diff --git "a/data/dm_maths/full_data_1/10531_11255.jsonl" "b/data/dm_maths/full_data_1/10531_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10531_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-y**2 - 1 + 1)*(-2 + 4 - 1)*(y**2 + y**2 + y**2).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4119 and -0.405.\nAnswer: 1668.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -3. Let r = 4 - 8. Let c = 1 + r. Sort g, 5, c in ascending order.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*g - 12, 4*g - 16 = -g + o. Solve -x = g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*j**4 + 221*j**4 + 10*j**2 + 15*j**2)*(5 - 3 + 0) + (j - j - 2*j)*(0*j**3 - j**3 + 0*j**3).\nAnswer: 4*j**4 + 50*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.823 and 0.2?\nAnswer: 6.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-60))\/((-15)\/16))\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2299) + sqrt(2299))*5*2.\nAnswer: -30 + 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -92. Let p = q - 54. Suppose -2*l = -m - 11, -2*l + 8 = -p*m - 13. Solve l*u + 6 = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 - 8375*n**4\/4 - 242061*n**3\/4 - 225313*n**2\/4 + 121031*n\/2 + 58422 = 0 for n.\nAnswer: -8346, -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-63)\/(-14))*(-4346)\/1. Suppose -v = -11*n - 193. Does 30 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23830 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75101?\nAnswer: 13, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 3, c: 4, l: 6}. What is prob of picking 3 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(7\/21). Let s = 1 - h. Suppose -5*w - 6*g + 3*g + 24 = 0, s = -3*w + 5*g - 6. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 - 5*p + 1. Let c(o) = 3180*o**3 + 2862*o**2 - 14310*o + 2862. Calculate -2*c(q) + 5724*n(q).\nAnswer: -636*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and 0.076355023.\nAnswer: -9.923644977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 950 + -627. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h + 4*c, -4*h - 4*c = h - 4. What are the prime factors of h + (-2 + 3)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-12)\/(-390))\/((-30)\/585)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1555, 1475, 1341, 1153, 911?\n\"Answer: -27*i**2 + i + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/186?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + 5. Let g be l(0). Let s(x) = 6*x**2 + x - 12. Let n be s(g). What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669576 divided by -184\nAnswer: 3639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 14101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004663202 rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6315054 - -30?\nAnswer: 6315114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8573755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 - 67*a**2 - 4*a. Let t(f) = 14*f**3 + 202*f**2 + 11*f. Determine 11*j(o) + 4*t(o).\nAnswer: o**3 + 71*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 11*f**3 + 16 + 6728*f - 6728*f - f**3 + 5*f**3.\nAnswer: 15*f**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3742\/5 - -746. Let x = d - -14\/5. Which is the closest to x? (a) 1\/5 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2048779 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/204 and -103\/80?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609166911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363840, 727674, 1091512, 1455354, 1819200?\nAnswer: 2183050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**7\/14 - 7*v**4\/12 + 16*v**2. What is the second derivative of o(a) wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 + -240. Let v(n) = 25*n + 15. Let u be v(-4). Let m = u - g. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14731.\nAnswer: 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3122 and 107\/2676?\nAnswer: 18732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8074693, 16149394, 24224095, 32298796, 40373497, 48448198?\n\"Answer: 8074701*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b + 15 = 0. Let j be (-3)\/b + 6\/15. Solve -k + 1 = -j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855816 is divided by 19449.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*g*l**3*q + 3485*g*n**3*q - 2*g + 47*l**3*n**3*q - 4*l**3*n**2*q - 5*l**2*n**2*q - 4*n**3*q - n**2*q wrt n?\nAnswer: 20910*g*q + 282*l**3*q - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-32) - 23\/(-4). Let b(y) = 5*y**3 - 7*y - 1. Let j(f) = 6*f**3 + f**2 - 7*f - 2. Let l(q) = -5*b(q) + 4*j(q). What is the units digit of l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p - 10. Let s(y) = -16*y - 32. Let r(t) = 32*f(t) + s(t). Let x(v) = 2*v. What is r(x(j))?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let h = -8 - -23. Suppose 0 = -2*v - 3*v - h. Let g(z) = z**3 + 4*z**2 + 3*z + 2. Let b be g(v). Determine j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-6138)\/3348*9\/44.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*z + 18 = 0, i - z + 211 - 210 = 0. Sort 5, -3, 164, i in descending order.\nAnswer: 164, 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-1)\/(-5)). Let g = -0.27 - -0.07. Sort g, l, 1\/2 in decreasing order.\nAnswer: l, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -48\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from sjszeemzzszezzzszz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-5 - -1) - 2. Suppose -g + 61 = p - a*g, -4*p + 259 = g. Let o = 11 + -3. Calculate the greatest common divisor of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 194*d + 4532. Let r be x(-36). Are r and -14707\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -81. Suppose z - 5*v = 1, 4*v - 1 = 11. Calculate the smallest common multiple of z and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + 5*(sqrt(396))**2.\nAnswer: sqrt(11) + 1979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 520*f**3 + 14890*f**2 - 112400*f + 251625 = 0. What is f?\nAnswer: 5, 33, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10144, -10145, -10146, -10147, -10148, -10149?\nAnswer: -10150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 9 + (0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*1*sqrt(11) + -2)*-4)**2 - (sqrt(88)*-3*-6)\/(-4*1*sqrt(8)).\nAnswer: -1527*sqrt(11)\/2 + 6592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-6)\/8*(-2 + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75.8, -3\/160, -0.12?\nAnswer: -3\/160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 6. Let h(g) = -5*g - 6. Let i(s) = 0 - 4 + 0 - 3 + 1617*s - 1623*s + 0. Calculate x*h(p) - 6*i(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {v: 1, b: 3, i: 6, d: 1, k: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from uffffuufffffff?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250913712299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57331, 57334, 57337?\n\"Answer: 3*h + 57328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5\/3, -3, 4\/391111?\nAnswer: 4\/391111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from eteeeeeatectqqetteee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12269, -3 in decreasing order.\nAnswer: 12269, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1869 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88960256 divided by -7.\nAnswer: -12708608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3528 and 54?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/4, 0.5, -7, -0.1.\nAnswer: -7, -0.1, 0.5, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8483283ml to litres.\nAnswer: 0.0008483283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 1.4. Let f = x + 0.8. Let j = f + -0.9. Which is the third biggest value? (a) j (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g. Solve -5*f = -g*x + 4*x - 40, 3*x - 19 = -f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209, 254, 299, 344, 389?\n\"Answer: 45*o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 22*x - 35. What are the prime factors of w(11)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-1) - 3*3\/(-9) - (220 - 180)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.252 - -16887494?\nAnswer: 16887505.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 427.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-35))\/((-5)\/3*8\/100)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*x**2*y**2 + 4*x**2*y + 4*x**2 - 3*x*y - 85*y**2 + 3*y - 1 wrt x.\nAnswer: -10*x*y**2 + 8*x*y + 8*x - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16704434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 29. What is the common denominator of 15\/2 and j\/((-32)\/4 + (0 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46131 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -1, -3\/7, -2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.8. Let g = -0.26 - 0.04. Let y = g + i. Is 2\/9 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-285)\/6)\/(-5)*2. Let j = a - 5. Solve 2*o + j = y + 2, 5*o + 3*y = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let p be -1 - -3*h\/3. Let m(y) = 2*y**p + 4*y**2 - 4*y**2 - 3*y**2. Let q(k) = -2*k. What is q(m(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 31991 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-3)\/28)\/((-6)\/(-8)). What is the smallest value in -3, -1\/10, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (2\/(-1))\/(-6)*-1137. Let i = 593 + y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 6*m - 4. Let t be i(-7). Let f be -2*(0 - (-3)\/t). Let a be f\/9 + (-4)\/(-18). Solve -o + 4 = -a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 17 + -13 + -64 + 0 - (492 + -502)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0314 + -0.0186. Sort -1, 0.5, 71, -3\/5, v in descending order.\nAnswer: 71, 0.5, v, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*x - 134848, -2*x - 8*x - 20 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -31 - 137. Suppose s = 5*k + k. Let j be -8*(-3)\/6 - (1 - k). Solve 5*i - 2*y = 25, 5*i - 4*y = j + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145368711.\nAnswer: 3, 16152079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*t - 18*t - 15*t)*(3*t - 4*t + 2*t) in the form d*t**2 + r + f*t and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9245133.9 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 3, -5, -3 in increasing order.\nAnswer: -6, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27793, -26382, -24023, -20710, -16437?\nAnswer: -11198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -15)*(2\/3 - 0). Suppose -2*z + 3*c + 75 = 2*z, q*z = 2*c + 36. What is the remainder when z is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 12*v + 6. Let d be l(13). Is -8 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -151*x + 156*x - g, 0 = 213*x - 5*g - 436 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 4713b300?\nAnswer: -4713b304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 5. Let a(r) = 4*r + 7. Let w(d) = -5*a(d) - 7*q(d). Give w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.1874 - -99.186. Let q = -250 + 192. Let g = q + x. What is g rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(189\/(-70)) + (4 - (-4 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2)**(-1\/15))**(-8))**(-42) assuming s is positive.\nAnswer: s**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116390171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3835240 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -3 + 3 + 3. Let c be (6 - b)*(-1 + 1). Let l(t) = -3*t - 5. Let g(z) = -4*z - 5. Let p(q) = 4*g(q) - 5*l(q). Calculate p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -452\/7. Suppose -r - 4*r = 0. Let a be (-28)\/(-16) - (r - -1). Put a, -2, s in ascending order.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5406699 milligrams to tonnes.\nAnswer: 0.0000000005406699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*i + 10. Let h = -7 - -10. Suppose h*b - 9 - i = 0. Solve b*f - 18 = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g**(-5))\/((g\/(g\/g**(-4)))\/g*g**(-1\/3))*((g*g**(-2))\/(g*g\/(g\/(g**(1\/11)*g))*g))**(-9\/5) assuming g is positive.\nAnswer: g**(23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153845204 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819862188?\nAnswer: 2, 3, 68321849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40144324 (base 5) in base 11?\nAnswer: 1a8500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 9166920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 - 4*k**2 + k + 10. Let n be z(4). Suppose -4*h - n + 3350 = 0. Suppose 0 = 4*b + 16, 2*s + 208 = 2*b + h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/3 - 5018*p**3\/3 + 110858*p**2 - 1756194*p - 1868724 = 0. Calculate p.\nAnswer: -2574, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/57*5\/(20\/(-21))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 8*t + 10. Let c be y(-8). Suppose 204*b + 189 = 83*b + 431. Solve c = b*d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (22962 - -9)\/3 - (3 - 3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 7*56\/49 - (-1 - 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 + 3 = 0. Calculate the remainder when (10\/20)\/(w\/(-196)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194270958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8754 greater than -2378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7)*t\/(t**(-5)\/t)*t*t**(-1\/6)*t**(1\/2))\/((t**0)**(-14)\/(t**1\/t**2)) assuming t is positive.\nAnswer: t**(163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1 + sqrt(208))*-5 - sqrt(208) - (-2 + sqrt(208) + 1)**2) - (-1*(-1 + sqrt(208)) + sqrt(208)*-1 + -4 + -2)**2) + 1.\nAnswer: -2080 - 176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, z: 5}. Give prob of sequence zlzl.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 5, j: 2, v: 1, e: 5, b: 2}. What is prob of sequence vje?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 4313?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = 24*t + 2*r + 14, 0 = 2*r - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6362769 and 5\/16967384?\nAnswer: 50902152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.116, 1.1, 3, 16, 0.5, -3 in descending order.\nAnswer: 16, 3, 1.1, 0.5, -0.116, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3*u - 3. Let s be n(-3). Suppose 8630 = 5*j + 5*r, -2*r - s = -4. What is the derivative of -1727*k**3 - 31 - 5*k**4 + j*k**3 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, -1\/5, -59.8, 0.2 in decreasing order.\nAnswer: 5, 2, 0.2, -1\/5, -4, -59.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5295 (b) -1 (c) 4057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 - -11?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 9. Let q be d(-3). Solve 5*b = -5*w + 10, 5*b + 6 + 0 = q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5681 is divided by 82.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i - i)*((6 - 5 + 3)*(-2 + 0 + 0) - 20 + 141 - 73).\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/1)\/((-198)\/264). Let s be (10 - 4) + u\/(6 - 12). Solve 0*p + 2*t + 1 = -p, -2*p + 2*t = -s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 81481*a - a**2 - 643*a**3 + 81481*a as v*a + j*a**3 + f*a**2 + l and give j.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*r**3 + 85*r**3 - 179*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -12, -34, -74, -138, -232, -362?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -353*u + 37. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -165. Let h be 6\/(-4)*1*10\/p. Which is the nearest to 2\/3? (a) h (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b0b1 (base 15) to base 12.\nAnswer: 32504a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7193\/9533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(0*r + r + r) + ((-3 + 1 + 3)*(4 - 6 + 1) - 1 - 2 + 1)*(7*r + 6*r - 4*r).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 47. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 2, w: 3}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11469 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: Collect the terms in 17*b**3 + 3*b**3 + 18*b**3.\nAnswer: 38*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = -3*o + 899. Suppose o + 300 = q. Suppose 4*d - 3*c = q - 84, 2*c + 203 = d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1874652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9046 and 242728580.\nAnswer: 242737626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 + 306. Let t = -11 - -21. What is the greatest common divisor of b and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -48.9. Which is the nearest to y? (a) -5 (b) 2\/3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21818\/13335 - -5\/1778. Calculate the common denominator of -53\/1130 and o.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*k - 336 - 186 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m - b + 7, 3*m + 3*b - 3 = 0. Let f be (-12)\/(-4) + (1 - -1). Suppose 2 = -f*h + 7. Sort m, -3, h.\nAnswer: -3, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-10)*(-60)\/(-3). Suppose 5*q - 4*c + i = 1058, 4*q - 2*c = 778. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 15801420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -406 (b) 0.2 (c) 0.15 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 13*y**2 + 3*y + 9. What is d(-13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 + 12*k - 4 + 308*k**3 + 21*k - 32*k - 20*k wrt k?\nAnswer: 1848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/4 + 5*-2. Let r(t) be the first derivative of -t**2 - 6*t + 3. Let h be r(l). Solve -2*x = -2*p + h, 2*x + 3*p + 7 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 32.57. Let b = o + -29.57. Let m = b - -30.092. Round m to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17800 - 17790. Solve -3*l - 2*j = s, -862*l - 4*j + 24 = -867*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.4 and 0.6?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6291.1 times -8743\nAnswer: -55003087.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/5 - 2\/(-10)*1. Suppose 0 = 3*d + 3*m - 111, q*m - 3*m + 4 = 0. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -681437 in 4, 3\/16, 1, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 10, x: 1, p: 2, z: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*w**2 + 543*w**3 - 814*w**2 - 554*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -102120220?\nAnswer: 102121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-5)*(12\/(-16))\/((-3)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 26*q - 45. List the prime factors of g(7).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*a - 75*a - 9*y + 27, -y = 4*a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10938, -21808, -32678, -43548, -54418?\nAnswer: -65288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)\/m)\/(m*m**5) assuming m is positive.\nAnswer: m**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f**2 + 6*f - 41. Let j(w) = -16*w**2 - 5*w + 41. Let q(i) = -6*j(i) - 5*r(i). Is q(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -5*h**7\/21 + 13*h**4\/12 + 5*h. What is the third derivative of b(v) wrt v?\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.105 - 2295.105. Let d = -2337.79 - h. Round d to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2568*f + 22 - 82 - 27219*f**2 - 2363*f**3 - 328*f**3 - 2856*f**3.\nAnswer: -3*(f + 5)*(43*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(10\/3))**29*(q*(q*q*(q**(4\/7)\/q)\/q)\/q)**(-1) assuming q is positive.\nAnswer: q**(2018\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**7\/2520 + 17*i**6\/720 - i**5\/30 + 2*i**3 - 112*i**2. Let k(y) be the third derivative of l(y). Give k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 20*m**2 - 879*m + 878. Give v(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55621.77 kilometers?\nAnswer: 55621770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -99175\/1966 != -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 586.567 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 24. Put m, -4, -9 in increasing order.\nAnswer: -9, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, 2, 0.31, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:46 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5638 + 3.76. What is r rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/24 - 1)*4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 + 31*r + 9. Let k(w) = 4*w**2 - 30*w - 8. Let j(t) = -2*c(t) - 3*k(t). Calculate the remainder when 41 is divided by j(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72569257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 115*j - 3590 - 1635 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**3 - 4*c**2*l - c**2 - 13*c*l + 4*c wrt c.\nAnswer: 30*c - 8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 1 + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*b - 1 = 0, -15*d + 5*d = -3*b - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047100 rounded to the nearest 10000?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -175142 + 2411140?\nAnswer: 2235998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 0 - 1\/3*s**2 - 3*s = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86997309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 53*y + 752. Calculate g(15).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9*(-1)\/((-18)\/9)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*o + 3*y, -2559*y = o - 2563*y + 66 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 48. Let q be (8\/20)\/((-2)\/k). Let x(z) = z + 1. Let r be x(3). Solve n - 2*y = -r*y, q*n - y = 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 3*b**5\/20 - 7*b**4\/24 + b**3 + 108*b**2. Let l(w) = -6 - 5*w + 7 + w**2 + 5*w - w. Determine 6*l(x) - v(x).\nAnswer: -3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + w - 3*w)*(0*w - 2*w + 4*w) - w**2 - w + w - w**2 - 2 + 2 + w + 4*w - 64*w**2 - 19*w**2 + w**2.\nAnswer: -80*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68599 (base 10) to base 7.\nAnswer: -403666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 6. Is o(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 834 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*k = 687*k + 184 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddmo when four letters picked without replacement from modmmodm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/11 + 26\/2. Let s(m) = m**2 - 4*m - 31. Let r be s(k). Solve 0 = -h, r = -5*b - 4*h - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from occ?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 + 7*c**4\/12 - 7*c**3\/6 - c**2 + 43*c + 1. Suppose 0*s - 32 = 4*s. Calculate n(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*-4378580.\nAnswer: 223307580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 20*q + 238 - 504 - 10*q - 13*q.\nAnswer: -3*q - 89","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -140. Find the common denominator of (-1)\/(-2) - (-1 + 46\/t) and 44\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 10, 4 in descending order.\nAnswer: 10, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -282, -285, -288?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 2 - 2*p**2 + 3 - 7*p in the form z + u*p**2 + o*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/10*(-30)\/4. Suppose -2*q - f = q. Does 13 divide (15 - 1) + (-7 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2500 - 1702. What is the remainder when q is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {m: 3, x: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 1, -4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 274 * -10.\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.1, -0.5, -3\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 58\/9, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33069000 rounded to the nearest one hundred thousand?\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52\/3 in 1\/145, -3, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12, 5, -2, 9 in descending order.\nAnswer: 12, 9, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 859150 and 2?\nAnswer: 859150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 39 = -387. Let n = -61 - l. Suppose -3*a = 11 - n. Solve 0*d - 15 = -a*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 - 53063\nAnswer: -53063.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2452 - 2?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 12*z - 22. Give g(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -107857?\nAnswer: 107852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(0 - 1) + 179. Let n = -169 + i. Suppose -3*q - 175 = -5*g, 5*g - 213 = 5*q - 38. Calculate the remainder when g is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9160*q**2*z**3 + q**2*z**2 - 38528*q*z**2 - 2*z**4 wrt z?\nAnswer: 54960*q**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b)**(8\/11))**(-49)\/(b**(1\/5)\/(b**(-1\/5)*b))**20 assuming b is positive.\nAnswer: b**(720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -6, 0 = -4*h - 5*f + 294 + 160. Suppose -m = 3*m - h. Suppose -4*p + m + 3 = 0. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -146bc729 + -2?\nAnswer: -146bc72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let i be o(-2). Let w be -4 - (2 - 12\/i). Let a be (-7)\/w - 12\/(-18). Solve a = c, -4*y = c + 2*c - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1137.5 - 1138. What is the fourth smallest value in -80, 2\/13, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 + -115. Let w = 93.8 - g. What is the third smallest value in 3\/4, -2, 0, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -22*m**3 - m**2 - m + 1. Let a(b) = -b**3. Let x(s) = -a(s) - r(s). Let k be x(1). Suppose -g = 2*g - k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20974, -3 in descending order.\nAnswer: 20974, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 27*h. Let d(s) = -s + 5. Give d(v(x)).\nAnswer: -27*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = 112. Let u be a\/(-6) + (30\/(-18) - -2). Let r be u\/((-90)\/(-2627996)) - 2\/(-9). Round r to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*u + 4*y, 10*u + 5*y - 11 = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50233\/(-3))\/(10\/3). Let b = -5018 - s. What is the common denominator of 99\/14 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/56 and 75\/2816.\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (774\/(-15))\/(8\/(160\/(-6))). Suppose -4*b + 1586 = i, -3*i = -4*b + 799 + 795. Let l = b - n. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*x. Let f be 1*(0\/(-3) - -5). Suppose x = f*r + 25, -2*l + 91 = -4*r - r. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2139 + 2138.999990475. What is x rounded to 7 dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 3. Suppose -2*p - 5*l = -4 - 37, -2*p + 2*l = -6. Calculate the remainder when b(16) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from qdokozc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/60 + 0 + 1\/(-6). Suppose -6*s + 6 + q = 0. Suppose 2*r + 5 + s = 0, -r = -w + 15. Calculate the least common multiple of w and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/481 - 2243\/12987. Let q be 202\/(-108)*((-77)\/7)\/(-22). Let a = q - g. Is -2 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 3*s**4 + 6*s**4 + (-21 - 5*s + 21)*(-s**3 + 2*s**3 + 5*s**3).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050397 rounded to 6 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -213\/7, 1.54, 237?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 i when three letters picked without replacement from iqiicclccaiqal?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054\/335 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.9037 + -0.0963. What is the third biggest value in 1\/8, 1\/2, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q - 61*q + 101*q + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15118*k**2 + 6690*k**2 + 6429*k**2.\nAnswer: -1999*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*q = 4*y - 3, -5*y + 5*q = 0. Let a(b) = -3 - b**2 + b + 2*b + 4*b**2. Let k be a(-3). What is the highest common factor of y and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 - -131. Let k = -79 - t. Suppose -5*y + 1870 + 2325 = k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230694?\nAnswer: 2, 3, 38449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from {t: 2, z: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 198803351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h**2)*(h + 7*h**3 - 5*h - 5*h**3).\nAnswer: -2*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**4 - 1\/90*a**5 + 0 + 1\/315*a**7 + 0*a + 1\/180*a**6 + 0*a**3 - 1\/504*a**8 - 3*a**2. Solve q(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**4 + 75*l**3 - 270*l?\nAnswer: 36*l**2 + 450*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1173909583.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 205\/6. Let k = -93.6 - -94. What is the closest to 0.1 in -0.3, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.8 - 249.6. Let u = -326 - r. Which is the closest to 5? (a) -0.5 (b) -6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + 2 + -1. Let x = -393.7 + 394. What is the nearest to a in 5\/4, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*y = -2194*y + 1365*y - 87872 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 + 377. Let a be (-666)\/(-14) + 30\/70. Calculate the greatest common factor of a and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*2*sqrt(84))\/(sqrt(12) + (sqrt(768) - (sqrt(768) - sqrt(768)*-1))))**2.\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00200497 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 178 (b) -0.1 (c) -417 (d) 3.8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16318451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 34 + 56 = 2*m, m - 15 = -2*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 37*f + 31. Let u be y(19). Suppose 6*a = 2*a + 4*v - u, a - 5*v = -23. Solve -o + a = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovawowwaoewvowoooe. Give prob of picking 1 o and 1 a.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -42*r - 3. Calculate the remainder when k(-1) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 40068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3718 + -0.5\nAnswer: -3718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 118, 1\/8 in ascending order.\nAnswer: 1\/8, 33, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2*(4 + 21\/(-7)). Let n(z) be the third derivative of t*z**4 + 0*z + 0 + 0*z**3 - 1\/300*z**6 + z**2 - 1\/150*z**5. Find h such that n(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.551685 and -1.\nAnswer: 0.551685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1612 - 12945\/8. What is the common denominator of z and -37\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 5*h**2. Suppose -8914*c + 291 = -9011*c. Let t(k) = k**3 - 4*k**2. Let p = 1 + 1. Determine c*t(n) + p*i(n).\nAnswer: n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-441 + 525)\/(80\/(-2)).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = -0*i - 4*k, -k = 3. Suppose 6 + 10 = i*h. What is the smallest common multiple of h and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + sqrt(300)*2)**2 + ((-4*sqrt(300)*-3)**2 - sqrt(300)) - -4*(4*(sqrt(300) + (sqrt(300) + 0)**2) - (sqrt(300) - (0 + sqrt(300) + -1)**2))).\nAnswer: -302574 + 1020*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2*n**3 - n. Let h(b) = b**2 + 15. Let y(i) = -6. Let v(u) = 2*h(u) + 5*y(u). What is v(d(k))?\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11727466 smaller than 11727449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/103 (b) 0.2 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 - r + 15. Let o be l(4). Put 4, o, -1, -3 in increasing order.\nAnswer: o, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1682047000 to the nearest one million.\nAnswer: 1682000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-6)\/(-9)*3. Let y(j) = 4*j - 6. Let q(m) = -4*m + 5. Let x(f) = -5*q(f) - 4*y(f). Give x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Suppose v = 3*i - 0*i - 6. Solve 0 = -2*j + i*q - 12, -4*j - q = q + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 3, -3, 2, 1 in descending order.\nAnswer: 3, 2, 1, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52373000 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 - x + 6. Let f(d) = d**2 + d - 1. Let u(p) = 6*f(p) + n(p). Let r be u(4). Solve k = -r*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-969)\/(-95) + -6 + 16\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59 and 18857485797?\nAnswer: 18857485856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33807615?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -37\/3, -114, -1?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqq. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67859515?\nAnswer: 5, 13571903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 41196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83*-0.32\nAnswer: 26.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.66 + 0.6613. Round y to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 420 = -5*o, o + 3*b - 84 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 18*y + 114. Let p be r(-6). Suppose -5*g + p*w - w = -3400, 0 = 3*g - w - 2042. What are the prime factors of g?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -8*g**5\/3 + 10*g**4 + 103*g**3 + 593*g**2\/3 + 88*g - 36 = 0.\nAnswer: -2, -3\/2, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769766918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4098\nAnswer: 1\/2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Which is the closest to l? (a) 1\/3 (b) -7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -102*c + 107*c - 14258, 4*c + 8 = 0. What are the prime factors of d?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39370 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -673 + -73.\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 60, 229, 560, 1107?\n\"Answer: 9*s**3 - 2*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 2504948*x + 784345560338.\nAnswer: 2*(x - 626237)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2\/5 + 81681*b\/5 + 81666 = 0. What is b?\nAnswer: -27222, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1.9, -3 in ascending order.\nAnswer: -3, -0.4, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 - 102*u**3 + 104*u**3 - 100 - 252.\nAnswer: 2*u**3 - 493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3221.5 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2443, 2448, 2453, 2458?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9 + (-76)\/(-57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30489*q*r - 32*q - 717*r + 4559260 with respect to r.\nAnswer: 30489*q - 717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - a + 3*a + 0 + 0 + a + (0 - 1 - 1)*(0*a + a - 2*a) + 2*a - 4 + 4 + a + 1 - 1)*(-152 + 86 - 3).\nAnswer: -69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2, -2\/21, 456.8.\nAnswer: -2\/21, 0.6, 2, 456.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152241.\nAnswer: 3, 31, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/4*220\/(-99). What is the third derivative of 76*h**3 - l - 16*h**2 + 17*h**2 + 0*h**2 wrt h?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -0*n, 4*o = -5*n - 31. Let l be o\/(-49) + 52\/14. Suppose l*i = 3*i - 6*i. Which is the smallest value? (a) i (b) -4 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 137*r. Let w(t) = -t**3 - 3*t**2 + 5*t + 5. Let v be w(-4). What are the prime factors of o(v)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.99 + -0.01. Let y = 0.8 + -1. Let w be (-63)\/(-165) + 4\/(-22). Which is the nearest to y? (a) -3\/4 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*126\/(-5586)*(-14)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117844099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*j + 10, -43*j + 44*j + 8 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2242612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*o + 28, 0 = 3*x + 2*o - 3*o - 27. Solve -2*j - 22 = -4*i - 6, -2*j = -2*i + x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260158 (base 10) to base 12\nAnswer: 10667a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 61089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15331112 to the power of 1\/2, to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16504544 to the power of 1\/2, to the nearest integer?\nAnswer: 4063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 441 + 55?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18337132 and 26224?\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h**5 - 2*h**3 - 11\/210*h**7 + 0*h**4 - 12*h**2 + 0 + 0*h**6 + 0*h. Differentiate i(p) with respect to p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-1 - 4\/(-3)). Calculate the highest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d - 230 = 165 - 75 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82617431 to the nearest integer?\nAnswer: 9089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1419, -6410, -14729, -26376?\n\"Answer: -1664*x**2 + x + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + -7 - 51\/(-9).