, 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-1)*b)\/b*b)**(-9\/8)\/(b*b**(-2)*b*b**(2\/19)\/b))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189673368*v**5 - 1104686*v + 48.\nAnswer: 3793467360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3360 = 43*l - 35*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1180 and 1186 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -4. Let p = 3.9879 + 0.0121. What is the closest to -2\/9 in m, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 20 = -4*d, -2*d - l + 3*l + 10 = 0. Let v be 4\/(-20) - (-71)\/d. Solve 2 = 3*q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16412.9 + -0.1?\nAnswer: -16413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*n**2 - 11*n**3 + n**4 - 11*n + 3 - 40*n**2 - 1 + 10*n**3 to the form y*n**2 + i*n**4 + x*n**3 + a + l*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1925728 divided by -60179\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51189203 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 40 + 16 = 8*k. Solve 4*w + o - 8 = 0, 0*o - k*o = w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + y - 5, 2*f - 2*y - 9 - 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -177 divided by 15\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -2aa?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pwpsjjpp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 593831 or 593793?\nAnswer: 593793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 6*o**2 + 5*o + 5. Let p(y) = 2*y**3 + 7*y**2 + 6*y + 6. Suppose 111*r + 85 = 128*r. Give r*p(q) - 6*d(q).\nAnswer: -2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20024 (base 6) to base 12\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/42 + i**6\/3 + 5*i**5\/4 - 5*i**4\/6 - 50*i**3\/3 - 284*i**2. Factor n(c).\nAnswer: 5*(c - 1)*(c + 2)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10020000100 (base 3) to base 8\nAnswer: 173710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 83\/5, 0.5.\nAnswer: 0.5, 3, 10, 83\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 13*g - 9. Determine p(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 2059 = 101*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 70. Give f(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13201.0007437 + 13201. Round r to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k**4 - 1380*k**3 - 13453*k**2 - 4370*k - 361 = 0.\nAnswer: -19, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 1, 103, -40 in descending order.\nAnswer: 103, 6, 1, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -5 + sqrt(1872) + sqrt(1872)*-4 + sqrt(1872))**2 + (-5*(sqrt(1872) + 2))**2)*4.\nAnswer: 5280*sqrt(13) + 195188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 5*j - j as t + n*j and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**3 - 151*q**2 + 2*q - 58. Calculate h(15).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -5, -1, -3, -45423 in ascending order.\nAnswer: -45423, -30, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 32*v**2 - 19*v - 614. Give d(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 469, 4, 3 in increasing order.\nAnswer: 3, 4, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 3, 0, -2, 2\/85 in increasing order.\nAnswer: -2, 0, 2\/85, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1394\/38 - (-45)\/2250*-1850\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhhotthhsttotthosth. What is prob of picking 3 h and 1 t?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720 = 13*p + 407. Let i = 235 - p. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/484 - 117605\/3388. Let f = d - -35. Which is the nearest to -6\/7? (a) 0.4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*15 - (7 + 2 - 6). Calculate the common denominator of (-318)\/21*(y\/12 + -4) and -2\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*r + 3 - 4, -4*g + 20 = 4*r. Solve -l + y + 2 = 0, -1 = -2*l + y + r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*c + 7 + 10*c - 7 in the form y + u*c and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 - 340.56. Let u = 7 - c. Let s = u - 0.06. What is the nearest to 3\/4 in 0.4, s, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 57.00000026. What is m rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(1\/23)\/(u*u**(-2)*u)**(-2\/71) assuming u is positive.\nAnswer: u**(-2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 3. Suppose 4 = 2*k + 2*v - 4, 3*k = -5*v + 10. Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n. Let l(y) be the third derivative of 0*y + 1\/60*y**5 + 0 - 1\/12*y**4 + 13*y**2 + 0*y**3. Calculate -3*k(z) + 2*l(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 22*x - 3 + 51*x - 20*x. Suppose 3*u = f + 26, -2*f - 12 = -u - f. What is i(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**3 - 13*d**2 - 22*d + 9. Let r(b) = 24*b**3 + 27*b**2 + 46*b - 19. Let l(c) = -13*n(c) - 6*r(c). Determine l(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 16.2 (c) 8\/13 (d) -0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 2. Suppose t*j - z - 6 = -j, 2 = j + 3*z. Is ((-3)\/j)\/(1\/(-26)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqha when four letters picked without replacement from {g: 3, h: 1, q: 2, x: 4, a: 7}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**2. Let u(y) = -9*y. Give u(h(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5\/a*((a**12\/a*a)\/a)\/a)**(-48))**(2\/31) assuming a is positive.\nAnswer: a**(-1440\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = -2*s, -2*s - l = -0*l - 1. Suppose -s*m - 137 - 7 = 0. Is (-8576)\/m + (-1)\/9 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 484152355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.028, -1\/6, -0.3, -0.14, -117?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - i = 9, 0 = -2*m + i + 2*i + 20. Let h(w) = -w**2 + 8*w - 4. Let p be h(m). Let b = 7 - -2. Solve b = -p*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40025*b**2 - 2*b + 0*b**3 - 39599*b**2 + 2*b**4 + b**3 + 0*b in the form i + v*b**4 + q*b**2 + y*b**3 + w*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7*d = d. Which is the nearest to -2? (a) -29 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -11. Let f(d) = -113*d**2 + 3 + 102*d**2 + d**3 + 6. Does 8 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 4*j + 2. What is y(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.96 - 1. Let a = -144 + 88. Let b = a + 60. Put b, d, -1\/5 in ascending order.\nAnswer: -1\/5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -58*w + 1. Let o be t(-2). Let i be (19 + 9)\/(-112)*5\/(5\/(-472)). Are o and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11433084 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let r be z(-2). Suppose 0 = -3*d + 2*h - 10, h = 2*d + r - 2. Let k be (-38)\/(-12) + d\/12. Solve -m + k*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -116*d**3 - 468*d**2 - 21*d - 24. Calculate h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-68 + -57)) + (-11 - 21)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*3\/72*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Let a(p) = -77*p - 66. Let h = -440 - -374. What is h*m(w) + a(w)?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -211 + 158. Let c(i) = -5*i**2 + i + 1. Let o be c(-2). Let v = o - s. Solve -24 = -l + 4*j, 4*l - 5*j - 9 = v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 882, 0.1, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 11.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, -6 = -n + 4*y + 185. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.5. Let q = s + 3.9. Let v = 27325 - 27323. Sort -3, -1\/3, v, q.\nAnswer: -3, -1\/3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**2 + 0*t - 9\/2*t**4 + 16 - 10\/3*t**3. What is the third derivative of h(v) wrt v?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -3*m**8\/112 - m**7\/35 + 9*m**6\/40 - m**4\/2 - 2669*m**2. What is k in f(k) = 0?\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 247640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 3. Let q be w(6). Suppose q*a - 34*a = -4. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564838 is divided by 112878.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 5\/15. Suppose 0*f - 2*f = -2*t + 2, 7 = 5*f - 2*t. Suppose f*a + m = 5, -m = -3*a - 3 - 2. Solve k = -a*r + 3*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7948207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -34*f - 160. Let c = 24 + f. Suppose -3*w = 3*j - 51, -4*w + 2*j = 3*j - 62. What is the remainder when c is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 17 + 0 + (-9)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28057574.\nAnswer: 2, 997, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14645, -32893, -51141, -69389?\nAnswer: -87637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*j - 888, 0 = 4*j - j + 12. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 1:03 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(468)*2 + sqrt(468))**2.\nAnswer: 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**2\/2 - 3. Let z be -2 - -4*(-6)\/(-4). Let h(c) = 3*c + z*c - 4*c. Determine h(m(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 15*b - 27. Let z be (4\/(-6))\/(b\/(-216)). Let j be ((10\/(-35))\/(-1))\/(z\/6). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 4*s**3 + 0*s - 2*s)*(-114*s - 2991 + 2991).\nAnswer: -228*s**4 + 228*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 351\/216 + 6\/16. Let j(o) = -o**2 + 12*o. Let c be j(12). Let v be (-3 + c)\/3 + 1. Solve 0 = -w - 4*u, v*w - 5*u - 3 = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115*(-100)\/17250*(-114)\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 21.91. Let x = 1.19 - g. Is x less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 + 3*v + 3. Let n(s) = 13*s**2 - 5*s - 5. Let a = 6 - 12. Let h(z) = a*n(z) - 10*g(z). Let i(o) = -5*o + 13*o - 5*o. What is i(h(q))?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 6*g + 6. Let y be h(-4). Let z = y - -4. Which is the second smallest value? (a) 5 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -y + 11, -2*y - 5 = -5*f + 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -87, -300, -713, -1392, -2403, -3812, -5685?\nAnswer: -8088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 22 = -5*h, 0 = -15*v + 806*h + 802*h - 1618*h - 80 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074129 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182801 divided by -7.\nAnswer: -182801\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*c - 2340 - 2609 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n - 6*n - 8*n + ((-4 - 1 + 3)*(0*n + 3*n + 0*n) - 4*n + 5*n - 2*n)*(-2 + 2 + 1).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3660*b - 13. Suppose -3*a - x = -14, 7*x - 9*x - 5 = -5*a. Is m(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 760*p**3.\nAnswer: -760*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 330054?\nAnswer: -330104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1817952 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(4834 - 2421 - 2417 + 4*f**2 + 65*f).\nAnswer: 8*f**2 + 130*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and 79\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let b = r + -2.05. Let u = -4.95 + b. Which is smaller: u or 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n + 0*n)*(-4 + 5 + 1) + ((0 + 4 - 2)*(4 - 2 - 1) + 8 + 2 + 0 + 24 + 0 + 1)*(-n + n + 10*n) as z*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(-q + 6*q - 3*q) + (-3 - 1 + 5)*(2*q + 2*q - 3*q) to f + k*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1099667 and -0.01?\nAnswer: -0.001099667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {f: 1, v: 1, y: 2, c: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 4*a - 558, 0 = -a - 2. Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 3\/16697, -0.3?\nAnswer: 3\/16697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2\/2 + 516*p + 2865. Let l(r) = -r**2. Give l(g(c)).\nAnswer: -c**2 + 1032*c - 266256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 67. Let y = k + 43. Let a = 86 - y. What is the third smallest value in -3, -0.03, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -130330012211?\nAnswer: -130330012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 42*v**2 + 294*v - 19. Determine k(-48).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143304 and 1168860?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r - 72. Let p(c) = -5*c + 24. Let f(n) = 8*p(n) + 3*v(n). Let g be f(13). What are the prime factors of (g - 0)*190\/20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from wdtdwtddwddtdt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645355 and 9057?\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 31 - (10 + -26 - -12) - (-3 + 0).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:09 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737081 is divided by 1737071.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62416 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -180.1584+15.8329371\nAnswer: -164.3254629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1274116 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-7854)\/2233)\/((-72)\/2088)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (6 - (6 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-20)\/u)\/(u*u**(-1\/6)\/u))\/((u*u**13)\/u**23) assuming u is positive.\nAnswer: u**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5 + 139*f**4 + 11886*f**3 + 128736*f**2 - 2604960*f = 0.\nAnswer: -36, 0, 10, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15504327 is divided by 596320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3318\/15 + ((-16)\/(-4))\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 45. Let i be 15\/(-5) + 1 + q. Solve 0 = f - 2*s + i, -2*f + s + 1 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z + 9. Let a(k) = -12*k - k - 14 + 2*k. Let i be (-108)\/13 - 136\/(-442). Calculate i*n(c) - 5*a(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/443360 and 107\/35360.\nAnswer: 5763680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*x + 53, -2*g = -3*x - x + 54. Let o = 13 - x. Find f such that 6*f + 0 + o - 2*f + 2*f**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r - 26 - 38 - 33 + 97. Let v(s) = -s**2 - 3*s - 3. Let a(q) = 2*q**2 + 7*q + 7. Let y(f) = 3*a(f) + 7*v(f). What is c(y(w))?\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 148 = -0*h + 5*n, 0 = h + n - 28. Let w(t) = 6768*t - 6768*t - h*t**2. Let o(a) = a**2. What is o(w(j))?\nAnswer: 1024*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14182 + 16217. Does 55 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let q(s) = -4*s - 1100 + 1100. What is u(q(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(49)\/(-2*sqrt(700))*5)**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -498, -748, -998?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7041 - 7102.012. Let p = c - -0.012. Let i = 59 + p. Sort i, -4, -5 in increasing order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -266904?\nAnswer: -266904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t + 1\/8*t**6 - 27*t**2 - 1\/42*t**7 + 0*t**3 + 0 + 0*t**5 - 5\/6*t**4. Factor o(m).\nAnswer: -5*m*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -25. Calculate the remainder when 2*(3 + h\/4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**2 + 0*o**3 + 0*o - 1\/5*o**4 + 0.\nAnswer: -o**2*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*s - 2430 = 474, -3*s = 5*a - 2901. Calculate the lowest common multiple of 679 and a.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 - b - 1. Suppose 0 = -2*c - 4 - 2. Does 5 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*q - 3*r - 13, -39 = -q - r. Calculate the smallest common multiple of q and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8987346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 172\/7. Let t be ((-16)\/(-24) - 1)\/((-1)\/(-15)). Which is the second biggest value? (a) -4 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -392 or -86?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 2*b**2 - 4*b + 7. Let q(s) = -3*s**3 + s**2 + 4*s - 6. Let j(i) = -5*q(i) - 4*v(i). Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - 12\/(-10). Let k be (4 + -2)\/(-614 + 2 + -2). Let t = -928\/2149 - k. Put t, -0.2, z in increasing order.\nAnswer: t, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-15))\/(5\/(-3) - -2). Is d greater than 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000268 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 38433528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let c(x) = -263654*x. Calculate i(c(p)).\nAnswer: 69513431716*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 517\/312 - -1\/104. Which is the closest to -1? (a) w (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41849.\nAnswer: 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2459560 and 74120.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(16\/7)*(h\/(h*h\/h**2))**(6\/17) assuming h is positive.\nAnswer: h**(586\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {r: 4, t: 3, c: 1, f: 7, n: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 44*w + 49. Suppose 310 - 118 = 12*d. Is k(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {b: 1, e: 2, d: 5, h: 2, i: 1, g: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-32)\/76. Let f = -63\/76 - v. Let l be (-30)\/34 - (-2 - -1). Which is the third smallest value? (a) l (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739809 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60180.\nAnswer: 2, 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 65. Solve 4*d - 8 = 4*h + 3*d, -u = 5*h + 5*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104514 = -7*b + 4*x - 104512, 0 = 2*b - 3*x + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13177 or -13037?\nAnswer: -13177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10137025, 10137023, 10137021, 10137019?\nAnswer: 10137017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11016 by -3.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbjj when four letters picked without replacement from jbjbbjjbbbbbjjjb.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -163, -366, -651, -1018?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 13*h**2 + 17*h - 14. Determine y(11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/204)\/(9\/6)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-6))\/(35*(-16)\/(-280))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Calculate the lowest common multiple of (-1 - 4)*6\/(-5) and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -20 (b) 0 (c) -0.5 (d) -3 (e) 158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let u be a(1). Let k(p) = -p - 4. Let z be k(u). What is the units digit of z\/(-6) - (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -1002120001100111?\nAnswer: -1002120001022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2*4\/(-24)). Suppose -i - o*i = 0. Let 0 + i*z**2 + 0*z - 1\/2*z**3 = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -11, 25?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 - 205253*p**4 + 820968*p**3 + 5746940*p**2 + 6567968*p = 0. What is p?\nAnswer: -2, 0, 8, 205249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 481 = 3*f, 0*q - 3*q = -5*f - 369. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(160)\/(2*sqrt(256)))\/(sqrt(48)\/((sqrt(60)*-1)\/sqrt(10))))**2.\nAnswer: 125\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 60*d - 93*d)*(-201*d + 99*d + 101*d - 5).\nAnswer: 143*d**2 + 715*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488792 and 1710772?\nAnswer: 3421544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - 52\/(-4))*4\/(-6). Solve -b*c - 24 = 5*o - 2*o, 0 = -2*c + 2*o + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 + 146*f\/13 - 420\/13.\nAnswer: -2*(f - 70)*(f - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -85.67 (c) -10 (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5610142 is divided by 1371?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -42. Which is the second biggest value? (a) -0.3 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-57255)\/(-6) - (-1)\/(-2))*(-15 + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 910 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*o + 4\/7*o**4 + 4\/7*o**3 - 4\/7*o**2 - 4\/7*o**5.\nAnswer: -4*o**2*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/(-6)*(-1 - 236) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 2*t**3 + 7*t**2 - 5 - 7 - 20*t + 24*t. Let i be r(-6). Find a such that -50*a**2 - 1 + i + 49*a**2 - 2*a = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 9, -441442?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5227056*j**3 - 2*j**2 + 3780839*j - 3 wrt j?\nAnswer: 31362336*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -498 + 497. Which is the fourth smallest value? (a) 0.5 (b) z (c) 2\/11 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2028 divide 388351885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56741729 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)\/l**(2\/15)*(l*l**23*l)\/(l\/(l*l\/l**(1\/7))))**36 assuming l is positive.\nAnswer: l**(12252\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-90)\/(-4))\/9)\/((-1)\/(-6)). Let x = u - -30. Find the third derivative of -6*s**2 + 10 - 10 - 4*s**4 + x*s**4 wrt s.\nAnswer: 984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (114\/(-4))\/((195\/(-340))\/13). Let x = z - 503. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/(6\/(-27)). Suppose -4*c + 3*r = -2, 23 = -70*c + 71*c + 3*r. What is the third smallest value in g, 2, c, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:24 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*n - 8, r = 2*n - 7*n - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c = 1079*c - 677 - 2065 - 18042 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67715*x - 26 - 33878*x - 34512*x.\nAnswer: -675*x - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324397 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: Total of -3 and 0.12057.\nAnswer: -2.87943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4bd + 78e?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 66 - 213. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181732405 divided by 4.\nAnswer: -181732405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079078862*m**3 + 214 + 2079078868*m**3 - 214.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 16*a. Let v(h) be the third derivative of h**4\/3 - 7*h**3\/2 + 3316*h**2. What is k(v(l))?\nAnswer: 128*l - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4486 a factor of 1608378264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42fd8d (base 16) to base 4\nAnswer: 100233312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v**4 - 207*v**3 - 417*v**2 - 225*v. Let u(r) = -r**4 - 13*r**3 - 26*r**2 - 14*r. Let i(z) = 2*a(z) - 33*u(z). Find t, given that i(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/520*(4 + 16)*25\/2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24048 and 2138769.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-7 + 3 + (9 - 6)). Let n(j) be the second derivative of j + 1\/6*j**3 + i*j**2 + 0. Give n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*h - 265*h + 91*h + 2072798. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**5 - 22953539*a**2 - 470379237*a.\nAnswer: 140*a**3 - 45907078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqff when four letters picked without replacement from {q: 7, f: 4, r: 2}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6623 times 0.2?\nAnswer: -1324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 12*i**2 + 39*i**2 - 57*i**2 - i + 11 in the form t*i**2 + x + f*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/211 (b) -2 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 27*m**4 - 3*m**3 + 3*m**2 + 68. Let x(s) = 55*s**4 - 7*s**3 + 7*s**2 + 137. Let c(l) = 14*a(l) - 6*x(l). Find the first derivative of c(p) wrt p.\nAnswer: 192*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*d - 2 + (-8*d + 26 - 26)*(-1 - 3 + 3) + 5*d - 7*d - 7*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*r - 5950773 + 5955525 = 0 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1699450*f*t + 1389899*f wrt t?\nAnswer: -1699450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 - -9)\/((-13)\/(-91)) and 21?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 23 = -4*v, 12*v - 8*v = -k - 5. Suppose k*w = 2*w + 28. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 290180, -6, 39?\nAnswer: 290180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*g + 160, 9*w - 300 = 7*w - 5*g. Suppose y - 3*y = -w. Calculate the smallest common multiple of y and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 0*d**2 + 2*d**2)*(2*d - d - 3*d) + 0*d**3 + 2*d**3 + 0*d**3 + (d - d + d)*(-6*d**2 - 3*d**2 + d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*w + 153 = 0, -5*k = -3*k + 3*w + 350. Is (k\/(-65))\/((-1)\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1740 from 0.208.\nAnswer: 1740.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1891 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 11*t**2 - 20*t + 6. Let m be i(9). Let o be (16\/32)\/((-3)\/m). Solve -d - o*d = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 - 7. Let n = m + -1. Let r = -37 - -36. What is the nearest to -1 in r, n, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -m - 5, -k = -5*k + 2*m - 2. Suppose -1 = k*q - 33. Suppose n - 8 = -5*r, 5*r + 16 = 2*n + 2*r. What is the greatest common factor of q and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.21. Suppose -3*v = -y + 2, 4*y = -v - 2 - 3. Let j be (-2)\/20*(y - -5). What is the smallest value in j, k, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 + 4*x + 3. Calculate z(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 - 6*r + 6. Let n be h(-6). Suppose 149 - 19 = 5*d. Let p = 47 - d. What is the greatest common divisor of n and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-137)\/4)\/(2\/(-8)). Let a = -80 + d. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-27)\/12)\/(-1))\/(2\/208). What is the greatest common divisor of 52 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222966612.87 to the nearest 1000000.\nAnswer: -223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*h - 31*h - h)*(11 + 2 + 9) to the form o + l*h and give l.\nAnswer: -2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11119*3.9\nAnswer: 43364.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 800807339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2 + o - 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -567146 < -567140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*t - 803*t + 268*t + 268*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-17 + 12) - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1652 - -3584. Suppose -4*z + q = 444. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + cd?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*j + 3697, -2231 = 5*q - 8*q - 4*j. Suppose -3*f + q = 4*d, -374 = -3*d + d + 2*f. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -33*(-4 - 50\/(-15)). Let q(b) = 13*b**2 + 6*b**2 - p*b**2. Let k(h) = -2*h**2. Calculate q(k(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/65 and -43\/10700.\nAnswer: 139100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**3 - 13*t**3 - 11*t**3 - 7*t**3 - 9*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -1) + 31 + -25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12617\/222)\/(176\/24)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 2*i**2 - 4*i**2 - 1 - 2*i**2 + 3*i - 3*i + (2 - 5 + 1)*(-i**2 + 0*i**2 - i**2).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9344 - 9342. Solve -4*k + g*s = 4, -3*k + 5*k + 2*s + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381715*t**4 + 591432*t wrt t.\nAnswer: 4580580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)\/p**0)\/(p*p**(-2\/5)*p*p*p\/(p\/p**(-1\/8))*p*p))**(-28) assuming p is positive.\nAnswer: p**(1477\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 589673729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 4328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 790 = -20*n. Suppose -157*f - 5 = -n*f. Solve f*r - 3*r - 10 = 4*p, 5 = p + r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1568)\/735)\/(12\/770). Which is smaller: -136 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -523903, -1047057, -1570211, -2093365, -2616519?\n\"Answer: -523154*u - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -3, -1, 133, 1, 3 in descending order.\nAnswer: 133, 3, 1, -1, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/4 + 13*r**4\/4 + 29*r**3\/4 - 13*r**2\/4 - 15*r\/2 = 0.\nAnswer: -10, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -433 and -320.242.\nAnswer: 138664.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43956160 by 32.\nAnswer: -1373630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*s - 10, 7*s - 310 = -12*h - 296 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z**4 + 9*z**4 + 3*z**3 + 11*z**4 - z**2 + z as a*z**3 + g + f*z + y*z**4 + l*z**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230329100 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*y + 23. Suppose -4*t + 63 + 49 = 0. Let v = y + t. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -65*g**3 + g**2 - g - 4. Let q be -1 - ((-26)\/(-12) - 3\/18). Is a(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1238785, -10, -0.1 in increasing order.\nAnswer: -10, -0.1, 1238785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3839 take away -879.9058?\nAnswer: -2959.0942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sevenths of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -29*d**3 - 3*d**2 - 13. Let t(l) = -7*l**3 - l**2 - 3. Give -2*a(m) + 9*t(m).\nAnswer: -5*m**3 - 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2 = -4*a. Suppose 0 = z - 3*z - 4. Sort 5, a, z.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-60) + (-2)\/10. Let w = -13416 + 13416.5. What is the third smallest value in o, 1, w, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5\/3 + 47*n**4\/3 - 46*n**3 + 128*n**2\/3 - 32*n\/3 = 0 for n.\nAnswer: 0, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59f89d + -41?\nAnswer: 59f85c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t + 3. Suppose -4*l + 7 = -3*l. List the prime factors of k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + g. Let p(v) = -2*v**2. Let z = 64 + -61. Give z*o(c) + 5*p(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 222772364 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*n - 4*f, 5*n + 3*f - 2*f = 34. Let o(h) = h - 4. Let a(d) = -d + 5. Let w(u) = -4*a(u) - 5*o(u). Let m(x) = -5*x - 1. Calculate n*w(c) - m(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlyd when four letters picked without replacement from {l: 1, m: 1, d: 2, r: 2, y: 1, w: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/4 - 9*v**4\/4 + 9*v**3\/2 + v**2 - 6*v = 0 for v.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34728, -1, 0, -3114 in increasing order.\nAnswer: -34728, -3114, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 - 307.0131. Let d = 0.01309757 + a. What is d rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 783469037 to the nearest integer?\nAnswer: 27991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.082388 and -4?\nAnswer: 4.082388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -1 - -6) + 1. Let w = -1 + t. Let m be -6*w\/(-9)*2. Solve m*b - 2 = -4*f + 26, 5*f - 5 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 184 = a + 219, -12*c = 4*a + 220 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86055944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2688 = 6*v - 0*v. Let b(r) = r**3 + 9*r**2 + r + 18. Let c be b(-9). Find the first derivative of -c*t - 12*t - 480 + v wrt t.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 337, 750, 1327, 2068, 2973?\nAnswer: 4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w. Let h(j) be the second derivative of 0 - 18*j + 0*j**2 + 5\/6*j**3. Determine m(h(g)).\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruuu when four letters picked without replacement from uurruuuruur.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 - 8*n + 1. Give y(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m, -3*p + 18 = -4*m. Calculate the remainder when p\/(54\/1425) - 2\/6 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (1 + sqrt(304))) + sqrt(304))*-4 + sqrt(304)*-3*-3 + (-3 + sqrt(304) + (sqrt(304) - sqrt(304)*-1))*-3*1 + -3)**2.\nAnswer: -320*sqrt(19) + 4964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-6))\/((-2)\/(-4)). Let s(m) = m - 8. Let i be s(10). What is the second derivative of t - 7*t + y*t + 7*t**i wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14381 or -19.81?\nAnswer: -19.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13102 - -200?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206420, 1\/2, 6, 0, 1\/6, -0.2.\nAnswer: -206420, -0.2, 0, 1\/6, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.32. Let w = -211.782 - -212. Let j = w + v. Round j to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*b - 5*b. Let v = 26 - b. Suppose 0 = -2*l + v*t + 172, 2*t - 7 = -2*l + 145. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.99734 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 5*p - 3 = 0, 0 = 2*j + 2*p - 30. Let k = j - -3. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*d + 141 - 359, -3*b = -d - 221. Solve -b*c = -79*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 5*v)*(-2*v**3 - 2*v**3 + 3*v**3) - 3*v**4 + 3*v**4 + 2*v**4 - 243 + 243 + 10*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/396*7\/(-21).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(-5 + (-2 + sqrt(1216))**2*-5)*3.\nAnswer: -219780 + 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3779.\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.3, -3\/5, 107, 2\/3?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(99)*1*3 + sqrt(99) - (sqrt(99) + 1 + 5)) + -1 + sqrt(99) + -3 + 2*(sqrt(99)*1 - sqrt(99))**2)*-6.\nAnswer: -432*sqrt(11) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 2, q: 1, y: 7, b: 8}. Give prob of picking 2 d and 1 i.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b + 85*b = -2752. Let v = 349 + b. Solve -5*t - 4*l = 4, -t = v*l - 0 + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*q = 53, -18*q + 19*q = -5*o + 185. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 5*r + 4. Let w be j(-5). Let x = -0.082 - 3.918. What is the nearest to 2\/5 in x, w, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/40 - -317\/440. Find a, given that 2\/11 + h*a**2 + 6\/11*a + 2\/11*a**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*d**3 + 3*d**3 - 2 - 6*d**3 + 14 wrt d?\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -46. Let n = 117 + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 253?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 0, 2*i = n + 6*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6251 and 11039.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64946 and 28.\nAnswer: 129892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 175 = -101 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 78141 = x, -95*j + 99*j - 156246 = -2*x. What are the prime factors of j?\nAnswer: 2, 3, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4860*k**3\/7 - 2241*k**2\/7 + 276*k\/7 - 4\/7 = 0. What is k?\nAnswer: 1\/60, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 7*y + 95. Does 4 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*b - 105 = -264*b + 102 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-119)\/3)\/((-356)\/4272). Calculate the greatest common divisor of 308 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -17.\nAnswer: -89\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/5 + (-1)\/(-5). Suppose -6*w + 65 = 5*t - w, y = 3*t + w. Let c(r) = -2*r**3 - r**2 - 4*r + 4. Let n be c(0). Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57\/7 - 201\/35. Let 2\/5 + 18\/5*c**2 + d*c = 0. Calculate c.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, -0.4, -1\/9, -11?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from rjjre.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n + 4*n**2 + (-20 + 8 - 9)*(0 + n**2 + 0).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1889 divide 15674529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 3*c**2 + 100*c**3.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 142.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41033 - 41030. Let u = -0.8 + 1. Which is the closest to w? (a) -0.1 (b) -0.5 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -4 - (0 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 27805?\nAnswer: 27805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (16 + -1) - (1 - (1 + 9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l - 8. Let a be 43\/2 + 1 + (-5)\/10. Is 0 - (l - (a + 3)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1475 + 3436. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000432066566 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31880927 a multiple of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j + 20. Suppose -5*p - 4*w - 25 = -5, -25 = 5*w. What is the tens digit of k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6340899 - 108680861.\nAnswer: -115021760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -24. Let c(g) be the first derivative of 10*g**3 + 1. Let d be c(1). Calculate the greatest common factor of d and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - n**3 + 0*n**3 - n + 3*n**3 + n + 0*n**3 - n**3 + 3*n**3 + (-4*n**3 + n**3 - 3*n**3)*(-5 + 4 + 0) as v*n**2 + u*n**3 + k + d*n and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 98665 = -628259. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*w - a - a, 4*w + 4*a + 12 = 0. Is 327*w*(-3)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 + 3*c + 1. Let w be r(8). Let a = w - 22. Factor 0*g**2 - 7 - 9 + a*g**2 - 4*g**2 + 8*g.\nAnswer: -(g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 5.1. Let p = 1291383\/13 + -99271. Let g = 66 - p. Put o, g, 0.4 in descending order.\nAnswer: 0.4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2167*d + 710*d + 2972*d + 487*d + 4924*d in the form m + i*d and give i.\nAnswer: 11260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002001222 (base 3) in base 16?\nAnswer: 9fad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2*s**3 - 1 + 4)*(19*s + 19*s - 32*s).\nAnswer: 6*s**4 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00336619087 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 17 + (-23 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcrdrcprzcpc. Give prob of picking 1 d, 2 p, and 1 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 130?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1 = -o + v, -2*o - 11 = -5*v. Suppose c - 3 = o. Suppose -3*r - 21 = -3*x, 4*x + 2*r + c - 3 = 0. Put 5, 3, x in decreasing order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.153 - 0.093. Which is the third smallest value? (a) 2 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**3 + 2*i**2 + 3*i - 4. Let q be c(-2). Let u = q + 150. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -64 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - 665*m**2\/3 + 9347*m\/6 - 2674.\nAnswer: -(m - 4)*(m - 3)*(m + 1337)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**2 - a - 1. Let z(n) be the first derivative of -n**4\/4 + 7*n**3\/3 + n**2\/2 - 8*n - 3. Let o be z(7). Is q(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.03, 1\/4, 4 in descending order.\nAnswer: 4, 1\/4, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 35, 61, 87, 113?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**17*h*h\/(h*(h*h*h**(2\/55)*h)\/h*h)*h*h)**(-2\/55))**7 assuming h is positive.\nAnswer: h**(-13062\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -10200516273?\nAnswer: 10200516273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*a - 3, -368*i + 25 = -378*i + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 - 0.46. Let z = 0.0499373 - d. What is z rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33770672.3 and -32063?\nAnswer: 33802735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4672*d**3 + 149*d**2 - 3*d + 8. Let x(z) = -9343*z**3 - 301*z**2 + 6*z - 19. Let k(l) = 5*p(l) + 2*x(l). What is the third derivative of k(m) wrt m?\nAnswer: 28044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, 46513 in increasing order.\nAnswer: -3, 23, 46513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261940 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*b + 11292, -2*b - x - 7528 = -4*b. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:48 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-12)\/20*(-10325)\/2478.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 467*k*s + 42*k*v - 2*s*v - 13 wrt s.\nAnswer: 467*k - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - -199. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.69 and -3933?\nAnswer: 3936.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 594 or 9859?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 7880 + 3*u - u - 7883. Let q(a) = 1. Give -k(z) + 6*q(z).\nAnswer: 4*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.085995 and -43.5.\nAnswer: 3.7407825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*a + 504*a - 3192 = 1296 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.124468 rounded to three dps?\nAnswer: 2.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -77 - (-3 - (-1 + 79)) - 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = 307. Let d(u) = -u**3 - u - 18. Let f be d(0). What is the remainder when o is divided by 100\/(-6)*f\/15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372575603 to the nearest integer?\nAnswer: 19302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - 3*sqrt(120)*2) + -3*1*sqrt(120))\/((5*-2*sqrt(100))\/sqrt(10))*-2)**2 + -3.\nAnswer: 693\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 12:02 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a26 (base 14) in base 16?\nAnswer: f39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54216358759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4253639355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147963.\nAnswer: 3, 31, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.829 and -4?\nAnswer: -103.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 2. Let m = -47665 + 94298. Suppose m + 19367 = -a*f. Round f to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.007 and 45424.\nAnswer: 45424.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.9 greater than 0.0534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7640 - 7591. Solve 41*d - 8 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -93*(48\/(-36) - (150\/(-452) - 1)). Are 1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.487485212 rounded to 4 dps?\nAnswer: -0.4875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 401*k + 22 - 38 - k**3.\nAnswer: -k**3 - 401*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9018, -1, 3, -5 in increasing order.\nAnswer: -9018, -10, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 60 = 0. Suppose -2*y + 7*y - m = 0. Suppose b = -y*b. Solve b = 4*z + 2 + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 354026.6m?\nAnswer: 354026600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*s**3 + 3\/4*s**2 + 3\/8*s - 3\/4*s**4 + 0 + 9\/8*s**5 = 0 for s.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b + 64. What are the prime factors of i(48)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -5 (c) 4 (d) -31.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 17*q - 13. Let g be c(16). Let z(j) = j**3 - j**2 + 6*j - 3. Give z(g).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 523 + -523.02. What is the second biggest value in 0.2, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -780, -1519, -2242, -2943, -3616, -4255?\n\"Answer: y**3 + 2*y**2 - 752*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1274*s**5 - 7568*s**4 - 44286*s**3 - 60772*s**2 - 25328*s = 0. What is s?\nAnswer: -2, -1, 0, 6332\/637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201002200 + 21?\nAnswer: -10201002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1339812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 + 312. Solve 0 = 8*d - m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -2 + -4 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4285251 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 22*k - 623. Suppose -4*w + 40 = 2*a, 0 = 3*a + 2*a - w - 89. Calculate the remainder when k is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) + sqrt(2112) + -2*sqrt(2112) + sqrt(2112) + sqrt(2112))*-2)\/(3*(sqrt(99)*-2 + sqrt(99) - sqrt(11))).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22045905 + 22043577 = -97*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*g - 9, -69*g + 65*g + 15 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slnlnjjnrnjnnknknnl. What is prob of picking 2 n, 1 k, and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/3 (c) -78 (d) 2\/7 (e) 1.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 57940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 47*h**2 + 47*h + 181. Let i(n) = 21*n**2 + 23*n + 89. Let f(b) = 9*i(b) - 4*t(b). Calculate f(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from {m: 1, y: 4, t: 8}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 at most 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -84536088.\nAnswer: -84536088, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 + -159. Suppose q + 4*g = 2*q - p, 2*q + 4*g = 238. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 5*n**2 + 3*n**2 + (0*n - 2*n + 4*n)*(n + n - n) + (n - 1 + 1)*(14*n - 21*n + 9*n) + 1 - 2*n + 2*n**2 + 1 - 5.\nAnswer: 7*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4595 = -3*k, -3*k - 6*u + 2*u + 4613 = 0. Suppose -3*a = 4*f + 886, 5*a = 2*f + 3*f - k. Are -302 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*i + 111 = -116*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - k + 1. Let u(p) = -9*p**4 + p**3 + p**2 + 2*p - 1. Let j(w) = -q(w) - u(w). Find the second derivative of j(h) wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60552 (base 7) to base 14.\nAnswer: 54d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 12*c + 13. Let j be r(13). Let x(m) be the first derivative of j*m + 0*m**2 - 2\/15*m**5 + 2\/9*m**3 - 1 + 0*m**4. What is a in x(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let p be (-22)\/(-4) - (0 - 0) - 10947\/(-21894). Sort q, 3\/4, p, -0.3.\nAnswer: -0.3, 3\/4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2791980 and 540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 709 + 50*l + 76*l + 713 - 11*l**3. Let i(d) = 2*d**3 + d + 1. Let y(a) = 4*i(a) - m(a). Find the second derivative of y(n) wrt n.\nAnswer: 114*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 6*f - 2. Let k be (12\/(-2))\/(-2) + 1. Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 183*(-2 + 10\/6). Suppose -s = 3*t + 3*s + 117, -5*t - 4*s = 203. Let c = t - x. 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 closest to 256 in 0.1, -0.147, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + 0 + sqrt(612) + sqrt(17) + (sqrt(17) + sqrt(17) + 0)*5*4)**2)*2 + 2.\nAnswer: 376*sqrt(17) + 75126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - -0.3. Let v = 0.99 - k. Let z = 6.6 - 7.1. What is the third smallest value in z, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1342\/19645 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2088 divided by -348\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 1, u: 2, z: 2, k: 1, e: 1}. Give prob of sequence ua.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = -g, -5*g = 4*h + 79 - 62 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10*r = -40. Let m be 9\/(-2)*r\/((-105)\/(-2086)). Suppose -4*g + m - 99 = 0. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.56 - -0.56. Let z = 5 - 5.236. Let q = 0.106 + z. What is the closest to t in 1\/2, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 4*q + 16, -z + 12*q - 21 = 7*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:19 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m**(-2)))\/m)**(3\/26))**35)**(-5) assuming m is positive.\nAnswer: m**(-525\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)\/f)\/(f**(-4)*f)*(f\/((f\/(f*f**(-2\/3))*f)\/f))**(-42))\/((f**(-1)\/f)**(10\/17))**24 assuming f is positive.\nAnswer: f**(811\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, o: 3, e: 7}. What is prob of sequence kooo?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 - 8*o - 3. What is the remainder when ((-618)\/(-1648))\/(1\/24) + -2 + 98 is divided by a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.08*-4\nAnswer: 20.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006844108 to seven dps.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 582045\/69496 + -2\/8687. Find the common denominator of h and 157\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 230971586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(600) - (sqrt(600) + sqrt(600)*4)*-2)\/(sqrt(98) - 4*sqrt(98)*-5 - sqrt(98) - sqrt(98)).\nAnswer: -1 + 110*sqrt(3)\/133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000096139765 rounded to 6 decimal places?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**2 + 64*a - 7. Determine p(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -399 + 276. Let j = 122.99999662 + s. What is j rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2067.\nAnswer: 1\/2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 5*g + 15 + 5 + 3. Is 3 a factor of q(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 10. Let i be h(-3). Suppose 4*l - 817 = -y, -404 = -3*l + l + i*y. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -3 (c) 14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/8 - -1)\/((-6)\/(-12)). Let u be (9471\/(-2365) + 4)*z\/(-3). Are 1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-74 + 243 - 24)*(0*j + 3*j - j).\nAnswer: 290*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 23 + 3 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 6 - y - 9 + 2 in the form v + d*y and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1156 + -782. What is the greatest common factor of 34 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f = -93*f - 40 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -538 * 0.6\nAnswer: -322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4 + (-1 + -2)\/6. Let s(r) = 0*r**2 - 4*r**2 + f*r**2. Let t(y) be the second derivative of -y**4\/12 + y. Determine t(s(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*54\/99.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -8937.\nAnswer: -4\/8937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 9. Suppose -z = 3*z + 28. Let g be b(z). Suppose 0 = g*i, 2*i + 24 = -0*j + 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2535 - 1?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (16\/(-4) + 4 + 5). Let k be ((-2)\/3)\/o + (-671)\/(-183). Solve -2*b - 3*b - 3*m = 0, -3*b - m - k = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133070881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -496488 divided by -29\nAnswer: 496488\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 4. Let a(r) = -r - 3. Let z(c) = 5*a(c) - 4*y(c). Let i be z(3). Let b(f) = 2*f**2 + 3*f + 3. Give b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = 2*l, -24 = -x + 2*l. Let i = x + -9. Suppose -3*h - h = 2*j - 1782, 4*j = i*h - 2247. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 - 2*i**2 - 3*i - 10186. Suppose 2*y - 4 - 4 = 0. Give r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3*q**6\/10 + 267*q**5\/20 + 125*q**4\/4 - 29*q**3\/2 - 93*q**2 - 143*q. Solve f(t) = 0 for t.\nAnswer: -1, 2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Let z = -138 - -112. Let s = z + 28. Solve -u + t = -t, -s*u - k*t = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let p(m) = -27112*m**2. Give p(t(a)).\nAnswer: -108448*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a18 (base 11) to base 14.\nAnswer: 63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -101, 0.\nAnswer: -101, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2*g**4 + 5*g**3\/3 - g**2 - 4*g + 4. Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4\/245, 3, 0, 0.18.\nAnswer: -1\/3, -4\/245, 0, 0.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 6*j - 3*j + 0*j - 18. What is the remainder when 26 is divided by u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(-s**4 + s**4 - s**4 + (1 - 1 - 1)*(s - 2*s**4 - s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1202, 2381, 3560?\nAnswer: 4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 4. Let m(f) = f - 1. Let p(i) = i**3 + i + 1. Let b be p(0). What is b*q(y) + 4*m(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 11. Let x(i) = -7*i - 12. Let p(k) = 4*v(k) + 3*x(k). Let c be p(3). Solve -n - 5*l = 4, -4*l = -c*n - 0*l - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*o - 28, -2094*o - 152 = -2075*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.7. Let o = 182924 + -182948. Sort l, o, 12.\nAnswer: o, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 - 8*w + 108. Let g be l(0). What is the highest common divisor of g and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -333\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u. Let z(d) = -7*d**2 - 4*d. Give b(z(n)).\nAnswer: 14*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (422 + 2)\/(12\/(-24)). Let s be -5 + 2 + -1 + k\/(-204). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178689.\nAnswer: 3, 7, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - -0.4618?\nAnswer: 0.5018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 2*w + (7 - 4 - 2)*(3*w + 0*w - 5*w))*(-1 + 4 + 3) + 55*w - 27*w + 136*w.\nAnswer: 158*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -32 + 60 - 27. Let n(v) = -18*v**3 - 18. Calculate 18*g(o) + n(o).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*x - 3, 34 - 55 + 12 = c - 4*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*v - 66 = 7*v, -5*w - 4*v + 183 = 0. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104356, -104360, -104364, -104368, -104372?\n\"Answer: -4*n - 104352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 41 + 36)*(-4 - 2*y**3 + 4) to f*y + q*y**2 + s + v*y**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -16264\nAnswer: 146376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.229, -0.5, 1?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -1.2. Let d = -0.14 - 1.06. Let x = u - d. What is the third smallest value in x, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*z + 12, -7 - 7 = -2*h + 3*z. Suppose 18*l + h = 20*l. Suppose -3*x = -2*u + 13, 0 = l*x - 2*x + 9. Solve u*c = -12 + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2885 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-10))\/(2\/(-5)). Let z = -7.03 - -7. Let l = -0.07 + z. What is the nearest to l in 0.5, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.42, 2, -1517?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 + 14 = 0. Suppose 4*n = 5*o - 43, o - 2*n - l = -0*o. What is the lowest common multiple of 6 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by -88684.\nAnswer: -190\/22171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 156418286 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*d + 900*d + 911*d = 5248 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {n: 3, f: 1, z: 10}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -552534?\nAnswer: -552540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 6*b**2 + b - 4. Let y be k(6). Let g be (-21)\/(-9) - 4 - 4186\/(-2184). Factor 3\/2 - 1\/4*v**y - g*v.\nAnswer: -(v - 2)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -4*v. Suppose v*p - 2*q = 24, -12 = -4*p + 5*q - q. Calculate the greatest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1695*s**3 - 2 - 1694*s**3 + 1.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19521 + -19605.359. Round o to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9) + (-18)\/27. Suppose 2*u + 7*k = 3*k, -4*u - k = i. Is u >= 4\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let j be g(-5). Suppose -j*m = 17 - 67. Let o = m - 8. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.049008 + -0.049. What is l rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 27 + 29. Suppose -t + 76 = -0*i - 2*i, 0 = t + 2*i - 92. What is the highest common factor of p and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-nine fifths of a millennium in years?\nAnswer: 7800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 2\/7*-4*21\/(-96)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 0*m - 1\/2*m**2 - 4. Suppose -5*f + 4 = -4*n - 11, -3*n = 4*f - 12. Give l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003271682 rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3 + 2057368*m**2 + 1058194886580*m + 4232746628496 = 0.\nAnswer: -1028682, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -23 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:34 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v - 19*v = 38*v - 1120 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 30, -1, 4\/5, 3.4, 8, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -9*z**4\/8 + 13*z**3\/2 + 29*z**2\/4 + 5*z\/2 + 4. Suppose a(o) = 0. Calculate o.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35, -2\/9, -5 in descending order.\nAnswer: 35, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -336, -337, -338, -339, -340?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 80*g**2 - 2. Let y(x) = 12*x. Determine y(j(q)).\nAnswer: 960*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 17 = 10*a. Solve 0 = a*n + 2*r + 4 + 4, 5*n = 3*r + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.83 - -0.735. Let z = 0.0950202 + w. Round z to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15146610+-2057741\nAnswer: -17204351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -23. Let d be -19 + 15 - 7*-1. Suppose d*b - 17 = -5, -z*b = 2*r - 1370. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 60002*p**2 - 53834*p**2.\nAnswer: 6168*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52038 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 77\/6 (b) -7375 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 674, 1304, 1914, 2498, 3050, 3564, 4034?\n\"Answer: -z**3 - 4*z**2 + 649*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.7 times -287\nAnswer: 2496.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let u(n) = 3*n - o*n + n. Let w be u(-1). Is 1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Let n = -1.6 - 0.4. Let l = -2.1 - n. Is y greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 2\/3*z**4 + 5*z**2 + 1\/2*z**3 + 0 - 2*z. Let g be r(10). Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -t - 2*t + 43, -5*t - 5*o + 55 = 0. Let x(v) be the third derivative of v**4\/12 - 3*v**3\/2 + v**2. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 2*n - 28. Let t be -1 - ((-222)\/54 - 3\/(-27)). Let o be a(t). Put 2, o, 0 in decreasing order.\nAnswer: o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*m + 8146 - 983 - 1527 + 9774 = 0 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8799 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 16*u - 25*u + 43*u - 26 = 0, -3*u + 29 + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -22475.889.\nAnswer: 22479.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062603 is divided by 30360.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o + 0*o = -72 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {c: 3, m: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f. Let r(c) = -4*c**2 - 5*c. Let i(b) = -11*m(b) + 2*r(b). Let l(d) = -5*d. Calculate l(i(y)).\nAnswer: -15*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 195*t + 1586. What is j(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - 60\/144. Which is the third smallest value? (a) 5 (b) 0 (c) -8 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - -1 - (57 - -3). What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 502865, 2\/3, -0.1, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -195, -439, -781, -1221, -1759?\n\"Answer: -49*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*c - 3*p - 7, 2*p = -4*c + 28. Suppose c*z - 5*f = 45, -2*z - 5*f + 8 = -10. Solve z*y - 25 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.70438 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 3969, 8219, 13965, 21189, 29873, 39999?\nAnswer: 51549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.2 + 35. Let s = r - -4. Let x = -59\/4 + 421\/28. What is the third smallest value in s, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 8*u - 3. Let t be f(-5). Suppose 0*i = 3*i - 108. What is the highest common factor of i and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 2*s**2 - 3*s**2)*(96 + 67 - 79)*(0*s - 3*s + 2*s) in the form k*s + b*s**2 + r + j*s**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2)\/(((-310)\/3620)\/31). Which is greater: x or -911?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -4) + (11 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 605028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 26. Let c = -738 + 712. Is g bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-682)\/121)\/((1\/(-3))\/((-231)\/(-5670)) - -8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1*7 + -1. Let b(j) = 1 - 10 - 5 - j + 0. Give b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 188*q**2\/9 - 578*q\/9 - 388\/9.\nAnswer: 2*(q - 97)*(q + 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8 + 8 + 11 + 14 - 5*x. Let v be s(9). Let u be 1*((-64)\/(-110) - v\/(-22)). Sort u, -0.3, -1.8 in increasing order.\nAnswer: -1.8, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/8 + n**2. Let l(j) = 5 - 1967*j**2 + 3844*j**2 - 1883*j**2. Give l(m(k)).\nAnswer: -54*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480781.2m to micrometers.\nAnswer: 480781200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000887592819 rounded to six decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31088 - 54406067.\nAnswer: -54437155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 16 = -2*h, 26 = 2*h + h - 5*r. Find the third derivative of -31*s**5 - s + 6296 - s**h - 6296 wrt s.\nAnswer: -1860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -20*w**4 + 14*w**2. Let c be 7\/(3\/(18\/6)). Let a(z) = 39*z**4 - 28*z**2. Let m(o) = c*t(o) + 3*a(o). Find the third derivative of m(x) wrt x.\nAnswer: -552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4822, -9672, -14566, -19516, -24534?\nAnswer: -29632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -53*f**6\/30 - 333*f**2\/2 + 31*f - 4. What is the derivative of t(b) wrt b?\nAnswer: -212*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhwhhhhhjh. What is prob of picking 2 h and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1348 + -1345. Sort -0.14, -1, g, -2\/3 in decreasing order.\nAnswer: g, -0.14, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10840265 and -10840251 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*i = 2*i - 13, -4*q + 15 = 5*i. Let c(y) = -y**2 + 5*y - 6. What is c(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1275*u - 167 = -1273*u, 5*d - 166 = u. Suppose -4*k - 5*f + 73 = 0, 4*k - k - 78 = 4*f. Calculate the greatest common divisor of d and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30016 and 12060.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 z, and 1 d when four letters picked without replacement from {d: 1, c: 2, y: 1, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4144?\nAnswer: -4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 + 316*h + 1336. Give g(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3800 divided by -10\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29566e (base 16) to base 11\nAnswer: -1590430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/2 - 19. What is the biggest value in 1\/8, f, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**5 - 1848*i**2*r - 2075*i + 3*r - 1 wrt i.\nAnswer: -40*i**3 - 3696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let n(x) = 2*x**2 - 132. Calculate n(h(d)).\nAnswer: 2*d**4 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 57 (b) -0.1 (c) 2\/17 (d) 5 (e) 1746\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + 52. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 221463852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:07 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - j. Let w(k) = 6*k**3 + 12*k**2 - 3*k - 5. Let u(m) = -w(m) - 5*z(m). Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1. Let v(u) = -u**2 + u - 5. Give -v(s) + 6*w(s).\nAnswer: s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y. Let x(r) be the first derivative of r**2\/2 + 6. Calculate s(x(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -507 - -999. Calculate the smallest common multiple of f and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 - 2349 - 503*z - 2*z**2 + 0*z**2 + 2348 + 2*z**2.\nAnswer: -8*z**2 - 503*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -141 - (-375 - -133 - -89)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/(24\/28)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, c: 11}. Give prob of sequence ccyc.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*u**3 + 68*u**3 - 64*u**4 - 31*u**3 - 3*u + (-2*u**2 + 3*u**2 + u**2)*(2*u**2 + 48*u**2 + 9*u**2) as q + r*u + h*u**2 + l*u**4 + j*u**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:21 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22893 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 + 11280*b + 145299. Determine s(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/16)\/u**(-9\/4) assuming u is positive.\nAnswer: u**(37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 1717 - x + 1717.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 0*o - 2*o)*(1 + 4 - 6) - 2*o + 0 + 0 - 2*o - 3*o + 0*o + 40*o - 9*o - 1 - 14*o to f + d*o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.37740014 - 26.29388454. Let f = 30.916485 + i. Let m = -6 + f. What is m rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 225. Which is the third biggest value? (a) -1\/10 (b) -2\/27 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 42*s**2 - 171*s + 631. Let t be n(-46). Solve 23 + 10 = t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 15) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/3, 5, 0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 + 0*o**2)*(108 + 53 + 7) + (o + 2 - 2)*(3*o + 2*o - 7*o) + 2*o**2 - o**2 + 0*o**2.\nAnswer: 335*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4*a**2 - 4)*(2*a**2 + a**2 - a**2) - 4463*a - 4*a**2 - 278*a**4 + 4461*a + 3*a**2)*(0 + 2 - 4).\nAnswer: 540*a**4 + 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(3\/4)*h**(-6)\/(h\/h**8) assuming h is positive.\nAnswer: h**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0. Let z = 17 + -13. Put 5, z, i in decreasing order.\nAnswer: 5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - m**2 - 2*m - 1. Let r be c(-1). Let p = -253\/3 - -85. Which is bigger: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from vzkpmkvvzvvpkv?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/392)\/(((-293)\/(-12) + -24)*(-3)\/(-10)).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*q - 2*z + 10, -4*z + 29 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 + 2*g**2 + 2*g - 3. Let w be m(1). Solve -15*n - 16 = -w*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214 - 9*w - 104 - 101)*(-99*w**2 + 184*w + 181*w - 368*w) - 4*w**2 + w**2 + w**2 - w**3.\nAnswer: 890*w**3 - 866*w**2 - 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 21*a - 4, 6*m + 4*a = 70. Sort 43, 4, m in decreasing order.\nAnswer: 43, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1300968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6709 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*l**2 - 1)*(-l + 3*l - 4*l) + (2*l - 7*l + l)*(-2*l**2 + 2*l**2 + 3*l**2).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24340 divided by 10?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, -0.3, -177.9, 0.5, -0.17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -203, -211, -221, -233, -247?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (36 - 81) - (0 - 21)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8849265 rounded to 1 dp?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4663 (b) 2\/3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)*l**(-6\/7) assuming l is positive.\nAnswer: l**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qww when three letters picked without replacement from bbbjbjbjqwwzjbbqjj?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/3 - 2604*x + 15632\/3 = 0 for x.\nAnswer: -3908, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:53 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*i + 10. Suppose -4*y = -0*y - 8. Suppose -4*h + y = -2*h. Sort h, i, 5 in descending order.\nAnswer: 5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 30 + 1849*a**3 + 239*a**3.\nAnswer: 2088*a**3 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from -13.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i*i\/(i**(1\/20)\/i))\/(i\/(i*i\/(i\/(i**11*i)*i)*i)*(i\/((i*i*i\/i**(-7)*i)\/i))\/i) assuming i is positive.\nAnswer: i**(499\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 151. Let f be k(35). Let s(p) = 5*p + 125. Let o be s(f). Solve 2*v - 3*a = 7, -v - 5 = -3*v + o*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26375 by 19870.\nAnswer: 5275\/3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 + 30 - 43)*(-2 + 2 + o) as z*o + h and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 9. Let x be f(-6). Let s(l) = l**3 - 4*l**2 + 3*l + 4. Let k be s(x). Suppose -13 = -k*p + 19. Solve 5*r = 10, 3*c - 4*r - p = -2*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*112\nAnswer: 212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3590.7?\nAnswer: -3590.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*u + 2*u. Suppose 0 = 4*g - u - 7. Let h(x) = 2 - 10*x - 3 - 3 - 3. Let t(y) = -3*y - 2. Calculate g*h(q) - 14*t(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253423\/321 or 790?\nAnswer: 253423\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 2*a - 1. Let m(k) be the third derivative of -k**5\/6 + 5*k**4\/12 - k**3 - k**2. Let d be -2*(0 + (-6)\/(-4)). Give d*m(w) + 16*i(w).\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -14*t + 20*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) 3 (b) -249 (c) -1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*i - 21 = -0*i, -3*i - 60 = -5*f. Let q = f - 5. Solve -3*o + 2*o + q = 2*z, -5*o + 20 = 3*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 - 1708*o**4 + 140488*o**3 - 1599464*o**2 + 4640316*o - 3179628 = 0.\nAnswer: -499, 1, 3, 9, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 429787?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 71833\nAnswer: 2\/71833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t**3 - 39*t**2 - 311*t - 281. Let c(x) = -2*x**3 - x**2 - x + 1. Let n(b) = -8*c(b) - v(b). Let n(w) = 0. Calculate w.\nAnswer: -39, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 3*t**2 + 18*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-18) - (-13)\/(182\/(-14))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/8 + (-5)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 - 30*s + 1048*s**2 - 2*s**4 - 1050*s**2 to h + c*s**2 + l*s**3 + u*s**4 + a*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiigiggigiggiii. Give prob of picking 3 g.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(112) + 2))**2.\nAnswer: 400*sqrt(7) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482 + 486. Let s = -29.3 + 45.3. What is the nearest to 2 in a, -0.4, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 2*d - 7. Let m be r(5). Suppose 0 = -5*p, -30 = 4*z - 3*p - m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5042 - -5045. Let j(c) be the third derivative of 0 - 1\/6*c**b + 0*c - 1\/120*c**6 + 1\/12*c**4 + 21*c**2 - 1\/30*c**5. Determine j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 + 4*k - 5. Let o be g(2). Is 15 a factor of ((-58)\/(-4))\/(o\/10 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947069976.\nAnswer: 2, 1499, 245753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*m - 4*a, 3*m = 5*a + 117 - 129 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 8*p - 13. What is the common denominator of (-1862)\/2109 - 2\/p and -41\/9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 + 5*k + 8. Let h be r(6). Suppose 3*s = -0*s + 6. Suppose s*g - a = -6, -3*a = g - h*a. Do -7\/3 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2028 - 13?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 958428661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/(-25)*(-2)\/(-12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41005054843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-36)\/(-16) + -2)*2388\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*x + 180*x = -3*b + 16, b = 3*x + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-133*(-342)\/(-20577)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, 1 j, and 1 r when four letters picked without replacement from rjsxd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2356\/(-31))\/(-76)*10\/(-11).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 51*d**2 - 155*d + 2. Calculate z(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2 - 117*w - 10. Calculate the smallest common multiple of l(-12) and 5.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17233266 (base 9) to base 14\nAnswer: -120dc2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, h: 3, y: 2, f: 1, c: 3, i: 1}. Give prob of sequence oh.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxhhmurmhhhpu. Give prob of sequence xh.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 13*s**2 + s**4 - 60*s + 59 - 61 + 0*s**2 - 11*s**2 to the form w + u*s**2 + t*s**3 + d*s**4 + c*s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let w = 0.18 + -5.18. Let u = 4 - 9\/2. Which is the closest to f? (a) 2 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 6. Let s(q) = 7. Let u(i) = -7*o(i) - 6*s(i). Let b(p) be the second derivative of p**4\/6 + 2*p. What is b(u(w))?\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 12917668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 13547019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -e979ec (base 16) to base 4\nAnswer: -322113213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-24)\/20)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 - -1)\/((-10438)\/(-35919)). Is 89 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8748.02049586 and -0.0612.\nAnswer: 8747.95929586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 1 (c) 35405\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 3 = 0. Let a = 18 + -11. Let z = n + a. Calculate the smallest common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1350738*f**3 - 1334*f**2 + 181*f wrt f?\nAnswer: 8104428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 3*s + 2. Let u be a(-3). Suppose -3*v = -u*v. Suppose v = 2*w - w. Which is smaller: w or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*l + 4820 = 235*l + 94*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40243 + 1015?\nAnswer: 41302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 15) to base 4\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -s + 14*s, 3*r - 2*s - 2*s - 1 = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-1495)\/425 - 16\/136. Which is the closest to -13? (a) -7 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63616 and 1469132?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h - 6*h**2 - 7 + 4*h**2 - 3*h**2. What is t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**7\/35 + r**5\/15 - 4*r**2. Find the third derivative of v(x) wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2320\/(-3248))\/((-3)\/105).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (199 + 156 - 258 + 148 - 17)*(8 - 7 + 18)*(-k**2 - k**2 + 3*k**2) to the form b*k**2 + y + a*k and give b.\nAnswer: 4332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 d, and 1 i when four letters picked without replacement from {d: 4, y: 9, a: 2, e: 3, i: 1}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 + 0?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5.3 (c) 1\/33 (d) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4*4\/(-2). Let f be (10\/5 + 2)*(-3)\/(-4). Suppose 18 = -f*l - 9. Is m bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17c581 (base 14) to base 9\nAnswer: 1521264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/45 + -2831\/90. Find the common denominator of 14\/9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let m(y) = 2388*y. Determine u(m(w)).\nAnswer: 2388*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42198, 84448, 126698?\n\"Answer: 42250*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/6))\/j**5)\/((j\/(j**(1\/9)\/j))\/j**(-9)) assuming j is positive.\nAnswer: j**(-265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2697596 to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1293*p - 56688. Give f(44).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1230 and 2337?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 16. Let v = h + -25. Let l = v - 14. What is the highest common divisor of l and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21450 + -21460. Let x(w) = -9*w - 96. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 18 - 2. Let t = 0.2 + 0.3. What is the third smallest value in q, t, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104\/11 or -9?\nAnswer: -104\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 785, 0, -1, -5 in ascending order.\nAnswer: -5, -1, 0, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -5\/11*h**4 - 1\/33*h**6 + 2\/11*h**5 + 20\/33*h**3 + 1 - 5\/11*h**2 + 2\/11*h. Let a(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w = 0. Suppose 2*t + t - 6 = w. Find the first derivative of 5*u**t + 0*u**2 - 2 - 3*u**2 wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 - -16?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 51*l + 403. Determine m(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 55*y + 1875. Determine t(-25).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 14)*((-2 + 2 + v)*(-1 + 3 - 4) - v - 2*v + 2*v + 3*v - 2*v + 0*v + 9*v - 31*v + 30*v).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34728395+3140\nAnswer: 34731535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 6 - 1 - 291*g**3 + 575*g**3 - 283*g**3. Determine m(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/(-2)*(-543 + 546)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238935.8 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/91, 698, 0.05.\nAnswer: 0.05, 11\/91, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110533 - 4?\nAnswer: 110527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 34*a - 14. Does 24 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14359 - -14322. Which is the second biggest value? (a) 6 (b) 2 (c) u (d) 5 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/2, -1\/338, 2\/3, -0.2 in decreasing order.\nAnswer: 3, 2\/3, -1\/338, -0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 8*f + 11. Let l be w(-9). Calculate the highest common divisor of 8 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (-3 + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1, -4*k - 15 = k - 5*r. Let p be (k\/5)\/((-2)\/10). Solve 4*x + 20 = 4*q, 0*x + 3*x + 19 = p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 - 4*u. Let v(i) = -5*i**2 - 3*i. Let c(l) = -3*k(l) + 4*v(l). Let x(h) = -h + 7. Let r be x(5). Let d(t) = t - t + r*t. What is c(d(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -91d49 (base 15) to base 13\nAnswer: -132390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erer when four letters picked without replacement from rffeeeffreeeeffeef.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/105)\/(26\/(-91) - 0)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167 and 109051.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19096, 27730, 36364, 44998?\nAnswer: 53632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 3*o - o**4)*(38 - 20 + 36 + 68) as f*o**4 + u + j*o**2 + x*o + s*o**3 and give f.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -791801.5335 minus 30?\nAnswer: -791831.5335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*q + 19, -2*q = 3*v + v - 4. What is the smallest common multiple of ((-1)\/(-1))\/((-9)\/(-54)) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**2 - 1151*a + 3672. Let n be j(-131). Let 3\/4*y**3 - 15\/4*y + 3\/4*y**n - 9\/4*y**2 - 3\/2 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157658?\nAnswer: 2, 3, 61, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1, g: 4, i: 1, b: 6}. Give prob of sequence gb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + l**2 - l**2)*(22*l**2 + 31*l - 31*l) + 2*l**5 + 0*l**4 + 0*l**4 - 7*l**4 - l**4 + 2*l**5 + l**3 - 2491*l + 2466*l.\nAnswer: 48*l**5 - 8*l**4 + l**3 - 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3529276?\nAnswer: 2, 163, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*d + 9471 + 2259 = -5610 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let a be p(4). Let d(z) = -z + 12. Let i be d(10). Let w(x) = i + 9*x + 2*x + 2*x - 3 - 14*x. Calculate w(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 282\/18 + 2*(-3)\/(-18). Which is bigger: 18 or q?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1816293mm to centimeters.\nAnswer: 0.01816293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c**2 - 2*c - 4. Let d(g) = -g**2 + 24*g - 19. Let h be d(23). Suppose a + 0*v = -3*v + 35, 123 = h*a - 5*v. Let b = a - 29. Determine s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 + 4*n + 3. Let u be t(-4). Let m = -1657 - -2818. Let z = m + -1149. What is the highest common divisor of u and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 2, q: 1}. What is prob of picking 2 k and 2 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -9 (c) -91 (d) -5\/2 (e) -6\/11 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 2 - (2 - 5) - 2. Let u = b + 8. Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = 76*i - 14969641. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f + 38*f + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 6:38 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32a27 (base 14) in base 7?\nAnswer: -1020550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 8*k = -3*x + 24, -2*k = -3*x + 14. Solve x*i - 5 = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*v + 21, -4*v = 2*d - 7 - 11. Let m(u) = 20*u**3 + 2*u**2 + 2*u + 1. What is m(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwd when three letters picked without replacement from {w: 2, v: 2, p: 1, d: 2, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 3*l - 342. Suppose 4*w - 87 = w. Let r = l + w. What is r rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111*g - 7078 = 1810 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - (-15 - -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/6 or -6\/43?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -564 - -2819\/5. Suppose 1 = w - 2*w. What is the second smallest value in 3\/11, w, -4, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946309 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3946 times -0.00117?\nAnswer: -0.000461682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*k - 3*k + 7 = 0, 0 = -g - k + 14. Let a be ((-66)\/2)\/(7\/(-21)). Suppose -28*s = -31*s + a. What is the least common multiple of g and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4720247 is divided by 790?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 20. Suppose 3*l - 7 - 2 = 4*q, 2 = -2*l. Let g(v) = -4*v - 6. What is the remainder when a is divided by g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - -14. Let g = -4 + 9. Suppose g*r + 25 = 0, 3*c - 4*r = -c + 72. Calculate the highest common divisor of p and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/11403 and -25\/63.\nAnswer: 11403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*(-1)\/3)\/1. Let u(h) = -h**3 + 3. Let q be u(d). Find the second derivative of -q*s + s + 3*s**4 - 4*s**4 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 126.73841.\nAnswer: 117.73841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 614614?\nAnswer: 23355332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + s - 3. Let q be (-60)\/(-32) - (-1)\/8. Suppose -5*a + 7 = -4*p, -5*a + a - q*p = -16. Determine u(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4337, 4334, 4329, 4322, 4313, 4302?\n\"Answer: -p**2 + 4338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 + 5 = 0, 4*q - 22 = -2*b. Let k(v) = -2*v - 2. Let r(x) = -4*x - 5. Let a(h) = q*k(h) - 3*r(h). What is the units digit of a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/7, 3\/4, 3\/2, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*s**3 - s + 6435 - 3*s - 215*s**2 - 6433 + 214*s**2 as x*s**3 + z*s + b*s**2 + g and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(560\/68) - (-2 - (-36)\/21).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 130. Suppose 2*b - o = -4*x, -5*b - 2*x = 110 - 302. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1485 + 592\/1485. What is the biggest value in -1\/3, -1, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 times 0.54\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*g**4 - 2 - 2 - g**2 + 74*g**4 + g**3 in the form y*g**4 + k*g**2 + x*g**3 + l + h*g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(187)\/(2*sqrt(11)))**2 - (1*sqrt(17) + 1)).\nAnswer: -sqrt(17) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2490028 to 3 decimal places.\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -136 (b) 5 (c) 1\/3 (d) -4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/28)\/(8\/28). Let b be 4\/24 + (-59)\/d. Solve 8*l + b = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/(-15405) + 1496\/3315.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*6\/14. What is the nearest to -2 in 2\/9, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r**3 + 105*r**2 + 459*r + 108 = 0 for r.\nAnswer: -3, -1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5 - 2 + 0 + 3*f. Let g be r(-2). Let b(p) = 4*p + 0 - 2*p + 2. Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -5 + 9 + 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4626734\/9 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 936?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 + 137. Let y(m) be the third derivative of -1\/6*m**h + 0*m + 1\/60*m**5 + 0 - 4*m**2 + 0*m**3. What is y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 = -h, -h = 5*s + h - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Suppose 4*c = n*c - 2. Find the third derivative of 10*i**2 - 6*i**c + i**5 - 5*i**5 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + s**2 - 3*s + 4 + 59*s**3.\nAnswer: 59*s**3 + s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002111736 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 297*u**2 + 122*u**2 - 472*u**2 to d + y*u + k*u**2 and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -2.6339291483?\nAnswer: -7.3660708517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 73791199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -41\/16?\nAnswer: -41\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**3\/v)\/v)**34)**33)**(-34))**(-27) assuming v is positive.\nAnswer: v**1029996","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 43. Let p be o(-6). Let y(q) = 2*q**2 - q - 1. Let c be y(-1). Suppose b = c*b + p. Let l(u) = 2*u**3 - 2*u**2 - 2*u - 1. What is l(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7 - 67. Let z = -14 + c. Suppose r - 5*r = -k + z, 0 = -k + r + 20. What is the greatest common divisor of k and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 100. Let p = 20 + d. Let t be p\/1*24\/(-40). Solve 4*v - t*h = 11, 3*v - 2 = v - 2*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.0254, -20, 176.1?