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from {x: 5, f: 1, y: 11}.\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -686, -56, -1, -4, 4 in descending order.\nAnswer: 4, -1, -4, -8, -56, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l**2 - 16*l - 7. Let f(t) = 34*t**2 - 11*t - 5. Give 7*f(r) - 5*s(r).\nAnswer: -17*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -463625?\nAnswer: 463622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(475\/(-62510)*8\/(-10))\/((-12)\/(-21))?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(8\/(-6)))\/((-18)\/24). Let p be (1*(2 - v)\/3)\/(-2). Suppose 7*z + 147 = -p*z. Round z to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 39\/35?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 222. Let x(n) = -6*n**3 + 9*n**2 - 10*n + 8. Let v(h) = 6*h**3 - 8*h**2 + 9*h - 7. Let o(z) = 6*v(z) + 5*x(z). Does 14 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 16*w**2 + 76 in the form c*w**2 + a + x*w and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515224816 to the power of 1\/3, to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 16. Let d be w(-13). Suppose 0 = -4*n - 3*c - 67 - d, -n - 3*c = 25. Calculate the remainder when 46 is divided by -2 + 0 - (n + 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18023141 to the nearest integer?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeqseeeeeeoeuseoqq. What is prob of sequence oe?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 758, 1505, 2252, 2999, 3746, 4493?\n\"Answer: 747*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = 3*d - 0*s, -d - 2*s - 4 = 0. Suppose d = -2*h + 2*p + 22, -5*h + 5*p = -h - 47. Suppose -4*q + 116 = h. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10549790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((19 - -1) + -55 + (-24 - -20)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 3 (c) 0.06 (d) 20 (e) 0.4 (f) 498 (g) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3817?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2. Let s(h) be the third derivative of -h**4\/24 + h**2. What is z(s(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-2) + 3)*-38. Suppose 7*i - 447 = s. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**3\/15 + 13*l**2\/5 - 24*l\/5 + 531. Factor g(u).\nAnswer: -2*(u - 12)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 6) to base 3.\nAnswer: -202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 3*l + 5 - 2. Let m(g) = -8*g - 13. Let h(v) = -6*m(v) - 26*q(v). Let b(d) = d. Give h(b(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29228, 57875, 86522, 115169, 143816, 172463?\nAnswer: 201110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -81, -80, -79, -78, -77?\n\"Answer: g - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259440?\nAnswer: 2, 3, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*m + 2*m, -3*y = -2*m. Suppose 4*r = r + y*x + 6, 8 = 4*r + x. Find the third derivative of -6*z**2 + 2*z**2 + r*z**4 + 0*z**2 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:19 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 336*d + 448. Let f(o) = -21*o - 28. Let c(r) = 49*f(r) + 3*k(r). What is the first derivative of c(s) wrt s?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/15)\/((-5)\/3*-177*12\/(-354))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 - 304. Let f(z) = 67*z**2 + 27*z**2 + 33*z**2 - y*z**2. Let u(t) = -2*t**2. Give f(u(j)).\nAnswer: 456*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-2 + -1 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -24, 0, 2, -34 in increasing order.\nAnswer: -34, -24, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41902181 to the power of 1\/2, to the nearest integer?\nAnswer: 6473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116439995 and 0.4.\nAnswer: -46575998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -4)*10\/16. Let q = -125.65 + 125. Let n = 0.35 - q. Sort u, -1\/8, n, 1\/6 in descending order.\nAnswer: n, 1\/6, -1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from {f: 2, i: 2, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 245861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/7 - 348*t\/7 + 1360\/7 = 0.\nAnswer: 4, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 42. Let b be y(-22). Is (b - 261\/(-2))*(22 + -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 1 + 0 - w)*(24 - 9 + 7).\nAnswer: 44*w + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-45)*(-116755)\/(-34412)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(71\/(-1491))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*k*u**4 - k*u**2 + 119*k*u + 7*u**5 wrt u?\nAnswer: 720*k*u + 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/35 or -2?\nAnswer: -18\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 1, c: 1, q: 1, k: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*p - 19790, -5*p + 6620 = k - p. Suppose -2*g - 1 = -11. Suppose 0 = -g*r - q + k, -3*q + 2663 = 2*r + 2*q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121 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: Let j = 86 - 77. Let i(z) = -3*z**3 + 234 + 6*z + 236 + 4*z**3 - 448 - 10*z**2. Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112191 divided by -45.\nAnswer: -37397\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1530 and -46\/15?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47770.\nAnswer: 2, 5, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17478, 1, 4 in decreasing order.\nAnswer: 17478, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -14*a**5 - 440*a**4\/9 - 382*a**3\/9 + 4*a**2 + 88*a\/9 - 16\/9 = 0.\nAnswer: -2, -1, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4041*z + 16200. Calculate m(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 - 10.9. Let x = 2.2 + o. What is the third smallest value in x, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-3) - (-4)\/(-12). Let z be 1 - (-4 - (-2)\/2). Let v = q - z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24012 (base 5) to base 9.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 3*r + 3. Let a be (96\/3)\/4 + -8 + 3. Suppose a*h = -3*f - 9, -20*f + 15*f = -3*h + 31. Give g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p - 4*p)*(-p + p + p)*(-5*p**2 + 5*p**2 - 2*p**2) in the form j + o*p**3 + u*p**4 + f*p**2 + s*p and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7, -0.2, -2\/9, 109?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*q - 2877 = -2944 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 6.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*k - 126 - 114, 3*k = -2*h + 147. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0.115?\nAnswer: -0.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8323.834 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-72)\/(-2))\/(15\/(-70)). Suppose -r + 4*q - 2*q = 20, -5*r + 2*q - 60 = 0. What is the tens digit of p\/r + 2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0*i**4 + 26*i**2 + 24*i + 41\/10*i**5 + 0*i**3 + 0. What is the derivative of j(x) wrt x?\nAnswer: 246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, 1\/28, -20, 0, 1\/11 in decreasing order.\nAnswer: 0.1, 1\/11, 1\/28, 0, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3053.965 - -17116438.965. Let y = -17113358.00000125 + t. Let k = -27 + y. Round k to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477519 divided by -5\nAnswer: -477519\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -2*f + 5, 2*f - 5*x + 15 = 0. Suppose 0*a + f*a = 30. Suppose a*v = 10*v - 12. Solve 0 = 5*l + 17 + v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 207, 221, 239, 261, 287, 317?\n\"Answer: 2*g**2 + 8*g + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (-6 + 0) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/15 - 47684*a\/15 - 9538 = 0?\nAnswer: -3, 23845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/132 and 67\/21142.\nAnswer: 126852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 7*z**3\/6 + 6*z**2 - z. Is n(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(208) - sqrt(208)) + -3 + 4 + (-2 + -1 + sqrt(208) - (2*sqrt(208)*-1)**2) + 1.\nAnswer: -837 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2556964 and 0.14.\nAnswer: 2556964.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*j - 84, 4*j = 3*i + 2*i + 222. Let p = i - -48. Suppose 5*h**3 - 3*h**3 - 7*h**3 - p*h**2 + 7*h**3 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 47*c**2 - 1641*c - 134. Let v be z(35). Solve -7539*a = -7533*a + v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319185 divided by -63837?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 10*g + 2. Let l(k) = 4*k**2 - 41*k + 9. Let v be ((-3)\/(-2) - -1)*(-57)\/(570\/8). Determine v*l(s) + 9*u(s).\nAnswer: s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8776?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:37 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.0168 + -79. What is x rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -9*q + 553. Let k = -4 + -10. Let v = k + 20. What is the highest common factor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 8 - -5) + (-960)\/1280\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**3 - 13 + 8*j**2 + 7*j + 6*j + 6*j**3. Let f be s(9). Suppose y = -f + 114. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 12\/11, -5, -2\/31 in descending order.\nAnswer: 12\/11, -2\/31, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5439509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3290, 3291, 3292, 3293?\nAnswer: 3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 3 in ascending order.\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) 0.4 (c) -7\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 54. Let b(d) = -10. Let z(f) = 6*b(f) + i(f). Let u(w) = 7*w**2. Calculate u(z(o)).\nAnswer: 700*o**2 + 840*o + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.5 (c) -1052687 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-6) - (-1)\/(-3). Let p = i + 4. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*i - 51 = 3*o, -131 = 4*o - 63 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 - -239. What is the remainder when u is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1174, 4676, 10554, 18808, 29438?\nAnswer: 42444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85718 or -404.5?\nAnswer: -404.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68173 divided by -9739.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 0*d. Solve -d*l = 4*t + 12, -t - 3*l - 14 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1823 - 52?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 131709*b**4 - 1580211*b**3 + 5925435*b**2 - 6583650*b = 0. Calculate b.\nAnswer: 0, 2, 5, 43891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let k(b) = -1 + b**2 - 1 + x. Let q(c) = c + 2*c + 3*c. What is q(k(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + (52 + (-109 - -55) - (0 + -7))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*r + 5776 = 882, 0 = -5*r + 40. Solve 0 = 6*y + g - 2453 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 154 = -3*x, -x + 28 = -4*d. Let n = x + -191\/4. Let f(b) = -b**2 - 8*b - 6. Let s be f(-7). What is the nearest to n in 0.4, s, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 2625?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 1 - 9. Solve -3*i + 0*i = 2*m - 3, 5*m - i + f = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9538, 19466, 29384, 39286, 49166?\nAnswer: 59018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 12:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65245 rounded to two dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.2, -5, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (37 - 4) + 0 - (5 - 2). Let l(x) = -x**2 + 26*x + 127. Let u be l(c). Let y = 16 + -11. Put y, 0, u in decreasing order.\nAnswer: u, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*m + 142*m + 278 - 2683 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53188889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 2780*z**2 + 979800*z + 9522000.\nAnswer: 2*(z + 10)*(z + 690)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 174\/15 - 2\/(-5). Suppose 5*r - t = 13. Suppose 3*o = r*o - 152. Does 38 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/54)\/((-49236)\/(-1188) - 41).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/4)\/((-2)\/(-8)). Suppose -3*j = q*r + 16, 4*j - 5*j = 2*r + 7. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -17. Let n(h) = -10*h**2 - h + 1. Let z be n(r). Let k = 134 + z. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41190454*t - 946467383 wrt t.\nAnswer: 41190454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m - 3. Let f be z(1). Suppose 0*j + f*j = -5*i + 558, 0 = 5*i + 5*j - 555. What is the lowest common multiple of i and 22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*l - 7, -5 = -0*l + 5*l. Let c be 46 + -3 + 0 + 1. Suppose -4*f + 53 = i, -3*f - i - 4*i = -c. What is the remainder when f is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215906 rounded to the nearest one hundred?\nAnswer: 215900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -27)*(-25)\/20. Let j = 32 + n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58818492?\nAnswer: 2, 3, 1633847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 61. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 47 = -s + t, -4*s - 3*t + 181 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = 0. Let s(z) = z + 2. Let i be s(h). Suppose 5*w + 96 + 24 = i*c, -3*c + 163 = w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108214742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2 - 11*g**2 - 5*g**2. Let v(y) = -y. What is m(v(a))?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3306 and (5 - (-33208)\/(-7714)) + 7\/((-42)\/4)?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let p(k) = -k - 3446. What is s(p(z))?\nAnswer: -2*z - 6892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1)\/3 - (-321 - 1065) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let y(t) = 3*t**2 - 5*t - 6. Let u(v) = -2*k(v) - y(v). Let d = -12 + 17. Suppose q = z - 0*z + 11, -d*q - 4*z = -10. Give u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 24. Suppose -v = -17*c + 14*c. Solve -12 = 4*t - 4*y, -t - 6 = -c*t - 2*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886063 is divided by 442960?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*l = -401*l + 207. Let u(j) = -2*j**2 + 9*j - 5. What is u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105083\/74802 - -2\/37401. Find the common denominator of (-897)\/504 + (-1)\/(-3) and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**5 - u**3 - 4*u**2 - u - 1. Let t(x) = x**5 + x**3 + x**2 + x + 1. Let j(a) = -2*t(a) - 2*v(a). What is the third derivative of j(y) wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.92 - -0.18. Let b = -3 + n. Sort b, 3, 0.4 in descending order.\nAnswer: 3, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234698, 469387, 704066, 938735, 1173394?\nAnswer: 1408043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211 - -215 - (1 + -5 - (-7 + 10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -3.94596341 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*x**4 - 3*m**2*x**2 - m**2 - 38*m*x**3 - 18532*m*x - 701*x**3 + x**2 wrt x.\nAnswer: 48*m**2*x - 228*m - 4206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8413, 32900, 73723, 130894, 204425?\nAnswer: 294328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 674 + 293. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90.9? (a) 4 (b) 0 (c) 0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40504838 and 2222.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297726?\nAnswer: 2, 648863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose 13 + n = 4*b. Find the second derivative of -2*o + o**3 - 3*o + b*o wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4, 1, -0.1145, 2\/7 in decreasing order.\nAnswer: 4, 1, 2\/7, 0.07, -0.1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 32. Suppose q = 2*n - 40, q - 86 = -5*n - 0*q. Calculate the remainder when u is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12733170 is divided by 193.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3226853599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -40. Suppose 5 = 4*z + z. Let a = z + h. Solve -a*g - 19 = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13519\/7 - 1926. Let x = n - 5. Factor 0 + 6\/7*c + x*c**2.\nAnswer: 2*c*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1170 - -4926. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 20 = 22*z + 2*y - 30, 0 = 45*y - 49*y + 28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/55644 and -139\/4368054?\nAnswer: 8736108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2428*s - 12135. Let k be h(5). Solve -3*d - 2 = u, 13 + 35 = -k*u + 4*d for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 12. Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Find the second derivative of -a*c + 0*c**2 + c**2 - c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (1*78)\/3. Suppose -q + 4 - 1 = k, -q - 15 = -5*k. Suppose 0 = -3*z - 15, k*f = 2*f + z + p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1420\/7931 + 2\/721. Which is the nearest to -58? (a) 4\/7 (b) y (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*p + 2, -p + 1 = 2. Let g be t + 0 + -2 - 1. Let s be (-2)\/5 - (-32)\/30. What is the closest to -2\/3 in g, s, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 506 - 559 - (48 + 9).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3, -332, 4, 0.4 in increasing order.\nAnswer: -332, -3, 2\/7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 + 10?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*m = 3*z - 6, -4*m = 0. Suppose -5*y + 23 = -z*y + 2*j, -y = -2*j - 13. Differentiate -11 + 0*u - 2*u + y*u + 0*u wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/7)\/((-7575)\/(-17675))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7*j - 9*j - 32 = 0, -4*s - j + 83 = 0. Let q = 23 - s. Suppose i = -4*b + 15 - q, -i - 3*b + 11 = 0. Is 16\/9 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:18 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 2923748153.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.95566 to two dps.\nAnswer: -185.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5706423, 11412839, 17119251, 22825659, 28532063?\n\"Answer: -2*c**2 + 5706422*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21566287063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 6\/(-4) - 54\/36. Which is the second biggest value? (a) -7 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w + 3. Let i be c(-5). Suppose -186 = -12*b + i. Calculate the remainder when b is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {z: 14, t: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 58 = -k + 3*k, 2*k = p + 67. Calculate the remainder when 67 is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 79132*s + 79156. Give c(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69852*v**2 + 221*v**3 + 69852*v**2 - 223*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -100.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {h: 2, g: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 712, -3708.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30*15)\/9*3\/20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 996570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*j + 32*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v + 72. List the prime factors of m(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -85?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7870.597l to millilitres.\nAnswer: 7870597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5468553 microseconds to seconds.\nAnswer: 0.0000005468553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283750501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -1. Let l be (-76)\/10 + 12\/(-30). List the prime factors of (1 + d)*l\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 - 10*k**3 - 29*k**2\/2 + 12*k - 25. Let x be z(-29). Solve 3*p - x = 4*q, -4*q + 3*p - 8 = p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:57 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 518.\nAnswer: -3\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 659547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235868*b**2 - 235883*b**2 + 471787*b**2.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1 plus -5945.7?\nAnswer: -5937.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:11 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 60*q. Let g(t) = 111*t**2 - 2. What is g(u(k))?\nAnswer: 399600*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)\/(j\/(j*j**1*j)*j)*(j\/(j\/j**4))\/j*j\/j**3 assuming j is positive.\nAnswer: j**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 996 + 996.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 13. Let n(x) = -x - 5. Let v be n(-14). Suppose d - v = m. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 5. Let j = 37 + -29. Suppose -i - i = -j. Suppose 0 = -i*c + u - 19, -c - 10 = -0*c - 2*u. Calculate s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 53*n + 110. Let p be m(-2). Solve 0 = p*u - 4*h - 8, 0*u + h + 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1 = u + 2*f, 3*u + f = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.3, 3, -1\/5, 12116, -2\/3 in descending order.\nAnswer: 12116, 15, 3, -1\/5, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -18*a + 15. Let g be (1 + (-9 - a))*-1. Solve -1 = -2*x - g, 5*j + 5*x = -25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and ((-50)\/4 - 0)\/(3\/(-6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 50*w\/7.\nAnswer: -2*w*(w + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 7*m - 10. Give h(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/120 - 7*c**5\/60 + c**4\/12 + 7*c**3\/6 - 14*c**2. Let z be v(-7). Is z smaller than -39\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66364020, -66364018, -66364016, -66364014, -66364012?\n\"Answer: 2*y - 66364022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34206, 136794, 307766, 547116, 854838, 1230926, 1675374, 2188176?\nAnswer: 2769326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -4, 4, 0.031, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -269, -241, -203, -149, -73, 31?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 808529 and -716?\nAnswer: 809245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 120*x - 81 = 101*x + 14*x, -3*r = x - 128 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**3 + b**2 + 23*b + 1441.\nAnswer: 3*b**2 + 2*b + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87713*z - 620884*z - 202390*z + 87371*z.\nAnswer: -823616*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 95*y + 526. Determine n(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let p(b) = -5*b**2 - b. Determine -p(z) + 2*v(z).\nAnswer: 5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 5. Suppose 0 = -m - 5*l + 19, -2*l = 2*m - 0*m - 6. Calculate the remainder when t(-5) is divided by 8 + (m - 4\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 5903\nAnswer: 4\/5903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a + 5. Let p(v) = 2*v - 1. Let w(b) = 2*c(b) + 9*p(b). Suppose 0 = 5*x - 4 - 11. Is w(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-5*-5)**2.\nAnswer: 312500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gixikxsikx. What is prob of sequence isk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17764 is divided by 382.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 11*p - 34 = 3*h, 3*p + 18 = -3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3734712*k**2 + 2236874*k.\nAnswer: 7469424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -494024, -988046, -1482068, -1976090, -2470112, -2964134?\n\"Answer: -494022*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -48*o - 4 - 28 + 59*o + 15*o**2 + 0*o**3 + o**3. Let v be l(-14). Let a be 316\/(-44) - v\/(-55). Let y(m) = -m**2 - 8*m. Give y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*f - 28 - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*b + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 * 6428.7.\nAnswer: -1144308.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 10 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*i - 24, 4*x + 29*i - 28*i - 21 = 0. Solve -4*b = -7*b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 16*i - 2940. Suppose 3*c + 2*c - i = 0. Solve -3*j = -3*h - 24, 0 = 5*h + j - 2*j + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 64 - 2. Suppose 5*j + d - 772 = 0, 30*j = 26*j - 3*d + 611. Calculate the greatest common factor of f and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Suppose j = 5*g + 80, -4*g = -l*j + 406 - 111. Suppose -5*w + 275 = -s, 0*w + w - j = 4*s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 2, m: 3, x: 1, r: 4}. What is prob of sequence rxrm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18392)\/(-3) + 7 + (-3)\/((-9)\/(-20)). Which is smaller: u or 6132?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 314160?\nAnswer: 314160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 23 - ((13 - 8) + -37).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-51) - 0). Suppose -p = 2*p - 9, l + 5*p - m = 0. Solve l*u - 5 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6770*c**2*n - 18*c**2*y - 2*c*n*y + 110*c*n + 147*c*y + n*y wrt c.\nAnswer: 13540*n - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, j: 3, y: 1, c: 5, w: 1}. What is prob of sequence yw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 73. Let f be a(24). Suppose 7*h = 218 + f. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:23 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*q**2 + 9*q**3 + 193*q**2 - 8*q**3 + 17*q**4 - 96*q**2 in the form i*q**4 + v + s*q**3 + k*q**2 + r*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -3?\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + 4.83?\nAnswer: 87.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/120 + n**4\/6 + n**3\/2 - 9*n**2. Let t be c(-2). Solve -t*q - 15 = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 2888153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 14. Let z be k(0). Let s = z + 92. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 + -518. Let i(s) = -s**2 - 16*s + 20. What is i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-2))\/(-21)*((-6)\/2)\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/45 - t**5\/30 - t**4\/9 - 4*t. What is o in h(o) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 86 - 114 = 5*z, -5*i = 5*z + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 78c0?\nAnswer: 78c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563\/5 + -113. Let i be (-14)\/(-4) - 2\/(-4). Suppose 0*h - i*h - 4 = 0. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -5740311?\nAnswer: -5740312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 39. Let g(n) = 6*n**2 + 7*n + 5. Let a be (-30)\/20*(-2 - 0). Let r(k) = -12 + a + 5 - 6*k - 5*k**2. Determine q*g(m) - 5*r(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -77, -4, 35, -8 in descending order.\nAnswer: 35, -1, -4, -8, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 - -1))\/(90\/450)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0298 - -0.0298. Which is the closest to 0.1? (a) -2 (b) 1 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 130*y - 3. Is 8 a factor of l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiiizfhhff. What is prob of picking 1 h, 1 f, and 2 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:38 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131162 - 8*t + 65557 + 65403 to the form c + m*t and give c.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455 divided by 5?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 - -7b68b?\nAnswer: 7b638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9843 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5701095027?\nAnswer: 3, 17, 19, 233, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86670 * 0.0193.\nAnswer: -1672.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4)*z)**(-7)\/(z**17*z*(z\/(z**(-1\/3)\/z))\/z))**3 assuming z is positive.\nAnswer: z**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 825?\nAnswer: 47850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 - -136. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/5723 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 16. Let j be (114\/24)\/(n\/(-20)). Let s = 261 + j. What is s rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 - 15*o + 9*o + 3*o. Let u(k) = -k**2 - k - 1. Let v be u(-1). Let p(r) = -r**2 - r - 1. Give v*g(z) + 3*p(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -111. Suppose 12*j - 22*j + 38410 = z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 = 9*i. Factor 9*t**2 - 3*t**5 - 56*t**i + 4*t - 4*t**4 - t**4 + 59*t**3.\nAnswer: -t*(t + 1)**3*(3*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + 41. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 4. Suppose 2*d + d - 6 = 0. Find the third derivative of 0*t**r + t**4 - 3*t**4 - 2*t**d wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - (42\/(-12)*3954 - -9)?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from dxkxo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m - 1. Suppose 120*p - 124*p = 5 - 1. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3 + -2 - (sqrt(700) - sqrt(700)*-4)**2 - (-4*(sqrt(560) + sqrt(35)))\/(sqrt(50)\/(sqrt(10)*1)).\nAnswer: -17499 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-6)*(-4)\/(-5). Suppose -x*y - 3*w = -2, 4*y = 2*w - 4*w + 4. Suppose -4*o + 0*s = -s + 452001, -s + y = 0. Round o to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 35. Let i = p - -24. Suppose 3*y - 2*y + z = 28, -4*z = -5*y + 140. Calculate the greatest common divisor of i and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*f + 8. Let y(t) = 22*t**3 - 16*t**2 - 16*t. Let c(i) = -7*i**3 + 5*i**2 + 5*i. Give f*c(o) + 5*y(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from houhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154035735.\nAnswer: 5, 17, 37, 83, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*-1*-58. Suppose -2*y + 5*y - 3*k - 195 = 0, 0 = -y + 4*k + 71. Let h = a + y. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:52 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 2033246588.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 32*h + 32. Calculate i(8).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3028, 2, -160 in increasing order.\nAnswer: -3028, -160, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynn when four letters picked without replacement from qbfbbynqqbyqbn.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(1300)*-1 + 4 + -3).\nAnswer: 3 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 10*p + 12. Let n be r(11). Let l(g) = g**2 + 6 + 0*g + n - 6*g - 6. Let a be l(7). What is the highest common divisor of a and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*m + 5 = 0, -2*m - 1 - 13 = -2*i. Differentiate i - 5 - 3*w + 6 + 3 wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.062 - -34.062. Let j = 19 - d. Let o = 14.9986 + j. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586872289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, q: 4, o: 5, k: 1, w: 4, v: 2}. Give prob of sequence vqvw.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d98a (base 14) to base 2.\nAnswer: 100101010011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39147, -156709, -352645, -626955?\nAnswer: -979639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1156a7 - 188?\nAnswer: 11551a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6, 2*i = -l + 4*i + 17. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164095088 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 454 - 86*s - 3*s**2 - 317 - 139 in the form b*s + m*s**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23557962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i - 13. Suppose -3 = 2*n - 3*p - 0, 5*n - 6 = 3*p. Let f be n\/(-5) + (-630)\/75. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204428520, 204428521, 204428522, 204428523?\nAnswer: 204428524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-27) + 7)\/((-7)\/63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -125470, -250930, -376392, -501856, -627322?\n\"Answer: -d**2 - 125457*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288946 and 1138.\nAnswer: 164410274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s. Let g be a(-2). Suppose 5*h = -15, 5*h = 4*b + g*h - 33. Suppose 3 + b = 2*q. Calculate the smallest common multiple of q and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 + 9*c - 36. Let z(v) = 6*v**2 + 7*v - 44. Determine 4*b(j) - 5*z(j).\nAnswer: -2*j**2 + j + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11 + 10 + 17*q**2 + 17 - 5 wrt q?\nAnswer: 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 + 6*w - 29. What is a(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*k - 134827 = -9*k, -m + 5*k + 134782 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1287*d*y**3 + 6755*d*y**2 - 8081*d*y - 12*y - 546 wrt y.\nAnswer: -7722*d*y + 13510*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + -0.4?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1379378240.0000037 + -1379378156. Let x = -54 - -138. Let f = c - x. What is f rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1747 - -10519\/6. Let s be (-1)\/19*(-1)\/521. Let c = 801841\/217778 - s. Find the common denominator of c and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s**3 - 53*s**3 - 47*s**3 + 237*s**3 - 49*s**3 - 38*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 358205 + -2?\nAnswer: 358203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 - -3.42. Let f = w - 0.82. What is the closest to 0.2 in 6, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74589 by -12529.\nAnswer: 74589\/12529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 34 - 24 = 0. Suppose -f*d = 6*d + 80. What are the prime factors of (-4)\/d - (6 - (-1764)\/(-15))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12*v - v**2 - 1 + 2*v - 7*v. Let w be z(-17). Which is the smallest value? (a) w (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:15 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 210794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 271569 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: Let f = -47 - -190. Calculate the greatest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. Suppose 3*u = 4*v - 104, 0 = 3*v - x*u - 36 - 53. Differentiate -17*y - 9*y + v*y + 24 with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -972979*d**2*u**2 + 9*d**2*u + 4*d*u**2 + 1149*d*u + 3*d + 25 wrt d?\nAnswer: -1945958*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 - -2 - (-15)\/5. Let z = 28 - p. Let j(i) be the second derivative of i**4\/12 - 5*i**3\/6 - i**2\/2 + i. What is j(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - c + 1. Let m(u) = 3*u**3 - 8*u**2 + 9*u - 3. Let h(w) = 2*f(w) + m(w). Suppose 2*t - 12 = -2. Calculate h(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-3 - -13) + (-3 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10404615 divided by 1165?\nAnswer: -8931","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162554, -325107, -487660?\nAnswer: -650213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 65478312 and -142.2.\nAnswer: 65478169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 69 (c) -2 (d) -0.4 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -2, -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 11*v**2 + 7*v + 20. Let k be m(12). Let y = -32 - k. Let w(z) = -z**2 + 9*z + 2. Calculate the remainder when w(4) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17*x**2 - 12*x - 15. Suppose -3*t + 0*j + 42 = 2*j, -5*t + 70 = -5*j. Let o be z(t). What is the highest common factor of 45 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-35))\/(((-36)\/(-600))\/((-12)\/10))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 9, 4*f - 2*i - 2 = 0. What is the tens digit of 97 - -3 - (-2)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/3)*y*y*y)**(-21)*((y\/((y\/(y*((y**0\/y)\/y)\/y))\/y))\/y)**(-1\/23) assuming y is positive.\nAnswer: y**(-2252\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22.13+-43\nAnswer: -20.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 - -559. Let l = f - 351. Let o(t) = 4*t**2 - 3*t - 4. Let u(q) = -3*q**2 + 3*q + 4. Let a(b) = 2*o(b) + 3*u(b). Determine a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 1 - 33968*i**3 - 1 + 3*i**4 + 33962*i**3 - 2 to v*i**3 + r*i + b*i**2 + u*i**4 + d and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + 247 - 105 - (-3 - (-1 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -983, -3940, -8915, -15944, -25063?\nAnswer: -36308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1001 + -924. What is the least common multiple of t and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 1.33?\nAnswer: -1.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 18 = -17*c. Solve -c*s = -2*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2, -2\/9, -12, -0.242.\nAnswer: -12, -2, -0.242, -2\/9, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/504 - 2*z**7\/63 + 17*z**6\/90 - 2*z**5\/5 - 3*z**4\/4 + 6*z**3 + 2*z**2 + 4. Factor q(k).