\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 - 6*y + 6. Let h be o(5). Let g = -1 + 2. Does h = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*h + 15 + 18 = 0, 3*v + h = 37. Let z(b) = v*b**2 - 5*b**2 - 26 + b**2 + b**3 + b. Does 25 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 - 6*f**2 - 26*f**2 as b + t*f**2 + r*f and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y**6 - 1\/70*y**7 + 1\/3*y**3 + 0*y + 0*y**5 + 7*y**2 + 0 + 0*y**4. Find the first derivative of r(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -7. Let n(x) = 4*x**2 - 5 - 8*x + 12*x**2 - 15*x**2. Let s be n(b). Solve 2*f - s = 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 3, -5 in ascending order.\nAnswer: -5, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 30 = -5*a, -2820*u - 8 = -2817*u + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7477 + 29138. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7*s + 5*w - 9, 2*w + 3 = s. Suppose 24 = 5*d - 4*r, -d - s*r - r + 24 = 0. Calculate the least common multiple of 18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3502, 6102, 8702?\n\"Answer: 2600*c + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = q - 3, 5*q + 0*d - 11 = 3*d. Let v be q + (-195 - -4)*2. Let h = 746 + v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/6 + -4)*-6. Suppose c = i*w, -2*c + 3*w + 18 = -3*c. Let q be 3*(-4 + (-33)\/c). What is the biggest value in -1\/2, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 241*m**2 - 21*m - 1 + 12*m + 3*m + 8*m. Is j(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(121)*4 - sqrt(121)) + sqrt(121))*6)\/(2*(-2*sqrt(66))\/sqrt(6)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25503013*d*m - 15835752*m + 1 wrt d?\nAnswer: 25503013*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354470.501437 + 354470. Let y = 1183.501 + -1183. Let q = a + y. Round q to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -1251 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21786*o**3*p**2 + 27102*o**2*p**2 wrt o?\nAnswer: 130716*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 10296, -4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 + 6*b - 9. What is the remainder when a(3) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 90*x**3 - 15*x**2 - 166*x + 1301. Is j(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -413983*z**2 + 9320*z - 13.\nAnswer: -827966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34911 and 8232531.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -17. Let v be ((-3)\/a)\/((-2)\/66). Solve -l + 2*n + v = -3*n, 15 = -5*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -3\/4 (b) 3 (c) -0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -213, 0 in ascending order.\nAnswer: -213, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 16*h**2 - 54*h + 1420. Calculate x(16).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + 2688\/6. Let l be 65\/(4*(-4)\/f). Round l to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 12. Let m be s(18). Let w be (-27)\/30 + m\/10. Which is the nearest to -1? (a) 3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -63.8. Let f = -1.6 - -7.6. Let h = f - u. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:07 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*3\/(-12)*12\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -376141 (c) 4 (d) -0.2 (e) 2 (f) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4, -1\/6, -76?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**4 - 12461461*u**3 + 109382654*u**2?\nAnswer: -72*u - 74768766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 42, 93, 174, 291, 450?\n\"Answer: m**3 + 6*m**2 + 2*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from fffffbffsfaffddfffka?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**3\/6 - b. Let n be c(-4). Suppose 0 = y + 1 + 1. Sort -3, n, y.\nAnswer: -3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/(-413) + 46\/(-7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose -u*d + d = -4. Solve d*b - 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**3 + 7*t**2 + 5*t - 11. Let w(i) = 5*i**3 + 3*i**2 + 2*i - 5. Give 3*u(h) - 7*w(h).\nAnswer: -5*h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(1*sqrt(2736)*-1)**2)*1.\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 9*s - 24. Let g be 2\/s*6 + (-325)\/(-26). Let a(l) = 2*l**2 - 19*l + 17. What is the tens digit of a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/(-70) + 285\/7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 4 (c) -1\/3 (d) -3\/5 (e) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17968 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64084 + 14162536\/221. Let v = d - -19009\/1768. Calculate the common denominator of v and -97\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 2, t: 2, q: 2, m: 2, x: 5}. What is prob of picking 2 u and 1 t?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1\/5, 3\/1369, -14, -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 637 = -85*h + 10*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k - 70. Suppose -k + 94 = 5*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 258*b**3 + 4*b - 15*b**3 + 0 - 1. Suppose 3 = 3*l + 4*g - 5*g, g = 3. Is t(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5702008\nAnswer: -5702008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 43512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.839799 microseconds to nanoseconds.\nAnswer: 6839.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-20)*(-2725380)\/(-148176)?\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3862, -4 in decreasing order.\nAnswer: 3862, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*u - 53220 - 25180 = -58*u for u.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*o - 190*o - 214*o)*(3*o + o - 6*o) to t*o + j*o**2 + c and give j.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*c - 3 + 135*c + 302 + 80*c + 12*c with respect to c.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (11 + -27)) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 112 = 5*k, 3*k + 36 = 4*k + 3*f. Let w = -29 - -42. What is the remainder when k is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 322477 and -2?\nAnswer: -644954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -10.36, 4\/3?\nAnswer: -10.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 22\/9 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.300354 - 13.3. Round k to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 9*m**2 - 13*m + 11. What is the hundreds digit of y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*l = 34, -4*s + 4*l = s - 97. Let h(w) = 3*w + 2. Let d be h(6). Is d equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 18. Let o be k(-8). Suppose o*j = 10 + 16. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let h be ((-2 + 3)*5)\/(-1 - 1). Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 93.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**5))\/(q**18\/q))\/((((q*(q\/q**(-3\/4))\/q)\/q*q)\/q)\/q**(-19\/2)) assuming q is positive.\nAnswer: q**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 68*s - 660. Determine j(-24).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 19*w + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(5\/2)*o)\/o**(-3\/5)*o**(-1\/2)\/o*o*o**6 assuming o is positive.\nAnswer: o**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/5 + 472*p**3\/5 + 6880*p**2 + 144000*p = 0.\nAnswer: -100, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1780812570*c**2 + 1780812570*c**2 + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1055.674 from 0.5.\nAnswer: 1056.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.874 - 0.006. Let f = u + -0.12. Let s = -182 - -183. What is the fourth smallest value in f, s, -4, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h - 28. Let y be u(-20). Suppose -8*j + j + y = 0. Suppose j = 4*c - 0. Solve c*o - g + 5 + 4 = 0, 4 = o + g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 2*g - 4, -3*m + 4*g = 3. Let d be (-28 + 2)\/(m\/6). What is the highest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(2\/37)\/(s**(-3\/4)\/(s**(-1\/2)\/s)) assuming s is positive.\nAnswer: s**(-119\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 3. Let r be d(5). Let i be (r\/(150\/8))\/(2 - 0). Let f be (144\/(-44))\/(-1) + -3. What is the third smallest value in f, -3, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437355 is divided by 72881?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 357?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 31616.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3035072596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/180 - 338*c**5\/15 + 114469*c**4\/4 - 2052338*c**3\/9 + 8022*c**2. Determine u so that w(u) = 0.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + 4. Let y = -19 + 23. What is the closest to o in 0.3, 3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*f - r, 11 = 3*f + 3*r - 1. Let p be ((-2)\/4)\/((-3)\/6). Let o be (p - 3) + 16\/4. Solve -o*b - 1 = -f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 641 + 4650. Is l 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 3 j when three letters picked without replacement from jjjjpjpppp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108273 and 6324?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18498 - 18002. Suppose 2*m - 114 = -2*g, 3*m + 3*g - 233 = -m. Calculate the greatest common factor of m and f.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 9*k - 6. Let i(v) = -2*v**2 - 10*v - 7. Let z(h) = -6*a(h) + 5*i(h). Let y be z(-1). What is the smallest value in 2\/13, 1, y, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-35)\/140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525709938 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2 + 13 - 28*j**6 - 9*j**6 + 11 wrt j?\nAnswer: -4440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 6429739626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1468 (base 12) to base 14\nAnswer: c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.65423, -3, 332?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.16 (c) 72 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, m: 6, y: 3, k: 1, n: 2}. What is prob of picking 2 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1\/3, -1, 2 in increasing order.\nAnswer: -1, 1\/3, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -35 - (-16 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (535\/(-72))\/(-3*(-4)\/(-120)). Let l = c + -279\/4. What is the common denominator of 69\/8 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 8. Let n(y) = -1. Let c(m) = 3*d(m) - 6*n(m). Let o(z) = z - 10. Let x(p) = 3*c(p) + 8*o(p). Suppose 6 + 14 = 4*l. Give x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d)\/d*d*d\/d**(2\/9)*(d\/(d*d**(-2)\/d))\/d*d\/(d**(3\/7)*d)*d assuming d is positive.\nAnswer: d**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**5 - 35 - 10*o + 35 + 25*o**4 + 35*o**2 - 45*o**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4 + 14 - 2 - 8 - 2. Let x(z) = z + 3. What is -2*x(f) - 5*y(f)?\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2216579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 238*v**2 + 792*v + 7. What is y(-44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818 + 4 + 84\/(-6) a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*h + 20 + 5, 4*m - 3*h = 23. Suppose 0 = m*p - 71 + 11. Calculate the lowest common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16120 by -620.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1692 + -1674. What is the remainder when q is divided by (-1 + (-9)\/(-6))*22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -522, -539, -578, -651, -770, -947, -1194, -1523?\n\"Answer: -2*f**3 + f**2 - 6*f - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 7*v - 7. Suppose 5*r = v*r - 28. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 45 = 3. Let p = 13 + h. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (1*sqrt(80) - sqrt(80)) - ((sqrt(125) - -1*(sqrt(125) + -1) - sqrt(125)) + -2))**2.\nAnswer: -30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 84*k**2.\nAnswer: 3*k**2*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 15) to base 4\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5)*s*(s*(s*s**(-22)\/s)\/s)\/s)\/(s**12*s)**49 assuming s is positive.\nAnswer: s**(-653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662885645?\nAnswer: 5, 23, 719, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 - 2*z**2 + (z - 4*z + z)*(-4*z + 2*z + 4*z))*(0*z + 0*z - z) + (3*z + 0*z - z)*(3*z - 2*z**2 - 3*z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268131*i - 662059 wrt i?\nAnswer: 268131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/7 - 6684*w**3\/7 + 3*w**2\/7 + 20050*w\/7 - 13368\/7 = 0.\nAnswer: -6684, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 - 80*l**2 - 657*l - 112. Determine x(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1356 and -83\/60?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(325))**2 + 5.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 47. Let j be n(-15). Let u = -86 - j. Solve 2*b - u*b - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 5, -1\/3, -17, 6\/71 in increasing order.\nAnswer: -17, -7\/4, -1\/3, 6\/71, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920875319?\nAnswer: 7, 13, 797, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 + 173 - 2*x - 635 + 301.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28815 - 11?\nAnswer: 28804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o + 4. Let w = o + 37. What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 300062896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 63, -58, -295, -654, -1141, -1762, -2523?\n\"Answer: -v**3 - 49*v**2 + 143*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let b(s) be the third derivative of s**4\/4 - 129*s**3\/2 - 2758*s**2. Give g(b(f)).\nAnswer: -36*f**2 + 4644*f - 149769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -2*i, 3*o = -5*i - 9 + 4. Let d(y) = -4*y + 5. Let c(x) = -x - 2 + 1 + 2*x. What is i*d(w) - 5*c(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5134 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 7. Let o = -4.8 - h. Let n be (1\/3)\/1*-3. What is the second biggest value in 4, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*q - 129911 + 129814 + 9*q**3 - q**2 + q**2 wrt q.\nAnswer: 27*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100 = -429*z + 5340 + 15390 - 1612 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001448865 to six dps.\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*x**2 + 37*r**3*x + r**3 - r**2*x + 3*r**2 + 93*r*x**2 - 3*r wrt r?\nAnswer: -12*x**2 + 222*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q + 42446 = j, j + 3*q - 42438 = 0. Suppose -13*r + 17720 = -j. Suppose -106*m = -102*m - r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 0 (c) 0.13 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*r + 5*q, 0 = 3*r - 6*r - q + 11. Suppose k - o = -r*o + 14, -5*k = o. Let s be 4\/(-8) + (-1)\/(-3). What is the closest to 2\/3 in k, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/25 - (-2)\/(-10). What is the derivative of 2 + m - 37*z**3 + 29*z**3 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 (base 14) in base 11?\nAnswer: 4706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10709*s**2 + s - 34. Let h(o) = 23*o. What is k(h(t))?\nAnswer: -5665061*t**2 + 23*t - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and 17\/400126.\nAnswer: 2000630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(90) + 4 + sqrt(931).\nAnswer: 4 + 22*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2 + 4*v**2 + v**2 - 2*v**2 + v. Let t be k(-2). Let y = -6 + t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 49, -0.2 in ascending order.\nAnswer: -0.2, 0.2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12621380 and 18520?\nAnswer: 25242760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2*j + 5*a*j**2 + 100*a*j + a - 12*j**2 - 9*j - 55 wrt a?\nAnswer: -12*a*j + 5*j**2 + 100*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 71. Let c be b(33). Suppose -4*t + 3*t = c*i + 37, 2 = -t. Sort 5, -1, i in decreasing order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 2504*q**3 + 376564*q**2 - 4792656*q + 14653584.\nAnswer: 4*(q - 6)**2*(q + 319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 1459*h - 2 + 4 - 1459*h. Let s(f) = -2*f**2. Determine l(s(k)).\nAnswer: 12*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -12*n + 17*n - 3*n**2 - 318*n + 837 - 65*n - 456*n = 0.\nAnswer: -279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3593*m - 3592*m - 10308. What are the prime factors of m?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -41?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 58265162?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550667, 550686, 550705?\nAnswer: 550724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 83. Suppose 4*o = m + 4. Suppose 4*t - 19 = -3. Solve -t*u - o = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.37 and 0.372.\nAnswer: 9.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -165, -95, -9, 69, 115, 105, 15, -179?\n\"Answer: -4*w**3 + 32*w**2 + 2*w - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 16*f - 4. Suppose 22 = -q + 3*b, -5*q + 2*q - 5*b = -4. Calculate the remainder when v(q) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 - 16 = 0. Suppose g + h*g - 21 = 0. Solve g = -4*a + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 132*x**2 + 2*x - 1. Let p be o(1). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83.02 + -83. Let k = c - 1.92. Let q = 0.9 + k. Is -3 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (3 - (-3 + 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181 + -2?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75 - 0.9. Let r = -6.85 + l. Let v = r - -6.5. What is the nearest to 0.1 in 1\/6, 2, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + -8 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7859191313 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249905697*h**4 + 7283816*h - 2 wrt h?\nAnswer: 2998868364*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + 5. Let x(w) = 4*w. Calculate c(x(i)).\nAnswer: -32*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 323 = -3*x - 290, 8 = -5*x - 4*b. Solve 0 = -d - x*u + 9, 2*d + 3 = d + 2*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzom when four letters picked without replacement from yzmodyzdl?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*w**5 + 1020*w**4 + 361*w**3 + 316074368*w**2 wrt w?\nAnswer: 2340*w**2 + 24480*w + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*12*(-8)\/12. Suppose 0*m - 5*m = 3*p - 30, z = 2*p + 2*m. Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -0.04, 166 in decreasing order.\nAnswer: 166, 27, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008263 rounded to 6 decimal places?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2122682, 2122680, 2122678, 2122676, 2122674?\nAnswer: 2122672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - k - 10, -5*r = -k + 19 + 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15603341.\nAnswer: 13, 137, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 4. Let h be d(4). Suppose h = 3*f - 6*f + 39. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58969566 divided by -29484783?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1\/4, 11.7, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j**2 - 4437*j + 401. Calculate a(-193).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 34 = -2. Let n be (-2)\/(-5)*(-15)\/l*-6. Let w(k) = -k + 22. Let d be w(20). Solve -n*c + 1 = -d*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 824*q - 826*q + 2 - 2. Let s(g) = 21*g - 2. Give s(n(l)).\nAnswer: -42*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 1717*g**2 + 3437*g + 1719.\nAnswer: -(g - 1719)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let w be 0 + n\/((-2)\/(-4)). Solve 0 = 3*s - 3*l + 12, l = 4*s + w - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24321, 24329, 24341, 24357, 24377, 24401, 24429?\n\"Answer: 2*m**2 + 2*m + 24317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + -117 - 0)\/(-1). Let w = -106 + k. Solve x - w = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 756.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11. Suppose x = -3*s + 7*s - 20. Suppose s*r = 4*r. Solve 4*a - 3*a + 2 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 5. Let f be j(5). Which is the closest to f? (a) 0.6 (b) -2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 143374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u - 8. Let y be j(-6). Let t(q) = q - 7. Let w be t(y). Calculate the common denominator of 25\/14 and w\/(-5) - 1036\/40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 3 + 6 - 41\/(-22). Let o = 289\/99 - a. What is the common denominator of 297\/(-24) + 0\/2 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 292977.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/24 + 3*k**3\/2 + k**2. Let p be n(-8). Calculate the highest common factor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 8*i + 1716*i**2 + 413*i**4 + 1225*i**2 + 14*i - 6*i wrt i?\nAnswer: -60*i**2 + 9912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 11*b**2 + 37*b + 3*b**2 + 8 - 4 - 13*b. Let o be h(-12). Suppose s - 52 = -a, 260 = o*s + a + 43. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -510*g - 35. Let r be 1 + 11 + 4 + -18. Let w(v) = 30*v + 2. What is r*l(s) - 35*w(s)?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652859.3 rounded to the nearest ten thousand?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u**5)**7 assuming u is positive.\nAnswer: u**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73665205721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20*14\/70)\/((-44)\/(-6))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*g + 6, 7*g - 4*g - 6 = 0. Find a, given that 11*a**2 - 2*a + 7*a**4 + 3*a**4 - 22*a**3 + 3*a**u = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/426 - -281\/1278. Put 5, y, -1\/7 in increasing order.\nAnswer: -1\/7, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 226 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(405) + -3) + (sqrt(405) - -3*(-1 + sqrt(405)))).\nAnswer: -18*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -13) + -16 + -7 + (10 - 4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 3*b**5 - 5*b**2 + 4*b**2 - 35*b**2 - 3*b**5 + 35*b**2 - 1 + 1 - b**5 + (2*b**3 + 0*b**3 - 3*b**3)*(1 - 1 + 2*b**2).\nAnswer: -9*b**5 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*-1*1*-2. Suppose 2*j + 37 = 4*m + 7*j, 4*j = -2*m + 26. Let l = u + m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1 - 1 + 5*w - 4 - 3*w**2 + 5*w**2. Let t be a(-4). Solve -33 = 5*g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-52)\/(-33). Let w = -294 - -293. Is w > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -845626*r. Let f(a) = -18*a. What is f(j(w))?\nAnswer: 15221268*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 5, 5*o - 2*v + 1 = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 1412 + 3848. Let v = -390 + j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 9. Let g be b(-4). Let h be 516\/g + (-8)\/20. Suppose -6*f + 2*f + 3*q = -136, 0 = -f - 2*q + h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3116 + -3188. Put a, 0.1, 2 in ascending order.\nAnswer: a, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 2*u + 8*w - 12, 3*w = 0. Let k be 195\/(-78) - 19\/(-2). Solve u*p + k = 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22071 divided by -10\nAnswer: -22071\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0 - (5 + -3)). Solve 4*f - 4*z - 28 = 0, f + z + 0 = o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*g**2 + 523*g - 523*g - 563*g**2.\nAnswer: -429*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(6873650\/(-1050)). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (-3 + 2*sqrt(75))**2 + ((1*sqrt(528))\/sqrt(11)*-4)**2).\nAnswer: -300*sqrt(3) + 5405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1370*t**2. Let b(n) = 393*n**2. Give b(d(j)).\nAnswer: 737621700*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176.4 - 221. Let h = 63 + l. What is h rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288)*-1.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 - 91*x - 960 = 0. What is x?\nAnswer: -10, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 19 - (4 - 0) - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16286269099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -3*v**4\/2 - 39*v**3 + 76*v. Find the second derivative of n(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*b + 16 + 10 = 4 - 18, -18*b - 610 = -61*g - 2*b for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.9178 to 0 decimal places.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*6*(-7)\/(-14). Determine x, given that -3*x**2 + x - 3*x**2 + 3*x**w - 2*x**4 + x**4 + 3*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*c - 163 + 163)*(c - 1 - 2*c - 1)*(3 - 2 + 1) + (-4*c**2 + 6*c**2 - 3*c**2)*(-4 + 1 + 1).\nAnswer: 64*c**2 + 124*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.76 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 2*sqrt(475) + (2 + -2*sqrt(19) + sqrt(19) - sqrt(19)) + sqrt(190)\/(6*sqrt(30)\/sqrt(3)))**2.\nAnswer: 158*sqrt(19)\/3 + 118723\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 - 4*d - 3 + 5*d**2 + 24*d**2 + 5*d**2. Let x be p(-2). Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(140)\/(sqrt(112) - sqrt(7))*-6)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2417374 divided by 221\nAnswer: -2417374\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136069233 and 13385?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 2*i**3\/3 - 5*i**2\/2 + 6*i + 3. Let p be v(6). Calculate the highest common factor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -37*p**2 - p**2 - 27*p**2 + 39*p**2. Let z(i) = 2*i**2. Calculate z(h(l)).\nAnswer: 1352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 4)*(-80*m + 36*m + 140*m)*(2*m**2 + 5*m**2 - m**2).\nAnswer: 4608*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5208, 5207, 5206, 5205?\n\"Answer: -z + 5209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.05229us in hours?\nAnswer: 0.000000022514525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 2\/20067, 2\/9 in decreasing order.\nAnswer: 2\/9, 2\/20067, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114 or -14?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g - 1. Suppose 2*v - 7 = -3. Let n be t(v). Let r = -1\/21 - 16\/105. Which is the closest to 1? (a) 1\/6 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711702036?\nAnswer: 2, 3, 19769501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6376884*o**2 + 49161*o + 49161. Let h(g) = 2335*g**2 + 18*g + 18. Determine -6*f(s) + 16387*h(s).\nAnswer: 2341*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1*(-3)\/12. Let k = 53 - 54. Sort 3\/5, k, z in descending order.\nAnswer: 3\/5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21) + 11\/(-12). Let k = 238 - 254. Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1\/6*v**6 - 3*v + 0*v**4 - 2*v**3 + 0*v**5 + 0 + 0*v**2. What is the second derivative of i(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.282337 and 457?\nAnswer: 129.028009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 a when three letters picked without replacement from dwawcaacxcax?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2 + (-7)\/7*-6 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*g**2 - 6 + 20*g - g**2 + 6 to t*g**2 + z + x*g and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:37 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217660 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 12)\/((-2)\/(-116)). Suppose o = 3*v + h, 60 + 42 = 5*v + 3*h. Let s = 208 + -188. Calculate the least common multiple of v and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11744 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -411 + 407.42. Let m = s + 3.59. Which is the second smallest value? (a) 3\/14 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 56*d**2 + 414*d + 150. Give l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*g + 46*g - 175*g = -34755 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (69\/4)\/(17\/952) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from rhjjdqrljrjqljqqhj.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -74. Let d be (-3)\/(-15) + (-44)\/20 + 2. Solve 2*m + d = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517962 and 40918.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, r: 3}. Give prob of sequence rro.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.2, 5, 16, -140.\nAnswer: -140, -7.2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1\/5 (b) -9.488 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.1. Let t = -6.705 + 6.7. Let p = -0.805 - t. What is the closest to h in p, -5, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 2, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*i - 76, 2*z = -3*z + 3*i + 152. Put 3, 0.1, z in decreasing order.\nAnswer: z, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/98 + 6 + -17?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(-3*6\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = 5*q + 10, -3*w = q - 3. Let p be (q\/12)\/(-4 - (-79)\/20). Solve f - 2 = 0, 0*f = p*s + 2*f + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 3*j**2 - 12*j + 22. Let x be r(2). Let o(u) = u**2 + 14*u + 42. What is o(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2. Which is the second smallest value? (a) 2\/3 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408243.\nAnswer: 3, 11, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 18*w + 3*l + 6 = 0, -2*w + 2*l - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 50570.\nAnswer: 50569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -207*i**5\/20 - 51*i**3\/2 + 251*i. Find the second derivative of b(f) wrt f.\nAnswer: -1242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 387*l**2. Let k(q) = -112*q**2. Determine j(k(c)).\nAnswer: 4854528*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3961, 3960, 3959, 3958, 3957?\n\"Answer: -s + 3962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*u**2 + 6*u**2 + 48*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/2, -1.42?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (3 - -16) + -1. Let o = q + -14. Suppose -228 = 2*u - o*u. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 2, -3*k + 548*i = 536*i - 27 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/3*3\/(-2). Let v(f) = 41*f - 83. Let l(j) = -4*j - 18. Let b(r) = -6*l(r) + v(r). Let p(q) = -16*q - 6. Calculate a*p(u) + 6*b(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b + 2 = -12, -19 = n - 5*b. Let j(a) = 189*a - 5. What is the hundreds digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - q - 10. Suppose 2*p - 136*u - 12 = -132*u, -3*p = -4*u - 14. Let c(r) = -4*r**2 - 2*r - 21. Calculate p*c(y) - 5*t(y).\nAnswer: 2*y**2 + y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1368 and 123\/20.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 12*b - 2. Determine d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 401*d + 50*d - 16*d + 69*d.\nAnswer: 512*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127.2 + -127. Let s = 6 - 0. Let d be s*(510\/126 - (1 - -3)). What is the nearest to b in d, -2\/15, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -170.03 and -3210769764.\nAnswer: -3210769934.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183957233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -47 + 7 + -38.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*n - 962 - 298 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s**2 - 9. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18151 - -108523\/6. Let y = l - -521\/8. Calculate the common denominator of y and -53\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 735\/8. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 11*d + 26. Give o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g - 38. Let b be z(7). Let d(r) = -5*r - 6. Let w be d(-5). Let x(f) = 39*f - b*f - w*f. Let a(o) = 11*o. What is x(a(l))?\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + h - 3 = -2, -3*h = -15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443835 is divided by 1104?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 5, -7, 1.\nAnswer: -7, -2, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + -3) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*k**5 - 3*k**4 + 3*k**4 + (2*k - 7*k - 2*k)*(2*k**4 + 0*k**4 - 3*k**4).\nAnswer: -47*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6458, 12745, 19040, 25343, 31654, 37973?\nAnswer: 44300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133404 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 4.10051\nAnswer: -4.10051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 11 = 1, 0 = -3*g + 2*b + 1. Let w = 11 - 7. Let q = w + 0. What is the smallest value in q, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45446755.\nAnswer: 5, 2789, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6423 - 6429. Put m, -0.04, -0.1, 3, 0.9 in descending order.\nAnswer: 3, 0.9, -0.04, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*k - 104, -5*l + 2*k + 46 = -77. Solve -3*t - l = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 + 260. Let h = -32 + 35. Suppose -5*f - 15 = 2*t, -2*f - h*t = 13 + 4. Sort 1, -4, f, j in descending order.\nAnswer: j, 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 1. Let u = -308701 - -308695. Which is the nearest to 2\/7? (a) u (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000011001100110 - 1000011?\nAnswer: -1000000011010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 498 + 18252. Suppose r = -2*c + 2*r + i, -c + 3*r = -4700. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*j**3*u**3 - 427*j**3 - 8*j*u**4 wrt u.\nAnswer: -165*j**3*u**2 - 32*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41005 is divided by 71?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/15*o**2 + 4\/15*o**4 - 8\/15*o**3 + 0*o + 2\/15*o**5 + 0.\nAnswer: 2*o**2*(o - 2)*(o + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37, -0.3, 2\/9, 0, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 281*u = 278*u - 30, -2*u = -3*m + 35. Let y(o) = -o + 1. Calculate the remainder when m is divided by y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 240*d - 756*d - 6*d + 8 to o + p*d and give p.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 m, and 1 l when four letters picked without replacement from lllblbmblllmlmbl.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let l(h) = -4*h**2 - 10*h - 10. Let b = 0 + 41. Let y = b - 45. Let o(n) = -n - 1. Let m(v) = y*l(v) + 40*o(v). What is x(m(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18519+-5.3\nAnswer: -18524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llbbbvvb. Give prob of sequence vvll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -29. Suppose 2*k = -3*i + 17, 3*i + 4*k - z - 13 = 0. Is 14 a factor of (0 + i)*50\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1031 - 1841. Let z = o - -305. Let f = 504.99707 + z. Round f to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) -0.03 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 2*u, 0 = 5*o + 3*u + 92 - 108. Solve -33 + 67*c**2 + 82*c**o - 14*c - 150*c**2 = 0 for c.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22124189707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2\/2 + 4*u - 81. Let r = -1 + 4. Suppose 4 + 2 = -r*i. Calculate n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4464 = -3*b, -5*s - 2*b + 8303 = 887. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, 327\/5, -2, 3\/4, 4, 3, -2\/5?\nAnswer: 327\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/12*d**5 + 0*d**2 + 0*d**4 - 13*d + 0 + 0*d**3. Factor t(g).\nAnswer: -5*g**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 7, k: 1, q: 1, n: 3}. What is prob of sequence neqe?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*b**2*r**3 - 2*b**2*r**2 - 3*b*r**3 + 27*b wrt b?\nAnswer: 110*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + o**2 - 1. Suppose -55057*d + 1944 = -55045*d. Let g(t) = -54*t**3 + 81*t**2 - 81. Calculate d*f(j) - 2*g(j).\nAnswer: -54*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 18*n + 5. Let v be r(-18). Find the third derivative of -10*q**5 + 8*q**v - 7*q**5 - 13*q**2 wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**3 + 33978590*p**2 - 11545438988160*p - 4618181031840.\nAnswer: -5*(p - 679572)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 2*u - 2*u = -2100, -3*x - 153 = -u + 42 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 4. Suppose 3*s = 39*h - 37*h + 8, 3*h - 3*s + 12 = 0. What is the closest to 1 in p, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*x + 1512 = -3115*x + 1526*x + 212 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -29*h + 14. What is the units digit of x(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 41, -35, -179, -397, -695?\n\"Answer: -j**3 - 25*j**2 + 68*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 4. Let m be k(-8). Suppose 5*u + 4 = 9*u. Solve 0 = -m*v - 5 + u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -244. Is b less than 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**3 - 2*t - 1. Give m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 - 3380528*d**2\/7 + 5795160*d - 121698144\/7 = 0 for d.\nAnswer: 6, 1690252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 6 - 13. Let s be (9\/(-2) + 7)*8\/10. Solve 5*o + 26 = 3*v, d = s*v + 3*o + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3 + 14 = 4*k, -l = -4*k + 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z, -5*z = -3*h + 27. Let f = h + -6. Solve f*k + 1 = 3*w - k, 0 = -w - k - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 4*s**4 - 36*s**3 - 64*s**2 - 46*s - 12.\nAnswer: 2*(s - 6)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6246 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12*q + 15. Suppose r = -2 + 11. What is the remainder when s(-6) is divided by (108\/20)\/(r\/30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/17 + 5386156*p\/17 + 43089376\/17.\nAnswer: -2*(p - 2693086)*(p + 8)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2541 and 5742?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 50*q - 885. Let i be p(56). Which is the third biggest value? (a) -1 (b) i (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.98 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/3, -7, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7056251036.99999878 + -7056250971. Let v = 66 - r. Round v to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(100\/30) + (0 - -5). Find the third derivative of 1444*u**3 + h*u + u**2 - 1505*u**3 + u**2 wrt u.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3)*(-4)\/(-6). Let j = -366.3 + 388. Let g = -21.7 + j. Which is the nearest to k? (a) 3 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/20 - 5*h**4\/6 + 5*h**3\/3 - 9*h**2\/2 - 10*h + 27. Let c be 1 + (-18)\/(1*-2). List the prime factors of m(c).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22989 * -0.2.\nAnswer: -4597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/90 and 17\/117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/6 - 59*r\/3 - 39\/2 = 0?\nAnswer: -117, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.4 - 8. Let h = -27 + 8. Let d = x + h. Which is the nearest to 3? (a) 5 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24799, -44681, -64563, -84445, -104327, -124209?\n\"Answer: -19882*m - 4917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) -2 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + 0.53. Let w = -39 - -40.9. Let a = w + -2. What is the closest to -2\/7 in m, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 3.07\nAnswer: 33.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawwawwwaawwwawaww. What is prob of sequence wa?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 239270629 to the power of 1\/2, to the nearest integer?\nAnswer: 15468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 0*x - 4*x + 4 + x - 4 - 2*x + 0 + 0 + (-2 + 0 + 0)*(x - 2 + 2) - 5*x + 2*x + 0*x - x + x + 3*x - 8 + 8 + 10*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 times 0.5\nAnswer: 3.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 116 - 37 = 0. Let v = y - 26. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89158503 by 29719501.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 28466029.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 + -264. Solve -20 = 4*o - t*h, 3*o - 4*h = -2*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (41 - 16 - -70930) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4129017 is divided by 825803.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5 + 6 + 103 + -76.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 290, 183, 88, 5, -66?\n\"Answer: 6*m**2 - 125*m + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -16. Suppose 4*j + k = m, 3*j + 5 - 3 = 4*k. Solve j*f = 6*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjyjyyjyjyyy. What is prob of sequence yjjy?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 24. What is the units digit of z + -2 + 42\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0830067 and -18.3.\nAnswer: 1.51902261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 9. Suppose -x + 29 = g - 3*x, 187 = 5*g + d*x. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46\/9 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5074 - 5077. Let g be (-45)\/27 + 2\/(-6). Sort o, 6, 1, g.\nAnswer: o, g, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + 80\/15. Suppose -15 = -5*x - 3*d, -o*x = -3*d - 8 - 7. What is the greatest common divisor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 507*f + 4394.\nAnswer: (f - 13)**2*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2 = -8 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a23 (base 15) to base 9.\nAnswer: -3116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90941.1001 and -25.\nAnswer: 90916.1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - m = 3, 4*d - 5*m = 6 + 15. Let f(w) be the second derivative of 0*w**2 + 4*w + 0 - 1\/6*w**3. Determine f(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let l = -56.62 + 4.82. Let s = -52 - l. Which is the third smallest value? (a) 0.3 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 794260 by 755.\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*g**4 + 9245*g**3 + 40288.\nAnswer: 28*g**3 + 27735*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*l**2 - 8\/11*l.\nAnswer: -2*l*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -31589121434?\nAnswer: -31589121430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3645 is divided by 327?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43269636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*s + 201*s - 1020*s - 1 - 178*s - 175*s.\nAnswer: -1304*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 + 0*c**2 + (2*c**2 - 2*c**2 + 2*c**2)*(-3 + 1 + 3) + 79*c**2 + 161 - 161)*(-c**2 - 2*c**2 + c**2).\nAnswer: -160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Solve f - 2*c - 8 = 0, c - 2 = 4*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-12) + (-1)\/(-3). Let s(d) = b*d**3 - 2*d**2 - 5*d**3 - 7*d + 0*d**3 + 6*d. Suppose 3*a = 2*r + r - 12, -4*a + 2 = 2*r. Calculate s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and -107\/22428.\nAnswer: 89712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4 = -u, -p + 5*u = 18. Let g(c) = 31 - 39 + 4*c**2 - c**3 + p*c + 0*c**3 + 0*c. What are the prime factors of g(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -102, -136, -196, -288?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1279 = 3*m, 3*m - 4*m + 433 = 2*f. Suppose -2*z - 2*k + 18 = -0*z, -5*z = -5*k - 45. Suppose 12*o = z*o + m. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {u: 1, t: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52.6 and 3172706274.87.\nAnswer: 3172706222.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2)*2 + 7. What is h in -k*h**4 + 5*h**2 + 38*h**3 - 68*h**2 - 3*h**2 + 18*h - h**4 = 0?\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -10120110?\nAnswer: 10112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -20965.9129 to the nearest integer.\nAnswer: -20966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -42 - (-7)\/7. Let k be (-8 - -6)\/((-2)\/d). Let f = -42 + k. Calculate the lowest common multiple of 11 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Suppose -6*q + 7*q - 5 = d. Let h = 0.3 - 0.2. What is the closest to 0.1 in q, h, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(180) - (sqrt(180)*-1 + sqrt(180)))\/sqrt(6) + 2*(sqrt(120)\/sqrt(4) - sqrt(30))))\/((-5*-2*sqrt(72))\/(sqrt(192)*6)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*3)\/sqrt(10).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*w - 5*f - 64, 4*w = -3*f + 64. Solve 2*h + 10 = w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + 6.4. Let t = y - -7. Let s = 11 - t. Put s, 2, -2 in increasing order.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - -1) + (-5 - -3). List the prime factors of 8\/b + 330\/11.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + -122?\nAnswer: -ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36939001493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 11*p + 2. Let g be 61\/(-7) + 4\/(-14). Let k be (-6)\/g*21\/2. Suppose 0 = -x + k - 1. Let a(z) = z**2 - 5*z + 1. Calculate x*y(q) - 13*a(q).\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = 2*h, 0 = 2*h - 0*x + 3*x - 24. What is the lowest common multiple of (2\/(-2))\/((-3)\/h) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -32*t - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 16 - 2*w**3 - w**3)*(-4*w - 6*w + 0*w) in the form z*w**4 + j*w**3 + v*w**2 + a + n*w and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 3*z**2 + 3*z + 46. Let p(q) = 5*q**3 - 7*q**2 - 7*q - 91. Let n(d) = -7*l(d) - 3*p(d). Differentiate n(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*w - 10 = 0, -4*y + 13 = y + 2*w. 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: Find the second derivative of -185*m**3 - 1673*m**2 - 856413*m.\nAnswer: -1110*m - 3346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.1, 4\/7, 7.11, -0.4, -4, -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47724 by -6.\nAnswer: 7954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -6*6\/9. Let n = a + 2. Put -1, n, 2 in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7170*s**3 - 352*s**2 + 12 wrt s?\nAnswer: -43020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 456213606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 28\/3*s + 16\/3.\nAnswer: 2*(s + 4)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26695*r - 26092*r + 41607 = 0 for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 97817040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b. Let p = 7 - 5. Let m(x) = -4*x**2. Let k(t) = 9*t**2. Let w(o) = p*k(o) + 5*m(o). Determine w(q(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73835 divided by -1531?\nAnswer: 73835\/1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48300.16 litres to millilitres.\nAnswer: 48300160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1180506*b**3 + 262*b + 994?\nAnswer: -7083036*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -26*f + 17. Let r(n) = -9*n + 6. Determine -17*r(b) + 6*s(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-294)\/35)\/((-6)\/120). What is the highest common factor of c and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365893\/18 - 20333. Calculate the common denominator of t and (0 - 2) + -1 + 1556\/336.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620815487.\nAnswer: 3, 919, 587891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/25))**23\/((n**(-10\/9)*n*n)\/n)**(-50))**(32\/7) assuming n is positive.\nAnswer: n**(112352\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + t**2 - 3. Let q(f) = -32*f**2 + 4*f**3 + 3*f**3 - 4*f**3 + 2 - 33*f**2 + 64*f**2. Give 4*i(x) + 6*q(x).\nAnswer: 6*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111010000101001001011 (base 2) to base 4.\nAnswer: -33100221023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(144) - sqrt(3)) + (sqrt(198)\/sqrt(11))\/sqrt(6) + sqrt(3) + sqrt(147) + sqrt(3) + 0 + sqrt(27)*3 + 1.\nAnswer: 1 + 73*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111121211 + 12?\nAnswer: 12111122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4096416516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 360628 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: Let d(i) = -2*i**3 - 13 + 8 - 1 + 3*i**3 + 13*i**2. Give d(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-24)*(6 - 0) - 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*l - 87*l = -629*l + 88837 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3961.068l to millilitres.\nAnswer: 3961068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 2*t, -3162*a = -3161*a - t. Is -1\/62172 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f - 452*f - 94*f - 190*f = 103740 for f.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 e when three letters picked without replacement from {w: 2, e: 1, v: 1, s: 1, u: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(0 + (-2)\/3). Suppose -m*x = x - 84. Let k be (-2)\/(3*(-2)\/12). Solve u - k*z = 2*u + 22, -3*u - x = 3*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 38\/13, 538?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.254094 nanograms in kilograms?\nAnswer: 0.000000000001254094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330291 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2) + (0 - -1) + 0. Suppose -k = a*n - 114091, 2*n - 3*k - 38047 = n. Suppose -148032 + n = 2*y. Round y to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1649981531 to the nearest integer?\nAnswer: 40620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 + 5*h**3\/6 + 3*h. Let z be f(5). Solve v + 5 = 0, z = y + 2*v + 15 - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(17)) + 3.\nAnswer: -6*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + 18 - -141 - -64.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bb + -16?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + 54 + -32)*(-3 - 45\/(-16))*-4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 6 = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 - 5*n**4 + (-4*n**3 + 3*n**3 + 3*n**3)*(-1 + 1 + 2*n) + n**4 - 4*n**3 - 2*n**3 + 7*n**3.\nAnswer: 3*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 1)*21\/28. Suppose -18*p = -19*p + b. Let h be -1 + (6\/(-9) - -1)*p. Solve -4*r - 2*y - h*y - 16 = 0, 4*y = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57200 and 26000?\nAnswer: 286000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 398*c**7\/7 - c**3\/3 + 48*c + 316. What is the third derivative of f(b) wrt b?\nAnswer: 47760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*c - c**3 - 269*c - 1 + 148*c.\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44854 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025*o = 2020*o - 3*j - 10, 0 = -4*o + 5*j - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/6 - n**2 - n. Let m be -2 + 3*1\/3. Let q(h) = 11. Let g(r) = 67. Let u(a) = g(a) - 6*q(a). Give m*p(x) - u(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.285 times 94\nAnswer: -26.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 4511 = 16805. Suppose -5*f = -3*o - x, -f + 812 = f - 5*o. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129.14 - -0.14. Let o = 129.116 + m. Round o to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -66, -1 in ascending order.\nAnswer: -66, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/6)\/7*3)\/(-35 - -37).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*h - 2 + h + 2*h.\nAnswer: -3*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14341*x**5 + 30463*x wrt x.\nAnswer: 286820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 1, g: 2, b: 4}. What is prob of sequence ggb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/28)\/(229\/1832*4\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)*g\/(g*g\/g**(-14))*g assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 267 and 285419383.8.\nAnswer: 285419650.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 9*a + 6. Let b be (6\/(-10))\/((-4)\/20). Let l(t) = -t**2. Let j(h) = b*l(h) - d(h). What are the prime factors of j(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 664*a**2 - 845*a + 5046. What is the tens digit of y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l + 211. Let d(o) = 2*o - 54. Let c(k) = 6*d(k) + u(k). Give c(33).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1278, -25.28 in descending order.\nAnswer: 1278, -3, -25.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 1}. What is prob of sequence fvf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 - c**3 - c**3 + (2*c**2 - 7*c**2 + c**2)*(-2*c + c - 6*c).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 - 28*x + 24 = 0. Calculate x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-1 + 2)) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/(-1368)*(-99)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0019 - -0.0981. What is the nearest to 0.07 in 0, l, -0.09?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 473, 963 in decreasing order.\nAnswer: 963, 473, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f**4 + 25*f**4 - f + 132*f**3 - 134*f**3)*(-1 - 1 + 1)*(-2 + 2 + 3) to o*f**3 + l*f**4 + y*f**2 + u*f + n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/11 (b) -1 (c) -2\/11 (d) -1\/6 (e) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 120 = 7*f. Suppose 5112 = 4*r - m, -2*m + f = -5*m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-14) - (-8)\/14. Sort -11, w, -3\/2 in decreasing order.\nAnswer: w, -3\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 322*b\/9 - 3200.\nAnswer: 2*(b - 64)*(b + 225)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*d**2 - 1292*d**2 - 773*d**2 - 3044*d**2)*(-d**2 + 2*d**2 + 0*d**2).\nAnswer: -5286*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.25313202 rounded to one decimal place?\nAnswer: -33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 17*c**2 + 9*c + 3. What is b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let d be (0 + 2)\/(u\/6). Put -5, -1, d in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -1034*q + 1030*q - 2*l - 20, -q = -556*l - 2217 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3195 + 4399. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127320397?\nAnswer: 2269, 56113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -17 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7430000 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*m - 2*m - 11, -m = -5. Suppose 3*v + v = -2*c - 4, -c = -5*v - 19. Differentiate -5*q**c + q**4 + 4 + 7 - z*q**4 wrt q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/d)\/(d*d**(5\/7))*d**(-5\/4)*d**6*d assuming d is positive.\nAnswer: d**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585738.\nAnswer: 2, 137, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43259 - 43259.5. Let m = 0.3 + 0.2. Let a = 2 + 2. What is the smallest value in -3, m, a, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8733939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7650 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*n**3 + 2 - 37*n**3 + 9 + 5*n**3.\nAnswer: -133*n**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by (14\/(-6))\/((-1554)\/13320).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585.\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14581183 + -14581274.00087. Let z = 91.207 - 0.207. Let s = z + n. What is s rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8908 is divided by 758?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 0 + 0 + (0*o - o + 0*o)*(-12*o**4 - 4*o**4 + 4*o**4) + (2*o - 2*o - o)*(-2*o**4 - 2*o**4 + 2*o**4).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 336*t**2 - 14424*t + 27520.\nAnswer: -2*(t - 86)*(t - 80)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25577130.\nAnswer: 2, 3, 5, 29, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 8 + 8 - 16.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970640263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2159 + -2139. Solve -g = 5*y - 9*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2. Let y(x) = -22*x**2 + x. Let j(b) = -17*o(b) + 6*y(b). What is the second derivative of j(k) wrt k?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 2197*z**2 - 4486*z**2 + 3 + 1905*z**2.\nAnswer: -384*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 1466?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.043 in 0.6, -263, 7, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*t - 0*t + 106, -t - 40 = p. Let k = 38 + t. Suppose -2*m - 2*d + 22 = -k*d, -3*d - 31 = -5*m. Let c(o) = -o + 5. Give c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005658 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 plus 25507464947?\nAnswer: 25507464873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15584769 = -2*r - 2784769. Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5467482149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334326731 to the power of 1\/2, to the nearest integer?\nAnswer: 36528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p = -5*r + 10, 0 = -4*r - 2*p + 8. Solve 0 = -5*w + j - 13, -2*w + r*j = -0*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33893*l = 33879*l - 616. Is l < -1636\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 4*p + 3. Calculate the remainder when 103 is divided by r(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1\/4))**28*a**(-1\/3)\/(a**(4\/7)*a))**(-3\/20))**39 assuming a is positive.\nAnswer: a**(-5421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41163*h**3 + 3622307*h**2 - 79688312*h - 71632.\nAnswer: -(h - 44)**2*(41163*h + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**8\/112 - o**4\/8 + 4*o**2 - 2*o. Let k(p) be the first derivative of f(p). What is the second derivative of k(g) wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 54*f - 243.\nAnswer: -3*(f - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = 101*r - 213 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109621 or 109475?\nAnswer: 109621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29234 * -4\nAnswer: -116936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/60 - (-2 + -1 + 1). Let n = 0.04 + -0.07. Let w = 4.03 + n. Which is the nearest to 0.1? (a) -4 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 6*w + 3*w to b*w + g and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -7 - ((0 - -4) + (1 - 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 22. What is the nearest to 4 in y, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 11*f + 49, 4*u + 51*f - 1 = 46*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 161.\nAnswer: 67\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 2*d**3 + 5*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10463532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 467*r - 3. Let m(s) = -2335*s + 16. Calculate 11*j(x) + 2*m(x).