\nAnswer: 2*(k - 3)**3*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -108, -2\/209, 27\/4 in descending order.\nAnswer: 27\/4, 1, -2\/209, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o**2 + 3*o - 3. Let p be 2*(-12)\/(-8)*-1 + 5. Let r(s) = 31*s + 10*s**p - 29*s**2 + 28*s - 54*s - 5. What is -5*g(x) + 3*r(x)?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1901577 and -3.\nAnswer: 5704731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -156, -232, -340?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76169080 and 377.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 17*o - 8. Let s = 281 + -296. Determine v(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38243, -37417, -36591, -35765, -34939?\n\"Answer: 826*t - 39069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -2324?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*(-2)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-5)*((-12)\/8 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from eeeelelifefe?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 14, 8, 2, -4?\n\"Answer: -6*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 11 - 2*z + 2*z**2 - 8 + 2*z. Let s(x) = x**2. What is s(i(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from {w: 1, n: 9, e: 9}?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.231 and -293.\nAnswer: -67.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6179877?\nAnswer: 3, 11, 62423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 11. Determine f(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -9 - (-2 - (-4 + 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3997, 3994, 3995, 4000, 4009, 4022, 4039?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859716?\nAnswer: 2, 23, 101, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22672024 is divided by 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2975\/34)\/(-25)*(576\/(-28))\/(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760799?\nAnswer: 3, 586933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**2 + 11*z**2 + 15*z - 15*z - 1 to the form u*z + n*z**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v - 5*v**3 - 26*v - 10*v - 65*v - 43*v**2 + 3*v**2.\nAnswer: -5*v*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:53 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(312) - (sqrt(312)*1 + sqrt(312) - sqrt(312))) + ((sqrt(312)*2 - sqrt(312) - sqrt(312))*4 - sqrt(312)))\/(1*sqrt(294)*6).\nAnswer: -sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - z**2 + 3*z - z - 1 + z. Let s be h(3). Suppose -s*d = -23 - 37. Solve 4*y - d = 7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38933247.\nAnswer: 3, 17, 127, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4170337 is divided by 34465.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**7\/840 + m**6\/40 + m**4\/2 + 3*m**3\/2 + 10*m. Let j(c) be the second derivative of g(c). List the prime factors of j(7).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*y + 9 = -22*h, -7*h - 5*y + 0*y - 115 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c + 5 + 2*c**2 - 3*c**2 - 7*c. Suppose q + 17 = 5*z, 0 = -7*z + 2*z + 3*q + 11. Let m be w(z). Solve 20 = -0*b - m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/7? (a) 0.12 (b) -3 (c) -1152 (d) 0.4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 14*o - 15. Let f be -16*(0 + -2*1). Suppose -2*y = -10, 0*y + f = 3*q + y. Calculate the remainder when g(10) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062\/1003 + (-1 - 0)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130221602?\nAnswer: 2, 3, 409, 153521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 4*s**2 + s**3 - 5*s - 4 + 2*s**2. Suppose -4*r - 7 = -23. Suppose r*z = 6*z + 6. Determine y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k*k)\/((k\/(k\/(k*k**(-4))))\/k*k)*k**(2\/3)*(k*k\/k**(-2\/15))\/k*k*(k\/k**(-1\/3))\/(k\/k**2)*k*k\/k**(1\/4)*k*k**(-6)*k assuming k is positive.\nAnswer: k**(1459\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 167\/(-3) + (-4)\/(-6). Suppose -2*c - 19 = -c. Let l = c - x. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -126.\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2 = -4*t + 22, 3*t - 25 = 5*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3, u - 15 = -2*j - 4. Let v(t) = -2*t**2 + 7*t - 1. Let d = -7 - 0. Let w(k) = -2*k**2 + 6*k - 1. Give d*w(x) + j*v(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 + 357*t + 219. Determine v(-35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -942 divided by -5607?\nAnswer: 314\/1869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/4)*z))**(-24)\/((z\/z**(4\/5))\/z*z**(-1)*z) assuming z is positive.\nAnswer: z**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-3\/10)\/(v*(v**3*v)\/v*v**(1\/2)) assuming v is positive.\nAnswer: v**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 9 - 1. Let i = -8 + 11. Solve 0 = -i*l + 7*l - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*o**4 + 42*o**5 - 67*o**4 + 7*o**2 + 0 + 3*o**5 + 0 + (5*o**3 - 6*o**3 - o**3)*(o + 2*o**2 - o) - o**4 + o**4 - o**5.\nAnswer: 40*o**5 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 691611 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3651 divide 3813259753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 - 17758.\nAnswer: -17764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose -5*y + 6*y + 5 = 0, -5*d - y = 20. Let c(k) = -k**3 + 2*k**2 + 5*k - 5. Let g be c(2). Sort g, p, d in decreasing order.\nAnswer: g, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexbbeubbvxueub. What is prob of sequence bx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 7:44 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*t**3 - 236*t**2?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1015123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 21*q - 39 = 0. Let z(m) = -15*m**2 - 23*m - 13. Let i(t) = 7*t**2 + 11*t + 6. Calculate q*i(u) + 6*z(u).\nAnswer: u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9513 + 73?\nAnswer: 9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.059 - -0.509. Which is the nearest to l? (a) -0.5 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 - 776 - 38137*m + 394.\nAnswer: -38137*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**6 - 7*d**2 - 44*d + 37. Let g(q) be the first derivative of i(q). Differentiate g(j) wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e5 + -2079?\nAnswer: -1e84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/20160 - v**7\/1680 + v**6\/360 - 17*v**5\/60 + 9*v**2. Let u(c) be the third derivative of p(c). Give u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486 = 113*m - 870 - 226 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 2. Suppose 0 = -a + 2*n - 1, -2*n + 5 = -7*n. Calculate the remainder when r(6) is divided by (-4)\/(-3)*a\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 4*b - 3*b + 17*b - 4*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 58. Suppose -135 = u*l - 9*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -974*f**2 - 3888*f + 9. Calculate x(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 2. Let t = l - -4. Sort -4, t, 0 in decreasing order.\nAnswer: t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(6\/(-5))*(191 - 188). Which is the second biggest value? (a) -0.1 (b) 2\/10433 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*x = 492*x + 22440. What is the highest common divisor of x and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*l**2*r**2 + 505959*b*l**2 + 237720*b*l*r**2 + 4*l**2*r**3 - 3*r**3 wrt l?\nAnswer: -4*b*r**2 + 1011918*b + 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 33*m - 1849. Let j be c(56). Let a(o) = -o**3 - o**2 - o. Let n(k) = 2*k**3 + k**2 + 14*k. Give j*a(b) - n(b).\nAnswer: -b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -1\/6, 105.9?\nAnswer: 105.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -33 + -9 - (-1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(96\/18)*(-6)\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66990 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**3*n + 21*g**3 + 8*n + 66 wrt g.\nAnswer: -18*g**2*n + 63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:17 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (19\/(-38))\/(2\/5624). Suppose 1279 = 12*q - u. Calculate the greatest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieoeekkceeok. What is prob of sequence eec?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -497.3609 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r - 809. Let k be o(37). Solve 4*g + h = -9, 3*g + 0*g - k*h + 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bbce26 (base 15) to base 11\nAnswer: -5066045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**3\/3 + 2. Let l(h) be the second derivative of -5*h**3\/3 - 5*h**2\/2 + 364*h + 18. Give l(j(n)).\nAnswer: 20*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -24 + 15 - 11. Put 5, -1\/14, 3\/4, u, 2\/5 in decreasing order.\nAnswer: 5, u, 3\/4, 2\/5, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.9 (b) -8\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.36129t in milligrams?\nAnswer: 30361290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005*q**2 + 481*q**2 + 501*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 1. Let s = 11 + -8. Suppose -38 = -s*o + 5*x, x = 3*x + 8. What is n(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-2)\/(-8) + 65\/(-20)). Is b\/(-2) + 144 + -8 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/7 - 6448*g\/7 - 2425488\/7 = 0.\nAnswer: -1014, -598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140658599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:20 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1494 + s + 3*s**2 + 1490 - 566 - 2*s**2 to the form n + t*s**2 + d*s and give n.\nAnswer: 2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1409 and 686183.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqqwnq. Give prob of picking 1 q and 1 w.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26274?\nAnswer: 2, 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2148 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let n(b) = 6*b + 35. Let q(i) = -2*i - 20. Let h(s) = -n(s) - 2*q(s). Let g be (-822)\/18 + 2\/3. Let a be g\/(-9)*(-1)\/(-5). Give a*h(u) - 4*o(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*x + 3*x. Let t(c) = 8*c - 5. What is the common denominator of t(-3) and (-5 + -9)\/(x\/9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 95*h = -840 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474706?\nAnswer: 2, 71, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 16 = d + 10*b, 0 = -5*d - 5*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 4*n + 2. Let g(p) be the first derivative of 4\/3*p**3 - 5*p - 12 + 9\/2*p**2. Determine 4*g(y) + 9*j(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((4 - 2) + -7 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13643 * -66\nAnswer: 900438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/3 + 89*t\/3 + 6.\nAnswer: -(t - 18)*(5*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 175.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 8:59 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 2913580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298673.\nAnswer: 3, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119680598 minus -23.62?\nAnswer: 23.500319402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 9*x**2 + 11*x + 13. Let q be g(-10). Suppose -9*j + q + 33 = 0. Solve 37 = -j*y + 5*o, 2*y - 8 = -2*y - 4*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 2*v = 0. Solve -2 = -2*z - 3*r, v*r + r = 5*z + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -8. Let h(j) = j**3 - 11*j**2 + 10*j + 5. Let n be h(d). Suppose -6*b = -n*b - 17. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-0.012239.\nAnswer: 0.562994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 19)\/(-8) - (-18)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 divided by 13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s + 0*s + 1)*(1 - 3 + 4)*(-176*s - 129*s + 16*s).\nAnswer: 578*s**2 - 1734*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311812728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -27*w + 127. Suppose -340 = 40*a - 23*a. Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 363 = -97*m + 2*a, 3*m - 2 = 2*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 62) + -5 + 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13947197 to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10260 divided by 95?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l + 6*l - 5360 = 292. Calculate the remainder when l is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(18)*-2)\/(1*sqrt(216))*-1.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -43*a + 478. Let b(t) = -93*t + 955. Calculate -6*b(n) + 13*q(n).\nAnswer: -n + 484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 7*y**2 + 0*y**2 + 4*y**2 - 7*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(2 - 7 + 3)*(0*b**2 + 0*b**2 - 2*b**3).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60 - 261*m**2 + 521*m**2 + 5*m**3 - 259*m**2 wrt m?\nAnswer: 15*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 10*b + 12. Let w be t(9). Suppose -47 = w*a + 97. Let y be a\/(-21) + (-2)\/7. Solve 12 = y*d + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12134440 and 12134440.\nAnswer: 12134440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8 and -73\/134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 4, 3, 5, 405 in ascending order.\nAnswer: -6, -3, 3, 4, 5, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -4\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 5:59 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = l - 6, 5*l = -4*t + 12. Let a(w) be the first derivative of 3*w**2 + 118*w + 114. Calculate the smallest common multiple of t and a(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 170 = 167 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 - -120 - 53 - (-28 - -1).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**3 - 4*i**2 - 1. Let w(q) = -15*q**3 - 3*q**2 - 1. Suppose 2*c - h + 16 = 0, 5*h - 9 = 1. What is c*w(s) + 5*o(s)?\nAnswer: -10*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -17*x**6\/120 + x**4\/24 - 5*x**3\/6 - 7*x**2\/2 - 13. Let v(i) be the second derivative of d(i). Is v(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/9 or 95?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 52*m - 80. Determine o(60).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*h + 8*h**3 - 127*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**3 + 4*y + 4. Let f(x) = 6*x**3 + x - 3. Determine 4*a(r) + 5*f(r).\nAnswer: -2*r**3 + 21*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/121? (a) 672 (b) 4 (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 61*c**2 + 332*c + 106. Determine u(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 10*r**2 - 18*r + 24. Calculate d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*i - 21, -48 = -50*m + 45*m - i for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, p: 2, b: 2}. Give prob of picking 2 p and 1 b.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((243\/(-12))\/3)\/(6\/80*2250\/900)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 6*x + 6. Let z be k(-6). Suppose -h - h = z. What is the third smallest value in -2\/9, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -860967 divided by -286989\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2336, -9724, -21986, -39128, -61156?\nAnswer: -88076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -3, 11, 45, 105, 197, 327?\n\"Answer: x**3 + x**2 - 10*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.94 - -45.94. What is the nearest to a in -3\/5, -7.7, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 385*i**2 + 46*i**3 - 383*i**2 + 61*i**3. What are the prime factors of r(1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:34 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/1427 + -4273\/5708. Which is bigger: -25 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066279 at least as big as 1066275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-7)\/(-28))\/((-6)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5760 - 4416. What is the lowest common multiple of 504 and x?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35251532 - -1\nAnswer: -35251531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81 + 67004*o - o**4 - 5*o**4 - 21*o**4 - 67005*o wrt o?\nAnswer: -108*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + 0) - -3. Suppose -15 = -d*y - 0. Solve j - y*k + k - 5 = 0, -j + 2 = -k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -4*k**7\/21 + 8*k**3\/3 - 38*k**2. Find the first derivative of a(o) wrt o.\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 3962*j - 7916 = 0. Calculate j.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.1 + -17. Which is greater: -3\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -786232?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*q**2 - 318*q**2 - 49*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 11580 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/55, 3.\nAnswer: 2\/55, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948580.\nAnswer: 2, 3, 5, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 1. Let m(d) = -d**3 - 12*d**2 + 9*d + 1. Let n(w) = -2*w**3 - 25*w**2 + 20*w + 3. Let r(u) = -13*m(u) + 6*n(u). Determine -r(c) - 6*z(c).\nAnswer: -c**3 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*h = -35, 2*h + 19 - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-11 - 10 - -18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7817415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002572 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -75922062 minus -98.7?\nAnswer: -75921963.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(20\/(-8))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m + 7*m**2 + 0 - 17\/24*m**4 + 0*m**3 - 3\/20*m**5. What is the second derivative of u(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 10768*z + 14493728 = 0.\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 394 and -5.\nAnswer: -1970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.6, -4, 1.07, -232, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 14. Let b(t) = -67. Let o(w) = 56. Let u(l) = -5*b(l) - 6*o(l). Let x(f) = -f**2 - 13*f + 12. Let k be x(-13). Determine k*u(s) - v(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + 49 - (4 - 1)) + (-35 - 30).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.286764 and 0.25.\nAnswer: -0.071691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 36 = 7*d. Solve d*k - 5 = -w - 3*k, k - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137017 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/259184 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2973524483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1151977\/7 or -164569?\nAnswer: -164569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9250759.52 to the nearest ten thousand.\nAnswer: -9250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*l - 11 = 0, 7*q - 22*q = -13*q + 7*l + 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**4\/6 + x**3 + 4*x**2. Is z(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16716 is divided by 190.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f - 1)*(0*f - f + 0*f) + f**2 - f**2 + 4*f**2 + (2*f - 3*f + 6*f)*(-f + 0*f - 3*f).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 745561.611 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 4\/(8\/(-6)). Find v, given that 5*v**3 - 6*v**2 + k - 3*v - 4*v**3 + 6 + 2*v**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27218561 is divided by 6804639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/234438 and -107\/234438?\nAnswer: 234438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2028 + -2048.98. Let w = p - -25.4. Round w to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 35 = 2*i. Suppose -4*n - 9 = -u + 1, -5*n - i = -4*u. Let w = -1 - n. Sort 5, -5, w in increasing order.\nAnswer: -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1174\/3 - 4693\/12. Let k(h) = h**3 + h**2 - h - 2. Let f be k(-2). Which is the nearest to 2? (a) f (b) j (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752\/7 + 2\/7*h**3 - 744\/7*h + 180\/7*h**2 = 0. Calculate h.\nAnswer: -94, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -145\/398251?\nAnswer: -145\/398251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220358 and 100619.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 9:20 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 8728 - 11222 = 0. Calculate the remainder when 3195 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11308651?\nAnswer: 11308651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 - 2*d + 1. Let g be l(1). Let i be -5*2\/15*g. Let j be (21\/12)\/(i\/(-32)). Solve -4*t + 5 + 7 = 4*o, -5*t = 4*o - j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.37 + -18.37. Let f = -15 - a. Let n = -12 + 11.89. What is the third biggest value in 2, 5, f, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, k: 4}. Give prob of sequence kkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 44. Let l(q) = -3*q**3 - 2*q**2 - 2. Let w(i) = 7*i**3 + 4*i**2 - i + 5. Let h(n) = -n**2 + 5*n - 1. Let k be h(2). What is f*w(p) + k*l(p)?\nAnswer: -p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01571384992 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12627)\/(-46))\/61)\/(35\/(-518)*12\/20).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29902848 is divided by 2491904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7980488*a**2*q**3 + 10389581*a**2*q**2 wrt q.\nAnswer: 47882928*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 13. Let p be b(3). Let y = p - 29. Suppose -r - 580 = -y*r. What is the remainder when r is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + 16*p**2 + 13*p + 19. Let q(x) = 4*x**3 - 15*x**2 - 12*x - 18. Let b(t) = -6*q(t) - 5*w(t). What is the tens digit of b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75.2 + 78.2. Let y = 8 - 3. Which is the biggest value? (a) d (b) y (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 - 25*b**4 - 27*b**4 - 2*b**4 - b**4 + b**4 + (-b**3 + b**3 + 2*b**3)*(2*b - 2*b + 2*b).\nAnswer: -55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-i - 3*i + 2*i)*(0*i + 3*i + 3*i) + 3 - i**2 - 3 + (1 - 2*i - 1)*(3*i + i - 2*i) + 6*i**2 - i**2 - 3*i**2 as p*i**2 + g + l*i and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 3*o - p, 305 = 2*o + o - 2*p. Let r be 5*(-7)\/(o\/(-9)). Suppose 4*b - r = 5. Solve -5*i = 2*z + b, z - 1 = 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -27*y**2. Let j(k) = 743*k**2 - k. Determine j(g(v)).\nAnswer: 541647*v**4 + 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) + sqrt(294) + sqrt(294)*-3)*6*3)\/((sqrt(16)\/sqrt(4))\/sqrt(2) + (4*sqrt(288) - sqrt(2))).\nAnswer: -21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**39*t**4\/(t\/t**(2\/11))*(t**(1\/4))**(2\/3)*(t\/t**1*t)**(24\/13) assuming t is positive.\nAnswer: t**(4457\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 48. Suppose -s*i - 21 = -6*i + 5*w, -2*i + 19 = -3*w. Calculate the smallest common multiple of 9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/62762469 and 59\/649715.\nAnswer: 313812345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -367*t - 12380. Give k(-33).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.779 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 + g**3 + g**3)*(-30*g + 2*g - 11*g + (2*g - g + g)*(-1 - 4 + 3) + (-5 + 1 - 2)*(-7*g + 0*g + g)) as u*g**3 + w + m*g + c*g**4 + k*g**2 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26767 and 560261?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 536649272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 + 2*j**5\/15 - j**4\/2 + 2*j**2. Let r be p(-9). Suppose 13 = 5*h - r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1. Let i(q) = -2648*q. Determine -i(x) + 2*v(x).\nAnswer: 2648*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/17 (c) 41474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i**5 - 16668*i**4 + 87800*i**3 - 154860*i**2 + 100496*i - 16752 = 0.\nAnswer: -1047, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:54 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 4. Let w be h(-1). Suppose 0 = -2*v + d + 2, -4*v - w = 2*d + 3*d. Let a = -192\/85 + 11\/5. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*i - 6 - 75 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350655, -350654, -350655, -350658, -350663, -350670, -350679?\nAnswer: -350690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*n = 25 - 1, -3*h + 11 = n. Let r = 133 - 1201\/9. What is the third biggest value in r, h, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 394\/7. Let q = -18 + -19. Let f = -41 - q. Which is the second biggest value? (a) t (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 58650, -2\/9, -0.3, 0.25, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjkjjjjj. Give prob of sequence jj.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 times 8.45\nAnswer: 0.4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -14 - 20 - -14)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*t + 16 - 0, g = 0. Suppose t*h - 71 = -3. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13287 is divided by 13265?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4916 and 205916492.\nAnswer: 4916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 8 = 0, 3*m + 4 = w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 354, 0, -8239, 2 in ascending order.\nAnswer: -8239, 0, 2, 5, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from eyeueuyowuyyy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 29 = -3*v + 39, 0 = -v + 2*z + 16. Let o(j) = -j - 2. Let c be o(-4). What is the remainder when v is divided by (-1)\/(-2) - (-27)\/c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 529*h - 100. Does 41 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26202)\/(-72) - 5\/(-60) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 12*d**2 - 34*d + 13. Determine v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(325) + 1)*1 - (2 + 5 + (sqrt(325) - (sqrt(325) + (sqrt(325) - (-3 + sqrt(325))))))) + -3)*4)**2.\nAnswer: 12480*sqrt(13) + 189904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8 + (-6)\/(-9)*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -2 - -3 - -4. Suppose 6 = -o*r + 26. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3307 divide 597343410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(3 + 5 + -3). Suppose 5*u - 2*p + 3*p - o = 0, -2*u - 4 = 4*p. What is the greatest common divisor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v**2 + 2*v + (17*v - 23 + 23)*(0*v + 0*v - 2*v) + 0*v**2 - 5*v**2 - v**2)*(1 + 2 - 1)*(0 - 1 - 2).\nAnswer: 252*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 706841051.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/3*(-1710)\/2660.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 3350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 312702040*f - 6111410363760100 = 0. Calculate f.\nAnswer: 39087755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 127. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjk when three letters picked without replacement from zrkvlrjjljjvljv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -102*y + 14. Let l(w) = -34*w + 5. Determine 6*b(s) - 17*l(s).\nAnswer: -34*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5, -21*r = -d - 19*r + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*w + 51*w - 9*w**3)*(430*w - 866*w + 434*w - 72) in the form c*w**3 + l*w**4 + o*w**2 + j + h*w and give c.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -410591752439 + 13\nAnswer: -410591752426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575089 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 716 + -56. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p\/(p\/p**2))))\/(p\/(p*p\/((p*p\/(p**2*p)*p)\/p))*p)*p**(1\/3)\/p*p**(-5\/3)\/p*(p**(1\/2))**(-2\/3)*((p*p**(-1)\/p*p)\/p)**(-48) assuming p is positive.\nAnswer: p**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0 + 5\/3*b**3 + 0*b + 3\/8*b**4 + 1\/120*b**6 + 28*b**2 + 2\/15*b**5. Determine a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -45, -106, -189, -294, -421, -570?\n\"Answer: -11*q**2 - 6*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529883, 2119407, 4768605, 8477477, 13246023, 19074243?\nAnswer: 25962137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 = k, -5*k + 3*t + 13 = -t. Let i(v) = -4*v + v + k*v. Let p(x) be the second derivative of -x**3\/3 - 8*x. Determine i(p(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 114359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 25 = 0, 0 = -b + 4*u - 2 + 22 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((4\/(-6))\/(48\/36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 3:56 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -1, 6, 17, 32, 51?\n\"Answer: 2*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {a: 2, p: 2, n: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1811, 3559, 5291, 6995, 8659, 10271, 11819?\nAnswer: 13291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437.7894 milligrams to nanograms.\nAnswer: 437789400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/7)\/w)\/w)\/w)\/(w**2*w))\/(w**(-1))**46 assuming w is positive.\nAnswer: w**(278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3283 (base 15) in base 13?\nAnswer: -1513b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -76. Let i be -12*(95\/20 + g). Solve -5*t - 3*r - 15 = 0, -3*t - 9 - 6 = i*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 21*z - 3. Let m(j) = 25*j - 373. Let a be m(15). Calculate u(a).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*f = 2*q + 24, -5*q + f + 84 = 0. Suppose -q + 6 = -2*h. Solve -a + h*a - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 0.012613.\nAnswer: -0.987387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*(-730)\/(-219). Solve -2*o - d*b = -10, 3*b - 30 = 4*o - o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 99 = 48*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 30 + 74 - 56 - 46.\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-3)\/1*(-1)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6929891 at least as big as -34649452\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 137 = -29*b + 99. Let s(o) = o**3 + 8*o**2 + 3*o - 2. Let m be s(-5). Is m > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.34849 * 85.\nAnswer: -4194.62165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 430.82 + -431. Let i = -0.1 + 0.6. Put f, i, 5 in descending order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) - (-116)\/40.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287666760 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 13*s + 8. Let m be i(-4). Let p be (-7)\/(-2) + (-1)\/2. Are p and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-6 - (28 - 22))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let g(m) be the first derivative of 5*m**4\/12 + 3*m**2 + 6. Let c(n) be the second derivative of g(n). Determine c(z(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-6)\/9)*3. Suppose 2*r = -2*a - 6, 2*r - 4*r + 9 = -3*a. Suppose r = t - 2 + 3. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 34*i + 34. Suppose -5*g = -2*g + 45. What is the units digit of y(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*z = -356, 5*z - 293 = -5*r + 137. Let s(i) = -i**2 - 88*i + r*i. Let g(a) = 4*a. Determine s(g(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**7\/105 + b**6\/15 - b**5\/5 + b**4\/3 - b**3\/3 - b**2\/2 - 6. Let d(l) be the second derivative of q(l). Factor d(k).\nAnswer: -2*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -224050 to the nearest one thousand.\nAnswer: -224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/15 - r**5\/60 - r**4\/24 + r**3\/6 + r**2 - 10. Let a(x) be the second derivative of n(x). Calculate a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 22 = 9*g. Suppose -2*z + 5 = 3*z. Suppose -4 = 2*u + 5*m, 20*u - 22*u - 4 = -m. Sort g, u, z in descending order.\nAnswer: z, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 4*i + 9. Let g(h) = -h**3 - 108*h**2 - 315*h. Let f be g(-105). What is t(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(154)*-2 - sqrt(154))*-3)\/sqrt(7))\/((sqrt(4) - sqrt(4)*-1)\/sqrt(2) + sqrt(72)))**2.\nAnswer: 891\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924301505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/22339 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 3, -1\/3, 3\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -111 + 114 + -1 + 4 + -1. Solve 14 = -q*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 - 90 = -3*q. Let b = q - 740\/9. Let k(r) = -r**2 + 4678*r - 134816. Let o be k(29). What is the closest to -2 in b, 0.5, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -231*l**4 + 21*l**3 - 9*l**2. Let t(w) = -23*w**4 + 2*w**3 - w**2. Let d(p) = 2*r(p) - 21*t(p). Find the third derivative of d(k) wrt k.\nAnswer: 504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 - 16*f + 15. Let m be u(1). Let v(i) = -i - 10. Let n be v(-11). Let x = n + 1. Solve -2 = -m*q + 2*g, 3*g - 2 = 4*q + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 6098070.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(-3)*(-17)\/17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/31 or -11060\/17?\nAnswer: -11060\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkykeeneykekknkkkk. Give prob of picking 2 y and 1 n.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = q + 4*q - 5, 8 = 2*q + 4*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 2*u - 1 as z + v*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*i + 10, 2*k + 17*i = 13*i + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(2*1)*(-39)\/104\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*p - 16, s - 5*s + 2*p = -14. Let f be ((-12)\/(-10))\/((-2)\/(-50)*s). Solve -4*w = -7*w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.08. Let w = 0.22 - t. Let r = -4 + -1. Which is the smallest value? (a) -0.3 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 2. Let p be (-2)\/5 + ((-1036)\/(-20))\/7. Suppose n*s = p*s - 45. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8 + 7 - 3*f**3 as h*f + x + p*f**2 + w*f**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*h - 86 = 0, -h + 78 = -0*r + 2*r. Let z = r + -33. Suppose -11*q + 7 = -z. Is q < 1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 + 136*m**2 - 134*m**2 - 21)*(-2 + 7 - 3).\nAnswer: 4*m**2 + 206","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 11*s. Let n(k) be the first derivative of s*k**3 - 5 + 0*k + 0*k**2 + 1\/2*k**4. Factor n(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) 0.46 (c) -0.4 (d) 5 (e) -2 (f) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 4*p**2 + p**2 + 2*p**2 - 2*p**2 - 31*p**2 + (3*p**2 + p**2 - 5*p**2)*(-4 + 1 + 2) to f + s*p + r*p**2 and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/3, 373, 2, -21, 0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/30 + d**4\/6 + d**3\/3 + 4*d**2. Let v be a(-5). What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55010926 to the power of 1\/2, to the nearest integer?\nAnswer: 7417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let l be 46\/69*((-36)\/42)\/(1\/7). What is the closest to l in -4, p, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/4 + 7*u**3 - 10*u**2 + 4*u - 6. Let w be c(20). What is the greatest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3595*m + 1 + 1833*m + 1761*m. Suppose 0 = 3*l + 2*k - 17, 10 = -0*k - 5*k. Determine t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 71*y - 60*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g + 46. What is z(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.77 - 2.769793. What is l rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 5*u + 4940. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 23*f**2 + 28*f - 81. What are the prime factors of o(23)?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 - 6 = 0. Solve w - u*w - 1 = 3*h, -1 = -w - 5*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*j - 1)*(-3 + 3*j**3 + 3 + (-3 - 2 + 3)*(-2*j**3 + 2 - 2) - 1 + 1 + j**3).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038 (base 11) in base 9?\nAnswer: -1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:35 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 - 300. Let z be (w - -1)*4\/28. Factor z - 4\/7*f + 2\/7*f**2.\nAnswer: 2*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 71\/1072867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3347 + 19?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/8*(-84)\/(-63). Let b(s) be the first derivative of -1\/12*s**3 + 0*s - f + 0*s**2 - 3\/20*s**5 + 1\/24*s**6 + 3\/16*s**4. Let b(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*279406.\nAnswer: -27940.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -2)\/1*35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 35*r**2 + 28*r + 40. Determine p(34).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50499, 201156, 452243, 803754, 1255683?\n\"Answer: -f**3 + 50221*f**2 + f + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Suppose 18 = -q*x + 8*x. Suppose 255 = 5*s - 4*a, 3*a = -x*s + 99 + 81. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 204 = -1828. Suppose 13*b - c + 125 = 15*b, -2*b + i = 3*c. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/111 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63149 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -104849 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8340\/23630*(-17)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -3*y + 4*c, -2*c - 71 = -y - c. Let p be 2*(y\/4 + 1). Suppose p + 0 = u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let y(l) = -1703*l**2. What is u(y(g))?\nAnswer: -1703*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 33555\/(-20) + -2. Let k = 5473 + z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 4586740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5 + 7 + 6 + 7*r. Let f be p(-6). Differentiate 0 + 5 - 3 - c**f wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2168*c**2 - 23*c**3 - 1097*c**2 - 1071*c**2 - 2*c.\nAnswer: -23*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 + 8*j + 12. Let v be (-4)\/8*16\/1. Let t be r(v). Let u = 1589\/2 + t. What is the common denominator of -53\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:19 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 1. Suppose -43*q + 2*x = -44*q + 1, -5 = q - 4*x. Let g(u) = -4*u - 3. Let y(s) = s - 3. Let h be y(-3). What is h*d(p) + q*g(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302609.\nAnswer: 302609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)*y*y)**(-2\/59))**(-27) assuming y is positive.\nAnswer: y**(135\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h - 78*h + 50*h + 18*h**3.\nAnswer: 18*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c**2 - 7 + 2\/3*c**3 + 0*c. Let g(b) = -b**2 + 5*b**2 - 3*b**2. Give g(f(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2215 = -2*r - v, v = -0*v + 1. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 333?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5103437 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 6}. Give prob of sequence gigg.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Suppose 5*d - 2*d - 3*y - 6 = 0, 3*y - 6 = d. Suppose d*i = 5*i + 2. Let h(t) = -7 + t**2 + i + 5. What is h(l(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22024 + -11163. Let o = r + -7454. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**2 + 10 - 14*i - 12*i**2 + 14*i wrt i?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*x + 125*x - 92 = 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-5)*30\/9. Let d(h) = -3*h - 3. Let x be d(-2). Put z, -5, x in ascending order.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 122.\nAnswer: -5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, l: 1}. What is prob of picking 3 c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 - ((-6)\/(-87) - (-123586)\/3538)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let g be s*16*1\/(-2). Is 6\/g + (-51)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**2\/2 + 11*i - 792. Give b(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1945415 by -389083.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32684, -35165, -37648, -40133, -42620?\n\"Answer: -b**2 - 2478*b - 30205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 257, 259, 277, 323, 409?\n\"Answer: 2*m**3 - 4*m**2 + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7378 and 5270.\nAnswer: 36890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let b = 16 + s. Let g = -16.9978 + b. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 8 = 5*i - 1, -3*i + 4*f - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117433, 469867, 1057257, 1879603, 2936905, 4229163, 5756377?\n\"Answer: 117478*c**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.1, 0.01, -0.8, -20?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 11028606?\nAnswer: 1\/5514303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8*j - 630. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 92*p - 728. Give m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 26. Let v be u(5). Let f be -4 + 2 + 4\/(-14). What is the third biggest value in 5, 3, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018835 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 11:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 83*o - 171. Suppose 0*p + 2*p - 4 = 0. Is -1 + 160\/(p\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -128 - (4 - (4 - 0)). Let w = q - -231. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3*c**5\/35 - 3*c**3\/7 - 3*c**2\/7 + 5. Let g(l) = 0. Calculate l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61, 124, 187, 250?\n\"Answer: 63*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-9)\/(f**(-2\/7)*f)**(14\/5) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*z - 248*z - 33 = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226568 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -59 + (9 - -20).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*k + 48, -3*k + 20201*q = 20199*q + 29 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n = 52*n - 125 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjdjjjjdjj. What is prob of sequence jj?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = -40. Suppose 0*a - 5 = a. What are the prime factors of (-2)\/a - 56\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1479258 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-28)\/(-4) - 2. Suppose 0 = -14*z + 34*z - 100. Sort -4, z, 1, o in decreasing order.\nAnswer: z, o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -33\nAnswer: 205\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008484875 rounded to 4 decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(288) - (-2 + sqrt(2) + sqrt(16)\/sqrt(8)))*-5)**2 + 2.\nAnswer: -550*sqrt(2)\/3 + 4861\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433210?\nAnswer: 2, 5, 43321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8997 + 9055 + 14*g**2 + 38*g - 37*g.\nAnswer: 14*g**2 + g + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36\/20*454\/(-10)*-25 is divided by 1016?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216178074 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.004995 rounded to one dp?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-150)*10\/(-76).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1, 2, 21, 6 in ascending order.\nAnswer: -5, -3, 1, 2, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4677448 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Let p = 2 - s. Let l be (1\/5)\/(8\/(-10)). Which is the nearest to p? (a) -0.2 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 78430 and 1\/3015 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 7756978.\nAnswer: 93083736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (22 - 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4121465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 329, 734, 1301, 2030, 2921, 3974?\nAnswer: 5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -17. Let d be (-2)\/(-6) + (-215)\/(-3). What is the highest common divisor of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142126 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 11\/48*t**4 + 10*t - t**2 + 1\/420*t**7 - 11\/240*t**6 + 0 + 0*t**3 - 1\/120*t**5. Determine z, given that j(z) = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -56\/2467 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 2\/3*l**3 + 0 + 4*l - 1\/2*l**2. Determine f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*k**3 - 20*k**3 - 41*k**3 + 188*k**3 + 23*k**3.\nAnswer: 330*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from {a: 5, f: 8}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -96833291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488*r - 1093*r - 77430 = 0 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11264856 and 33.\nAnswer: 123913416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1. Let p(r) be the first derivative of r**4\/4 - 6*r**3 + 9*r + 7787. Calculate 18*l(k) - 2*p(k).\nAnswer: -2*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:04 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f. Suppose 6 = -f*t - 2*t + 2*n, 20 = 5*n. Let l be 4\/(-10) + 4\/35. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2 - 8)\/((-4)\/2) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and 51264.\nAnswer: 51264.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 5, -3, 60353 in increasing order.\nAnswer: -3, -2, 5, 16, 60353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 539\/6 - 90. Let v = 51.592 + -54.592. Which is the biggest value? (a) k (b) 2\/3 (c) 1\/3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556151?\nAnswer: 11, 868741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56 + 2 - 3) + -3. Suppose -3*y + 204 = -4*z + 8*z, -z - y + x = 0. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505 or 507?\nAnswer: 505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**4 - 2 - 2*b**3 - 28*b**3 + 2 - 24*b + 25*b + 283*b**2 wrt b?\nAnswer: -408*b - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066204858?\nAnswer: 2, 19, 157, 681563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let c(v) be the first derivative of -2 - 9 - 8*v**2 + v**2 - 4*v**2. What is l(c(r))?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 37, 28, -13, -104?\n\"Answer: -3*d**3 + 11*d**2 - 7*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*i. Let j = 15 + -4. Let y(r) = 3*r**3 - r + 9*r**3 - j*r**3 - r**2 + 6. Give y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 30 - (-1 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -655.41 + 659. Round d to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1280 and 17\/155.\nAnswer: 39680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*v**3 - 23*v**4 - 113*v**3)*(0*v + v - 3*v)*(5 - 1 - 2)*(3 - 2 - 4).\nAnswer: -276*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 239165416 from -15.\nAnswer: -239165431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 3*f**5\/5 - f**3\/6 + 190*f. Let j be (-6)\/4 + (-1)\/(-2). Calculate l(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*l**3 - 234*l**3 - 118*l**3 - 139*l**3.\nAnswer: 163*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-32)*(-58 + 78). Sort p, 9, 112.\nAnswer: p, 9, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-8)*(-128)\/8256*-86. Let m = 4525\/4 - 1124. What is the third biggest value in m, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8 + 4, -285 = 4*h + l. Let g = 168 + h. Suppose 1 = -v + g. What is the highest common divisor of v and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163704.8 months in years?\nAnswer: 96975.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 + 2650461*m - 21203880 = 0.\nAnswer: -883495, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178922 and 1370.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/13 (b) 3 (c) -0.5 (d) 2\/31 (e) -7 (f) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 53*r - 53890. What is q(-178)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-6))\/(471\/628). What is the third biggest value in -0.3, 5, 2\/9, k, -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6981*v**2*x**2 - 666*v**2 - 209*v*x**2 - 660*v - 2*x**2 + 1 wrt x.\nAnswer: -13962*v**2*x - 418*v*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 671 divided by 14536\nAnswer: 671\/14536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1108*n**3 - 24*n**2 - 2*n + 12. Let a(p) = p**3 + 4*p**2 - 2. What is 6*a(o) + x(o)?\nAnswer: -1102*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -26. Solve 0 = 3*g + 3*q - 6, 0 = -4*g + q - 0*q - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.3. Let y = 0.1 + r. Let b = 31 + -61\/2. Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/110 - (32\/10)\/(-4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5411 minus 3187.1?\nAnswer: -8598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8655 is divided by 306.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -484, -731, -978, -1225?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 7*g**2 + 3*g - 3. Let s(m) be the third derivative of 0 + 160*m**2 - 1\/24*m**4 + 1\/6*m**3 + 0*m. Give c(p) + 3*s(p).\nAnswer: 2*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuuvzmuuyzyvqq. What is prob of sequence yvmy?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*a + 10360 = -422*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - 256\/(-15). Suppose -42*b + 323 = -23*b. Let u = b - q. Put 3, u, -6 in increasing order.\nAnswer: -6, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 16*a + 64 = 0. Suppose -3*p - h = -a, -p = 2*h - h - 2. Let q = -33 - -89. Calculate the greatest common divisor of p and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233233 (base 4) to base 11.\nAnswer: -5411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/135? (a) -14 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 879 - 4*n**2 - 3*n - 879 to l + r*n + w*n**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*d**2*m + 11706*d**2*q**2 - d*m*q**2 + 5*d*m - 8*d*q**2 + 1139*d*q + d + 2*m*q**2 + 8*m wrt d.\nAnswer: -308*m + 23412*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 4*m - 11*m)*(-16 - 16 - 39)*(-4 - 1 + 4).\nAnswer: -568*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/14)\/u)\/(u*u*u*u**(2\/7)))\/((u\/(u*u**6))\/(u**(-2\/17)\/u)) assuming u is positive.\nAnswer: u**(159\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16151, -32300, -48449, -64598?\nAnswer: -80747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -19\/2*x**2 - 8*x + 1\/2*x**3 + 0 + 1\/6*x**4. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 9823 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*q**2 - 3)*(-3 + 2 - 2) + (-2*q + 2*q - 4*q)*(-2*q - q + 2*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))\/((k**(3\/2)*k)\/k*k)*k*k\/k**(2\/7)*k**(-3\/8) assuming k is positive.\nAnswer: k**(103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11924 divided by 4\nAnswer: -2981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -16*d - 30. Solve 2*c - d*c - 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**2 + 293940*p - 7645820 = 0.\nAnswer: -58814, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14156 to the nearest one hundred.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:36 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 + 7*m - 6. Let c(a) = a**2 + a - 1. Let o(p) = 4*c(p) + w(p). Let b be o(4). Solve -b*u + 5*u + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a + 322. Let w be r(19). Let p be (w + (-5)\/(-4))\/((-23)\/(-24)). Factor p*g**2 + 0*g - 2\/23*g**3 + 0.\nAnswer: -2*g**2*(g - 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/288120 and 86\/7995.\nAnswer: 153567960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 13 + 296*z - 294*z)*(3*z**2 - 2*z**2 - 2*z**2) + 0*z**3 - z**3 + 2*z**3 to the form d + f*z**2 + g*z**3 + k*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w + 9 = 0. Let n(k) = k**3 + 6*k**2 + 7*k - 2. Let s be n(-4). Suppose s*j = 7*j - 15. Solve j*x - x = -w*i + 2, -x + 15 = 5*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 + 9*d + 12. Let u(k) = 4*k**2 + 5*k + 7. Calculate -3*h(g) + 5*u(g).\nAnswer: -4*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 12727?\nAnswer: 318175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1511727\/8982637 - -2\/88937. What is the common denominator of 32\/63 and x?\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 1576 = -w - 11*i, -4*i + 4 = 0. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 1011?\nAnswer: 26286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuyuuuuyuuuuu. What is prob of picking 4 u?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/16822581 and 2\/399.\nAnswer: 117758067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 55 + 27\/(1809\/(-5561))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 51. Let k(h) = 16*h - 251. What is 4*k(n) + 22*v(n)?\nAnswer: -2*n + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:19 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 132470 and 132472 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {z: 3, x: 6, c: 1, l: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 9 + 21)*(18*p**3 + 25*p**3 + 26*p**3)*(-2 + 0 + 0).\nAnswer: -8970*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (sqrt(7) + (-2 + sqrt(7))*-1 + sqrt(7))*5)**2.\nAnswer: 120*sqrt(7) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 22 + 27 = d, -4*d = 3*k - 13. Let y(v) = v - 2. Let c(i) = -i + 1. What is d*y(w) + 5*c(w)?\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12336888229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 760 + 2384 = 0. List the prime factors of r.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 1\/16*j**3 + 1\/1680*j**7 + 10*j**2 + 0 + 0*j + 1\/480*j**6 - 1\/120*j**5 - 1\/96*j**4. Factor k(f).\nAnswer: (f - 1)**2*(f + 1)*(f + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -44*g**5 + 456*g**4 + 260*g**3 - 7200*g**2 = 0.\nAnswer: -40\/11, 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*u - 216*u - 2 - 1 + 6 in the form l*u + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.26 + 2.3. Let v = 0.04 - f. What is the closest to 0 in 1\/4, v, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18183075 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007095174 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c**2 + 4*c + 7. Let w(f) = 23*f**2 - 7*f - 13. Let x = 8217 - 8210. Give x*k(a) + 4*w(a).\nAnswer: 8*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27264 divided by -3408\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 1}. Give prob of sequence zww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -40, -88, -154?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1*-3)**2 + (sqrt(98) + 4 - sqrt(2)).\nAnswer: 6*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*z - 43308, -t = -8*z + 4*z - 10839. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 1202608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 32*u**2 + 26*u - 84. Does 4 divide r(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1459.3 - -1459.1. Sort 2\/27, i, -87 in decreasing order.\nAnswer: 2\/27, i, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3766 divided by -538?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201306 - 133829. Let v = i - 67475.90002. Let p = 1.1 - v. Round p to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 1 + 1)*(3*h - 3*h - 2*h**4) + 3*h - 3*h + 2*h**5 - 3*h**3 - 9*h**5 + 24*h**5 + h**2 - 13*h**5 - 2*h.\nAnswer: -6*h**5 - 3*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7082 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - (-5 - -6)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7522, -7512, -7504, -7498, -7494, -7492, -7492?\nAnswer: -7494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2455040 divided by -350720\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 13*o - 26. Let u = 121 + -170. Let t = u - -64. Let q be j(t). Let r(c) = -c**2 + 6*c + 1. Determine r(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**3 + i**2 - 2*i + 2. Is 15 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/5 + 482*y**4\/5 + 478*y**3\/5 - 1444*y**2\/5 - 479*y\/5 + 962\/5 = 0. What is y?\nAnswer: -481, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b = 86 - 14 + 108 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-7 + 5 + (-34)\/(-12)). Let a = -17 - 18. Let z be 6\/(-21) - (-4)\/a. What is the closest to 0 in z, f, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4094 (base 15) to base 4.\nAnswer: -3111013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 2, m: 10}. What is prob of sequence smsi?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**3 + 43*m**2 - 24*m**2 - 19*m**2 + 9*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6) - 1)*-6. What is the closest to -2\/5 in i, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(486) + sqrt(486) + 2*sqrt(486) + sqrt(486))\/(sqrt(162) + sqrt(162)*-1 + sqrt(162) + sqrt(162)))**2*-3.\nAnswer: -417\/4 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541266, 1082534, 1623802, 2165070, 2706338?\nAnswer: 3247606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230 + 484. What is the remainder when r is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)*i)\/i)\/i*i\/(i**(-22)*i*i) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-4 - -4) + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*o + 5*a, 2*o - 3*o + 5*a = -14. Let d be 0 + 1 + (-20)\/16. Is o > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55*122\/(-446215)*2*21\/6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105521365.\nAnswer: 5, 31, 680783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/1023857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 0*p**5 - 4*p**5 + (-p - 5*p + 3*p)*(p**4 - 5*p**4 + p**4) + 11*p**5 - p**5 + 19*p**5.\nAnswer: 37*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2600 divided by 650\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.61 - -0.51. Which is the closest to g? (a) -1\/7 (b) 4\/3 (c) -3\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 14. Let i(d) = 5*d - 12. Let v(c) = 6*i(c) + 5*j(c). Determine v(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + 5*sqrt(384)*-2)\/(sqrt(30)\/sqrt(90) - (sqrt(108)\/sqrt(3))\/sqrt(12)).\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 6:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s**4)**(-19\/5))**37 assuming s is positive.\nAnswer: s**(-7733\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2*w + 0*w)*(-1 - 4 + 0).\nAnswer: -10*w + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/7)\/y)**34*(y*y\/(y\/(y*y**(7\/5)*y)))**(-1\/40) assuming y is positive.\nAnswer: y**(20323\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4440 and 41200.\nAnswer: 4573200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24515, -21118, -15457, -7532, 2657, 15110?\n\"Answer: 1132*h**2 + h - 25648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7)\/t)**(-31)\/(t\/(t*t*t*t**(3\/20))*(t\/(t*t**(1\/19)*t*t))\/t) assuming t is positive.\nAnswer: t**(84519\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 6 = 66 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 - -17?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 415760 + -272?\nAnswer: 415466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2362, 2366, 2372, 2380, 2390, 2402?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c - 6. What is the remainder when 79 is divided by (-90 - 5)\/(-5) + (0 - c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 0.01351, 3, 0.3, 4, 0.1.\nAnswer: 0, 0.01351, 0.1, 0.3, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkkrrxrkkkrkkxkrk. Give prob of picking 2 k and 2 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30*(24\/(-32))\/(105\/350).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -1.8. Let d = h - -3. Suppose -18 + 66 = 8*o. What is the second biggest value in d, -1, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -108920, -108923, -108926, -108929, -108932, -108935?\n\"Answer: -3*q - 108917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 948515137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -898614 + 2*j - 169*j**2 - 35*j**2 + 898614 to the form p*j**2 + c + l*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -951 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477 - 2*p**2 + 229 + 248.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 17*y + 10. What is the remainder when r(15) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-199586)\/35)\/((-76)\/95). Let b = 7124 - z. What is the common denominator of 13\/2 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20717, 12, 1, 0 in descending order.\nAnswer: 12, 1, 0, -20717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 0.4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - 2*t - 4. Let n(p) = -2*p - 4. Let i be n(-4). Calculate the remainder when v(i) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29971 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046449 >= 1046499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**2. Let f(s) be the third derivative of -95*s**4\/12 - 1270*s**2. Give f(d(v)).\nAnswer: -1900*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 114 = k - 28, -3*k - 82 = -4*f. Let p = -17 + f. Solve -p*x + 2 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 110*v**2 + 157*v - 2066. Is 7 a factor of g(111)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 32*k + 16. Suppose 4*x = -4*g + 165 + 31, 0 = -x + 5. Calculate the greatest common factor of g and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -h + 3616. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 5, s: 3}. What is prob of sequence cs?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*r**2*u**3 - 3*r**2*u**2 - 21*r**2 + 1137*r*u + 7*u**3 wrt r.\nAnswer: 42*u**3 - 6*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 27*t + t**3 - 9 + 9.\nAnswer: t**3 - 30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -4. Suppose 4*j + 0*v - 3*v = 4, -12 = j - 4*v. Let y(f) = 4 - 5 + f - j*f + 2*f. Give y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = 6588 - 7236. Solve -26*i = -o*i + 48 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.28. What is the closest to a in -3\/2, 0.4, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*j**2*l**3 + 3270*c**3*j*l + c**2*j**2*l**2 + 52*c**2*j*l**2 - 161199*c**2*l**3 - l**3 wrt l.\nAnswer: 6*c**3*j**2 - 967194*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + w + 18 = 0, -g + 3*w = 2. Let h be 8055\/(-198) - g\/(-22). Let l = 40 + h. Which is the biggest value? (a) -1 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0 + 23\/4*h**5 + 0*h**4 + 73\/2*h**2 + 0*h**3 + 36*h. What is the first derivative of u(m) wrt m?\nAnswer: 345*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25250 and 25?\nAnswer: 25250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - -163186?\nAnswer: 163167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*l - 79*l - 107*l)*(11 + 5*l**2 - 11) to j*l**3 + q + o*l + i*l**2 and give j.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 4)*(2*f + 10*f - 10*f - 50) to the form q*f + z and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8543.978 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 324 = 460. Calculate the greatest common factor of g and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -1. Let d(q) = -q**2 - 14*q - 8. Is d(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.10901 + 1.118. What is x rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -2562856645144\nAnswer: -2562856645144.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -449\/6. Suppose -26 = 2*s - 0. Let n = 18 + s. Put n, -3, x in ascending order.\nAnswer: -3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**4 + 3*u**3 + 21*u**2 + 6*u. Let l(g) = 4*g**4 + 2*g**3 + 10*g**2 + 3*g. Let s(c) = 3*b(c) - 7*l(c). Find v such that s(v) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/87384780 and 67\/26760?\nAnswer: 174769560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/48 and -59\/1441008?\nAnswer: 1441008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15065820 or -15065819?\nAnswer: -15065820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 27*j**2. Let t(x) = 65*x + 3. Determine f(t(n)).\nAnswer: 114075*n**2 + 10530*n + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/3, 0.2, 18, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a + 3. Let j be y(4). Does 17 divide j - 1 - (6 - 42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.39 + -0.29. What is the nearest to x in 1\/3, -4\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*c - 3*b, 0 = 2*c + 3*b + 1 - 5. What is the second derivative of -6*n**4 - 2*n - c*n + n**4 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.57 times 436866?\nAnswer: 1559611.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2573, -8897, -19423, -34145, -53057, -76153, -103427, -134873?\nAnswer: -170485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30))\/(4960\/930)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -817*o**4 - 11*o**2 - 4*o + 49510 wrt o.\nAnswer: -3268*o**3 - 22*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 11*t**2 + t + 149. Give h(-12).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + v + 119 + 30 - 61.\nAnswer: v + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1576712 + 201?\nAnswer: -1576511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Let n(l) = -l**2 - 8*l - 4. Let g be n(-8). Let i be 117\/18 + (-6)\/g. Solve 3*o + s - i = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t - 204 = 37 + 67 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, 6771 in descending order.\nAnswer: 6771, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 2*k + 21. Let f be m(-10). Suppose f = 4*b - 739. List the prime factors of b.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9)*9\/(-6). Suppose -v*g - 3*g + 30 = 0. Suppose -4*l - 1 = -5*r, -l - 5*r = -0*r - g. Which is greater: l or -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27736, -55485, -83234, -110983, -138732?\n\"Answer: -27749*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 46820 = -6*z. Suppose 6*a + 3889 = p + a, 4*a - z = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 + 39410*y**3 + 77498885*y**2 - 627570600*y - 9960336000 = 0. What is y?\nAnswer: -3945, -8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmwm when four letters picked without replacement from {m: 2, w: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -116. Let u = 154 - s. Let v = u + -97.0000061. Round v to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 - -112. Let j = b + 186. Solve 6 = -3*d - 5*p, j = d - 4*p - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 4*x, 5*u - 4*x + 9*x - 15 = 0. Suppose 3*n + 18 = -l + 2*l, n = u*l - 14. What is the least common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*f**3\/7 - 9*f**2 - 3*f + 18\/7.\nAnswer: -3*(f + 1)*(f + 2)*(8*f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 3, q: 10, f: 5}. What is prob of picking 1 q and 2 z?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1862)\/(-254163))\/(((-25)\/5)\/(-5)*3\/(-9)).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7624349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -330 - -476. Let l = h - 132.6. Round l to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3, -17\/40, 3, 4.\nAnswer: -45, -3, -17\/40, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 + 5*q**2 - 11*q**2)*(-7 + 7 + 2*q) + 0*q**2 + 2*q**2 + 0*q**2 + 2*q**3 to the form g*q + j*q**2 + m + b*q**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 + 8*i**2 - 26*i + 44. Does 44 divide n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -1 + -10 - 0) + 2 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - 2*(-1*sqrt(17) + sqrt(17))) + 0)**2*1 + -1*(sqrt(2448)*-1*5 - sqrt(2448)))*1.\nAnswer: 17 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + f**2 + 2*f - 3. Suppose 10*a - 15 = 5*a. Let u be z(a). What is the second derivative of 66*l**2 - 5*l - u*l**2 - 3*l**4 wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 26. Let i = 2 - 15. Let a be i\/3 - b\/33. Sort 4, a, 2 in ascending order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 22*o + 3*f + 3 = 0, 5*f + 15 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075170 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296380380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2195 to 3 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22568*y + 67689. Give f(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let z(d) = -5*d + 1. Let a(i) = 6*p(i) - z(i). Let w be a(-12). Find the second derivative of 2*o + 86 - 86 - w*o**5 wrt o.\nAnswer: -340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(375\/130) + 8. Suppose 7 - 3 = 2*b. Suppose 2\/5*q**4 - b*q**3 + 18\/5*q**2 + 4\/5 - u*q = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208627886 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1805 divide 16420085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 776 = -2*y, -80 = 4*u + y - 696. Let f be (-2 - 36)*(-1 + 0). Calculate the greatest common divisor of f and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/15)\/(8\/20). Solve 0*m + 3*m = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219\/25 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3858918 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1721.2 + 1720. Do -0.6 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 16*b**2 - 1178 + 6*b**2.\nAnswer: -b**2 - 1178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*v**5\/4 + 117*v**4\/4 - 10*v**3 + v**2.\nAnswer: -v**2*(v - 1)*(9*v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.28 in 0.08, 0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/30 and 67\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -17, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 3*w**3 + w**3 + w + 3 - 2. Let v be r(-1). Suppose 67 = 4*h - v. What is the smallest common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 2\/735?\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4800202, -9600400, -14400594, -19200784, -24000970, -28801152, -33601330?\nAnswer: -38401504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18229708 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.3133 litres to millilitres.\nAnswer: 663313.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 a factor of 4169793163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 11, z: 1, h: 1}. Give prob of picking 1 o, 1 z, and 2 j.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -15, 5, -2 in decreasing order.\nAnswer: 5, 4, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 159 = -10*c + 20*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (8 + -18 + 14 + (-12 - 1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3431 (base 5) to base 10.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14300 (base 6) to base 7\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-44) - 70\/385\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051*-6.6\nAnswer: -0.3366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1064214281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7797783 is divided by 2002.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442.7729us in minutes?\nAnswer: 0.000024046215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63036091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (264\/30)\/(2\/5). Solve 12 = d*f - 19*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + (-14 - (-97 + 15))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (3 + 4\/2). Let k(o) be the second derivative of 0 - 1\/16*o**4 - 7*o + 3\/8*o**z + 0*o**3. Factor k(u).\nAnswer: -3*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332 and 10458.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/753 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 86 - 45*l - 356*l**2 - 17*l + 62*l.\nAnswer: -356*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:26 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2165, 4, -3, -1, -4 in descending order.\nAnswer: 2165, 4, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3 + (-4 + 3 - 2)*(1 + 3 + 0))*(v - 2*v + 7*v).\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3*(-102)\/(-119). Solve 3*c + 15 = f*t, -2*t = -6*t - 4*c - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.8 (c) -52 (d) 0.4 (e) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1532 or 1508?\nAnswer: 1532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 12*k + 0*k + 43 - 49 to y + v*k and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a + 0*a)*(a**2 - 3 + 3) - 3*a**3 - 6*a + 6*a - 2*a**3 + a**3 + 0*a**3 + (-a**2 + 0*a**2 + 3*a**2)*(-5 + 5 - 2*a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.099815988 and 1?\nAnswer: -0.099815988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24593.728 + -24593.86800077. Let g = r + 0.14. What is g rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-21)\/6*10. Does 9 divide -5*(3\/7 + (-260)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47061, -46145, -45229, -44313, -43397, -42481?\n\"Answer: 916*u - 47977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 8 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 29 + 5. Suppose -1450 = -5*k - 2*c + z*c, -3*c = 15. Let h(q) = 8*q + 286 - k. Let y(l) = 3*l. What is y(h(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 24*q**2 + 54*q - 5. Determine p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + -4 - 0) + -2. Suppose w - 13 = g. Suppose 4*j = -w + 99. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 3*w + 134 = 0, -2*y = 3*w - 313. Suppose -g - 2*d = 28, 5*g - d + 2*d + y = 0. Let t = 32 + g. Solve v - t = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34589 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:46 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -427?\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 252*f + 1859. Calculate h(8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = -2*j, 3*c - 3*j - 43 + 31 = 0. Let y be (8\/(-12))\/(4\/(-30)). Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = 5*z. Let p be (-812)\/(-208) + -3 - z\/13. Which is the second smallest value? (a) -1\/2 (b) p (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - y - 26 = -536, 5*x - 5*y = 1245. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152459 - 260?\nAnswer: 1521c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 - -1)*5. Suppose -5*v - 6 = -j*m - 3*v, 4 = -2*m + 4*v. Calculate the lowest common multiple of 14 and m\/(-3)*1*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -20 - (-25 + 12 + 70)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4631 - 9262 - f + 4628 to p + w*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*k - 858 = -78 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-10)\/(-20))*((-2024)\/(-138))\/22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, 27, -4, -54, 1534 in descending order.\nAnswer: 1534, 27, 4, 1, -4, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 17*q - 13. Let g = 20 + q. What is the lowest common multiple of 84 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -7 - (14 + 882\/(-30)). Factor 33\/5*a - 6\/5 - x*a**2.\nAnswer: -3*(a - 1)*(9*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49345 is divided by 292?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5118.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*p**3 + p**3 + p**3 + 9 to the form l + z*p**3 + x*p + b*p**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4715 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1405312*i**2 + 25517*i - 75 wrt i?\nAnswer: 2810624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/24 - 5*h**2\/2 + 3. Let w(y) be the second derivative of f(y). Let n(k) = k**2. What is n(w(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325357 is divided by 27034?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1334\/5 - 266. Let u(r) be the first derivative of 0*r + x*r**5 + 1\/2*r**2 + 4\/3*r**3 - 3 + 1\/6*r**6 + 3\/2*r**4. Factor u(o).\nAnswer: o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579075.7 times -0.09?\nAnswer: 322116.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 13*g - 45. Give r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from {g: 5, h: 2, m: 1, b: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*r - 41 = 0, 3 + 1 = r. Let h = -13.898 - -12.898. Which is the third smallest value? (a) z (b) 1\/22 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8127c + 9?\nAnswer: -81273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/4 + 5909*i**3\/4 + 17721*i**2\/4 + 17719*i\/4 + 2953\/2 = 0. Calculate i.\nAnswer: -5906, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2020929, -2020933, -2020939, -2020947, -2020957, -2020969, -2020983?\n\"Answer: -d**2 - d - 2020927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(128) - (sqrt(128) - (sqrt(128)*3 - sqrt(128))))**2) + 0 + sqrt(200) + sqrt(2).\nAnswer: -512 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyggipiiiiyyiy. What is prob of sequence gigi?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**2 + 157455*f = 0?\nAnswer: 0, 31491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 1. Let r(j) = j**2 - 10*j - 1. Let d be r(10). Let v be u(d). Let m = v + 4. Does 2\/3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -24)*1\/(-1). Let q = k - -13. Calculate the remainder when 106 is divided by (-214)\/(-6) + -1 + q\/(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194810175108 + -30530650642669829\/156720. Let o be 6\/41792*-9*(-2)\/(-9). Let m = o - t. Calculate the common denominator of 89\/22 and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*o = -0*w - 638, -4*w - 4*o + 488 = 0. Let b = w + -12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r - 162. Let g be 1*-2 - (-3195)\/r. Let h = -269\/3 - g. Calculate the common denominator of h and -137\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z - 136*z = 205*z + 9101 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 12 = 0. Let x be 1\/(3\/u) + -2. Which is greater: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12488724 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24173295, -24173150, -24172993, -24172818, -24172619, -24172390?\nAnswer: -24172125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1497651026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*d**5\/3 - 56*d**4\/3 - 32*d**3 - 32*d**2\/3 + 32*d\/3.\nAnswer: -2*d*(d + 2)**3*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a5 - 1805?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 9.91. Let x = -0.0537 - 4.0363. Let n = x - w. Which is the second biggest value? (a) 5 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n - 4*n - 7*n)*(-5 - 2 + 9*n + 18).\nAnswer: 27*n**2 + 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, 58, 1 in descending order.\nAnswer: 58, 1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8\/80*-6)\/(9\/(-2))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 2844693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587204.\nAnswer: 2, 146801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (22 + -39 - -82) - (-14 + 4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 44*u**2 - 377*u - 992. Calculate g(-30).\nAnswer: -2282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*a*q**2 - 89*a*q*r + 5*a*r**3 - 16*a*r + q**3*r**3 - 2*q**2*r**3 wrt q.\nAnswer: 1064*a + 6*q*r**3 - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -182 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 222*z - 2*z**3 - 6*z**2 - z**4 + 4*z**2 - 236*z in the form u*z**3 + v*z**2 + a*z**4 + t*z + q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2058 + -2052. Solve 5*y + 9 = c - n, -5*c = 5*y - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:39 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.08 + -2.1. Let b = w + 0.09. Let u = -0.09 + b. Round u to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9887.0325 rounded to the nearest 10?\nAnswer: 9890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(0*l + 0*l + l) - 218 - 3417*l + 928 + 3416*l.\nAnswer: l + 710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -5, 31, 7.14?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 13234415?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3272968 - 13.\nAnswer: -3272981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 131*z\/4 + 721.\nAnswer: (z - 103)*(z - 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**10*q*q)\/q)**(-1\/27) assuming q is positive.\nAnswer: q**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4)*(-64)\/24. Let g(v) = -6*v**3 + v - 6 + 5*v**3 - 2*v**k + 2. List the prime factors of g(-5).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1721475453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6813, -6722, -6577, -6378, -6125?\nAnswer: -5818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdqdddqvdkdd. Give prob of sequence dqd.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, -4\/11, 1922412?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 39 + 2*g)*(0*g - g + 0*g + (2*g - 4*g + 0*g)*(1 - 2 + 4)) to the form r*g**2 + i + x*g and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -1) + 73 + -68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + sqrt(68)*-1)*-1 - sqrt(68))\/sqrt(4) + sqrt(85)\/(sqrt(20)\/sqrt(4))*-4.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -43 - 100. Let x = 147 - n. Solve -3*l = -2 - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 512*m + 46958. Give g(120).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h + 14060 = 42066. Calculate the remainder when h is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436036134 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 2, g: 1, m: 2, i: 1}. What is prob of sequence uum?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -831 - -875. Which is the third biggest value? (a) -4 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669953979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/8 + 196479*j\/8.\nAnswer: -3*j*(j - 65493)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + v = 3*w, w + v = 0. Suppose 3*b - b = w. Solve 2*m + 8 = b, -3*k + k + 3*m = -18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56051246*i**3*w**2 + i**3*w - 5277*i**3 - 2*i*w - 2*w - 27 wrt w.\nAnswer: 112102492*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4593529 + 543513.\nAnswer: -4050016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 16*d**5 - 11*d**4\/2 - 1474*d**3\/3 + 3*d**2\/2 - 9174. What is the third derivative of r(b) wrt b?\nAnswer: 1920*b - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 13902*w + 278528. Determine c(-20).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45235?\nAnswer: 5, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylalggayqalaquy. What is prob of sequence aq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2028)\/126 + (-2)\/(-21) + 4. What is the common denominator of 97\/20 and ((-60)\/112)\/5*(-244)\/t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7621.911 minutes?\nAnswer: 457314660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13187978?\nAnswer: 2, 41, 160829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 14. Suppose 103 = 5*l + 783. Let s be 6\/(-9) + l\/(-6). Calculate the highest common factor of s and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*g**2 - 1)*(-20 + 82 - 23 + 20).\nAnswer: -177*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -341, -316.\nAnswer: -341, -316, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 3*q + 3*q)*(0 + 3 - 2) + (3 + 4 - 25)*(3 + 2 + 8)*(4 - 4 + q) to r*q + u and give r.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -3) - (-6 - (7 + -17)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let k(h) = -h**3 - 5*h**2 - 5*h - 4. Let y be k(-4). Let p be y\/(3 - (7 + q)). Which is the smallest value? (a) p (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 796, 1418, 2040, 2662, 3284, 3906?\nAnswer: 4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(20) + -3 + sqrt(25)\/sqrt(5).\nAnswer: -10 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*-1*1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, h: 3, f: 6, e: 1, n: 5}. What is prob of picking 2 f, 1 h, and 1 n?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 + 2*t**2 - 1. Suppose 5*y + 1 + 6 = 3*r, r + 2*y = -5. Let z be p(r). Let m(k) = -k + 3. Calculate m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 28*p + 17. Determine k(-15).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*v + 2 = -0*v, 4*v = 12. Let j be (-7)\/(-1) + (-1)\/(3\/6). Solve d = 2*i - c, -d + 6*i - j = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27505, -54899, -82063, -108883, -135245, -161035, -186139, -210443?\nAnswer: -233833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 1\/3*b**4 - 6 - b**3 - 1\/30*b**5 + 3*b**2 + 0*b. Let c(t) be the second derivative of x(t). Factor c(g).\nAnswer: -2*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**(-11\/3)*k))\/k*k**(5\/3))\/((k\/k**(5\/2))\/(k\/k**(2\/9))))**(6\/17) assuming k is positive.\nAnswer: k**(137\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13*n = 290. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801091\/50 - 16023. Calculate the common denominator of o and 145\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b**2 + 4*b - 23. Let k be l(1). Sort -12, k, -25, -1, 4 in decreasing order.\nAnswer: 4, k, -1, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 10) in base 16?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/3)\/(3\/6). Let k be j + 3\/((-9)\/3) - -3. Sort k, 5, -2, 4 in increasing order.\nAnswer: -2, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12023220 (base 5) in base 11?\nAnswer: 76494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 706.923 years?\nAnswer: 8483.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323704\/56 - (6\/69 - (-1482)\/3059).\nAnswer: 3, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = -5*f. Let n(g) be the second derivative of 0*g**f + 1\/12*g**4 + 0 - 3\/2*g**2 - g. What is the first derivative of n(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 67*s**4\/24 + 43*s**2\/2 - 61*s. Let d(q) be the first derivative of k(q). Let g(a) = a**2. Determine d(g(p)).\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*g - 10, -2*g - 10 = -4*g. Suppose -11*f + 20*f - 2124 = t. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4642 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -662*c - 404. Let i(u) = 56*u - 2. What is -12*i(k) - l(k)?\nAnswer: -10*k + 428","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/39758467 + 176425357396\/516860071. Let j = d - 2532\/13. Let g = j - 147. What is the smallest value in -2\/11, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t**2 + t - 11. Let h(p) = -p**2 - 2*p + 6. Let z be h(-3). Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 325 and 0.037.\nAnswer: 12.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1600 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t + 39. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 250 = -685. What is the highest common divisor of u and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -1 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689 = 13*t + 182. What is the remainder when t is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2*z + 0*z)*(0*z - 3*z - 7*z)*(-3 + 4 - 3) to the form g + v*z + i*z**2 and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - -6) + -8 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*a - 6. Suppose 0 = -5*v - 10 + 55. Let c = v - 6. Solve -s + a = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7454824 divided by -1118.\nAnswer: -6668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20899, 20234, 19569?\n\"Answer: -665*q + 21564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8500887 divided by 46.\nAnswer: -8500887\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*4 + sqrt(7)) - sqrt(11)) + (2*sqrt(44))**2.\nAnswer: -4*sqrt(11)\/5 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 minus -17115.1?\nAnswer: 17016.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76))\/sqrt(4) + -5 + sqrt(114)\/sqrt(6).\nAnswer: -2*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*b = -2*l + 1, 2*l + 6 = 3*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 3*c**5 + 14*c**5 + (-2*c + 3*c**3 + 2*c)*(-5*c + 5*c - 2*c**2).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000158213 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1501, -1500, -1501, -1504, -1509, -1516, -1525?\n\"Answer: -a**2 + 4*a - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3131 + -3104. Solve -k*t + 90 = -9*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 746 = -94. What is i rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-35)\/m*m*m*m**29*m*m*m)\/((m*m\/(m**(-12\/11)\/m)*m)\/m)**(-13) assuming m is positive.\nAnswer: m**(563\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -1 + (-2 - -1). Let o be (2\/m)\/2*0. Find the first derivative of 5*q + 4 - 4*q + o + 0*q wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 14}. What is prob of sequence ghhh?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2032)\/(-36)*3 - 3\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 2*r + 1. Suppose 0 = x - 5*o + 5, 4*o - 6*o = -4*x - 38. Let m be (1\/(-2))\/(5\/x). Calculate a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -1\/4*u**4 + 0 + 19*u - 5\/2*u**2 + 0*u**3. Let p(k) be the first derivative of -k**3\/3 - k + 3. Give -10*p(c) + 2*v(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - o + 6*o. Let y(g) be the second derivative of -1\/2*g**3 + 0 - 9*g + 0*g**2. What is m(y(v))?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 11*v + 10. Put -21, -1, v, 4 in decreasing order.\nAnswer: 4, v, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - v**2 - v**2 + 0*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.046 - -0.046. Let f = -53\/7 + 55\/7. Sort a, -2\/5, f, -2 in descending order.\nAnswer: f, a, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 - 32*u**2 + 12*u**2 + 15*u**2 + 21*u**4 - 5*u**4 - 2 + 30*u**3 in the form b*u**2 + h*u**3 + w + t*u + q*u**4 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117060, 116962, 116900, 116874, 116884, 116930, 117012?\n\"Answer: 18*g**2 - 152*g + 117194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 152 - 136 = -5*j, -3*j + 5*h + 200 = 0. Let s = j + -12. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23720.2882969 + 23720.3. Round n to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itttitiee. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k. Let p(w) = -2*w**2 + 9*w. Let a(b) = -b**2 + 4*b. Let v(c) = 9*a(c) - 4*p(c). Calculate h(v(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -461230 * -152\nAnswer: 70106960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6691 - 19619 = 5*l. Let z = l + 7741. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/56633963?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + (sqrt(5) - sqrt(20))*-2)*-6 + ((sqrt(605) - (-3*2*sqrt(605))**2) + sqrt(605) - ((sqrt(605) + -1 - sqrt(605)) + -2)).\nAnswer: -21819 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 8 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 16*f + 58*f - 22*f + 3 + 7*f.\nAnswer: 10*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*m - 10 - 29. Sort m, -5, 3, 0, 732 in decreasing order.\nAnswer: 732, 3, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 40 = -2*l - 5*r, 8 = 2*l - 4*r. Suppose f = -f + l. Let q = f + -8. What is the closest to q in 0, -0.2, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = 0, -4*d + r - 338371 = -14*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(66)\/(2*sqrt(864) - sqrt(864))).\nAnswer: 5*sqrt(11)\/12 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6578000 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*b + 3*b. Let w = b - -4. Solve w = -2*t + 5*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10421*g - 159236 = 851601 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 23*d + 18. Calculate w(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 11*n + 2. Let u be d(-12). Let c = u - 13. Let m be (2\/(-5))\/(c\/15). Let a(l) = -l**3 - 5*l**2 + 8*l + 8. What is a(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -3, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1. Let s = -16 + 14. Let k be -8 - (-3 - (-2 - (3 - s))). Let m(g) = g**2 - 3*g - 6. Let u(l) = k*n(l) + 3*m(l). Find r such that u(r) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860625643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**3 + 312*v**2 - 55. Determine c(-39).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/11)\/b**(1\/3)*b**(-3\/8)\/b*b**(-3) assuming b is positive.\nAnswer: b**(-1291\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6210 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 0.07. Let x = -32\/15 - -14\/5. Put z, x, 8 in ascending order.\nAnswer: z, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:21 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -186*g - 4. Let p(h) = -113*h - 2. Let x(r) = 7*f(r) - 12*p(r). Let l(v) = 3*v**2. Calculate l(x(c)).\nAnswer: 8748*c**2 - 1296*c + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2111*r**2*v - 7*r**2 - 7*r*v - 33*r + 831619566*v with respect to r.\nAnswer: 4222*r*v - 14*r - 7*v - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**3\/3 + 7*j**2\/2 + j. What is the lowest common multiple of s(3) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6714449118.\nAnswer: 2, 3, 13, 28694227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:50 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/(-720))\/(66\/(-24)) + (-36)\/594?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -42, 0.5, 4 in descending order.\nAnswer: 4, 0.5, -42, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 89. 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 hundreds digit of 49391648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose -3*q = -q + j - 36, i*j = 2*q - 46. Let p be (-10)\/(-3)*30\/20. Solve p*k + q + 6 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*r - 11. Suppose -c + 3*c - r = 2*j, j = -4*c - 3. Let l be c\/(-1 + (-3 - -3)). Solve b - 1 + 0 = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 6\/13, 6 in decreasing order.\nAnswer: 6, 6\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*b**3 + 3 + (-7*b**2 - 2*b**2 - 20*b**2)*(b - b + b).\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2323, -4513, -6573, -8503, -10303?\nAnswer: -11973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76 and -24.\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 2*r + 2, 4*r = 5*b + 5. Suppose 4*y + r*y = 448. Suppose -v = 3*v - y. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 + a + 3. Let g be q(0). Suppose -9*k + 14*k - r - 11 = 0, 3*k - 2*r - 1 = 0. Factor -6*c**2 - 6*c**g - 6*c**k + 5*c - c - 2*c**2.\nAnswer: -4*c*(c + 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22223400 and 40002120?\nAnswer: 200010600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 - 11*c. Let o(f) be the second derivative of -11*f**3\/6 - 50*f + 3. Determine o(p(r)).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 1, 4, 1551, -0.4, 56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 860, 2326, 4954, 9068, 14992?\nAnswer: 23050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b**5 - 10700*b**4 + 2066976*b**3 - 8492800*b**2 - 33075200*b + 138624000 = 0. What is b?\nAnswer: -4, 4, 30\/7, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672686?\nAnswer: 2, 1336343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -111. Let h be (45\/j - -3) + 1\/2. Let q be (-29)\/(-3 - (h + 2)) - 3. Calculate the highest common factor of q and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2895, 2883, 2871, 2859, 2847?\n\"Answer: -12*s + 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 12 = 2*k, -18 = -3*k - j + 3*j. Let p = 11 - -1. What is the remainder when p is divided by ((-4)\/k)\/((-2)\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**2. Let c(z) be the third derivative of 3*z**5\/5 + z**2 + 10*z. Let b(q) = -4*c(q) - 21*t(q). Let w(x) = 14*x**2. Calculate b(w(o)).\nAnswer: 588*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1897721 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:12 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:02 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z + 3 - z**2 + 3 - 4 - 3. Let c be q(7). Solve r - 4*i = -r - 10, -4*r = -i + c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000142 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9495186 kilograms in grams?\nAnswer: 949.5186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*f**3 + f**2 + 3 - 31*f**3 - 64*f**3.\nAnswer: 8*f**3 + f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2 - 3*b - 10. Let m be a(-6). Let x be (m\/30)\/(2\/(-6)). Suppose 15*p = 14*p + x. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 403.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2741.982.\nAnswer: 822.5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + d**3 - 2*d**3)*(-2 + 0 + 4) + 232951 - d**3 - 232951 - 1595*d.\nAnswer: -3*d**3 - 1595*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**4 + 1540*c**3 + 12640*c**2 = 0.\nAnswer: -8, 0, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f = -92. Let k be (-1820)\/6 - (-4)\/12. Calculate the remainder when 4\/(-14) - k\/7 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*x - 15 = 0, -12*z - 12 = -16*z - 5*x. Let h(g) = 155*g + 45. List the prime factors of h(z).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53431\/932315 - 65\/937. Find the common denominator of -39\/1592 and i.\nAnswer: 7960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 7*a**2 + 9*a + 8. Let o be h(-8). Let v be (7 - 6\/2) + 1. Let n = v - 0. Solve o = -x + f - 7, n*x - 2*f + 3*f + 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*s + 29 = 0, 23 + 17 = 4*n + 4*s. What is the units digit of (-6)\/(-4)*(590\/30 - n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10882*r**2 + 241606*r.\nAnswer: -21764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b - 47413 - b**3 - 3*b**3 + 97*b.\nAnswer: -4*b**3 - 47413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68982*n - 5*n**2 + 68982*n + 3*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 6. Does 10 divide 12\/9*z + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + 3, 0 = 4*u + 3*i + 27. Let m be (u\/6)\/(6\/8) - -5. Suppose -5*g = m*x - 280, -x = -7*g + 3*g - 82. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 - 329.162. Round k to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/15 (b) -4\/9 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10527282 is divided by 181?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/(s\/s**(-3))*s*s\/s**(5\/6)*s**(9\/5))\/(s**(4\/5)*s\/(s*s**1))**(-23\/3) assuming s is positive.\nAnswer: s**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f - 1. Let s be j(-3). Solve -s*l = 2*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/80*18 + 3\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11368304?\nAnswer: 2, 710519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22800922?\nAnswer: 2, 43, 47, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.043 (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 809*u**2 - 2706*u + 2189152. Determine v(809).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -922.2 + 922.4. Let f = 5.7 + 1.3. Sort f, d, -1\/6, -0.5 in decreasing order.\nAnswer: f, d, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 1. Let n = -11 - 1. Let o = n + 14. What is g(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, -673, 0.01 in ascending order.\nAnswer: -673, -5, -1, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2701753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6904 - 0?\nAnswer: 6904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -50840, -3 in decreasing order.\nAnswer: -3, -131, -50840","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -668? (a) 4 (b) 0.2 (c) 3 (d) 0.1 (e) 3\/2 (f) 491\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 28 + 2740*u + 22763*u + 48 to the form l + n*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9320289.\nAnswer: 3, 11, 59, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*c + 3*v = -470*c - 3, -4*c - v = 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4102*x - 80352 = -20770 - 11041 + 41703 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 5. Let j(g) = -1. Let m(r) = -d(r) + 2*j(r). Suppose -50 - 6 = 8*v. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -86)*(-2)\/4. Let l = u - 14. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2417.2, 6, 0.05 in descending order.\nAnswer: 6, 4, 0.05, -2417.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 8. Let z(n) = -n - 4. Suppose 14*a = 55 + 29. Calculate a*m(p) + 11*z(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -41 - (-39 + -12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290582, 290963, 291344, 291725, 292106, 292487?\nAnswer: 292868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*p\/p**4)*p*p)*p)\/p)\/p**(-2)*((p**(-2\/13)*p)\/p*p)\/(p**(-8\/5)\/p) assuming p is positive.\nAnswer: p**(159\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2820976, -5642017, -8463058, -11284099?\n\"Answer: -2821041*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117962 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(684) + sqrt(684) + 1)*1 + 4 + 3 + (1*sqrt(684) + sqrt(684))*-6 + 5)**2.\nAnswer: -1200*sqrt(19) + 68500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11293*p**3 - 12216.\nAnswer: 33879*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -9.4. Let j = -1 + 3. Let i = o + j. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 9, 1597, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of (1164\/(-16) - -5)*(4 + -136) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177182.21 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - t + 8. Let d(h) = h**2 + h. Let l(p) = -5*d(p) - w(p). Let b be l(-8). Let z be 2\/11 - b\/22. Solve -2 = 3*i - z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/(-6))\/(-9*4\/8) and -125\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r + 8. Let f be (-3)\/5*(r + -7). Let k be (-8 + 9)*3*1. Solve -2*i + 17 - f = 5*u, -2*i - 18 = -k*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 246*c**3 - 205*c**2 - 205. Let h(v) = -v**3 + v**2 + 1. What is -205*h(n) - p(n)?\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(108) - (0 + sqrt(108) + -4) - sqrt(108)) - -1*(-1 + -4*sqrt(108))) + 1)**2.\nAnswer: -240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21960667?\nAnswer: 167, 131501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:06 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 444. Let z(c) = 9*c - 441. Determine -4*f(h) - 3*z(h).\nAnswer: h - 453","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = -3*z + 4, 22 = -2*z + 5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2043 - 1522 = 0. Let o = 12839\/18 + y. Find the common denominator of -39\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55216 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: Suppose 2*b + 4 = -4*d, 2*b - 2*d = 5*b + 2. Suppose -i + 295 = 3*g - 3*i, 5*g + 3*i - 498 = b. What is the remainder when g is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 441. Let t = 167.999877 - o. Round t to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4 + -2)*-1*8. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5206, -20854, -46936, -83452, -130402, -187786, -255604?\nAnswer: -333856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-15)\/6)\/5*167\/((-40581)\/(-7938))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 638 - 632. Let i be 2\/(-8)*-2*n. Solve 0 = i*m - j - 9, m = -2*m - 5*j - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, x: 6, i: 4}. Give prob of sequence xbib.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9006, 18048, 27090, 36132?\n\"Answer: 9042*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 28. Let v be (-32)\/(-14) + 10\/(-35). Suppose -5*n + 4*c = 51, 0 = 3*n - v*c - 2*c + 37. Is 4 a factor of l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 89. Suppose -8*f + s - 7 = 0. Sort 0.08, f, -1\/2 in descending order.\nAnswer: f, 0.08, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = s, -a + 9 = 5*s - s. Let q be (66\/(-9))\/(s\/(-15)). Let m = q + -33. Solve -5*x = -4*w - m, 5*x - 3*w - 21 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 44. Let h be 1\/(-3)*12\/16. Which is the second biggest value? (a) h (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 67*y - 119*y = 176*y + 18950 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 11) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-65))\/((-9)\/54)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -900, -1149, -1510, -1983, -2568, -3265, -4074?\n\"Answer: -56*i**2 - 81*i - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 27.3. What is the fourth biggest value in 1, l, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -76 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 + -629.\nAnswer: -628.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 1. What is the second derivative of -4*l - 2*l + 2*l**3 - a*l + 6*l wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.5 + -12.7. Let p = -3.8 - 1.2. Which is the closest to -3? (a) p (b) s (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21\/(-10))\/(64\/60) and -1\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35392 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2606 divide 85591464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5. Suppose -5*g - 1 + 31 = s. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2)*(2*z - z + 2*z)*(z**2 + 125*z - 1 - 249*z + 127*z).\nAnswer: 3*z**5 + 9*z**4 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 11*n**4 - 3*n**4 + (n + 4*n**3 - 2*n**3 + 0*n**3)*(-n - 3*n + 2*n).\nAnswer: -18*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 21. Suppose -4*y + w = -0*y. What is the second derivative of k + 5*k**5 - y*k - 10*k wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*h**2 + h**3 - 19*h**2)*(16*h + 10*h - 2 - 6*h) to r*h**4 + i*h**2 + w + u*h**3 + z*h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11060*g - 11566*g + 22629*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**24*v\/v**25)\/((v*v\/(v**8*v)*v*v*v)\/v**(-16\/5)) assuming v is positive.\nAnswer: v**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5526, -22091, -49712, -88401, -138170?\nAnswer: -199031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (508660 - 508660 + 573*l)*(-2 - 1 + 1)*(-4 + 3 + 2)*(-3 + 2 + 5).\nAnswer: -4584*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6736 - 6734. Solve 4*p - u + v = p, -4*u = p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 1060038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18179 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-37 + 19)) + 8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - 208*n + 0*n**2 + 208*n to the form q*n**2 + o*n + a and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from aaaaaaaaaxaaa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - 4 - (-12 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -1103, -905, -705, -503, -299?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211795 is divided by 681.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2603*d + 1093?\nAnswer: 2603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**7\/35 + y**6\/120 + y**4\/6 + y**3\/3 + 5*y**2 + 6. Find the second derivative of c(z) wrt z.\nAnswer: -72*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 69 - 7326*v**3 - v**2 + 7325*v**3 to the form d + x*v + m*v**3 + l*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11.786*0.04\nAnswer: 0.47144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let m be (-26 + 25)\/(1\/(-5)). Suppose 7*n - 2*v - 12 = m*n, n = -5*v + 6. Let w(c) = 2*c**2 - c + 6. Let i(b) = n*d(b) + w(b). Give i(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 324*b - 123. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 26*l. Calculate h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepeeepeeeeee. What is prob of picking 1 p and 2 e?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from zurry.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 9, 0, 4 in descending order.\nAnswer: 9, 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15042334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50125, 100370, 150617, 200866, 251117, 301370, 351625?\nAnswer: 401882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -265091, -1060305, -2385673, -4241189, -6626847, -9542641?\n\"Answer: x**3 - 265083*x**2 + 28*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -45*m + 377. What is f(10)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/100 and -157\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from lweyoyo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**4 - 3627*g*l**3 + 846*l**3 + 2*l**2 wrt g.\nAnswer: 8*g**3 - 3627*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2063 divide 67334257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/5)\/q))**4\/(q**7\/((q\/q**8)\/q)) assuming q is positive.\nAnswer: q**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.533 - -4.433. Put r, -4, -2\/15, -5, 5 in increasing order.\nAnswer: -5, -4, -2\/15, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 1141*g**2 - 97*g - 96*g - 2*g - 1142*g**2.\nAnswer: -4*g**3 - g**2 - 195*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfc when three letters picked without replacement from cckccacckffacak.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = n - 7*n. Suppose -6*a + 3*a + n = 0. Suppose 0 = -a*r + 268 + 637. What are the prime factors of r?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 5. Let o(i) = 0*i - 2*i + 23 + 31 - 56. Let h(k) = k**3 - 2*k**2 + 2*k - 2. Let d be h(2). Let r be o(d). Give j(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1247 = -4*l, 2*l + 3*c - 612 = 9. Let b = -309 + l. Solve -a = 3*h + 2*a + b, -5*a - 9 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -324\/47 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Suppose -s*u = u. What is the second derivative of -3*x**5 + 5*x**5 + u*x - 2*x wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyurfsnyfrfn. What is prob of picking 1 y, 2 r, and 1 f?\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0. Let w(u) = -u**2 + 6*u + 8. Let t be w(7). Let b be 3*t*3\/(-3). Which is greater: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -2\/61 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.27 - -160?\nAnswer: 164.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2440569 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402080 is divided by 155.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1 - (1 + -2). Suppose -6 = 4*d + 2*p, -8 = 5*d + 3*p + 1. Find the third derivative of -4*u**4 + d*u**4 + u**4 + 2*u**4 - l*u**2 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 9*d - 8*d - 24 = 0, 3*b + d = -16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from oozztobocc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-24)*56 + -4. Factor -4\/5*g**2 + 0*g - 4\/5*g**i + 0.\nAnswer: -4*g**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 1820 = 30*n + 24*n - 24*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*k**5 - 16641*k**4 + 3999568*k**3 - 315977464*k**2 - 801858288*k - 481864592 = 0. Calculate k.\nAnswer: -34\/23, -1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*1*((-2 + sqrt(475))*4 - (sqrt(475) - (sqrt(475)*-2 + -5 - sqrt(475)))))**2.