\nAnswer: 467*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z - 12. Let j(c) = -c + 2. Let w(k) = 6*j(k) + y(k). Let m(p) = 32*p. Let n(v) = -160*v. Let t(f) = -16*m(f) - 3*n(f). Determine t(w(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o + 2522 - 3572 = -5*g, -5*g = -2*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + p = 235, 162 = -2*r - 0*r - 2*p. Let v = 88 + r. Let c be 25\/(v + -4) + -1. Let y(h) = -h**2 + 3*h - 2. Calculate y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-28)*(-2)\/3*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -16. Let x = 5 - v. Let k = 1228\/35 - 174\/5. Are k and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3958\/17 + 604153\/153. Let g(l) = 743*l + 6. Let w be g(-5). Let u = j + w. Calculate the common denominator of 19\/2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*u - 2*y = 148*u + 26, 2*y - 16 = -2*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*d = d + 5, 3*q + 3*d + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*-2*((sqrt(1584) + -2 + sqrt(1584)*2)**2 + -2)*4.\nAnswer: -1152*sqrt(11) + 114064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 98*h**2 + 28*h + 77. What is the units digit of i(33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -635 - -4000. Suppose 8*u = 1299 + m. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 26 - (0 + (13 - 0))) + 8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5020428 is divided by 283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7544772431 and -83?\nAnswer: 7544772514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2199 divided by 19.\nAnswer: -2199\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143\/16 + 189\/32. What is the common denominator of r and -5\/14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 16 = -11*v, v = 3*a + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -6. Let q be (0 - (-6)\/(-4))*x. What is the highest common factor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 67*o - 4*o**2 - 3 - 71*o - 2*o**3 + 3*o**3. Calculate a(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 - 216. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4615.\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*x + 4*y - 41, 40 = 4*x + 4*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 35 = 0, -136*u + 135*u = 4*z - 47743. List the prime factors of z.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1681.5 - -1681. What is the second smallest value in 4, -73, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, 17, 5, 78.2, 3\/5.\nAnswer: -4, 3\/5, 5, 17, 20, 78.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -316046, -316048, -316050?\n\"Answer: -2*h - 316044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 56. Put 5, 9, u in descending order.\nAnswer: 9, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 291400, 582790, 874180, 1165570?\n\"Answer: 291390*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 377. Calculate the common denominator of 83\/10 and ((-27)\/n)\/(6 - (2 + -3)).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*y - 15, -3*r + 45 = -5*y - 0*r. Let i be -2*(3 - 1)*1. Let o = i - y. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19315 + -18422. Calculate the smallest common multiple of c and 95.\nAnswer: 4465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.013 + -29.013. Let b = -310 + 281.3. Let q = b - l. Sort -2\/3, q, 5 in decreasing order.\nAnswer: 5, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 146557.6 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*j - 51, -2*p - j - j = -30. Suppose 35 = 12*h - 13. Calculate the least common multiple of h and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65, 57, 45, 29, 9, -15?\n\"Answer: -2*m**2 - 2*m + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 14.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -171. What is the smallest common multiple of 56 and (d\/45 + (-7)\/(-6))*112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 504 in -3\/7, -38, -597?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - 1*sqrt(832) - 2*(sqrt(13) + -1).\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 + -417. Put -181, -3, c in decreasing order.\nAnswer: c, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/2 + 2067*m**3\/2 + 12377*m**2\/2 + 22677*m\/2 + 6183 = 0. Calculate m.\nAnswer: -2061, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1907*h**3 - 2568*h**3 + 4482*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 4, v: 6, m: 2}. What is prob of sequence vmll?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from ooooooojooooo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 70. What is the smallest common multiple of 96 and v(-3)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 30*t**2 + 124*t - 2766. Calculate f(29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-34)*129*(2\/15)\/(6\/(-30))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15205 times -0.03363\nAnswer: -511.34415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*n - n = -4*n - 37, 94*n + 565 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -11 (b) 1\/4 (c) 0.5 (d) 0.01 (e) 3\/4 (f) 352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 396 = 2*m. Suppose m*h = 32*h + 299. What are the prime factors of h?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372\/3173 + -2\/167. Let w = 0.604 - 0.208. Let h = w - -0.004. Which is the nearest to 2? (a) d (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(18\/(-28) - (897\/91 + -9)). Let l(p) be the first derivative of 4 - b*p**3 + 2*p - p**2. Give l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 15*k**3 - 495*k**3.\nAnswer: -510*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 24 = 4*b. Let m = 6 + -3. Let z = 2 - m. Let q(s) = s**3 - s**2 + 1. Let a(r) = -5*r**3 + 6*r**2 - 6. Give b*q(w) + z*a(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 1 - 9. Suppose 4*d - b = 0, 4*l - 3 - 2 = -d. Suppose -3*k = 2*k - 5*p, -k = 5*p - 18. Sort k, l, -1 in decreasing order.\nAnswer: k, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74.8 + 75. Let m = u - 0.07. Round m to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5409512*o**2 - 15539449*o?\nAnswer: 10819024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 2 v when four letters picked without replacement from {d: 3, j: 1, v: 4, f: 6}.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 610457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36721 is divided by 105?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/4 + 7*k**3\/3 - k**2 - 6*k - 1. Let o be g(-7). What are the prime factors of (-3)\/12 - (-66)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1945 divided by -1.\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 227*p**2 + 2*p - 1250 + 1250.\nAnswer: 212*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(2299) - (sqrt(19) - -2*sqrt(19)*5)**2*-2.\nAnswer: -11*sqrt(19) + 4593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -165. Suppose -4*j + r - 14 = -7*j, -q = -4*j + r. Solve 20 = -j*v + 3*n - 2*n, -3*v - n - 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - w = -6, 4*o + 4*w - 9 - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 604485 a multiple of 1093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6 = 3*c, -h + 17 = 4*c. Is h less than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q*q**(3\/2))\/(((q\/q**(-1\/2))\/q)\/q**(-7\/5)) assuming q is positive.\nAnswer: q**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7158 - -7157.8. What is the closest to 46\/5 in 1\/6, c, 2\/9, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 3\/4 (b) 0.5 (c) -3\/94 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 111 + 111 - 233. Let j(d) = -3*d - 4. What is -11*j(c) + 4*y(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 3*j - 6. Let b be z(2). Suppose -5*k - u + 1501 = b, 0*k + k - 2*u = 298. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15974, 15978, 15982, 15986, 15990, 15994?\nAnswer: 15998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:51 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/2 - 2*u**3 - 2*u**2 + 1776. Factor i(v).\nAnswer: -2*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/44, -4\/7, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*q = -5 + 14, 5*j - 5*q = 25. Let y(m) = m. Let d(g) = -5*g. Let z(l) = j*d(l) + 33*y(l). Let r(t) = 3*t. Calculate r(z(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**3 + 2*k**2 + 3*k + 2. Let s be n(-1). Suppose 0 = p - 3 - s. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 150 = 14*z. Suppose 3*y + z = -18. Let o = y - -18. Solve 4*i - i - 32 = -4*l, o*i = -3*l + 23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**(-47)\/((u*u**(1\/2))\/((u\/u**(-3))\/u)))\/(u*u**0*u*u**6\/u*(u*u\/u**6*u)\/(u\/u**3)) assuming u is positive.\nAnswer: u**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -3)*100\/75. Let w be d + 7 - ((5 - 2) + 0). Suppose -3*z + 3*h + 251 = -112, w = h - 4. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((1 + sqrt(300))**2 + sqrt(300)) + -4 - ((2 + sqrt(75) + (sqrt(3) - -3*sqrt(3)*1))**2 + -2).\nAnswer: 144*sqrt(3) + 1554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -n. Let j = 6 - n. Let h(g) = -1 + 3 - j. Let p(q) = -q - 8. Calculate 14*h(w) + 2*p(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 143*k**3 - 2*k**2 + k. Let b be r(1). Suppose 3*q = 5*o + b, -8*q + 4*q - 5*o = -131. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(7\/5)*a)*a**(-4\/13))\/(a**(-2\/11))**31)**(-10) assuming a is positive.\nAnswer: a**(-5618\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4032 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/1 + 0\/(-21). Suppose -8*x + 7*x = f. Let l(q) be the second derivative of q**3\/6 - q**2 + 2*q. Give l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-3))\/(-1)*-2. Let m = -12 + 20. Let u = -13 + m. Which is the third biggest value? (a) 2\/9 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + (sqrt(11)*1)**2*6*-1 - (1*sqrt(33)\/sqrt(3) + 1 + (sqrt(44))**2)))*-5.\nAnswer: 5*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 96.49869t?\nAnswer: 96498690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90391.3 rounded to the nearest 100?\nAnswer: -90400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2347209 (c) 0.5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, -71, -34\/341, -0.1.\nAnswer: -71, -0.1, -34\/341, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -4 (c) 23 (d) -0.6 (e) 5 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 2 + 5 - 1. Let a be u(0). What is the second derivative of -q + 0*q**2 - q**3 + 0*q**a wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*c - 406*c = 2, 19*d - 14 = 5*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 983\/229 - 26570719\/6189870. What is the common denominator of c and 87\/2?\nAnswer: 27030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 4*r - 36 = 0, 0 = 78*o - 80*o - r + 12 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 17 = -4*v + 10*s, -2*v - 2*s = 16. Let z(c) = -8*c**3 + 5*c**2 + 5. Let o(j) = 8*j**3 - 4*j**2 - 4. Determine v*o(l) - 4*z(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18))\/(-4*(-30)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37788490?\nAnswer: 2, 5, 313, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -956 - -938. Calculate the common denominator of -2 + 8 - 300\/96 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 3, t: 1, h: 1, z: 2}. What is prob of picking 1 c and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2 - -2)\/((-33)\/(-264))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/15 - 7*w**4\/6 - 38*w**3\/9 + 8*w**2 - 528*w. Find h, given that m(h) = 0.\nAnswer: -2, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z + 8. Suppose -11 + 29 = 3*q. Let x be g(q). Let r = -77 - x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3186*q**2 + 8 + 33*q - 33*q - 2580*q**2 - 13832*q**2.\nAnswer: -19598*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -25, -10.68, 4 in decreasing order.\nAnswer: 4, -10.68, -25, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 157, 307, 467, 643, 841, 1067, 1327, 1627?\n\"Answer: q**3 - q**2 + 146*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6100.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8260 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7416 and 29133.\nAnswer: 24005592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-168) + (7 - 187070\/(-21)) - 6. What is the highest common divisor of w and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -472, -646, -750, -760, -652?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k*v**3 + k*v**2*w**2 + 6*k*v**2*w + k*w**2 - 287*v**3*w**2 + v**3*w - 92*v**3 + 235*v**2*w**2 - 9 wrt v.\nAnswer: 54*k - 1722*w**2 + 6*w - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -15, -30, 0, -1\/11?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uorpjjjujuo. What is prob of sequence urj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7920933\/164 - -48298. What is the common denominator of 46\/9 and o?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 2 in increasing order.\nAnswer: -28, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {i: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**2*v**3 - d**2*v**2 - 12631*d**2 - 1019*d*v**3 + 15*v**3 - 3*v**2 wrt v?\nAnswer: -42*d**2 - 6114*d + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 5. What is the greatest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26244 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345*j**2 + 1519*j**2 - 2846*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660.3125 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322497 (base 11) to base 5.\nAnswer: 113000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - a - 21. Let t(p) = p**2 + p. Determine t(r) - w(r).\nAnswer: -5*r**2 + 2*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**5 + 27*n**2\/2 - 34. What is the second derivative of l(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1130\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*((-51)\/12 + 2). Calculate the remainder when ((-3)\/a)\/(5\/1215) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.62*-158.392\nAnswer: 256.59504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.5 + 8. Suppose 28*f - 25*f - 43 = 8. What is the nearest to f in 2\/11, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + (4 + -10 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -5, 1\/5, 0.4, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + a**2\/3.\nAnswer: -a**2*(6*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -614 (b) 1\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 11*t**2 + 3. Let b be r(-11). Let i(s) = s**2 - 2*s. Let m be i(b). Put -5, m, 1 in descending order.\nAnswer: m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 + -10) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76270 and 17806.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**7\/112 + 3*z**6\/40 + 3*z**5\/40 - 3*z**4\/16 - 5*z**3\/16 - 451*z. Let l(q) = 0. Calculate q.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {n: 3, t: 1, e: 2, h: 5, j: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57441 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 + 3 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11411*s + 131013 + 44019 = -9728*s for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -351.7 in -6, 3\/1096, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -7 - -62 - 51.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1889964 and -117\/3290?\nAnswer: 66148740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -890.47?\nAnswer: 890.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3398 = -8*t - 146. Which is bigger: t or -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846837169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 8188*f - 148049. Determine c(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 13 = -4*k + 5*z, 0 = -z - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2\/2 + 3*o - 2. Let v be u(3). Solve 4*l = 3*f - 32, 3*l + v*l + 15 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -376*f**2 - f**3 - 4154*f**5 + 2114*f**5 + 2307*f**5 + 1605*f**2 wrt f?\nAnswer: 16020*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5\/541 in decreasing order.\nAnswer: 7, 5\/541, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3114\/90 + (1 - 6\/10). Calculate the highest common divisor of b and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -673813 times -50\nAnswer: 33690650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -1740.1167916.\nAnswer: -1739.7167916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5 - 13. Let h be (2\/(-3))\/(b\/(-81)). Suppose -2*k - h*k = -3*y + 285, -2*k = -4*y + 394. What is the highest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, m: 1, k: 1, n: 1}. Give prob of sequence gko.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1*o**(-1\/7)*(o**(-1\/3))**(-13\/3) assuming o is positive.\nAnswer: o**(145\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) + (-186)\/(-9). Let v = q - 27. What are the prime factors of v\/(-4)*(-4 + 18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**3*x + 4*k**3 + 141331*k**2*x + k**2 - 182*k + 41524*x wrt k?\nAnswer: 18*k*x + 24*k + 282662*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 455801 at least 455802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 9:20 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 2:04 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385564522.\nAnswer: 2, 2192782261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.9, -1\/6, 5, 0, -15.86, -2\/19, -1\/2?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (513\/(-216))\/(1\/(-8)*(-12)\/(-12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.6, 0.9 in ascending order.\nAnswer: -0.5, 0.6, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 18*w + 11 - 3 + 23*w.\nAnswer: -6*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -x + 2, -3*m + x + 12 = -2*x. Suppose -m*j + 727 = -5*v, -2*j + 4*v + 281 + 203 = 0. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88)\/sqrt(512))**2 - sqrt(66)\/sqrt(6)*4 - (4*(1*sqrt(132) + sqrt(132)))\/((2*sqrt(120))\/sqrt(10))).\nAnswer: -55\/64 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-2 + (-2 - -7 - -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 723076*u - 5*u**2 - 6 + 2 - 4*u**2.\nAnswer: -4*u**2 - 723076*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12 - 25\/(-70). Factor -o*n + 4\/7 + 2\/7*n**2.\nAnswer: 2*(n - 2)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20933, 83900, 188845, 335768, 524669, 755548?\nAnswer: 1028405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, z: 3, c: 9}. Give prob of sequence czc.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-428)\/60 + -7 + 14)\/(6\/(-70)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*j - 15 - 2 = -6, -1739*m - 5*j = -1724*m - j + 34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.1928 - 0.017\nAnswer: 1.1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 - 24\/(-3). Suppose p = r + 1. Suppose f + 40 = r*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-27) - (-21025)\/1044)*12. Is 233 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - 2*y**2)*(1 - 1 - 2*y) - 2*y**3 - 12*y**3 + 3*y**3 + (-2*y**3 + 1 - 1)*(10 - 4 - 1) + 4 - 4 - 2*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -5*x - 4*h, -x + 31*h - 28*h + 140 = 0. What is the remainder when 477 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1\/20*u**5 + 4\/3*u**3 - u - 5\/12*u**4 + 0 - 2*u**2. Factor z(q).\nAnswer: (q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 60*j + 7. Suppose -18*n = -17*n + 2, -13 = 5*f + 4*n. Let s(u) = -u. Let i(g) = f*s(g) + o(g). What is the first derivative of i(x) wrt x?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-312)\/(-1472) + 9\/(-72). What is the nearest to -0.1 in -3, -2, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270.52 * -13.6\nAnswer: -3679.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Suppose -3*r - 711 = 3*w, 0 = 8*r - 11*r + w - 707. Let a be d\/(-7) - r\/28. What is the greatest common divisor of a and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 5*q + 1. Give s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 9*j**2 + 5*j + 15. What is h(4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-716)*((-10912)\/(-80) - 138).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*k + 3, 3*k - 32 = 8*k - 4*z. Let p = k + 7. What is the units digit of (-30)\/(-9) - (-2)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/119751750 and -101\/335610.\nAnswer: 1317269250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*s - 4, 3 = -2*c - s + 4. Suppose 2*z - 5 = -c. Solve i - z = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208919\/45 + -4644. Calculate the common denominator of -28\/255 and u.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g + 602*g**4 + 611*g**4 - 1819*g**4 + 7*g**3 - 3 + 611*g**4 to the form a*g**2 + z*g + q*g**4 + y + s*g**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240965*f + 2*f**2 - 242294*f + 483259*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.4803mg in grams?\nAnswer: 0.8174803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1916.00823 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 24219*c**2 - 11*c - 33. Let i(g) = -4844*g**2 + 2*g + 6. Determine 22*i(b) + 4*x(b).\nAnswer: -9692*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-5\/2))\/n**(5\/4))\/((n*n**(1\/3)*n)\/n*(n*n**1)\/n))\/(n**(-1)*n*n*n**6*n*(n*n**2)**(1\/57)) assuming n is positive.\nAnswer: n**(-2995\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.77 - -89.7. Let n = 5.423 + f. Round n to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32465 and 77773154?\nAnswer: 6493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7044069?\nAnswer: 3, 17, 59, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2051 + -2004?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emjeeymmdjsmjj. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47189 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.2 + -7. Let z = h + 0.5. Which is the smallest value? (a) 2\/5 (b) z (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 2. Let c be d(2). Sort c, 0, 5 in ascending order.\nAnswer: 0, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 188, 1966, 5334, 10292, 16840, 24978, 34706?\n\"Answer: 795*c**2 - 607*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/7 - 52*c**4\/7 + 316*c**3\/7 + 160*c**2\/7 - 118*c - 620\/7 = 0.\nAnswer: -31, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8823 + 23?\nAnswer: 8846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 26*p**6\/15 - p**5\/30 - p**4\/24 + p**3\/3 + 13*p**2. Let x be u(1). Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - -10.18. Let q = v + -9.8. Which is the closest to 1\/4? (a) 1\/2 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -483\/4 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2942 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*l + 66, 3*l + l + 3*q = 132. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 4, -1, 88, -19?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(57)\/sqrt(3) + sqrt(19))*4 - (-2 + sqrt(931) + 1 + sqrt(931))) + (sqrt(304)\/(sqrt(32)\/sqrt(4)))\/(sqrt(40)\/sqrt(5)).\nAnswer: -75*sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**4*n**2 + 2362*g**4*n - 7468*g - 161*n**2 wrt g?\nAnswer: -72*g**2*n**2 + 28344*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 25464*x - 5081076 = 0. What is x?\nAnswer: -25662, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r + 120. Let g = r - -29. Suppose -7*m + 2*w = -3*m - 52, g*m - w = 68. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/16*2 + (-3348)\/96 + 30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - u + 2. Let i(a) = a**3 + a**2 - a + 2. Calculate f(l) - i(l).\nAnswer: -l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 116. Solve -3*p = -h*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - r + 3 + 1, -2*r = 5*p - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {m: 2, h: 4, k: 5, q: 1, s: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 - 548. Let s(n) be the second derivative of -n**4\/6 - 947*n + 1. Give s(b(g)).\nAnswer: -32*g**4 + 8768*g**2 - 600608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1854 times -6\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255*w - 17*w**3 + w**4 - 43*w**3 - 195*w**3 - 18*w**4 + 12*w**4 + 5*w**2.\nAnswer: -5*w*(w - 1)*(w + 1)*(w + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -2*p - p. Let g be p\/85 + (-654)\/(-10). What is the greatest common factor of g and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enmh when four letters picked without replacement from {e: 2, h: 2, n: 1, m: 1, b: 8}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 129534*u**2. Let t(p) = 25*p**2. Give x(t(m)).\nAnswer: 80958750*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 56*f + 13376. What is the thousands digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*v - 61 - 263. Let k(f) = -2*f - 9. Calculate k(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78954 and 78954?\nAnswer: 78954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00277620772 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.273 + 1.173. Which is the biggest value? (a) i (b) -0.5 (c) 5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + m - 53865 = 0, -4*o - 4*m + 43071 = m. Let n = 20263 - o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(1235\/195).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/3 - 69*f**3 - 3488*f**2\/3 - 5904*f - 28544\/3 = 0 for f.\nAnswer: -8, -4, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53740, -53729, -53704, -53659, -53588, -53485?\n\"Answer: t**3 + t**2 + t - 53743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -25*j**2. Suppose 0 = 2*q - 6*q - 4, 3*i - q = 16. Let x(f) = 0*f + i*f - 8*f. Calculate x(c(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4704 + 4709. Which is the third smallest value? (a) h (b) 18 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i. Suppose -5*k = 2*n + 4, -k - 3*n = -n + 4. Solve k = -3*b - 15, 4*j + 3*b - b + 6 = i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525437924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -931*k**6\/2 - 299*k**2\/2 + k + 2857. What is the second derivative of x(p) wrt p?\nAnswer: -55860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 30*n + 16)*(n**2 - 2*n**2 + 3*n**2) + (-3*n**3 - 3*n**3 - n**3)*(-3 - 4 + 4) - 5 + 5 + 2*n**3.\nAnswer: 83*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 59*v - 63. Let d(b) = 93*b - 95. Calculate -5*d(p) + 8*f(p).\nAnswer: 7*p - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.3, -5, 1\/56667?\nAnswer: 1\/56667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 4.69977\nAnswer: -0.1879908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b + 2 + 608*b**4 + 41*b - 147*b - 428*b + 4 - 6*b**5 wrt b.\nAnswer: -120*b**3 + 7296*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350840062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 40. Let u be 1*x\/(-3) + 2. Let g be (u*-95)\/((2\/1)\/4000). What is g rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*u**2 + 0*u + 34*u**3 + 0*u - 42*u**3.\nAnswer: -8*u**3 + 143*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 73 (b) 6 (c) -0.5 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405579880 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22438\/34329 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 61. Let p be k(15). Suppose -4*f = x - 5, -5*x = -3*f + p + 51. Let l(g) = -g**3 - 11*g**2 + g + 12. Determine l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -19675, -3\/8, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3344 = h, -9*s - 6 = -7*s. Suppose -8*t = -10*t + h. What are the prime factors of t?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - x**2 + x - 1. Determine v(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 7*j - 131. Let g = -126 - j. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 2*x**2 - 29*x - 50 + 6*x + 9. Let k be w(-21). Solve -5*q = -k - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.94676 centimeters to nanometers.\nAnswer: 299467600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82160171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z - 48. Let i be u(-8). Solve 0*x + 3*x - 15 = i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 2. Let l be 2\/3 - (-2)\/6. Let d be 1 - l - (s - -1). Is d >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -7, 7334, -5, 4, 2 in descending order.\nAnswer: 7334, 8, 4, 2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 0. Let q(s) = s**2 - 7*s + 3. Let w be q(f). Suppose -w*l = -l - 18. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrhtrtrhh. What is prob of sequence tt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 + 4) - (-5 + (1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Suppose -10 = p - 2*q, -4*p + 4 = 4*q + 8. What is the nearest to 1 in h, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229.546 and 0.0201.\nAnswer: -4.6138746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 19 + 17 = 0. What is the units digit of 27\/((4\/o)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 + 42 = 0, 5*w = -3*m + 6 + 96. Solve 0 - 2\/11*u**3 - 198*u - w*u**2 = 0 for u.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7053)\/546 + (-27)\/(3861\/22). Let s = -133\/5 - -951\/35. Let f = s + q. Find the common denominator of f and 39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**8\/1008 + g**7\/126 + g**6\/45 + g**5\/45 + 17*g**2 + 38. Let i(f) be the second derivative of q(f). Factor i(s).