\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:25 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, -2, 1 in increasing order.\nAnswer: -2, 1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131512402 + 1?\nAnswer: 131512403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-9) + -10 + 0 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 208\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.551 + -0.051. Which is the biggest value? (a) -4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/61, 5, 0.4, 9 in ascending order.\nAnswer: -1\/61, 0.4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 - 6*y**2 + 16*y - 72\/7.\nAnswer: 2*(y - 18)*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisisssssss. Give prob of picking 1 s and 1 i.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(4 + -1)*9. Let a be l - 3 - -3*2. Let m be (0 - -2)\/(4\/a). Solve -m*c - c - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30403431 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = -585. What is the remainder when x is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3803954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = 26*t - 1145988. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 1, 0.5, 4749?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101323201321 (base 4) in base 14?\nAnswer: 8a4d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, 41, -95, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3601 minus 9437581822?\nAnswer: -9437578221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-7) + -7 + (-7541)\/7. Let c = -74 - y. What are the prime factors of c?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmkmmmmmfmmmm. What is prob of sequence fmk?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124218, -248437, -372654, -496869, -621082?\nAnswer: -745293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/12 - 2*f**3 - 2*f**2 - 27*f. Suppose -5*z + 62 = 2. Let j be a(z). Let b(g) = -g**2 - 2*g + 5. Determine b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -9, -0.3, 2.\nAnswer: -9, -0.3, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*x + 9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -1526, -3 in increasing order.\nAnswer: -1526, -3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3994 = 3*c + c - 466. Which is smaller: c or -881?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1*(-8)\/(-6). Suppose l + 6 = 5*o. Find the second derivative of o*w - 3*w**3 + 2*w**3 + w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 4*k - 4*l - 274, k = -4*l + 86. Suppose 66*s + k = 57*s. Which is the nearest to 0.2? (a) 0.1 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1496 = 6*x, 24*v - 26*v - 10 = 0. What is the greatest common divisor of x and 9922?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373656119 divided by -1?\nAnswer: -373656119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + -1.07. Let x = 7 - k. Let z = x - 7. Are -0.3 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/27*306\/(-68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 8}. Give prob of picking 2 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qppq when four letters picked without replacement from ppiqppipqpqq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.01 - -0.01. Let t be 32\/(-72) + 4*(231\/(-108) - -2). Put j, -9, t, -0.5 in ascending order.\nAnswer: -9, j, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**3*x**3 + 159*k**3*x**2 - 18*k**2*x - 6*k**2 - 2*x**3 - 4*x wrt k.\nAnswer: 18*x**3 + 954*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 56*b**2 - 4*b - 4. Calculate r(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 4419*x**2 - 357318*x + 732336 = 0.\nAnswer: -1387, -88, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1094182 less than -1094182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*n = 10, 2*b = -b - 5*n - 17. Let i be (1 + b - 2)\/(-1). Find the first derivative of 0 - 3 + i*k + 3*k wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 381 + -313. Let r = -36 - -50. Calculate the remainder when c is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + ((-40541)\/(-11) - 312\/572). Calculate the greatest common divisor of 217 and o.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 1, b: 3, o: 2, e: 1, d: 2, w: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83\/(37433\/8692) + (-3)\/11. Let g(y) be the second derivative of -j*y + 0 + 3*y**2 + 1\/6*y**4 + 4\/3*y**3. Find o such that g(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-two fifths of a milligram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5*-1)\/(1568\/2940)*-16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4313.03472 to zero dps.\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3464, 3849, 4494, 5399, 6564, 7989, 9674?\n\"Answer: 130*i**2 - 5*i + 3339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 greater than 17344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16606 and -1.462?\nAnswer: 24277.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60*(76\/30)\/((-15)\/(-150)).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/1 + (12 - 11). What is the greatest common divisor of r and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 2112*a**3 + 294408*a**2 - 1237248*a - 3635280 = 0. Calculate a.\nAnswer: -510, -198, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 3702*w**2 - 11085*w - 7386 = 0. Calculate w.\nAnswer: -1231, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*j**4*k - 6555*j**3*k**3 + j**2*k**3 - 11*j*k**3 - k**2 - 126516 wrt j?\nAnswer: 12696*j*k - 39330*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b - 4. Let v = -4 + 6. Suppose 4*q = -2*p - 24, -24 = q + 3*p + v*p. What is the units digit of u(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 5, -13, -3.\nAnswer: -13, -3, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -18. Let g(b) = -7*b**2 - 32*b + 29. Calculate the lowest common multiple of r and g(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4465\/24 + -186. Let t(u) be the second derivative of -b*u**3 - 1\/80*u**5 + 2*u + 0 + 0*u**2 - 1\/24*u**4. Factor t(l).\nAnswer: -l*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17))**(-44)\/(d\/((d\/d**(-4))\/d))**(11\/5) assuming d is positive.\nAnswer: d**(1001\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - u - 7 - 3*u + 14 + 0*u. Let s(c) = 3*c - 6. Give -6*h(o) - 7*s(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -346 or -341?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 454*w**3 + 2*w**2 - 13. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*h**2 + 52*g**2 + 579*g*h**4 - 3*g wrt h.\nAnswer: -2*g**2*h + 2316*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -15333404?\nAnswer: -15333400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -i, -5 = -3*r - 2*i + 5. Suppose 5*y = 5, r*y + 5*y - 9 = 2*l. What is the second biggest value in l, -0.3, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(405)))**2 + (sqrt(4860)*-2)\/sqrt(12).\nAnswer: -90*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 2. Let m(v) be the second derivative of 0*v**2 - 3\/50*v**5 - 1\/15*v**3 - 5*v + 0 + 1\/10*v**h + 1\/75*v**6. Factor m(d).\nAnswer: 2*d*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 1, -24 in descending order.\nAnswer: 1, 0, -15, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 2*o**5\/3 + o**4\/12 + 7*o**2. List the prime factors of k(-1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -7. Let z be q\/(-4) + 14\/(-4). Let j = z - -2. Solve -2*v = -j*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1868 by 126.\nAnswer: 934\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*j*z**3 - b*z**3 + 2*b*z**2 + b + j*z**3 - j*z - 3*j + 4*z**3 - 12*z**2 wrt z.\nAnswer: -18*b*j - 6*b + 6*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/31)*g*g)**20 assuming g is positive.\nAnswer: g**(1300\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/7))**(-13)\/(g**(1\/14)\/g*g*g\/g**(-26)) assuming g is positive.\nAnswer: g**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25436295 is divided by 715.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*p - 18, 2*r - 5 = 2*p + 1. Suppose z + 5 + 4 = w, r*w - 85 = -5*z. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:24 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(2916\/135))\/((100\/(-504))\/5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 11. Let v be a(-8). Let n(r) = 3*r**2 + 11*r - 4. Let j(i) = -i**2 - 5*i + 2. Let s(u) = 5*j(u) + 2*n(u). Let q be s(v). Solve t = q*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 + 733*f**2 - 1470*f = 0 for f.\nAnswer: -735, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and 0.098.\nAnswer: -19.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**11*k)\/k)\/(k*k**5\/k))**(-2\/149))**(-5\/8) assuming k is positive.\nAnswer: k**(35\/596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.13 + -35.088. Let g = x + -0.042. Sort -0.5, -4, g in increasing order.\nAnswer: -4, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907 = 61*w - 171*w + 3437 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert e0 (base 16) to base 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 875. Let k be u(0). Suppose -4*w + k = w. Suppose -2*l = 3*l - w. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993236*q**2 + 303253*q**2 - 1135901*q**2 + 398419*q**2.\nAnswer: -1427465*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 2*p + 3 + 4*p + 0*p. Let f be o(3). Suppose -r - f = -6*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (854\/70 - 12) + 405\/225. Determine w, given that 81\/5*w - 21\/5*w**3 + 27\/5*w**h + 3\/5*w**4 - 162\/5 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1496 divided by -218504\nAnswer: 17\/2483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3307838.31 minutes?\nAnswer: 328.1585625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -144. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 13. Let b be v(10). Suppose -38 = -2*j + 4*j. Let a = b - j. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9490, 9485, 9480?\n\"Answer: -5*a + 9495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 40 + 57 - 140 + 45.\nAnswer: 3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - 4*sqrt(1053)*1)**2*-6.\nAnswer: -56862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11101101011111111000101111?\nAnswer: 11101101011111111000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -839*y + 53. Let v(q) = 164*q - 11. What is -3*d(n) - 14*v(n)?\nAnswer: 221*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313.5458 millennia to decades.\nAnswer: 31354.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165877951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*k - 5*u = -410*k - 25, -37*k + 4*u = -21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1220 - 3628\/3. Find the common denominator of n and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10156838 is divided by 191638?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 3792*q - 1898*q + 168 = 1892*q, 3*k - 3*q - 42 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 + 5*k - 11. Let h be y(-7). Suppose 5*c - 25 = -z + h, 3*c = 5*z. Let l be (c\/(-3))\/(9\/((-270)\/25)). Solve 0*u + l*u + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 2336 - 4671 + 2335.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3569 = -6676*x + 6759*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose 4*d + v - 39 = -2*v, 0 = 4*d + 4*v - 44. Let y be (2\/(-12))\/(2\/d). Are y and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let i(k) = -1. Let x(t) be the third derivative of -5*t**4\/24 - t**3 - 2*t**2. Let d(z) = -6*i(z) + x(z). Give d(h(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40254588 and 2134713.\nAnswer: 281782116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -933, -1414, -1895, -2376, -2857?\nAnswer: -3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(68) + sqrt(68)))\/sqrt(4).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -867*d + 256*d**3 + 195*d**3 + 570*d**3 + 340*d**3 wrt d.\nAnswer: 8166*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*l - 6 = 11*x, 2*x - 4*l = -14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 37.7. Let o = f + -2.534. What is o rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, t: 1, h: 2, m: 1, r: 1}. Give prob of picking 1 r, 1 a, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1413 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) 1 (b) 0.2 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -0.2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4421, -4, 4\/349, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 22*n - 50. Let f(v) = -25*v + 54. Let c be f(2). Give u(c).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let n(h) = -h - 5. Give -n(i) - 2*s(i).\nAnswer: -i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a factor of 32452557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 2355, 4338, 6527, 8916, 11499, 14270, 17223?\nAnswer: 20352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -0.91. Let u = w + 1.07. Let t = -0.1699993 + u. What is t rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/46 (b) 1 (c) 0 (d) 0.3 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/6096 and 2\/1397.\nAnswer: 67056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 72. Solve g**m + 5*g**2 - 5 + 3 + 8*g**2 - g - 11*g**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/2)\/((-210)\/10500*50).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 16. Let a(s) be the third derivative of s**5\/60 - s**4\/4 + s**3\/2 - 8*s**2 + 6*s. Does 19 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11321*p**2 - p - 8. Let c be a(3). What is c rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.53 and -2628177.835.\nAnswer: -2628178.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -274*y - 1. Let r(p) = 275*p. Calculate 7*k(b) + 6*r(b).\nAnswer: -268*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d - 58*d + 373 + 563 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136\/9 - -3217\/198. What is the common denominator of u and 103\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*f**3 - 190*f**3 - 55*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380754032.\nAnswer: 2, 97, 173, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 82, 1, 1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + 2\/5. Suppose -2*f - 5 + 15 = s. Suppose 0 = -f*x + c + 96, -6*c = -5*x - 2*c + 84. What is the remainder when 58 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4, 27*c - 4*q + 1032 = 32*c. Let s(h) = -11*h - 5. Let u be s(-7). Suppose 4*k = u + c. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 - -4. Let t = -4 - -3.96. Let y = -5.04 - t. What is the third smallest value in -2\/7, y, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2218541.67s to days.\nAnswer: 25.677565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -4\/1035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(54)\/sqrt(9)))\/(sqrt(1152)*-1).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (sqrt(228) - (sqrt(228) + sqrt(228)*2) - sqrt(228)))*3)\/(sqrt(432)*5))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.74223 days?\nAnswer: 22668.8112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (990\/(-35)*46\/46)\/(37\/((-5698)\/165)).\nAnswer: 132\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2023\/(-170) - -12)*-2)\/(-4*3\/(-780))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 26*b - 11 - 26*b + 5*b**2. Let f(w) = 2*w**2 - 4*w + 8. Let y(o) = -3*o**2 + 5*o - 9. Let n(p) = 5*f(p) + 4*y(p). Calculate -11*n(a) - 4*t(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256312.\nAnswer: 2, 7, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*224\/(-420).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480678768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 27*g + 1. Calculate the remainder when n(-14) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 14*u**2 - 11*u. Let x(c) = c**3 - 7*c**2 - 6*c. Let v(h) = 93*h + 102. Let s be v(-2). Let m = -95 - s. What is m*x(b) + 6*j(b)?\nAnswer: b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbqqqqbdqoqbqbbqqb. Give prob of sequence do.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3\/3 + 73*s**2 + 144*s + 27. What is b in r(b) = 0?\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7 - m + 7 - 1 - 5*m**2. What is d(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5789*v - 3 - 1 + 12 - 10.\nAnswer: -5789*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 + 71*z - 5041\/2 = 0. What is z?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k**2 + 45*k - 1. Suppose -35 = -6*l + 7. Let u be o(l). Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6*c + 15 = 5*m, 0 = 4*m + 2*c - 12. Suppose -3*a + 9792 = -3*n, 17*a - m*n = 21*a - 13091. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 1677*k**2 + 1308390*k - 2623464 = 0 for k.\nAnswer: -439, 2, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 12) + (58 - 50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5859)\/(-42))\/(-9) - -19)\/((-1)\/(-6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 + 4. Let g(v) = -1199274*v - 4. Let n be g(w). Suppose 2*m = -n - 3602182. Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2775736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -1\/8*x**4 + x**2 + 1\/60*x**6 + 0*x**3 + 0 + 0*x + 0*x**5. Find the second derivative of y(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 3\/2*z**2 + 1\/6*z**3 - 12*z + 0. Let k be v(-2). Solve -h = -k + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bppppppppbbpbpbbbbb. What is prob of sequence bbbb?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 204014851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89920, -179654, -269202, -358564?\n\"Answer: 93*n**2 - 90013*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*l = -718*l + 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8409.897 to the nearest 10.\nAnswer: -8410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 3, -7, 129, -1\/8 in increasing order.\nAnswer: -7, -1\/8, 0.07, 3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from vvuuvumkvrkuvruku?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 34 + 6. Let g be (c\/(-4))\/(145\/60 - 2). Suppose g*z = -0*z + 168. What is the greatest common divisor of 84 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/9360 and 107\/4010.\nAnswer: 3753360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04219319 rounded to five decimal places?\nAnswer: 0.04219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 44. Suppose 2*t - 81 = 5*t. Let a = v - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u. Suppose b + b + 6 = -4*f, 18 = 3*f - 3*b. What is the units digit of y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.78 + 4.18. Which is bigger: 48 or i?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let a(u) be the third derivative of 0 + 5\/24*u**4 + 0*u + 0*u**3 + 7*u**2. Determine w(a(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:15 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 - (-25 + (-27 - -19)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**4 + 21*r**3 + 75809.\nAnswer: 24*r**3 + 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2980b16 (base 13) in base 10?\nAnswer: -13225621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (87\/2)\/((-3)\/4). Let v = w - -87. Solve -6*o + 2*o + 9 = f, -4*o - 5*f + v = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119498250*d**5 + 866*d**2 - 9452*d - 1 wrt d?\nAnswer: 7169895000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*l - 15 + 2, r - 7 = 2*l. Let a = -2 - l. Suppose -5*t + a*t = -90. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i + 6. Let a = 37 - 40. Let t be f(a). Does 21 divide 261\/6 - (27\/t + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -475280 (base 10) to base 7.\nAnswer: -4016441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10341, -10347, -10365, -10401, -10461?\n\"Answer: -w**3 + w - 10341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/9*(7*(1 + 54\/(-42)))\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and -109\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938343849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -33 (b) 2\/13 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/((-3942)\/(-5256)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 4, 24, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2 - 99 = 5*n + 113, 51*n = 5*b + 210 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.254152 millimeters in centimeters?\nAnswer: 0.7254152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + 1.208. Let w = -0.108 + x. Which is the fourth smallest value? (a) w (b) 17\/3 (c) 2\/13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -10312.\nAnswer: -10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15108361579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 20\/19*y**2 - 28\/19 + 2\/19*y**5 - 40\/19*y**3 + 8\/19*y**4 + 2*y = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 209 = -3*f. What is the greatest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12616 + 0.036108. Let u = -0.09 - b. What is u rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {z: 3, x: 15}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 4, t: 1, c: 1, w: 4, n: 3}. Give prob of sequence cti.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365933600 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4205895 and 292584?\nAnswer: 33647160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 23. Let j = v + -53. Let u = j + 34.9994. What is u rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -951d (base 16) to base 12\nAnswer: -1a111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.54901 millilitres in litres?\nAnswer: 0.05654901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 + (-6 - 3). Does 5 divide 3\/((-5)\/(105\/w))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524 + -2225.7.\nAnswer: -2749.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.42? (a) -2 (b) 1\/9 (c) 0.5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-14 - -5) + -45 + 87?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0249 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v - 3*v + (-v - 15*v + 6*v)*(0 + 0 - 1))*(2*v - 2*v + 2*v**2).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 354170192?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*a = 29, 3*a + a = 20. Let m = g - -1. Solve -3*w - 6*k = -m*k - 17, -3*w = -4*k - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i - 568 = -23*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65619 and 7291?\nAnswer: 65619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94314, 94130, 93622, 92628, 90986, 88534, 85110?\n\"Answer: -27*z**3 + 5*z + 94336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 35 + 18 = 4*r, 13 = -3*r - 4*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-124)\/217)\/(((-2)\/(-1))\/(-28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lltiiiilillilllll?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12350.\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*s + 3280*s = 792*s - 163*s - 123984 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2)*(2*k**2 + 2*k**2 - 2*k**2) + (k**2 - 2*k**2 + 0*k**2)*(5 + 1 + 1).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*c + 0 - 1 - 75*c + (-32*c + 92*c + 26*c)*(-2 + 3 + 2) + 1 - 1 + 2*c)*(-3 + 3 - 2*c).\nAnswer: -458*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/3*-1)\/(2\/(-93)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q - 5*d - 98, 0 = -3*q - 3*d + 90. Suppose -q*k = -28*k - 15. Solve 0 = u - k*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 586\/(-10) + -61 + (-5634)\/(-90).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 1, b: 1, a: 1, e: 1}. Give prob of picking 1 u, 1 j, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1650684 (base 10) to base 15.\nAnswer: -229159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 12176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -18051a?\nAnswer: 18052a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -22. Suppose -5*i + f = -3*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283*i*p**4*r - 2*i*p**2*t + 4*i*p**2 + 11*i*p*r - 5042*p**5*r*t + 4*p**2*r*t + 2*p**2*r + 2*p**2 + 31*r*t wrt p?\nAnswer: -6792*i*p*r - 302520*p**2*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20019.36 + 0.9.\nAnswer: -20018.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3740)\/561)\/(-1*8\/4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*j**4\/8 - 255*j**3\/8 + 231*j**2\/4.\nAnswer: -3*j**2*(j + 11)*(9*j - 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -494 - -974. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78139 + -78184.037. Let t = 43.21 + r. Round t to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(13\/(-15))*(-10)\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/22 + 0*3\/9. Let b = 5 - 2. What is the nearest to 1\/6 in b, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 35 = -35. What is the common denominator of 55\/2 and ((-369)\/v)\/3 - (-5)\/35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 5\/6 (b) -0.2 (c) -20 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 249*b**3 - 2*b**5 - 10*b + 1 - 237*b**3 - 2*b**4 - 2 + 7.\nAnswer: -2*(b - 1)**3*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6486, 5571, 4034, 1869, -930, -4369?\n\"Answer: -p**3 - 305*p**2 + 7*p + 6785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 + 0*b**3 - 16*b**3 - 10*b**3.\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-6)\/15)\/(2\/10). Let c = g - 4. What are the prime factors of (-5)\/(-2) + c - 932\/(-8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*m = 817*m + 4704 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 3c5?\nAnswer: 3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114.58 + -114.38. Suppose 0 = -2*v + 3*o - 4, -8 = -2*v + 4*v - o. Let s be (-44)\/23 - (-5 - -3). Which is the nearest to s? (a) u (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175280.1 years to months.\nAnswer: 2103361.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*r = -1701, -f = -5*r - 274 - 83. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1024, 2065, 3132, 4237, 5392, 6609, 7900, 9277?\n\"Answer: 2*h**3 + h**2 + 1024*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 26*i**2 - 55*i + 21. What is g(-28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 + 147.2. Which is the second biggest value? (a) i (b) 1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 4:31 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5 + 9. Suppose -24 = -n*h + 84. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -2*s**7\/15 + 67*s**6\/10 + 13*s**5\/3 - 67*s**4\/2 - 116*s**3\/3 - 16*s**2 - 3*s. Find b such that g(b) = 0.\nAnswer: -1, -2\/7, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3992, -2, -47, 7, -1, -4 in descending order.\nAnswer: 7, -1, -2, -4, -47, -3992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 26*u**2 + 146*u + 36. Determine o(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -336\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f - f**2 - 5*f**5 + f**5 + f**2 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from paaamaum.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 786\/(6\/(2 + 1)). Suppose r + x = 4*r. Let k = r - 94. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21798683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1085)\/140)\/((-1)\/10)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542767858.\nAnswer: 2, 3, 141264881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + s**2 + 0*s**2 + 0*s - 1 - 2*s**4 + 4*s to the form k*s**2 + n*s**4 + b*s**3 + y*s + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.361662441 - 14979.312037559. Let t = a + 14981. Let v = 1.32 - t. What is v rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 6}. Give prob of sequence wd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**3 + 43*j**3 + 15*j**3)*(2 - 6 + 3 - 2 + 1 - 2 - 1 + 3 + 1 + (-2 + 2 - 1)*(-4 + 1 + 1) - 5 + 2 + 1).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 37627*i - 37419*i - 21*i**2 + 75045*i - 2.\nAnswer: -21*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2147796272 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 2. Let i(n) = -4*n + 4. Let w(g) = -i(g) - 2*j(g). Let r(f) be the second derivative of f**3\/6 + 10*f. Give w(r(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 5. Let s = v - 148. Let b = -79.1 - s. Which is smaller: 54 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 49*t**2 + 58*t - 63. Give y(16).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyeyyyyeeyeyeeeye. What is prob of sequence ee?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5 + 27 = 0. What are the prime factors of (-100)\/d*(-6)\/(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 6*n + 13. Let v(s) = -2*s - 16. Let j be v(-6). Let p be f(j). Let b = -863\/1547 + -3\/221. Sort p, b, 4 in descending order.\nAnswer: p, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/18)\/(p*p\/(p*p*p**9*p*p)) assuming p is positive.\nAnswer: p**(199\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/20 - -3)\/(138\/115).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13561*h*m**2 - 7*h*m - 10*h + 9*m + 2 wrt m?\nAnswer: 27122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 667378 - 667379 - 80*r**2 - 43*r**2 to b*r**2 + o + y*r and give b.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2 + 26785*r + 26780 = 0.\nAnswer: -5356, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238480730 to the nearest integer?\nAnswer: 15443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 9*k**2 - k + 11. Let n be f(9). Let r be 2 + 1 + 6 - 7. Solve r - 8 = -n*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4719*m - 18. Let n(o) = 6144*o. What is l(n(s))?\nAnswer: 28993536*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002975 to five dps.\nAnswer: 0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -10, -8\/9, 1.5, -0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*p**2 - 1 + (-1 - 2 + 1)*(-11*p - 3*p + 8*p)*(-131*p + 69*p + 27 + 66*p) as c*p + y*p**2 + r and give c.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.4, 0.3 in increasing order.\nAnswer: -11, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -231. Let v = 110.194 - -0.206. Let i = v + r. Which is the closest to 3\/13? (a) i (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 811.504 meters?\nAnswer: 0.811504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17296415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/14 + (-66)\/(-154) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g**5\/5 + 858*g**4\/5 + 219*g**3\/5 - 858*g**2\/5 - 192*g\/5 = 0.\nAnswer: -1, -2\/9, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 4*z - 3*z - 3 + 28*z**2.\nAnswer: 28*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/12 - (-22)\/12. Suppose 3*l + 15 = 4*q, -3*l + 2*q - 12 = -q. Let z be (-1)\/(-1) + l\/(-1). Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19211)\/(-2)*30\/(-37575). Let c = 2\/835 + o. What is the common denominator of -3\/11 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*a + 5 = -5, -3*a = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -34*b + 157. What is the remainder when 1531 is divided by w(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461+-13347568.7\nAnswer: -13347107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -22a18?\nAnswer: -22a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57855*b**3*x**2 - 300*b**2*x**2 - 24*b**2 wrt b?\nAnswer: -347130*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 56*l + 163*l - 7*l**2 + 2 - 53*l - 56*l. Let c(i) = -i**2 - i + 1. Suppose -y = 5*j - 2*j - 14, -3*y = 5*j - 26. Calculate y*c(g) - p(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.97 + -30.97. Which is the fifth smallest value? (a) 54 (b) -1\/4 (c) 3 (d) -1\/3 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 7*h**2 - 12*h + 16. Calculate the least common multiple of 40 and y(-8).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*m**3 + 151*m**2?\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + 10 - ((-2 + 4 + 6 - 10) + 8)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrlrrrlrrrrrlrr. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4374) + (2*(sqrt(4374)*-1 - sqrt(4374)) - sqrt(4374)))\/(6*sqrt(10)\/sqrt(5) - sqrt(12)\/sqrt(6)*5).\nAnswer: -108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -24*l - 4. Let p be z(-6). Let s be 2\/9 + 1364\/18. Let x = p - s. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 4*c. Let d be ((-4)\/8)\/((-3)\/c). Suppose -4*k + 3 = -1. Are k and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(6\/19)*p*p*p\/((p\/(p\/(p*p*p**(5\/6)\/p*p*p*p))*p*p)\/p)*p*p)\/(p*(p*p*p**4)\/p*p)**35 assuming p is positive.\nAnswer: p**(-27875\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 v when four letters picked without replacement from {v: 2, m: 4, l: 1, k: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -275*a**2*p - 63353*a**2 - 12*a*p - 133*a + 10*p wrt p.\nAnswer: -275*a**2 - 12*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268199, 536458, 804717?\nAnswer: 1072976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*n**2\/9 - 182806*n\/9 - 21508\/3.\nAnswer: 2*(n - 5377)*(17*n + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t**3 + 93*t**3 - 138*t**3 + 3*t - 3*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/14)\/((-9)\/((-9)\/(-22))))\/1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555459 is divided by 185114?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199904751 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/2 + 1768185*r**3\/2 - 8840907*r**2\/2 + 12377263*r\/2 - 2652270 = 0 for r.\nAnswer: 1, 3, 1768180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n + 40 = 3*h - 138*n, -3*h - n + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j*j\/(j\/(j*j\/j**(-4)*j)))\/(j**(-1\/3)*j)**(-1\/6) assuming j is positive.\nAnswer: j**(538\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5)\/((-4)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346246877 to the power of 1\/3, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:56 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202 (base 4) to base 16.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, 15, 46, 79, 114?\n\"Answer: s**2 + 26*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1651 * -0.368\nAnswer: 607.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5518, 11034, 16550?\nAnswer: 22066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w - 1880*w**2 - 178*w**3 + 180*w**3 + 17*w - 31*w)*(12 + 10 - 6) in the form a + y*w + u*w**2 + v*w**3 and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {s: 3, l: 1, z: 1, y: 1, a: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 11.885877\nAnswer: 11.785877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 25. Suppose 4*a = -5*k - 2 + 10, w = -3*k + 5*a. Let p be (-3 + 3)\/(-2 - -1). Solve k = -p*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h + 38. Let i be f(0). Suppose s - i = -35. Solve 3*o = -4*w + 7*w, 5*w = s*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 401840 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -365170153.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14399532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u + 7. Let z(b) = 6*b + 4. Let r(t) = 7*t + 5. Let k(c) = 4*r(c) - 5*z(c). Let w be k(u). Solve w*x + 12 + 1 = o, -o = x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 84. Let y(w) = 806690*w**2 - 7*w. Calculate v(y(f)).\nAnswer: 1613380*f**2 - 14*f + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4729*n**3 + 4656*n**3 + 4632*n**3 - 14311*n**3.\nAnswer: -294*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 11899 - 13811 + 2610 = 0. Calculate the remainder when b is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.984 - -0.016. Let d = 33.82016 + -4.81842. Let l = d - i. Round l to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-8) - (-3)\/(-24)*6. Let k be 5 - b - (-4 + 7). Let h = 0.7 - -0.3. What is the nearest to k in h, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -5 (c) 0.2 (d) 3907\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1\/3, 7, 0.3, -418?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -59*y**5\/5 - 3*y**4\/4 + 566*y**3\/3 + 367. What is the third derivative of v(m) wrt m?\nAnswer: -1416*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 2*j**2 + 5*j + 2. Let m be p(-4). Calculate the greatest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 6. Let m(s) = 2*s**2 + 46*s + 49. Give 2*m(r) - 17*u(r).\nAnswer: 4*r**2 - 10*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -100?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let l be h(-2). Suppose -3*w = l*w - 35. What is the first derivative of 5 - w - 2*j**4 + 8*j**4 + j**4 wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**30)**(-2\/57)\/((t\/(t\/t**(-1\/30)))\/((t**(14\/3)\/t)\/t)) assuming t is positive.\nAnswer: t**(313\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {c: 1, e: 3, w: 1, l: 1, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14387253 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664937 is divided by 832?