\nAnswer: s**2*(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x\/x**4)\/x)\/x)\/(((x*x**(-2\/11))\/x*x)\/x))**(46\/5)\/(x**(-3\/7)\/x**(-1\/3)*(x\/x**0)**(-40\/3)) assuming x is positive.\nAnswer: x**(-4812\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(2*c + 5*c + 2*c)*(18 - 93*c**2 + 191*c**2 - 86*c**2).\nAnswer: -108*c**3 - 162*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - (-133893)\/(-957)) + 47?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/40 and 8883\/(-2940) - (-7)\/4.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**5 - 8*k**4 - 5*k**3 + 2*k + 2. Let h(n) = -5*n**5 + 34*n**4 + 20*n**3 - n**2 - 9*n - 9. Let q(u) = 2*h(u) + 9*x(u). Factor q(i).\nAnswer: -i**2*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 18 = 3*i, -3*g + 4*i + 6 + 12 = 0. Is g < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*n**4 + 38*n**4 + 3*n**2 - 2*n - 107*n**4 + 31*n**4 - 2 - 3*n**3 - 5*n**2 in the form g*n**2 + q*n**4 + y + p*n + m*n**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 8:04 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 9*m**5\/40 + m**4\/24 - m**3\/2 - 2*m**2. Let c(s) be the first derivative of j(s). Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -215*x + 15. Let k(t) = 43*t - 3. Let a(r) = -11*k(r) - 2*m(r). Let o be a(-3). What is the units digit of (o\/(-3))\/(-4)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 1744581330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1390, 3801, 8286, 15883, 27630, 44565, 67726?\n\"Answer: 173*c**3 - c**2 + 1203*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 561395 (base 13) to base 2\nAnswer: 111101111110001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2279, -9155, -20625, -36689?\nAnswer: -57347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*w**3 - w**6 + 0*w**2 + 3 + 187*w**5 - 7*w**2 + 315*w**3 - 600*w**3 + 48*w wrt w?\nAnswer: -120*w**3 + 11220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*j + 1. Let c be (-1)\/(3 + j + -3). Suppose c = -3*q + 4. Solve -q = -3*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:37 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**3 - 12*a**3 + 23*a**3.\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:35 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15795495 - -0.073\nAnswer: 15795495.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i + 3*i + (-16 + 16 - 16*i)*(0 + 3 - 4))*(-i**3 - 1 + 1).\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 582 - 39. List the prime factors of g.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 344845.4109.\nAnswer: 344844.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n**3 + n - 2. Let d be b(1). Let v be (-384)\/(-60)*(-20)\/(-2). Let z = v + -60. Solve 0 = -0*l + 2*l + 3*s - 13, -d = -z*l - 3*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2958 is divided by 417?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:29 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -363 in 1, 1\/6, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123234 (base 7) in base 5?\nAnswer: 13443120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/575 (b) -0.97 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114 - (108 + -87))\/(6\/2 + 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f**4\/2 + 317935*f**3\/2 + 337122315*f**2\/2 + 381706065*f\/2 + 22450805 = 0. Calculate f.\nAnswer: -2119, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 17*q**2 + 40*q + 55. Is m(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 4761.\nAnswer: -2\/4761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**25\/f**35)\/(f**(2\/39))**35 assuming f is positive.\nAnswer: f**(-460\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.100001328 + -13.1. What is x rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n + 4. Let r(l) = 3*l**3 + 8*l - 11. Let t(c) = -11*f(c) - 4*r(c). Let u(a) = a. Give 3*t(x) - 2*u(x).\nAnswer: -3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 105279?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 21*k = -12. Suppose 3*a - a = l + 20, 5*a - 50 = -5*l. Calculate the remainder when (40\/(-3))\/k*(-258)\/(-215) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 875, 1109, 1341, 1571, 1799, 2025?\n\"Answer: -b**2 + 237*b + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/271 - -829\/4336. Is 0 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 2, t: 3}. Give prob of sequence tt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 24. Let n be d(10). Let a be ((-7)\/((-105)\/n))\/(3\/(-615)). Let q = -5 + a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 3*z + 4 - z**3 - 1 + 5*z**2 + 5*z. Let l be p(8). Solve l*u + 4 = -2*o, o - 2*u = -0*u + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-6)*t*t*t\/(t*((t\/(t\/(t**(-1\/6)\/t))*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {k: 1, p: 4, g: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 18, 13, 8, 3, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + p. Let b be u(-1). Suppose -4*s = -4*y + 120, -2*y + b*s = -2*s - 56. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -457191 and 0.1?\nAnswer: -45719.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-3)*59\/354?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 277193219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80+-426651800\nAnswer: -426651720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344513*h**2 - 150*h**3 - 1344513*h**2.\nAnswer: -150*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:00 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:17 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 465156*w**2 - 930207*w**2 - 57*w**3 + 465051*w**2.\nAnswer: -57*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-3)\/(3*-1)). Suppose -4*k = -2*k + 28. Let q = d - k. Calculate the least common multiple of 18 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -1055, -1573, -2073, -2549, -2995, -3405, -3773?\nAnswer: -4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:36 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0*r)\/r)**(-35)\/(r**(-1\/7)*r*r\/(r**(-3\/5)*r*r)))**37 assuming r is positive.\nAnswer: r**(-592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*h + 474 = -796 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 637 = -127. Suppose 6*b - 473 = u. What is the remainder when b is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 8, 3*s + 0*s = -w - 16. Let t = -3212.2 - -3212.11. Which is the nearest to -0.5? (a) w (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23244339 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 + 325 = x + n, -4*n - 4 = 0. Suppose x = 4*s - 212. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -32. Let x be -8 - (-3 - -2)*f. Let y(o) = -o**2 - 8*o + 22. Let d be y(x). Solve u - d = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 8*q**2 - 9. Let j be a(-8). Let r be (18\/(-21))\/(j\/42). Let z be (40\/(-12))\/((-4)\/6). Solve -r*f - w = -15, -z*f + 28 = w + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 13. Let j(k) = k**2. Calculate j(z(x)).\nAnswer: 25*x**2 + 130*x + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**(-13) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.267 + 50.933. Let z = k - 51. Let n = -180 - -175. Which is the closest to -2\/9? (a) 1 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -210110 + 0?\nAnswer: -210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4 + 6*c**2 + 6*c**2 - 5*c**2 + 4*c + 0*c**2 + c**3. Give p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 11*w + 18. Let q be y(-12). Suppose -4*c + q = -114. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884834?\nAnswer: 2, 97, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2 = -2*v - 0, -205*v + 127 = b - 193*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178\/(-7657)*(-7137)\/(-18)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r + 125. What is the remainder when w(-42) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (1 - 2 + 2)*(1 - 2 - 1) + 1 + 3 - 2 + 0 - 1 + 0 - 7 + 2 + 1)*(4 + 12 + 9)*(-32*j + 72 - 72)*(1 - 1 + 2).\nAnswer: 9600*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(2250\/(-20)))\/(((-1)\/8)\/(25\/1220)).\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.4, -2\/7, 3.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0 + x**2 - 2 + 8. Determine r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(846\/99)\/((-1)\/22*-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5734 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzz. Give prob of picking 1 t and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13891*g**5 - 137*g**3 + 3881*g**2 + 8037 wrt g?\nAnswer: 833460*g**2 - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = -20*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {u: 1, x: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21300 + 0?\nAnswer: 21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9015 or -1994?\nAnswer: -1994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 110 = 4*z - z, -2*z - 2*d = -70. What is the remainder when 131 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689164?\nAnswer: 2, 7, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 10) to base 7.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -0.5145\nAnswer: 0.5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 - 31 - ((-4 - 4) + 6). Are -113\/7 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21747557*l**2*m**4 + 27*l**2*m - 347512*l wrt m?\nAnswer: 260970684*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z + 15. Let x be h(-7). Let b = x + -19. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -1 - 137\/1. Let q = 145 + b. Find the third derivative of -65*h**q - h - 18*h**2 + h + 29*h**3 wrt h.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 3 + -2 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2*x + 1. Let i be r(5). Let p be i\/(-12)*(-3)\/(-1). Let a(u) = u**3 + 3*u**2 - 5*u + 2. What is a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-84))\/(21\/441).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27\/22 + -8\/11. Let x be 4\/(-18) + (-52)\/(-72). What is b in 1\/2*b**3 - x*b - 1\/2*b**2 + d = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 13. Let r = 7199 - 7144. Suppose -140 - r = -a*u. What is the remainder when 53 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14189884697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*m - 5452 + 14540 + 6304. What is the remainder when m is divided by 207?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29564441?\nAnswer: 151, 195791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 5*h - 1. Give k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34*(-10)\/15*33\/(-2). What is the units digit of y + (1 - 2\/6)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 153. Let a be r(-19). Suppose -a*b - 9 = -78*b. Solve -6 = -3*t + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119305116*t**2 + 119305119*t**2 - 357915350*t**2 + 119305116*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8816884 is divided by 1127.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000668107 rounded to six decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23791901 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490 - 1493 = p + g, -g = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 102380 (b) 56 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57924 is divided by 13133?\nAnswer: 5392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 9. Let j be w(0). Suppose 6*u - j = 9. Let v(a) = -6*a + u + 5*a + 0*a. Determine v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 57*i + 2. Let v(f) = -169*f - 7. What is 4*v(x) + 14*y(x)?\nAnswer: 122*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9830 * 7.248\nAnswer: 71247.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -123321033 (base 4) to base 12\nAnswer: -56153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -188, -3, 63, 1 in descending order.\nAnswer: 63, 3, 1, -3, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 4. What is l(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2 + 0 - (369 + -373)) + -5 + 95\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 8*f - 4*f + 72 = 0. Sort -1, 5, f, 37 in ascending order.\nAnswer: -1, f, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = -0. Let f(p) = 3 - 1 + 5*p - 3*p - 1 - 92*p**3 + n*p**2. Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*sqrt(832) + sqrt(832) + 4 + sqrt(832) + 1)*-6)**2.\nAnswer: -23040*sqrt(13) + 1917828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 323, 334, 347, 362, 379, 398?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n**2 - 10*n - 2*n**2 - n**3 - 30 - 8*n - 4*n**2. Let b be a(-15). Calculate the highest common factor of 120 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 45*h - 125. List the prime factors of r(6).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1224 divided by -102\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139.69 + -139.75. What is the closest to -2 in -3\/5, m, -0.9, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42725183 less than 42725172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82042*w**3 - 4*w**2 - 82067*w**3 + 4*w**2.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246002367 to the power of 1\/3, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 10. What is the remainder when 19 is divided by (-2 - 20)*(-3)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 341995667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 33 = -4*n, 3134*q - 5*n = 3143*q - 44 + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 5. Let i(b) = -4*b + 10. Let g(t) = t**2 + 5*t - 5. Let x be g(-5). Let f(l) = x*z(l) + 3*i(l). Differentiate f(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954246?\nAnswer: 2, 3, 157, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1868659*j**4*w**3 + j**4 + j**3 - 1143*j**2*w**3 + 1368*j*w**3 wrt j.\nAnswer: -44847816*j*w**3 + 24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 44840712.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 48*a + 9. Let l be o(8). Do l and -54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 3*y**3 - 8*y**2 + 16*y**2 - 3*y. Let w(p) = -3*p**3 - 4*p**2 + 4*p. Calculate 4*a(o) + 3*w(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4))**(3\/4) assuming h is positive.\nAnswer: h**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 2842.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -2. Which is the biggest value? (a) 0.3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 37 = s + 2*s, -2*s + 33 = 5*h. Let y be 55*(6\/h + 2). Suppose u - 8 = 8. Calculate the greatest common factor of u and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91439*i**2 - 45720*i**2 + 6*i**3 - 45719*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 572543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 4 (c) 0 (d) 55738.9 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 - 1140000*t**2 + 8*t. Let q be h(0). Round q to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/6)\/((i**(5\/6)*i*i)\/i)*i**(-13)*(i\/(i\/(i\/((i*((i\/(i**(-13)\/i*i))\/i)\/i)\/i*i)))*i)\/i assuming i is positive.\nAnswer: i**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -72 + 48 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b = 76*b - 172*b + 49*b - 66 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709631 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 362273.3um?\nAnswer: 0.3622733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/(((c\/c**(-18\/11))\/c)\/c)*(c*(c*c*c**(-23)*c)\/c)\/c**(2\/17) assuming c is positive.\nAnswer: c**(-2385\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/3 - 2192*d\/3 + 1201216\/3 = 0.\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*d**5 - 4*d**4 + d**3 - 615*d**2 - 13?\nAnswer: 4860*d**2 - 96*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.74 and 0.15.\nAnswer: -0.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1332 - -2.4332. Let x = -0.4 + 0.9. What is the nearest to -1 in 2, x, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, -4, -28, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = -y, -2*a - 5*y = -5 - 5. Let k be (-3 - -2)\/(a - -10). Suppose -2*f + f = -1. Is k >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12820*-0.1303\nAnswer: -1670.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q + 1. Give c(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 294*s + 224*s**2 + 88 + 295*s in the form z + g*s + n*s**2 and give n.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 69 = 21*h + 3*z + 55, -h - 16 = -2*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 4*x - 1\/4*x**4 + x**2 - 2 + 2\/3*x**3. Let u be t(3). Solve a = -4 + u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4*u - 15. Let p be i(-3). Suppose -2*r - 2*r = -216. What is the highest common factor of r and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 2. Let x be (w - (-8 + 0))\/((-6)\/(-8)). Put 1, x, -1, -3 in increasing order.\nAnswer: -3, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 - 5*y**3\/3 - 2*y**2 + 5*y. Let h be u(-9). Suppose 0 = -h*t + 131 + 9. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 1. Let w = -257 - -302. Let a(m) = 44 - 85 + w - 5*m. Calculate 4*a(t) + 18*x(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90849, 181692, 272533, 363372, 454209, 545044, 635877?\n\"Answer: -p**2 + 90846*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, s: 5, z: 2, f: 5, a: 2}. What is prob of picking 1 z, 1 p, 1 a, and 1 s?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40806 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*k = -245*k - 390*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -3*d + d, 3*g + 3 = d. Are 2\/431 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -213\/23 in -0.6, 1, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 54 = -14*g. Which is the smallest value? (a) g (b) 0 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 19*x**4\/12 - 2*x. Let h(t) = -t**2. What is h(k(y))?\nAnswer: -361*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*n)*(-n**2 + 2*n**2 - 2*n**2)*(-n + 0*n - 2*n).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 + -3 + 2. Suppose -y*c + j + 631 = 0, 5*c + 3*j - 1048 = j. Find the common denominator of 73\/10 and (-2)\/(-3) + 1525\/c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*o = -3*i + 14, -5*i + 4*o + 17 = 0. Which is bigger: i or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Suppose -2*g + 11 = 3. Let y(a) = g - 1 - 3 - a. Let q(p) = -3*p**2 + 12*p. Let j(i) = q(i) + 12*y(i). Give m(j(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 3\/(-2))\/(43\/3440) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/2 - 45*s**3\/2 + 117*s**2\/2 - 111*s\/2 + 18 = 0. Calculate s.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*x + 482*x - 243*x + x**2.\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.97 times 0.12?\nAnswer: 0.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2496 divided by 3.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6101 + 648?\nAnswer: -5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -16) + (44 - 3) + (-28 - -37).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 181?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let m = 7 + -10. Let o = z - m. Is o less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(192) + 0) + sqrt(192) + 4.\nAnswer: -16*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192, -784, -1774, -3162?\n\"Answer: -199*s**2 + 5*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 - 6*m**2 - 4*m + 3. Let b(l) = -2*l**2 + 1. Calculate -6*b(o) + 2*h(o).\nAnswer: -14*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*s + 223*s + 110 = 0. Sort -3, 1, s, -34.\nAnswer: -34, s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 10614.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 30. What is the lowest common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 4*n**2 + n + 4. Let d be q(5). Let i = d - 110. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 688\nAnswer: 688.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2223020?\nAnswer: -2223025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28270.17 micrometers in centimeters?\nAnswer: 2.827017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*g + 3*l, g - l + 32 = -5*l. Let c = g - -81. Suppose 29 + c = 7*s. What is the least common multiple of s and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*s - 2*s, 3*t + 5*s = 31. Suppose 3*a + t*a - 150 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327443933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/64)\/((-6*1)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) + 1)*-4*-5)**2.\nAnswer: -43200 - 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1563147 divided by 12.\nAnswer: -521049\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -179.68. Let o = u - 3.680158. What is o rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p. Let w(i) = i**3 - 4*i**2 + 2*i + 6. Let q be w(3). Put p, q, 4 in descending order.\nAnswer: 4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/23)*k*k*k**(1\/8)*(k*((k\/((k*k*k**1)\/k)*k)\/k*k)\/k*k)**(1\/6) assuming k is positive.\nAnswer: k**(1217\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1 - 3)\/1. Put -5, x, 5 in decreasing order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82958977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1948, 1949, 1950, 1951, 1952?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100 - 100110110011111?\nAnswer: -100111001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-8)\/36)\/(((-1)\/(-2))\/((-1)\/6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.513118 milliseconds?\nAnswer: 0.008513118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 5. Let o(v) = 3*v**2 - 4*v - 11. Calculate 7*g(w) - 3*o(w).\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*h = 88, 29*s + 2*h = 26*s + 142. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1361.09 - 1348. Let u = f + -12.2. Let q = -0.8899844 + u. What is q rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 + 8*s + 16 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (3 + (-14 - -1) - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 18}. What is prob of sequence bbx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3323344, 3323288, 3323232, 3323176?\n\"Answer: -56*c + 3323400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23\/8 + -307\/104. Suppose s + 4 = -3*s. Is o bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -6*p + 2*p + 28, -g = 4*p - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -140. Suppose 2*s = 3*v - 154, 0 = 4*v - 5*v + 2*s + x. Suppose -3*r - 5*j = 23 - 106, 2*r = -4*j + v. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 3*s + k + 8, 16 = 5*s - 3*k. Suppose -2*u = s*j - 6926, 2*j + 3*j - 2*u = 17336. Let f = -2067 + j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 340336446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 13*l**2 + 15*l - 3. Let v be p(14). Suppose -216 = v*d - 29*d. What is the least common multiple of 54 and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6.4. Sort -1\/5, i, 2, -4 in increasing order.\nAnswer: -4, i, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 - 10*u**2 - 18*u - 416. Let d(c) = -c**3 + 2*c**2 + 4*c - 3. What is 4*d(g) + f(g)?\nAnswer: -g**3 - 2*g**2 - 2*g - 428","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 1003.875?\nAnswer: 31120.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*s - 32, -5049*p + 42 = -5053*p + 6*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-154 + 1)*(-2856)\/252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d + 14. Let j = -7 + 7. What is the third biggest value in j, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -21 + w**4 - 22*w**2 - 6*w**4 + 6 - 38*w**2 - 30*w**3 - 56*w + 6*w = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/(-90) + 4\/10. Put g, -0.4, -3 in ascending order.\nAnswer: -3, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.53 - 19.73. Let c = j - -16.091. What is c rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -398700?\nAnswer: 398702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 55 - 115 - 1970*q**2.\nAnswer: -1970*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let f = i - -3. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**5\/39 + t**4\/52 - 4*t**3\/39 - 265*t**2\/2 - 219. Let p(s) be the second derivative of x(s). Determine r so that p(r) = 0.\nAnswer: -4\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 6076, 15, -0.2, -0.1 in descending order.\nAnswer: 6076, 15, 2\/15, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p + 86 - 229 + 60 + 84 + 31*p.\nAnswer: 64*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let v(m) be the first derivative of -m**3\/6 - 4*m - 4. Let g(p) be the first derivative of v(p). Determine u(g(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o = 16*o - 41*o - 784 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 133145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1047, -6, -2 in ascending order.\nAnswer: -1047, -19, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.123 - 4.396. What is p rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/60 and 7\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 0*b + 0*b - 5*b**2 + b**3. Suppose 10 = 3*h - h. Calculate the remainder when m(h) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**4*h**2*o**2 - 1063*g**3*h**3*o - g**2*h**3*o**2 - 2010*g**2*h*o - g*h**3*o wrt g.\nAnswer: 72*g*h**2*o**2 - 6378*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 45 - (3 + 2)*(4 - 5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/20 + a**4\/6 + a**3\/2 + a**2 + 5*a. Let t be f(3). Solve 12 = -t*z + 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4. Let u(i) = -77*i + 308. Let s(t) = -77*b(t) - u(t). Let l(y) = -2*y. Give s(l(m)).\nAnswer: -154*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 162. Let h(k) = -337*k**2 + 36. Give l(h(c)).\nAnswer: -3033*c**2 + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13656, -13520, -13384, -13248, -13112, -12976?\n\"Answer: 136*t - 13792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 12, 2*a - 5*k = a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and (-707)\/(-63)*((-9)\/3)\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a meter in centimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 489277*i + i**2 + 4*i**2 + 6*i**3 - 489277*i.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 - 0)*1*1\/(-2). Find the second derivative of 22*r - 5*r**3 + 6*r**3 - m*r**2 - 1 + 12*r**2 wrt r.\nAnswer: 6*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100101111001011 (base 2) in base 5?\nAnswer: 23403021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.0626ug in kilograms?\nAnswer: 0.0000000580626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7505544.1 + -198.\nAnswer: 7505346.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 335184474 or 335184475?\nAnswer: 335184474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 484, 1039, 1598, 2161, 2728, 3299, 3874?\n\"Answer: 2*i**2 + 549*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 4. Let g = i - 82. Let c = g - -114. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((68580\/250)\/(-18) - -15)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*3\/(-28)*(-304)\/684?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.35 < -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-154)*1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (0 - -1) + 3 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-438)\/(-5037)*(-69)\/129.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 14*o**3 - 30*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02762 less than 5.87?\nAnswer: 5.84238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12864 - 12861. Let 0 - 4\/3*c**4 - 4\/3*c**2 + 0*c + 8\/3*c**h = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21700*f**4 - 1590*f**2 + 4*f wrt f.\nAnswer: 520800*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71851 take away 1?\nAnswer: -1.71851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.309846 decades in millennia?\nAnswer: 0.00309846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-214)\/9 - (-2)\/(-9). Let i = 48 + d. What is the remainder when 46 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 7*o - 5. Let p be s(-8). Let i = 5 + -3. Solve -i - p = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - 143\/(-55))*((-125)\/(-4) - 10) and (10\/6)\/((-4)\/(-102)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 + 237. Sort d, 0, 4, 1\/9.\nAnswer: 0, 1\/9, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 28. Let b be y(-12). Solve 0 = 2*k - b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 2*c)*(4 - 3 - 2)*(-8*c - 8*c - 35*c)*(0*c - 4*c + 6*c + (2*c + 0 + 0)*(-3 - 2 + 7) - 4*c + 4*c + c).\nAnswer: 714*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4488 is divided by 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1829445 not equal to -1829438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/486850, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.1, 3\/486850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:08 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 102. Let b(p) be the third derivative of p**5\/20 + p**4\/6 - p**3\/2 - p**2. Let k(o) = -o**2 - 4 + 3 + 2*o + 2*o**2. Give u*b(h) + 7*k(h).\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*b**(-2\/9)*b\/b**(-2\/3)*b\/((b**(-8)*b)\/b*b*b*b) assuming b is positive.\nAnswer: b**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.1, 7\/13, -5, 2\/19, 1\/4.\nAnswer: -5, -2\/9, 0.1, 2\/19, 1\/4, 7\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 21 = -3*o + 3*s, -s = -5*o + 23. Suppose -13 = -x + t - 0*t, -5*x + 56 = o*t. Let i = x - 5. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51930842707\/660 - -78683113. Let h = 262\/33 - r. Let j = -3593\/260 - h. What is the common denominator of 56\/11 and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 234179256*n**3 + 753415*n**2 - 387*n wrt n.\nAnswer: 120*n**2 - 1405075536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71165.39 tonnes to kilograms.\nAnswer: 71165390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*5*(-2 + -5*sqrt(20)).\nAnswer: 250 + 1250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8 - 3 + c - 1 - 7. Calculate t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/4 - 7. Which is the biggest value? (a) l (b) -2 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -25. Let s be w - 7\/(28\/(-12)). Let z(y) = 25*y - s*y - y**2. Determine z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -0.31. Let f be 6\/12*(-3)\/6. What is the nearest to u in -5\/3, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 21*c**2 - 19*c + 17. What is q(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = 0, 4*c - 131*u - 3 = -126*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 116?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10054 + 20434?\nAnswer: 30532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-3 + (sqrt(76) - (1 + sqrt(76)))) - (sqrt(1539)*1 - sqrt(1539))*-4)*-2 + -2)**2*-4.\nAnswer: -1616 - 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.89 - 0.11. Let i be 75\/(-25)*2\/(-30). Which is the closest to 1? (a) i (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 8*y + 19. Let b be t(13). Suppose 0 = m + 16 - b. Calculate the remainder when m is divided by 4\/10 - 113\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -10, -12?\n\"Answer: -2*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 27*f**3 + 20*f**2 - 8*f + 3132. Let t(h) = 2*h**3 + 5*h**2 - 2. Let r(d) = k(d) - 4*t(d). What is the first derivative of r(q) wrt q?\nAnswer: 57*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 664878980 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007105 to 5 dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 14480 to the nearest 100.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1342.03991 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14183 is divided by 68.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 1, 81, 5 in descending order.\nAnswer: 81, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:41 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/31585 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 55*x**2 + 90*x - 717. Does 15 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4226459 is divided by 1056611.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-693)\/(-2))\/((-1)\/(80\/(-12))). What are the prime factors of -5*(a\/(-225))\/(1\/6)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y + 2*y**4 + 903*y**2 + 7 - 2*y**3 - 903*y**2 to the form q*y**4 + s*y + x + u*y**3 + o*y**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -283.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879.48 years in millennia?\nAnswer: 2.87948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 17 - 4) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589 and 78413.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5731395 and -2.\nAnswer: 11462790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 9.616, -2 in ascending order.\nAnswer: -5, -2, 0.3, 9.616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(76) - (-2 + sqrt(76))*3) + 0 + (sqrt(76) - (sqrt(76) + -3)))*4)**2 + -3 + 3.\nAnswer: -1152*sqrt(19) + 6163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.3. Let d = 0.3 - -1.7. What is the second biggest value in -2, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35 + -34)\/(1\/5). Let j(y) = -6 + 4*y**3 - 3*y**3 + 0*y**3 - 2*y - 4*y**2. Does 3 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/(-12) - 1)\/((-7)\/(-15764)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(24) + 2*sqrt(1536))\/(sqrt(1200)*2).\nAnswer: 17*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**6 + 52*u**5\/5 + 22*u**4 + 24*u**3 + 14*u**2 + 4*u - 7. Factor a(n).\nAnswer: 4*(n + 1)**4*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137349408 by -653.\nAnswer: 210336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -69. What is the biggest value in r, 1\/4, -5\/4, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11871*i - 2532*i - 2896*i + 15547*i = -901590 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 283865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23083976?\nAnswer: 2, 2885497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 6) to base 2.\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8438*v**3 + 7398*v wrt v.\nAnswer: 50628*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m + 4. Let i = -11 + 16. Let f be w(i). Suppose -f = -3*l + 5*k, 5*l + 6*k - 81 = 2*k. What is the highest common divisor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 39. Suppose -3*g - y + 22 = -0*y, -4*g + j*y = -36. Sort -4, 3, 4, g in descending order.\nAnswer: g, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 3*y - 3*y - y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 4, 5, 0, -4.\nAnswer: -63, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {n: 1, w: 5, k: 6, m: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2. Let t be r(5). Let s = -0.4 - -0.3. What is the nearest to s in -0.3, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 19. Let u = 14.22 - n. Let j = u - -0.08. Sort 2, j, -0.4.\nAnswer: -0.4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520685 and 2520?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 6*x + 8. Is p(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 + 8409912*g - 8840827480968 = 0.\nAnswer: 2102478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 129 (b) 114 (c) -4 (d) -6 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -1. Suppose 0 = 5*b + 18 - 3. Sort b, w, 0.4 in increasing order.\nAnswer: b, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(3 + 1 - 3)*(-4 - 5 - 3).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120112759 rounded to seven dps?\nAnswer: 0.0001201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((145383\/(-14))\/(-43))\/((-2)\/(-44)). Calculate the highest common factor of 115 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1465 - -1465. Solve t*w = w - 2*r, -w = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3458 + 3457. Let v(n) = n. Suppose -2*g = 6, -4*r = 2*g - g + 27. Let w(y) = -7*y + 4. Calculate r*v(d) + s*w(d).\nAnswer: d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14838, 14804, 14860, 15006?\nAnswer: 15242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1152 and -0.2.\nAnswer: -230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - t - 4*t + (-t + 0*t + 4*t)*(3 + 0 - 1))*(-t - 11*t + 6*t) in the form y*t**2 + g*t + w and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -21*s - 34. Let h be c(-2). Solve 4*w + 0*w = 2*i + h, 0 = 4*i - 5*w + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1652 or 1653?\nAnswer: 1652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) -185\/3 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let t(j) = -2*j**3 + j. Let p be t(-1). Let i(q) = -6*q - 5. Suppose 0 = -7*g - 19 - 9. Let v(c) = g*y(c) + p*i(c). What is v(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352c (base 15) to base 8\nAnswer: 26034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6*i = 3*i, 0 = z - 3*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-216)\/(-10) + 6\/15. Let b = -67\/3 + y. What is the closest to -0.1 in 0.5, b, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -29*m**2 - m - 3. Let d(a) = 7*a**2 + 1. Calculate -9*d(i) - 2*z(i).\nAnswer: -5*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:56 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6627 + -6591. Solve y = -7*s + 13*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 2*s**5\/5 + 13*s**4 - 7*s**3\/3 + 4*s + 1107. Find the third derivative of w(b) wrt b.\nAnswer: 48*b + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473033*k + 475368*k - 948400*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:07 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3226 - -3490. What is the least common multiple of b and 308?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362689*l**3*t**2 - 5*l**3 + 2*l*t**2 + 482*l*t - 4*t + 9 wrt t.\nAnswer: -725378*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2612 != -2614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 9. Suppose -k*i - 44 = -8*i. Let g = 27 + -19. What is the smallest common multiple of i and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 + 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.052 in 5, -4, 1\/747?\nAnswer: 1\/747","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = -93*p + 97*p. What is the remainder when 275 is divided by p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9338 + 9338 + 219*w)*(4*w - 24 + 0*w - 3*w) + (-3*w + 2*w - w)*(2*w + 1 - 1).\nAnswer: 215*w**2 - 5256*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omomooooomomomooooo. Give prob of picking 2 o.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a factor of 19087040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 7*x + 70 = 0. Sort -3, x, 105 in increasing order.\nAnswer: -3, x, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 2, 8985, -1, -300, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6739 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*m - k, 3*m - 5*m + 5*k + 13 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/60 - 3*p**5\/20 + 5*p**4\/24 + p**3 - 14*p**2. Let j be z(-5). What is the hundreds digit of j*(-114)\/42*(-7 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2\/5*y**3 - 2 + 7\/5*y**2 + 4\/5*y. Factor r(f).\nAnswer: 2*(f + 2)*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-10)\/(-6))\/((-344)\/129).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:11 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9591*y**2 - 19184*y**2 + 9556*y**2 + y**3.\nAnswer: y**3 - 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698 + 758. Calculate the greatest common factor of 540 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {x: 3, v: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12644254 (base 7) to base 8.\nAnswer: 4356554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 != -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:35 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11616 = -7*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 684.9828 decades?\nAnswer: 82197.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/55)\/(1*(-1)\/2*4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 0, 6, 28, 72, 144, 250?\n\"Answer: z**3 - z**2 - 8*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8130 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12886.64 and 637.\nAnswer: -12249.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 22\/(-6))\/(38\/456) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 372272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149860 and 24780?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**2 - 3*y - 3 - 2 - 8*y**2 - 4. What is the units digit of u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/183 and 65\/650319.\nAnswer: 39669459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23315410 (base 6) to base 12.\nAnswer: -2abb66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 285421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 54 = -z, -3*z = -5*r - z + 57. Suppose 22 = r*b - 9*b. Let n = b + -6. Solve 0 = -4*y + 3*o - 9, 2*o = n*y + 5*o - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 - 355*g + 567 - 3*g**2 - 207 = 0. Calculate g.\nAnswer: -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 280 = 1224. Let b = x + 454. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yavxaaiivi. What is prob of sequence yx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x + 105 - 636 = -89 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299.6 - -300. Which is the biggest value? (a) 4 (b) j (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121002201 - 1233?\nAnswer: -121010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*i - 1 = -i, 0 = -4*p + 3*i - 6. Let d = p + 5. Let q(o) = -46*o - 21. Let w be q(-1). Solve 4*z = 5*g + 53 - 8, 0 = 3*z - d*g - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 94. Put -0.3, s, 0.4 in ascending order.\nAnswer: -0.3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 12, d: 2}. Give prob of sequence dv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/80 and -43\/10900.\nAnswer: 43600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/394214543?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/((-12)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:52 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-612)\/(-270)*15\/5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17225271.\nAnswer: 3, 7, 91139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 66708 to the nearest 100.\nAnswer: 66700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 2. Let h be ((-6)\/(-3) + -4)*1. Let x(f) = 0 + 3 - 2 - 9451*f + 18936*f - 9487*f. Calculate h*j(z) + 3*x(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-3)\/(-81)). Let r = -1 + 5. Calculate the highest common factor of w and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 18500*t**2 + 2*t - 4. Let j be k(2). Round j to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(33*(-4)\/(-110)))\/25.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0277 - 40.8723. Let j = f + 39. Let k = j - 0.1. Which is the closest to 1? (a) -0.5 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-6)*(-4)\/6. Suppose 3*w + 26 = -3*x - 2*x, -4*w - 4*x - 24 = 0. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-19 - -9) + -22 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a + 2. Let c be r(-2). Suppose -n - c = -s - 0*s, 5*s = 4*n + 10. Put n, -8, -3 in descending order.\nAnswer: n, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) 1\/2 (d) -10485 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/19 or 5?\nAnswer: 80\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746705542?\nAnswer: 2, 11, 811, 41851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3418*c + 1063000. Calculate i(-311).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 10*d - 96 = 2*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3068*s - 3069*s + 3, -5*s = -5*h + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -23\/3. Let y = 6 + -1. Let r be (-2)\/(-4)*(-3)\/(-6). What is the closest to r in w, -1\/4, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96558309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 2308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6124053 is divided by 1020655.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u. Let q(r) = 4*r. Let c(i) = 4*i - 32. Let k be c(9). Give k*a(x) + 5*q(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3968 (base 15) to base 8\nAnswer: 27730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570455607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 2*v + 16. Put -7, 0, -3, v in increasing order.\nAnswer: -7, -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3 - h**3 + 2*h**2 - h + 0*h**2 - 7*h**2. What is the remainder when 3 is divided by i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21365 - 4087?\nAnswer: 16267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -45. Suppose -w*l - l = -210. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 + 2*m + 48. Let h be u(0). Let c(l) = 11*l**2 - 3*l + 1. Let p be c(2). Let v = h - p. Put v, -1, -2 in descending order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, -0.13, 0.22, 2, -0.5, 0.5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -5\/7 (c) -5\/2 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102012344 (base 5) in base 12?\nAnswer: 184855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 38*m - 37*m + 2, 14 = -5*w - m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + (2 - (0 + -2))) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + 2*s**2 + 2*s**4 - 3 - 5*s**4 + 2*s**3 + 8*s**4 to the form b*s**3 + z + h*s + l*s**4 + y*s**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 5*o**2 - o. Suppose 16*h + 60 = -20. Calculate z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16643689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p*p\/(p**12\/p)*p**(-5)\/p**12)**(-30) assuming p is positive.\nAnswer: p**(5940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53170 minus 547276.027?\nAnswer: -494106.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 4*m**4 - m**4 + (m**3 + 0 + 0)*(m + 1 - 1 - 3*m - m + 6*m + (1 - 2 + 2)*(m + 3*m - 2*m) + 5 - m - 5 - m + 2*m - 2*m - 2*m + 0*m + 10*m).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.613 - 0.467. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 542*75\/45*(-3)\/(-10). Let s(z) = 3648*z**3 + 266*z**2 - 266*z. Let a(x) = 41*x**3 + 3*x**2 - 3*x. Determine n*a(i) + 3*s(i).\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 17*b - 7. Suppose 0 = -3*k + k + 32. Calculate the remainder when (-1)\/(1*-2)*48 is divided by d(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.7 - 61.284. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6029090, 12058179, 18087268, 24116357?\n\"Answer: 6029089*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11675 - 3*a - a**2 + 11680 - 2*a**2 + (6 - 2*a - 6)*(2*a + 0*a + 0*a) to the form h*a + m + r*a**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from ltttz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2340849 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4472.452809 + -4472.4. What is d rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 19*p**2 + 40*p + 1492. Determine t(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 6*w**2 + 11\/6*w**4 + 39 + 0*w**3 - 28*w. Let y(c) be the first derivative of h(c). Find the first derivative of y(n) wrt n.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.12333 to one dp.\nAnswer: -47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -666 + 671. Solve -p*z + 15 = -x + 26, 0 = -4*z + 3*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623797346 to the power of 1\/2, to the nearest integer?\nAnswer: 24976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17578360.37 to the nearest 10000.\nAnswer: 17580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 226.3 - 226. Sort 3, 0.07, -1, u in increasing order.\nAnswer: -1, 0.07, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6 - (47 + -47)) + -11 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 35*q**2 + 74*q + 3. Let v be t(37). What is the greatest common factor of v and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 10*q - 13)*(2*q**2 - 4*q**2 + 3*q**2) + (4 - 4 + q)*(-q - q**2 + q) - q**3 - 3*q**3 + 2*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11\/y)**(-43)*(y**1\/y)\/y*y*y**(2\/5)*y*y*y)**28 assuming y is positive.\nAnswer: y**(-59724\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -227159, -454318, -681475, -908630, -1135783, -1362934, -1590083?\n\"Answer: n**2 - 227162*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-5))\/(18\/310) and -23\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -140*u. Let k(f) = 86 + 88 - 174 + 3*f. Calculate d(k(i)).\nAnswer: -420*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(-16))*(-7)\/(-14). Put 2\/5, s, 5 in increasing order.\nAnswer: s, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j + 5, 2*j = n - 25. Suppose -n*g + 39*g - 2280 = 0. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*h - 2 = 0, -2*x = -3*x - 4*h + 4. Let k be 2\/(x*4\/232). Let j = k - -63. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300052 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1887, 16770, 57161, 135810, 265467, 458882, 728805, 1087986?\nAnswer: 1549175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2783116 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111364683 divided by 2.\nAnswer: -111364683\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 52*n**2 - 10*n - 27. Let s(m) = -3*m**3 - 116*m**2 + 20*m + 54. Let v(p) = -3*s(p) - 7*z(p). Let h = 27 - 11. Is v(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1331, -1266, -1201, -1136, -1071, -1006?\n\"Answer: 65*q - 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1438011 millennia?\nAnswer: 1.438011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18775263 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*b**2 - 162*b**2 - 275*b**2.\nAnswer: -630*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16765 (base 9) to base 15.\nAnswer: 365b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5394 is divided by 1346?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69815360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37397 - 37397. Let w be ((-1)\/2)\/(7\/(-8)). What is the closest to -1 in w, 2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 - -355. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1552 * -49.4.\nAnswer: -76668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1644 by 2.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1092)\/936*(-3)\/(-42).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235\/972 - -2\/243. What is the biggest value in -0.01, -2\/7, -9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 18 - 2 = 0. Solve 2*i + 2*i + l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/662105052 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471 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: Which is the biggest value? (a) -1 (b) 1\/403 (c) -0.1 (d) 2 (e) 48\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - y + 82 + 111 - 295 + 97.\nAnswer: -4*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -416 + 415.874. Let v = -1318.1353 - -1318. Let b = v - c. What is b rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203955579?\nAnswer: 3, 17, 29, 43, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31422132 divided by 329.\nAnswer: 95508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-2)\/(-3)) - (-48320)\/(-64). Let j be c\/(-9) - (-4)\/(-18). What is the greatest common factor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let q be k(5). Let n be (-6)\/5*(-177 - 3). Suppose q*b - 109 - n = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 23 - 10*h + 22*h - 10*h. Let v be z(-9). What is the third derivative of -21*l**2 + 6*l**v + 12*l**4 - 12*l**2 wrt l?\nAnswer: 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -2*b + 3*b, m - 8 = 2*b. Suppose 30 = -22*o + 52*o. Sort o, 2, m.\nAnswer: m, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, w: 13}. What is prob of picking 1 w and 2 y?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5389 * -0.066.\nAnswer: 0.0355674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659951 by 1.\nAnswer: -1659951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 3, -0.2519, 5\/3, -4\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-6) - (-4004)\/462?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 505, -5, -28, 0, 7, -3 in increasing order.\nAnswer: -28, -5, -3, 0, 7, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:34 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 12*c**2 + 13*c + 26. Let m be k(-11). Let d be (m + 0)*1\/14. Is d smaller than 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 + 1652*h**3 + 70916*h**2 + 179600*h + 88704 = 0.\nAnswer: -504, -44, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*p - 9, 0 = -5*z + 3*p - 4 - 2. Let q be (2 - 1)*(16 - z). Let j = q + 27. What is the remainder when j is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 19196\/3 (c) 4\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 69 = 285. What is the highest common factor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.13999562 - 4.14. Round v to 7 decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h + 11\/2*h**2 - 1. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*f = -35, -4*f - f + 55 = 4*y. Solve 0 = u + i - 1, 0 = 2*u + u - 3*i + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4209, 4210, 4213, 4218?\n\"Answer: q**2 - 2*q + 4210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -9.5. Let f = -1.3 - 1.7. Let c = f + g. What is c rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -833, 297, -4 in increasing order.\nAnswer: -833, -4, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/12 + 1\/4. Let j(q) = -q + 12. Let t be j(7). What is the second biggest value in t, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 2, g: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1664, -1088, -510, 70?\n\"Answer: u**2 + 573*u - 2238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3484 + 3293.7.\nAnswer: 3294.0484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2. Let h(f) = f**2 + 7*f - 25. Let a(i) = h(i) - 4*z(i). Determine a(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 1:14 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97407964?\nAnswer: 2, 41, 593951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353\/17 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 6, y: 1, i: 2, q: 3}. What is prob of sequence yi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q + 3569 - 8316 = 15*q - 62*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-24) - 1\/4. Let z = -252.01 + 252. Which is the biggest value? (a) s (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14473 or -14475?\nAnswer: -14475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 10*v - 6. Let x be 3\/(-6) - 76\/(-8). Let d be j(x). Suppose z + b = 5*z - 13, -4*b - 14 = d*z. Solve g - 3*a = -0 - 4, 3*g = 2*a + z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**4 + 2*o**3 - 13. Let w = -14 - -12. Let b(a) = -32*a**4 - 9*a**3 + 52. Let n(u) = w*b(u) - 9*r(u). Differentiate n(p) wrt p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (307*i**2 - 607*i**2 - 52 + 2*i**3 + 301*i**2)*(2 - 2*i - 2) as y*i**2 + v*i + x*i**4 + j + a*i**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, 2.8, 7?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_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 0 = -3*s + 4*y + 14, -3*s - 3*y = y - 22. Calculate the least common multiple of 15 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395951.1 hours in seconds?\nAnswer: 1425423960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/6 + 4\/(-12). Let c = 6 + s. Let q(u) = u**3 - 4*u**2 + 3*u + 1. Determine q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*k**2)*(k - 2*k + 2*k)*(4*k + 0*k - 2*k).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b**3 + 2*b - 4. Let u(i) = 48*i**3 - 7*i + 13. What is -2*u(k) - 7*v(k)?\nAnswer: 16*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.02 - 0.02. Let n = -11 + y. Let r = n - -7.9999993. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5122*r**2 - 10341*r**2 + 5078*r**2.\nAnswer: -141*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 49*p + 93. What is o(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169414.85 + 169338.85059. Let p = z - -76. Round p to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446 - -448. Let o = -12 - -18. Let x = -3 + o. Solve -4*r = -d*i - 3*r - 12, -3*i = x*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 72 = 64 - 148 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -517*p + 518*p + 2*n - 9, 8*p + 4*n = 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276358 is divided by 148.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 3*o**2 + 7*o - 3. Let p(l) = -5*l**3 - 7*l**2 - 15*l + 7. Let y(f) = -7*k(f) - 3*p(f). What is the second derivative of y(v) wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 4:37 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -5*a**3\/2 + 5*a**2\/2 - 81*a + 5. Let y(n) = -23*n. Give y(i(z)).\nAnswer: 345*z - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6.8\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6\/11))**(8\/3)*m\/(m\/((m**(-1)*m*m)\/m))*m*m**(-17\/5))**30 assuming m is positive.\nAnswer: m**(-1272\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 4. Let f be u(4). Suppose f = -j + 2*j - 32. What is the least common multiple of j\/6 + 12\/18 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 z, and 1 k when four letters picked without replacement from zklkkkkjzzjjk?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -623*a**3 - 10*a**2 - 66*a + 36. List the prime factors of x(-4).\nAnswer: 2, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -8*c + 5*j + 4, -4*c = -3*j - 14. Find q, given that 30*q - 5*q**5 - 65*q**c + 35*q**3 - 102*q**4 + 50*q**4 + 57*q**4 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 1. Let m(p) = -3*p - 2. Calculate 5*m(t) + 8*y(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 547293*n - 10945863. Calculate t(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 772458714 to the power of 1\/2, to the nearest integer?\nAnswer: 27793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -17. Suppose -5*r = -2*o - 9 - 7, -r = -x*o. Suppose 3*k = o*m + 2*m + 139, 5*k - m = 226. Solve 2*f - 4*f + 10 = 4*b, -5*f = -4*b + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39090, -78190, -117290, -156390, -195490?\nAnswer: -234590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}