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*z + 20, 14 = 3*z - 4*k - 6. Suppose -13*c + 10*c + 2391 = z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = -45*m - 154. What is the closest to -3 in 1\/5, -0.09, m, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*47\/(-4) + 2. Let d = u - 143\/3. Find the common denominator of d and -75\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*a**3 - 85*a + 85*a)*(-a - 2*a + 2*a + (3*a + 3*a - 2*a)*(2 + 0 - 4)) to g*a + p*a**4 + j + c*a**2 + y*a**3 and give p.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 304966463 to the power of 1\/2, to the nearest integer?\nAnswer: 17463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 422\nAnswer: 84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.66025503 to 2 dps.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658\/(-47)*((-2)\/12)\/(6\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a (base 12) in base 10?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 36228.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28557 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + k + 6*k**2 + 8*k**2 - 12*k**2 - 2*k in the form c*k**3 + x*k**2 + o + m*k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 678 and 198.\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -50 (b) -2\/5 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(q - q + 2*q**2) - 2*q**2 - 5 + 5 + (-3*q - 3*q + 5*q)*(-q + 4*q - q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 19*t**3 + 6*t**3 - 9*t**3 - 6*t**3 + t**2.\nAnswer: -28*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a - 4*i + 2745 = 0, 3*a + 2*i - 1647 = 0. Calculate the remainder when a is divided by 106.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1)\/((-26)\/2) - (-291927)\/979368?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 2*c - 1. Let j(u) = -1. Give 2*j(r) + m(r).\nAnswer: 2*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15678 * -0.1\nAnswer: -1567.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470 and 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/((-2)\/519). Suppose 60*q - 55*q - 1050 = 5*r, 3*q + 3*r = 636. Let a = n - q. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhveytu. What is prob of picking 1 u and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 87 - 52 + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from rrwr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l*n**3 - 219*l*n**2 + 67*n**3 - 25*n**2 - 1 wrt n?\nAnswer: 66*l + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -56.9. What is u rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(4 - 2\/((-4)\/(-5))). Suppose -s*o = -22 + 10. Suppose -o*h - 33300000 = -0*h. Round h to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*d + 313*d**2 - 85*d - 312*d**2 - 910.\nAnswer: d**2 - 910","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-15)\/18 - (-2193)\/(-774).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + -152 + 155 + (3 - 60 - 4)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-51)\/45 + (-21)\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 20. Suppose 122 = b*d + 2*p, d - 2*p = 8 + 30. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174532057 less than 0.71?\nAnswer: 3174532057.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c**2 + 0*c**2 + 0*c**2)*(6481*c - 6481*c + 146*c**2) to the form o*c**2 + s + f*c**4 + p*c**3 + d*c and give f.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + y)*(-18*y + 0*y - 2*y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-1) + -2)\/(1\/(-1)). Suppose -8 - 42 = -a*h. Let u(y) = y**2 - 2*y - 4. What is the least common multiple of h and u(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - ((5 - 18) + 10)) + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 = 53*o - 58*o + a, 3*o + 3*a = 1365. What is the highest common factor of o and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 680?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**7\/105 + b**6\/30 + b**5\/15 - b**4\/6 - 5*b**2\/2 - 24. Let f(a) be the second derivative of t(a). Solve f(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464522344, 464522342, 464522340, 464522338?\nAnswer: 464522336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 7*h + 9*h**3)*(3 - 3 - 2) - 2*h - 3090*h**3 + 3088*h**3 + 74 + 0*h.\nAnswer: -20*h**3 - 2*h + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6674 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*n + 4*n. Let k = 5.18 - 0.18. Sort n, k, 0.2 in ascending order.\nAnswer: 0.2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -129*u + 23. Let j = -28 - -69. Suppose -2*b = -j + 57. Is a(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924392259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13214 to the nearest one hundred.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 + 310 - 120 + 138*q**2 to the form t*q + v + i*q**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97.45394 milligrams?\nAnswer: 0.00000009745394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5728 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/17866?\nAnswer: 7\/17866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - 16. Suppose 0 = m + j*m - 18. Let g(c) = 2*c**3 - 2*c**2 + 2*c. Let h(w) = -4*w - 3*w**2 + 2*w**2 + 4*w**2 - 3*w**3. Give m*h(u) + 5*g(u).\nAnswer: u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 347999.\nAnswer: -1391996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 309, -1, 5, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (52294\/14262)\/((-22)\/126)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, -5, 4.\nAnswer: -5, -2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1495\/12 - -345\/4. Let p = -38 - g. Let d be 0 + (4\/(-9))\/2. Which is the third smallest value? (a) p (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h + 4. Let u(k) = k. Let x(j) = a(j) + 8*u(j). Let g be x(6). What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**4 - 7*n**3 - 1597*n - 3. Let z(t) = -5*t**4 + 8*t**3 + 1596*t + 2. Let a(i) = 2*u(i) + 3*z(i). What is the second derivative of a(o) wrt o?\nAnswer: -84*o**2 + 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 67*z - 68*z + 3 = 0, -2*g + 4*z = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-5) + 4\/(-20). Let l = 4 + m. What is the common denominator of 12\/l*10\/(-35) and 56\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4763164 divided by 14?\nAnswer: 340226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 11*r**2 - 87*r**3 - 6*r + 86*r**3 - 7*r - 16. Let j be k(14). What is the nearest to 0.1 in 2, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 932 - 610. List the prime factors of h.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d00db (base 14) to base 12.\nAnswer: 1737069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/1226 + 43505\/7356. Find the common denominator of -13\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.9901 take away 37.92?\nAnswer: -125.9101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 8. Let l(d) = -1. Let b(j) = -l(j) - r(j). What is the first derivative of b(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 10. Let q be h(3). What is the third derivative of -q*v**2 + 10*v**3 + 28 + 29 - 57 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 16\/3)*(-71)\/1065\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200989121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 - 206. Suppose 4*s = 0, -d + 7 + 7 = -j*s. What is the highest common factor of d and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1 - 11) + 15 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(11\/4)*h*h)**(-3\/14) assuming h is positive.\nAnswer: h**(-3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 7*z + z - 6*z. Let h(d) = d + 51. Give h(j(c)).\nAnswer: -c + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let w(v) be the first derivative of -v**2\/2 - 19*v - 34. What is y(w(g))?\nAnswer: g**2 + 38*g + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(99\/18)*(-2)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/6 (c) -2\/11 (d) -8 (e) 11 (f) -14 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-25 - -8) - (-70 - -83).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -55*c**2. Let r(s) = -165*s**2. What is 8*b(t) - 3*r(t)?\nAnswer: 55*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 304 = 8*n. Let d = -59 - n. Is d at least as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 + q**2 - 3*q - 6. Let s(p) = -5*p**3 + 2*p + 8. Suppose 5*g + 10 = 0, 6 = 4*l - 0*l + 3*g. Let a(t) = l*s(t) + 4*r(t). Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + 4\/(-2). Let q = 6 + c. What is the second derivative of 4 + 2*g**3 - q*g - 4 wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:21 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*8\/(-2). Suppose s*i + 3 = 5*i, 0 = -3*l + 3*i + 24. What is the remainder when (12\/7)\/((-7)\/(-98)) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1319 - 1317. Let b(w) = -4*w - 2 + 0*w - 2*w. Determine b(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 25908?\nAnswer: 51816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 153*k = 1044 + 25, 2*r + 5*k = 24 + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8938 + -8939. Let l = 0.3 + 0.7. Put -9, l, h, 5 in ascending order.\nAnswer: -9, h, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*z + 396, -2*s + 7*s - 402 = z. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73 - -64)*1*-1. Calculate the remainder when 94 is divided by b - 14*(-8)\/16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.67 and -0.1583593628.\nAnswer: 10.5116406372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 8. Let b be p(-11). Suppose b*v - 5 = 4. Find the first derivative of 1 - 3*f - 6*f**2 + v*f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1)*t)\/t*t**3*t**(-6)\/(t*t**(-2\/23)*t))**11 assuming t is positive.\nAnswer: t**(-990\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 204510?\nAnswer: 409020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*y + 59, -p + 2*y + 16 = -15. Solve -10*u + 6*u - 3*t = p, -3 = -u + 2*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.160294 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373440 is divided by 123390.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f + 3. Let y be p(-3). Let i = -13 + y. Solve z + z = -i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x**3\/3 + 3*x**2 - 6*x - 57. Let b be q(-5). Solve 5*f = n - b, n = -f - f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*w = 56*w - 3976 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34824880 by 40.\nAnswer: 870622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1. Let s = 325 + -329. Let z(c) = -2*c**2 - 4 + 2 + 4*c**2 + c. Let m(i) = s*z(i) + 4*n(i). Let r(o) = o**2 + o - 1. Give m(j) + 4*r(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**(-2\/51) assuming h is positive.\nAnswer: h**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04989 and 0.5.\nAnswer: 0.024945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) - 3647\/14812. Let y = -8862670795\/1058 - -8376821. Let p = h - y. What is the common denominator of -87\/8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 97*n. Let a(o) = 6*o. Calculate b(a(v)).\nAnswer: 36*v**2 + 582*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let r(v) = -2 + 3 - p*v**2 - 2 + 2*v. What is r(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (9 - ((-83 - -97) + (-12 - -2))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 845*k = 7407 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*c, 0 = 3*c - d - d - 4. Suppose -2*g - 5*a - 27 = -c, -10 = 2*a. Suppose 6 - g = r. Solve -r*y = 13 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7161*u - 443991. Determine a(62).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:20 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.1 (c) -7\/6 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - 12*-2)\/1)\/(-159 + 160).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*z - 2*z - 5, -z + 6 = 4*v. Suppose -z = -l - 0*l. Sort l, -1, -4, 3 in increasing order.\nAnswer: -4, -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 257237 = 8*x + 344461. List the prime factors of x.\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 87052770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0, -2\/3, 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Let p be w\/10 + 48\/20. Let h(i) = i + 2 - i + p*i. Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*(sqrt(49) - ((sqrt(49) - (sqrt(441) + sqrt(49))) + sqrt(49))) + sqrt(49))*-5)\/((-1*sqrt(98)\/sqrt(7))\/sqrt(2)).\nAnswer: 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by 1767.\nAnswer: -47\/1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3496\/(-46))\/((-2)\/(-18) - 0). Does 39 divide (2 - (g - -6)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 938?\nAnswer: 6566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 4:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 2845053*f - 36985858.\nAnswer: (f - 2845066)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 304 + -3343\/11. Which is the smallest value? (a) 0 (b) l (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*w - 283*h**4 + 8*h**3*w + 7*h**2*w + 730*h**2 wrt h?\nAnswer: -24*h*w - 6792*h + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/21 + -4*638\/87\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1, 0 = 2*o - 5*b - 2 + 1. What is the derivative of -21 - o*c + c + 10 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502 - -502.33. Which is the smallest value? (a) l (b) 0.4 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5896\/20 + (1 - (-8)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30580 is divided by 7636.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from pbbpssbrbxppbbsxxsqb?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + w - 5*w + w to the form c + l*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + (-48)\/9)*1\/(-8). Which is the closest to k? (a) 1 (b) 2\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i + 2*c - 43 + 21 = -3*i, 0 = 10*c for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 12:34 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 34593. Let n(u) = 83*u - 1. Let q be n(4). Let g = q - v. What is g rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6) - (-881)\/(-3). Is -295 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -3*k, -3*k - 8*l + 11 = -6*l. Solve 4*g + 4*h - 28 = 0, -2*g = -k*h - 7 + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403344 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2835259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -39?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4133*y - 1. Let c(q) = -827*q. What is -11*c(v) + 2*f(v)?\nAnswer: 831*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(110) + sqrt(110))\/(sqrt(80)\/sqrt(288)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443141 (base 5) to base 6.\nAnswer: 1000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14905*t**2*u + 2*t**2 + 7617*t + 6 wrt u?\nAnswer: -14905*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-3)*944\/32 and -35\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(48\/(-90))\/((-14)\/(-35)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025 divided by -161?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086 (base 13) in base 12?\nAnswer: a29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 11. Let v = 0.4 + 0. What is the nearest to m in v, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 752, 4217, 9992, 18077?\n\"Answer: 1155*v**2 - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(2\/18). Let n be (-4)\/(-18) + (-25)\/q. Suppose -4*b - 30 = -3*o + 53, -2*b = 10. What is the greatest common divisor of n and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 8 = 0. Let i(b) = b**3 + 4*b**2 - 2*b - 8. Let w be i(-4). Suppose -d*v - 2 + 18 = w. Is v less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-27) + 4\/(-18). Let a be (-1)\/(l*(-1)\/1). Let z = 2 + -3. Is z less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + 116*g + 8. Let y(t) = 13*t**2 + 232*t + 18. Give 9*u(l) - 4*y(l).\nAnswer: 2*l**2 + 116*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-14)\/(z\/z**(8\/9)*z*z*z\/(z*z**(-16))))**(-5\/3) assuming z is positive.\nAnswer: z**(2075\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402553*h**5 - 53*h**2 + 1368*h?\nAnswer: 24153180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6167770 and -31\/6758486?\nAnswer: 2399262530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 3*c - 6. Let h(v) be the first derivative of v**2\/2 - v + 4743. Give -3*h(z) + u(z).\nAnswer: -4*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/24 + (-11774)\/(-10). Let o = 1175 - x. Find the common denominator of o and 7\/7 - ((-35)\/(-18))\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 - 69024165*f**2 - 405838979?\nAnswer: -6*f**2 - 138048330*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 27 = -3*h, -3*h = -h - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*b + 4*b. Let s = 7 - b. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 51. Is 10 a factor of i(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -859 + 863. What is the second derivative of -531*l + 180*l**5 - c*l**3 + 4*l**3 + 1063*l - 534*l - 61 wrt l?\nAnswer: 3600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2580*w**5 + 5131*w**2 - 10.\nAnswer: -154800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 5, 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*o - 155*o + 341*o - 1)*(2*o**3 - 4*o**3 + 0*o**3).\nAnswer: -874*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-4)\/((-1452)\/1)). Suppose -v + 12*v - s = 0. Calculate the highest common factor of 110 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 2 d when four letters picked without replacement from zdzzdzft?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) 2 (c) -5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562 + -565.51. Let z = 1.49 - g. Let x be (-6)\/9*(-3)\/(-13). What is the closest to x in 0.3, z, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(130))\/(-3*sqrt(1210)))**2.\nAnswer: 52\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/369 in 4, -0.06, 188\/23?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 + 1)*0)\/(-2). Suppose j - 5*y - 41 = k, -2*j - 3*y = -6*y - 47. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n - n**4 + (-2*n - 2*n + 5*n)*(-2*n**3 + 6*n**3 - n**3 - 17).\nAnswer: 2*n**4 - 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9207)\/5412 + (-84)\/(-48) - (-2136)\/(-82).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3653964 and 39717.\nAnswer: 3653964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 108810 to the nearest one thousand.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*i + 2*i - 29929, 5*i = -3*c + 89781. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*m + 20 = -i, 2*i + 20 = -4*m. Suppose -z + 3 + 1 = i. Find d such that 1 + 6*d**2 - 5*d**2 - 3*d**4 - 3*d**2 + 4*d**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + q. Let z be r(-1). Let g be (-8)\/(-3)*(-3)\/z. Suppose 3*y + f = 154, -4*f + 139 = g*y + y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (268*(-462)\/(-40859280))\/((-3)\/((-90)\/4))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -267421.2 to the nearest one hundred.\nAnswer: -267400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/15 - (-1376)\/6. Let h = b - 134. Suppose h = 2*j + j. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -673*o + 976. Let n be f(1). Solve -n*m = -309*m + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*r = -20, 0 = -18*r + 110 + 142 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 2, r: 3, z: 2, j: 3, t: 4}. What is prob of sequence jqjr?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gml when three letters picked without replacement from {m: 2, g: 1, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50120*h**4 + 10*h**3 + 2*h - 133502366.\nAnswer: 200480*h**3 + 30*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238018 and 12.\nAnswer: 1428108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2.25839831?\nAnswer: 0.903359324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1058*z**6\/15 - z**5\/20 - z**4\/12 - 19*z**3\/6 + 9*z**2 + 34*z - 2. What is the third derivative of p(c) wrt c?\nAnswer: -50784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8817 is divided by ((-2)\/30)\/(5\/(-1335)) - 7\/(-35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m + 6. Let r = 8 + m. Suppose -3*s = r*c - 48, 4*c - c - 9 = 0. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28298 at least as big as 28205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 1442*v - 53. Give z(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*n + 736*n**2 + 139*n + 83*n - 71*n + 23*n wrt n.\nAnswer: 1472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13086 - 130743\/10. Find the common denominator of l and -83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 877 - 470. What is the greatest common divisor of 74 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (7 + (6 - 6))*(-1)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -20, 3*s + 13 = 4*y - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91790231\/344 - -266833. Let q = g + -24\/43. Which is the closest to 0? (a) 2\/17 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8*a + 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 17) + -39 - 28\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1104607\/1472820 + 2\/368205. Factor -i*n**3 + 0*n + 1\/4*n**5 + 0*n**4 + 0 - 1\/2*n**2.\nAnswer: n**2*(n - 2)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 155\/(-225) - 28\/(-35). Which is bigger: l or -0.18?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 3 = 0. Sort 2, x, 1, 5.\nAnswer: 1, 2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {p: 3, r: 1, z: 11}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 8*o**2 - 4*o**2 + 8*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, r: 2, p: 1}. Give prob of picking 1 p and 1 n.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-1 + sqrt(13))) + sqrt(13) + 4 - ((sqrt(26)\/sqrt(2))**2 + 3) - ((1*-2*sqrt(117) - sqrt(117))\/sqrt(9))**2)*3.\nAnswer: -384 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, p: 1, r: 1, j: 1, c: 1}. Give prob of picking 1 r, 1 p, and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -64*f**3 + 6*f**2 + 10*f + 29. Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 2. Let i(w) = -2*w - 2692. Give s(i(q)).\nAnswer: 8*q + 10770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -78b7b7?\nAnswer: -78b7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:08 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1168, 5, -5.\nAnswer: -1168, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 476.4 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4192 + -2265. What are the prime factors of u?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and 1789987731?\nAnswer: 1789987748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -14, -18, -24, -32, -42, -54?\n\"Answer: -i**2 + i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12960.26 centuries to months.\nAnswer: 15552312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Let v(p) = 5 + 4*p**2 + k*p - 3*p**2 + 3*p. Let j(w) = w**2 - 7*w + 6. Let i be j(5). What is v(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and 69.84.\nAnswer: -9.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3, -0.16, -3 in increasing order.\nAnswer: -3, -0.16, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -48\/7 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 48, 49, 64, 99?\n\"Answer: u**3 - 2*u**2 - 8*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 794500277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.757492241 rounded to 2 decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 10 - 3*k + 4*k - 26 to l*k + h and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*n**2 + 8*n**3 + 140*n**2 + 6*n**3)*((0 + 2 + 0)*(n**2 + 0*n**2 - 3*n**2) + n**2 + 3*n**2 - 5*n**2).\nAnswer: -70*n**5 - 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 823476013.7 to the nearest 1000000.\nAnswer: 823000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-1 - ((-6 - -2) + -2))) + 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/9 + 26*d**2\/9 + 110*d\/9 + 50\/3 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7.4. Let t = 0.69 + 0.11. Let g = t + b. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288376 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15263515 - -2?\nAnswer: 15263517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/783 and -3 - -14 - 57264\/5220.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18786*j*p**2 - j*p + 149*j - 3*p - 2 wrt p?\nAnswer: -37572*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 283974.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -36540\nAnswer: 1096.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 4*v**2 - 2*v**2)*((3*v**2 - 4*v**2 + 2*v**2)*(-2 + v + 2) + 7 - 5*v**3 - 7 - 149 + 149 + 21*v**3).\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-49.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*i = 12958 + 1368 - 2410 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 54940. Let c(v) = 7*v. Determine m(c(x)).\nAnswer: -49*x**2 + 54940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 15 + 12*c - 1\/6*c**3 - 1\/3*c**4 - 1\/20*c**5 + 3*c**2. Let g(a) be the first derivative of o(a). Factor g(u).\nAnswer: -(u - 1)*(u + 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004533 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-624 - 1)\/(3\/192). Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + h = 75, 2*h = d - h - 35. Suppose -96 = -2*x - 2*x. Suppose 0 = -4*z + 4*p + x - 4, 0 = -5*p - 10. Solve -3*l = -9, -m - 4*l + d = z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + -16ea?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1644411, -6577882, -14800333, -26311764, -41112175?\n\"Answer: -1644490*j**2 - j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) 0 (d) 8 (e) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 13*t**2 + 21*t + 16. Let l be n(-7). Suppose -5*h - 263 = 52. Let w = l + h. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12245*n + 3*w = 12243*n + 70, 0 = -n + 17*w - 409 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35045, -36341, -37637, -38933?\nAnswer: -40229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.359441121\nAnswer: 0.718882242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1071 = 21*i + 111. Let f(l) = 14*l**2 + 6*l + 4. Let a be f(6). Calculate the highest common divisor of a and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2313887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532329.09 rounded to the nearest 100?\nAnswer: 1532300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.34014 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56969 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3561 by 364390.\nAnswer: 3561\/364390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12*b**3 - 1 - 1)*(2 - 3 - 1).\nAnswer: 24*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 + -4 - 1)) + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**3 - 1834*m**2 + 1327*m + 154. What is a(166)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 - 222. Let v(z) = 21*z - 99. What is the hundreds digit of v(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*d + 18, 287500*k - 287503*k = 4*d + 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5 + (-66836481)\/176960. Let w = d + 107\/5056. Let f = w - -378. Calculate the common denominator of -17\/16 and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 31 = -3*p, 0*p + 1 = 4*g + 3*p. Suppose 5*w + g*m - m - 39 = 0, 3*w = -2*m + 23. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 117, -1, 7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -16*k**2 + k + 6. What is n(3)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2\/5 - 528*w\/5 - 23232\/5 = 0. Calculate w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 5544 = 5*a. Let p = 772 - a. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-15)*195\/(-52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x - 1080. Let d(c) = 4*c + 2. Let l(z) = -3*z - 2. Let s(r) = -5*d(r) - 6*l(r). What is 5*g(w) - s(w)?\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/2310)\/((-48)\/27*(-3)\/36)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 208 = 4*r, -3*r + 7*r - g = 220. Suppose 0 = -4*b - f + 93, 6*b - r = 3*b + 2*f. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 - (3 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*y - 0*k - 197, 3*y = 5*k + 187. Calculate the remainder when 767 is divided by y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/p**(-1\/6))\/(p\/p**2))\/(p**(-2))**(-36))**(-28))**(-5) assuming p is positive.\nAnswer: p**(-28910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 9. Suppose 0 = -31*s - 45 + 138. Let l(q) = -q + 3. Let k be l(3). Solve k = 3*x + a - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(338\/3)*732\/(-14). Let g = n - 6\/169. Let m = 0.01 - 1.01. Sort 5, g, m in descending order.\nAnswer: 5, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32595693 by -4.\nAnswer: -32595693\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 4 = 35*m, t = 2*m + 44511. List the prime factors of t.\nAnswer: 191, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50227.\nAnswer: 50227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 15. Let l be 36\/8 + j\/(-4). Suppose 0 = w - 1 - l. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 829 = 741 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 288, 294, 314, 354, 420, 518?\n\"Answer: x**3 + x**2 - 4*x + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bgbbbbb?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 10. Let a be l\/27 - 14\/12. Do -1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*o = 103 - 408 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:09 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145552934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/19)*v*v**(-13)\/v)**(-2\/9))**(-40) assuming v is positive.\nAnswer: v**(-19520\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from syyyyyyssyss.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5314 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07766952 rounded to three decimal places?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2*1\/6. Let u = -21.3 - -21. What is the second smallest value in u, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 749 - 749.3. Which is the fourth biggest value? (a) f (b) 1\/3 (c) 0.1 (d) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/12)\/((-1)\/(-156)). Suppose -g = 4*g - r. Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + -16 + 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 39. Let f be a(12). Let z = 0 - 0. Let n = -0.1 + z. Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8230428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 3011, 4517, 6023?\nAnswer: 7529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * -25.\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 + 2*i**2 + 4*i + 3. Let r(v) = -20*v**3 + 5*v**2 + 12*v + 9. Let c(o) = -8*q(o) + 3*r(o). Is c(-3) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.4 + -65.6. Let o = 83.3 + z. Suppose 0 = p - 3*p - 8, 3*k + 4*p + 25 = 0. Which is the closest to 1\/3? (a) 0 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*y - y + y)*(-5*y - 7*y + 9*y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = b + 4*b - x, -2*b = -1025*x + 1029*x - 42 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z - 6. Let i be m(7). Let b = i + -40. Let d = -8 + b. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/7)\/(32\/(-112))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1397075 divided by 279415\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = p + 2*p. Let x = 59 - p. Let w be ((-20)\/(-8))\/(15\/18). Calculate the greatest common divisor of w and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2. Let x(w) = 10*w**2 - 2*w + 14*w**2 + 14*w**2 + 18*w**2 - 65*w**2 - 8*w**3. Calculate 6*o(s) + x(s).\nAnswer: -2*s**3 - 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 7*z**2 - z - 1. Let n be r(7). Let p be (1 - -3) + 14 + n. Let i(w) = 2*w**2 + 11. Is i(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)\/n**8*(n**(-1))**(-6\/17) assuming n is positive.\nAnswer: n**(-503\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 32, 0.2, -2, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -225. Calculate the remainder when x is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -100. Suppose -76 = 269*s - 273*s. Calculate the remainder when l is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 0*j + 5*j + 3 - 3 + 2*j + (j + 3*j - 3*j)*(-4 + 2 + 4).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 5063400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 12) to base 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(612)*2*-4 - 6*(sqrt(612) + -1)))*2*-2 + 3)**2 + 5.\nAnswer: -6048*sqrt(17) + 1919318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39156301 times -17?\nAnswer: 665657117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419332 is divided by 332.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5677*f - 9462. What is the units digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3770594 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - j + 2*j - 2*j)*(-46 - 119 + 75) as w*j + n and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6155 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4\/5 - 24*d**3\/5 + 48*d**2\/5 + 56*d - 60 = 0. Calculate d.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 2. Which is smaller: l or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.1 - -24. Let n = -2.49 - -1.49. Is n not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-three quarters of a micrometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, -231 in decreasing order.\nAnswer: -1, -2, -4, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.467257 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 154 = o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 29*b - 61. Let d(h) = 7*h - 15. Determine 9*d(u) - 2*x(u).\nAnswer: 5*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -782868180 and -10.6631?\nAnswer: 782868169.3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207779363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Collect the terms in -167*g + 1327745265 - 1327745265.\nAnswer: -167*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.62 and -0.2.\nAnswer: 1.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-9) + 10\/(-45). Suppose -5*f + 303 = -d, 0*f = r*f - 3*d - 129. Suppose 0 = i + 4*l - f, -17 - 47 = -i - 5*l. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**4 - 5*l**3 - 4. Let w(h) = -2*h**3 - h**2 - 1. Let n(t) = o(t) - 4*w(t). Factor n(p).\nAnswer: -p**2*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 6. Let d = 10377 - 10370. Calculate the highest common factor of d and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 7*p + 63. Suppose -w + 43 = 3*s + 6, 4*s + 5*w = 53. Let f be v(s). Solve 2*i + 8 = t, 0 = i - t + f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 692021*w**2. Let k(u) = -2*u**2. Calculate x(k(a)).\nAnswer: 2768084*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3360, 2, 71 in decreasing order.\nAnswer: 3360, 71, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.896 + 9.696. What is the nearest to 0 in 3\/2, 11, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18908*d - 152375. What is o(-8)?\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4798635 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - 36\/15 - (214 + -231). What is the greatest common divisor of t and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1969.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, s: 5, w: 1}. Give prob of picking 1 w and 3 q.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 - 3*a + 3. Let n(t) = -t + 1. Calculate -2*i(d) + 6*n(d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263249037 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 319646, 639285, 958920, 1278551, 1598178, 1917801, 2237420?\n\"Answer: -2*m**2 + 319645*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1360\/102*18*2\/96.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 177.7 and -5?\nAnswer: -888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 13740 = -2*t, 10*t = 12*t - 8*l - 13812. List the prime factors of t.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893763467?\nAnswer: 11, 6263, 56519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 2*u + u)*(u - 2*u**2 - u) + 4*u**3 - u**3 - 2*u**3)*(1 - 1 + 11).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1215760 - 426760. What is k rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -36*x - 6. What is the remainder when k(-2) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*p - 98. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -0.07, -52268\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 2*y + 38*q = 40*q + 86, -52*y + 3*q - 2016 = 0 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/3 - 95014*j**2\/3 + 1128219952*j\/3 + 5643475360\/3 = 0. What is j?\nAnswer: -5, 23756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:00 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -20 (c) 5 (d) 3 (e) 1 (f) 80\/13 (g) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/4 + k**3\/3 + 3*k**2\/2 + k - 2. Give u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 420555*q**5 + 4170038*q**4 + 10159458*q**3 - 880768*q**2 + 17595*q + 50 = 0.\nAnswer: -5, -2\/795, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 57 + 171 = -302 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 10. Let p be -1 - (-1 - l\/(-3)). Let n(q) = -p*q - q + 4*q + 0*q. Let d(a) = a**2. Determine d(n(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 50*f**2 + 7*f + 1. Give j(3).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -27, 4, -233?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3556 + -3374. Let a(r) = 4*r**2 - 3. Let t(x) = 119*x**2 - 91. What is o*a(l) - 6*t(l)?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 3 + (4 - (4 - -2)). Let t be (-4)\/(4\/(-19))*a - 2. Let q be (-34)\/(-119) + (-607)\/(-7) + -2. Calculate the greatest common factor of q and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 88267.\nAnswer: 29\/88267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 - -684. What is the greatest common divisor of 913 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.8 - 37.1565. What is m rounded to two decimal places?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a**3 + 5*a**2 + 5*a - 5. Let h(p) = 21*p**3 - 8*p**2 - 8*p + 7. Let u(x) = 5*h(x) + 8*q(x). Find the first derivative of u(d) wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 - 3*r - 1. Let y = -7 - -5. Let p be l(y). What is the remainder when ((-39)\/(-1) - 2)*p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:27 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1655 and -23963.\nAnswer: 39658765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (175\/(-21))\/(1\/(-3)). Let p = 49 - z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -333*y**4\/4 + y**3\/3 + 14. What are the prime factors of r(-1)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 35. Suppose h*f = 2*f + 25. Factor 0 - 2*s**2 + 25\/4*s**f + 11*s**3 + 0*s - 35\/2*s**4.\nAnswer: s**2*(s - 2)*(5*s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 2:38 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7399532, 7399533, 7399534, 7399535, 7399536?\nAnswer: 7399537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*q = -1295. What is the remainder when q is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1678*i + 1696*i - 2556 = 0. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 19 - ((-1 - 1) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7170555 and 378.\nAnswer: 129069990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -20. Let m be 1036\/20 + (-2)\/v. Let c = -42 + m. What is the remainder when 39 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2037*a - 1 - 6 + 2.\nAnswer: -2037*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29658402?\nAnswer: 2, 3, 1647689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(51)\/sqrt(3)*3)**2 + (4 + -1*sqrt(612))**2 + -4.\nAnswer: -48*sqrt(17) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-2))\/(12\/(-16)). What is the third derivative of 11*l**4 - u*l**4 + l**2 + 4*l**2 wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1877870 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + s - 4. Let z(h) = 10*h**2 + 58*h - 162. Let i(r) = 6*x(r) - z(r). Find l such that i(l) = 0.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*p + 8 + 16 = 575*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1231 - -2490. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u = -104*u - 3*m - 1, -4*u - 2*m = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2)\/(-1 + 0). Let l(t) be the second derivative of g*t**2 - 2*t + 0 - 1\/6*t**3 - 1\/12*t**4. Find the second derivative of l(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhshbbh. What is prob of sequence sb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9717735, 19435468, 29153201, 38870934, 48588667, 58306400?\n\"Answer: 9717733*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822259.161101 take away 23?\nAnswer: -3822282.161101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/(1078\/1287 + 176\/(-198))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/4 - 32*o - 1092 = 0.\nAnswer: -28, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {c: 2, w: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8245 from -29914838.\nAnswer: -29906593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125160 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2\/3 - 25514*c\/3 + 10204\/3.\nAnswer: 2*(c - 2551)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8804 = 188*j + 9368 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from gggpggpg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 215*s - 29. Let i be g(-3). Let o = i - -1061. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490924\/79 or 6213?\nAnswer: 6213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1277*j**6\/10 + 1561*j**2 - 1207*j. What is the first derivative of x(u) wrt u?\nAnswer: -15324*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 15*m - 4. Suppose z - 17 = -4*g - 15, 0 = -5*z - 3*g + 27. What is y(z)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:13 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + f7?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -13 - (-5 - (0 - 22))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/2 + 9*i**2\/2 - 6*i. Let c be q(4). Let a be c\/6 - (-28)\/24. Which is smaller: a or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 183. Suppose -l + 0 = 4. Let r be l - 9\/(-3 - h). Put -3, r, 2 in decreasing order.\nAnswer: 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 28. Give z(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 <= 11053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -628756*z**5 - z**3 - 8125041*z?\nAnswer: -12575120*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3\/15 + 309902*f**2\/3 + 20008435250*f + 100039593750 = 0.\nAnswer: -387375, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 10 + 16)*(d - 3*d + 4*d)*(5 + d - 5) to the form f*d**2 + i + a*d and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 3}. Give prob of picking 3 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.1 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42997, -86097, -129197, -172297, -215397, -258497?\nAnswer: -301597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-170) + 50\/136. What is the closest to t in -3, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*2 + sqrt(1053) + sqrt(1053))**2 + -4.\nAnswer: 16844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*f = -70*f - 1850 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phpp when four letters picked without replacement from ppphppppphpp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (36 - 52 - (0 + -12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 3*g - 24, 4*g + 1086 - 1065 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365074*z + 365186*z + 2352 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -877698 + 438955 - 5*o**3 + 438743.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 - 57*x + 34. Let y be d(-10). Let f(m) be the first derivative of 6*m**3 + 24*m + 18*m**2 + 15 + 3\/4*m**y. Determine c so that f(c) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + -2 - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1266044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 - 9*z + 5. Let x be v(5). Let n = x + -4. Find the first derivative of 11*i**2 + 16*i**2 - 4 + 15 + n wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5849156 years in months?\nAnswer: 7.0189872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 3. Suppose 152 = 15*b - 373. What is the greatest common factor of v and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**2 + 9193186*y - 133257280.\nAnswer: -2*y + 9193186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 8. Let r(a) = 12*a - 17. Let m(u) = 5*b(u) + 3*r(u). Let g(h) = -1. Determine 4*g(c) - m(c).\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 3175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**3 - 46*g**3 + 178*g**3 - 45*g**3 - 43*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(7\/8) + 1. Let z = 6 - 1. What is the nearest to 2\/7 in g, z, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -183, -715, -1601, -2841, -4435, -6383?\n\"Answer: -177*i**2 - i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343 is divided by 462?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -1\/4 (c) -16\/9 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49467, -99118, -148945, -198948, -249127, -299482, -350013?\n\"Answer: -88*k**2 - 49387*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233093, 466217, 699373, 932561?\nAnswer: 1165781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10, m - 5*a = -4*m. Suppose g = -m*u, 0*u + 2*u + 22 = 4*g. Suppose g*o + 3*r = 4, -o - 3*r + 1 = 5. What is the closest to o in -5, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 + -6.7. Let g = -3.9 - 0.1. Which is the second smallest value? (a) 4 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f027 (base 16) in base 10?\nAnswer: 61479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6331 not equal to -6356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -7*t. Which is the closest to 14? (a) t (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 2, v: 1, s: 3}. What is prob of sequence dtv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/53 and 79\/32.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - 6*x + 12*x)*(2 - 3 - 2) + 3*x - 3*x - x + (-4 + 5 + 0)*(-5*x + 5*x - x) in the form f + d*x and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761458739 to the power of 1\/2, to the nearest integer?\nAnswer: 82228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67068 divided by 9?\nAnswer: 7452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(15*z - 12*z + 20*z) + (-4*z - 16*z + 4*z)*(-3 - 1 + 1) to the form j*z + s and give j.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 23*q - 3. Let g be k(2). Let a = g - -2. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, 0.8, 5, 109775\/6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y - 4. Let c be s(-5). Let i = c - -165. Suppose i = 5*o - 24. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -542 + -40?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 rounded to the nearest ten?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11112 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + m + 200 = 0, 4*m - 356 = -2*c - 3*c. Suppose 3*p = 20*p - c. Determine f so that 2\/7*f**p + 0 - 6\/7*f**3 + 2\/7*f**5 - 2\/7*f**2 + 4\/7*f = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62669310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -35*j - 5. Let n(u) = 33*u + 5. What is 7*n(d) + 6*p(d)?\nAnswer: 21*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19336\/1045 < 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {a: 1, l: 11, v: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q - 16. Calculate the remainder when v(-7) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4 and 36\/622331.\nAnswer: 2489324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 2\/3)*-12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 35*c = -880. Let a be (-4)\/8*444\/2. Is c < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1484\nAnswer: 9\/1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 15931*z**3\/4 - 15923*z**2\/4 = 0. Calculate z.\nAnswer: -15923\/8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5271*w + 205461 - 217663 = -251012 - 319916 for w.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25825*c**3 - 8*c**2 + 1407659*c wrt c?\nAnswer: -154950*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(45)*-3 - (3 + sqrt(180)))**2 + -1*-6*sqrt(20)\/(sqrt(4) + 3*sqrt(4)).\nAnswer: -45*sqrt(5)\/2 + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 27*n - 408. Calculate r(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(288) - ((-2*sqrt(288) - sqrt(288)) + sqrt(288)) - sqrt(288))*-2 + sqrt(36)\/(sqrt(8)\/sqrt(4)*-2))**2.\nAnswer: -396*sqrt(2) + 9833\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37070660 (base 8) in base 16?\nAnswer: -7c71b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.79 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 176. Determine y(15).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 59\/12*y**4 + 0 - 1\/60*y**6 + 0*y**5 + 10*y**2 + 124\/3*y**3 - y. Find the first derivative of o(n) wrt n.\nAnswer: -6*n**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 24799*w - 2*w**3 - 12340*w - 12393*w.\nAnswer: -2*w**3 + 66*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1872 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3505 and -2?\nAnswer: 4.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/3 of a day?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5835 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (222\/(-21) + 10)\/(2\/(-7)). Let g(z) = -8*z. Let r(j) = 9*j. Give v*r(a) + 3*g(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 603 - 1596 = 0. What are the prime factors of s?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77674.\nAnswer: 2, 71, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20254*p**2 - 60851*p**2 + 20249*p**2 + 20349*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 10. Let d(m) = 4*m - 31. Let q(w) = w**2 + 112*w + 531. Let n be q(-5). Determine n*d(k) - 14*o(k).\nAnswer: -2*k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxhhchxhrrxhrx. What is prob of picking 1 x and 1 h?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 38*u**2 - 19*u + 404. Is x(-29) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**3 + 3289230*n**2 - 540872749485*n - 25969470914160 = 0?\nAnswer: -48, 328947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10*4*1. Let l be -4*35\/30*(-3)\/s. Let g(q) = -q**2 + 17*q - 6. What is the units digit of g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -110101110110110?\nAnswer: -110101110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 37. Let z = -24 + d. Let f = z - 12. Put f, 0.9, 0.3, -1\/5 in ascending order.\nAnswer: -1\/5, 0.3, 0.9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -31*v - 784. Let z = 115 - v. Let r be ((-98)\/(-6) - 3)*z\/2. Solve 2*y - 2*o = 2*o + 8, 5*y - r = 2*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/10 (b) 3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2. Let y(j) = -11*j. Give y(l(o)).\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34974 and -0.13?\nAnswer: 34974.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*u - 992 - 313*u - 284*u + 911*u + (4*u + 0*u - 2*u)*(-2 + 1 + 3) - u - 3 + 3 + 5*u - 5*u - u as q + h*u and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092624 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 22180\/43967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 6. Suppose -a*h + 49 = -2*n + 3*n, 4*h = 5*n - 207. Suppose -3*y = -0*y - 4*w - 149, y - n = 3*w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1115 - 1653. Let f = c - -560. Solve 4*w + 7*w = f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 541\/724 - -1\/362. Let m be 8\/(-36) + (-6051)\/(-135). Let d = m - 45. What is the smallest value in u, d, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*f - 0*f - 20, 3*r = -4*f + 26. Suppose r + 12 = y. What is the highest common divisor of y and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 15 + 4636\/(-44). Which is bigger: c or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.51029l in millilitres?\nAnswer: 68510.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 + 6. Let d be r(-6). Suppose -2*a + 5*a - d = 0. Factor 3*h + h**a + 1 - 3*h + 2*h.\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -15 (c) -1\/1056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllzhkzzzlz. What is prob of sequence lzk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) - 1490\/(-420). Determine x, given that -4\/7 + k*x**3 + 2\/7*x - 4*x**5 + 38\/7*x**2 - 34\/7*x**4 = 0.\nAnswer: -1, -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -w + 5*c + 178, -2*w + c + 351 = 0. Suppose 0 = 5*p - 46 - 79. What is the greatest common factor of w and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(4\/(-18)) + 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 + z + 2. Let v be f(-1). Suppose -325 = 4*k - 5*k - 3*r, -3*k - r + 1015 = v. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0 + 6. Suppose -4*p = -v*p. Let i = 1\/2 - 0. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/35292132 and 155\/156.\nAnswer: 458797716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 439, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + c = 2, -c = -5*z - 6. Let w be (3 + 0)\/(21\/49). Let m = w - z. Solve g - m = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -104?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a30a (base 14) to base 16\nAnswer: 6d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1578 + -1562. Is g at least as big as 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Suppose q*j = 5*v - 60, 2*v - 8 = -3*j + j. Suppose 0 = -2*r - 3*m + v, -2*m + 13 = r - 5*m. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296 divided by -6.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 18613474\nAnswer: 7\/9306737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18946, -75731, -170364, -302839, -473150, -681291, -927256?\n\"Answer: x**3 - 18930*x**2 - 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 0*p + p + 4*p - 4*p - 51*p - 485 + 485 + 0 + 0 + p + (-2 + 3 + 0)*(-1 + 1 + 2*p))*(3 - 1 - 1) - p + p - 2*p.\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zijjjjzzizijjjjzzzj. What is prob of picking 1 z and 1 i?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3760110 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let m be (-1)\/3*6\/(-16). Which is the nearest to w? (a) -2\/25 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 10*x + 1. What is the units digit of d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0 - 462134*t - 5 + 462109*t. Determine f(-4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**11*t)\/(t*t**(-5\/4)\/t)*t**(-10)*t**8\/t assuming t is positive.\nAnswer: t**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 3. Let d(t) = -t**3 + 2*t**2 + 10*t - 8. Let g be d(4). Suppose -5*a + 0*a + 550 = g. Let s = -107 + a. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/7 (b) -4\/7 (c) 0.4 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(r**4 - 2*r**4 + 0*r**4)*(-r + 246 - 20 + 20).\nAnswer: 2*r**5 - 492*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/20)\/(2\/(-5)). Suppose 6*s + 20 = -2*r + m*s, 4*s = 5*r - 6. Let t(w) = -w**3 - 2*w**2 - 3*w - 2. Calculate t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*-5*2*1*(sqrt(832)*-1 - sqrt(832))*-2.\nAnswer: 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6262 and 6464.\nAnswer: 200384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:43 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765020.35 rounded to the nearest one thousand?\nAnswer: 1765000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422.3 - -1003.7. Let j = -580 + y. Put j, 3, 1 in decreasing order.\nAnswer: 3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-2\/27))*a)\/(a*a*a\/(a*a\/a**(-4\/5))))\/(a*a**3*a**(3\/8)\/a))**29 assuming a is positive.\nAnswer: a**(-78329\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72775426 and 710.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1140\/171 - 10\/6. Suppose 0 = m + 4*m - 20, -q*a - 4*m + 76 = 0. Calculate the lowest common multiple of 2 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5 - -3) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by (-672 + 667)\/((-4)\/7 + 4\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1508368 = t, 10*t - 5*t = 20. Let x = -1344182 + r. What is x rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*p + 13 = 0, -9 - 9 = -4*y + p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c**10\/c)\/c)\/c*c)*c*c)**(-31)\/(c**(3\/10))**(-17\/5) assuming c is positive.\nAnswer: c**(7801\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/317? (a) 5 (b) -2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 + 3 + 2*r**3 - 4*r**2 + 2*r + 0 - r**3. Determine t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -16. Suppose 0 = -i*p + y + 11, -2*p - 3*y = -y + 6. Suppose l + 1 = 3. Solve -l*q + 6 = -p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369, -733, -1095, -1455, -1813?\n\"Answer: o**2 - 367*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 6304*b\/13.\nAnswer: -2*b*(b + 3152)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 19612*g + 78464 = 0. What is g?\nAnswer: -19616, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1431 - -982. Let y = d - -449. Do y and 15\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/12)\/(2\/36). Let m(v) = 21 - 21 - i*v**2. Let d(h) = 7*h**2. What is m(d(f))?\nAnswer: -294*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i + 5. Let q be z(-5). Suppose 5*v - 5*u = -20, u = -v - 0*u - q. Let o = -10 - v. Is -4 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 - -110 - (-1 + -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*m**2 + 875*m**2 - 255*m**2 - 385*m**2 - 9.\nAnswer: -20*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 10 + 2. Suppose 28 = 4*p - 2*z + 4, 0 = 3*p - z - 20. Solve 7 + p = t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/3, 90, -4 in descending order.\nAnswer: 90, 0.5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n. Suppose 6*j - 4*j - 10 = n. Let y = -87 + 103. What is the remainder when y is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 10640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 11*d + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103079797259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/3)))\/(c*((c**(-23)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -52. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**11)\/r**(2\/35))\/(r**(-2\/49)*r**9) assuming r is positive.\nAnswer: r**(731\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 823*s**3 + 228*s - 99 - 5478*s**3 + 3*s**2 + 129 - 30 wrt s.\nAnswer: -27930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1972\/68)\/145)\/(72\/10).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 617 divided by -6.\nAnswer: -617\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -509, -845, -1299, -1925, -2777?\nAnswer: -3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - ((-9)\/(-3))\/1. Suppose 5*t = 3*t + d. Suppose 3*l - 36 = -2*o - 0*o, 0 = l - 2. Calculate the greatest common factor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t + 1. Let p = 23 + -21. Let s(l) = -1 + 4*l**p - 3*l - l**3 + 5 - 3*l. What is -6*g(b) + s(b)?\nAnswer: -b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**4\/5 + 51*w**3\/5 - 63*w**2\/5 - 3*w\/5 + 21\/5 = 0.\nAnswer: -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.112 + -1.79. Let z = -0.022 + k. Let r = 0.5 - 0.47. Which is the second biggest value? (a) z (b) r (c) -1\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(10\/(-48)))\/(685\/6850*(-2)\/(-1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -5.5. Let g = 2 + -1.5. Let f = -34 - -38. What is the biggest value in g, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -25404.\nAnswer: 1\/876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 4*l - 3*g, 5*g + 44 = 2*l - 96. Suppose 110 = 3*d + d + 2*m, -m - l = -3*d. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-244)\/16470)\/(3\/(-15)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -40763?\nAnswer: 5\/40763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 + 49491*s + 593876\/3 = 0?\nAnswer: -148469, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -36*c**3 + 3*c**2 + 12*c. Let v(y) = -177*y**3 + 16*y**2 + 59*y. Let i(f) = -33*b(f) + 6*v(f). What is the third derivative of i(w) wrt w?\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*t - 47. Let i = -18 - t. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 32*a - 72. Let k be m(-7). Solve -p = 3*j - 1, 8*j - 5*j = -k*p - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e + -d4?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/20 - i**4\/3 - 11*i**3\/6 + 8*i**2. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:56 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.1 - 2.9. Let j = 21 + x. What is the smallest value in 2\/9, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-4 - -3)*4*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22055*o**2 + 16293*o wrt o.\nAnswer: 44110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 2*v - 3*h, 44*h + 351 = 4*v + 43*h. What is the closest to -0.2 in v, 1, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.3, 19221\/4, 3 in increasing order.\nAnswer: -17, -0.3, 3, 19221\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -41*r - 368. Let t be h(-9). Solve -7*z = -8*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r + r**3 - 8*r - r**2 + 0*r as o + i*r + p*r**3 + n*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052697 is divided by 210538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1.2 (b) -1 (c) 4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -190780000 to the nearest one million.\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2956245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 4*p + 107. Let d(q) = -q**2 - 12*q + 77. Let s be d(5). Let c be m(s). Let a = 126 - 27. Calculate the greatest common factor of a and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*k*w**3 - 100*w**3 wrt k.\nAnswer: 58*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -145.5. Sort g, -5\/6, -5, 3\/4 in descending order.\nAnswer: 3\/4, -5\/6, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16))**(-22) assuming t is positive.\nAnswer: t**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7101450 less than or equal to 7101450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6879 - 13324 + 7172)*(l**3 + 7*l**2 - 2*l**2 - 2*l**2) in the form n*l**2 + k*l + m + r*l**3 and give n.\nAnswer: 2181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1710, 1702, 1694, 1686?\n\"Answer: -8*v + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/8*8\/78. Suppose -3*r + 5*r = -8. What is the third smallest value in -2, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxxj when four letters picked without replacement from dxjdxqqqnqxqqddxq.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1585215 and 765?\nAnswer: 26948655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 7*g + 11. Let n be y(-5). Is 74844\/48 + 1\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-294)\/(-105))\/((-16)\/5). What is the closest to 1 in 7, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28523 - 7079*w**3 - 85608 + 7074*w**3 + 28562 + 28523.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -91*s**2 + 0 - 25\/6*s**4 - 1\/24*s**6 + 0*s - 40\/3*s**3 - 2\/3*s**5. Let b(n) = 0. What is n?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/3)))\/j)**(-28)*j**(2\/3)\/j**(4\/3) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Suppose o = k - 2 + 4. Let q(i) = -4*i - 2. What is the units digit of q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose -2*w - 6 = 4*u, u + w + 2 = -h*u. Let s be 2*u - (-2)\/(-4). Is s greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from mnmxdemmmpxnmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-6)\/(-9))*-6. What are the prime factors of (-680)\/(-18) + q\/(-63)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-3 + -1)) + 2. Suppose l*j + 2*i + 3*i = -30, 0 = 3*i - 3. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1030)\/385 - (0 + (-6)\/(-33)))\/((-3096)\/54180)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:36 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4925*h - 4923*h + 6 = 0, 2*t = 5*h + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/9 + 788*s**4\/9 - 8536*s**3 - 17424*s**2 = 0.\nAnswer: -2, 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2332*c**2*t**3 + 2*c**2*t + 2*c**2 - 53*t wrt t.\nAnswer: 13992*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*n = 22, 4*n - 22 = 2*x - 2. What is the remainder when x\/(2*(-3)\/30) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 789, 1745, 3053, 4695?\nAnswer: 6653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-8))\/((-3)\/(-990)). Let q(w) = -825 + w**2 + f + w. Let r(s) = 4*s**2 + 5*s - 2. Calculate 5*q(y) - r(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 q when four letters picked without replacement from {q: 11, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -531716263241 and 0.4.\nAnswer: -531716263240.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -x + 4*x - 4*j, 2*x + 5*j - 114 = 0. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17278)\/(-14670) - (-20)\/(-18)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275) + -1 + sqrt(275) + sqrt(275) - (sqrt(275) - sqrt(275)*-1)*-4) + 6*(-2*(sqrt(275) - sqrt(275)*1) + sqrt(275)))**2.\nAnswer: 79475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072462 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*o + 36 = 4*o, -5*v + 123 = -o. Solve -12*q + 0*q + v = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 41*z = 16*q - 24, 0 = -2*q - 4*z - 32 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h - 3*l - 6, 5*l + 44 = 4*h. Calculate the highest common factor of 438 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 2*y - 2*y - 2*y. Let t(f) = 10*f. Calculate t(c(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 0 in decreasing order.\nAnswer: 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 299*y**2. Let k(a) = 4*a**2 + 2. Calculate k(h(s)).\nAnswer: 357604*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102341946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3801*s - 3760*s = -1435 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -371\/2*i + 50*i**2 + 49 - 7\/2*i**3.\nAnswer: -(i - 7)**2*(7*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 131802600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 72521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*6\/(-28) - 50\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145543, -291070, -436595, -582118, -727639?\n\"Answer: i**2 - 145530*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*7.47.\nAnswer: -0.03735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5080 times -33901\nAnswer: 172217080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20171, 78335, 175269, 310967, 485423?\nAnswer: 698631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*-5 + ((sqrt(880) - (sqrt(880)*-5 + sqrt(880)) - sqrt(880)) + sqrt(880) - sqrt(880)))\/(-1*sqrt(20)\/(sqrt(16)\/(2*sqrt(4)))).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1401 + 809. Let t = -240 - u. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 9*u**2 + u + 8. What is s(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 + 4 = z, 5*z + 5*b = 0. Let o be (4 - z) + 44\/2. Suppose 3*d = 8*d - 80. What is the greatest common factor of o and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 975 = -3719. Let m be (-56)\/v + (-68)\/14. Let g(l) = l**2 + 7*l + 5. Give g(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 75 = -2*q. Suppose -r = -q + 21. Suppose 3*z - 5*k = -20, -12 = z - 3*z - 3*k. Solve 0 = -r*h - z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(1 + (-18)\/10). Suppose -5*o - 20 = 0, -d = 2*o - o - 7. Let i be ((-3)\/d)\/(2\/r). What is the second smallest value in -1, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = 4*v - 181. Let g(d) = -d**2 - 20*d - 51. Let s be g(-3). Suppose s*y - v = -6*y. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -300, -18 in decreasing order.\nAnswer: -5, -18, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670554518.\nAnswer: 2, 335277259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (608 - 614) + (39 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 + 2. Let a be y(6). Let b be (a + -3)\/((-1)\/4). Suppose -12 = b*d, -t + 0*d - 7 = 3*d. Which is bigger: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o + 12. Let t be q(0). What is the greatest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**10\/50400 + g**6\/720 + g**5\/20 + g**2. Let w(o) be the third derivative of j(o). What is the derivative of w(p) wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/17 + 104\/51. Is p smaller than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 37835 = 48*d. What are the prime factors of d?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let c(d) = 66*d**3. Let g be c(-1). Let w be ((-8)\/6)\/(4\/g). What is the greatest common divisor of w and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68.793 + 4.627. Let b = j - 74. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 10059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 - 9*g + 13. Let z be i(4). Let t = -41 - z. Let w be (0 - t\/3)\/((-2)\/(-15)). Solve 2*q + w*c - 20 = 0, c + 4*c - 25 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -7606024?\nAnswer: 15\/3803012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6131.16 less than -0.121?\nAnswer: 6131.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25343, -25433, -25573, -25763, -26003, -26293?\n\"Answer: -25*r**2 - 15*r - 25303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 + 2*k + 1. Let j be v(-3). Let z be j\/(-6) - (-15)\/9. What is the least common multiple of (2\/(-3))\/(z\/(-18)) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 37785*c - 1058008. Give u(28).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i - 68. Let y be s(-6). Suppose 0 = -5*o - y + 40. Solve o = 3*q + 4*r - 5, q + 3*r - 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 549, -6\/5 in descending order.\nAnswer: 549, 0, -0.2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5150576 to the nearest integer?\nAnswer: 2269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkg when four letters picked without replacement from kmkkmmmkmkmkmkgg?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24009 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {u: 2, w: 1, p: 2, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/55))\/s)\/((s**(-45)*s)\/s))\/(s**(-6)*s**(-6\/5)) assuming s is positive.\nAnswer: s**(2873\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-2 - (5 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/(-6) - 2)*(-26)\/(-715). What is the nearest to -2\/13 in 2\/11, 3\/2, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -500 - -94.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 917380073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59 and -128.48.\nAnswer: -187.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -310606?\nAnswer: -310601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zekkkke. What is prob of picking 2 k and 2 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -366?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 941\/14 (b) 0.58 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 129897.4 and 1?\nAnswer: 129897.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q + 49 = 0. Let s(a) = -a - 2. Let d be s(-9). What is the greatest common divisor of d and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 2. Let z(s) = -28*s + 3. What is -2*u(g) - z(g)?\nAnswer: 30*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-18)*(j*j**(-13)*j)\/j assuming j is positive.\nAnswer: j**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/9 - (-4)\/(-6). Let a(l) = -18*l - 3*l**2 + 9*l + 2*l**3 - 3 + h*l. Let p(u) = -6*u**3 + 8*u**2 - 8*u + 8. Calculate -8*a(y) - 3*p(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m\/((m\/(m\/m**(-1\/6))*m)\/m)))\/m*m*m**(-2\/17)*m\/(m*m**(-3))*m**(1\/5) assuming m is positive.\nAnswer: m**(1997\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26076 and 3657.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 15*v + 8. Calculate the lowest common multiple of l(16) and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648778 = 45*d - 179672. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19157984.\nAnswer: 2, 598687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45709220*n**5 + 53730384*n.\nAnswer: -914184400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279169 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s = -0*s + 16, 4 = -s. Suppose p + p = -4*m - 12, -2*p + c = 0. Let z = 13 + m. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17013*j**2 + 107*j + 107. Let r(g) = 321*g**2 + 2*g + 2. Determine -2*c(p) + 107*r(p).\nAnswer: 321*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -51a (base 14) in base 13?\nAnswer: -5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533289?\nAnswer: 3, 177763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3 - 8*l - 6*l**2 - 3*l**3 - 3*l**3 - 6. Let s be o(-3). Suppose -3*q + 143 = -2*i, -2*q - 33 = -2*i - s. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2083.37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(78)\/sqrt(6) - sqrt(13) - sqrt(13)) + -4 + sqrt(325) + 5)**2*-3.\nAnswer: -623 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4259 - -4337. Calculate the highest common divisor of y and 276.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 50*b - 31. Suppose -i - 11*u = -12*u + 26, -4*i - 102 = -3*u. Give h(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/13*v**3 - 10\/13*v**2 + 6\/13*v + 2\/13*v**4 = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -965, -1934, -2903, -3872, -4841, -5810?\n\"Answer: -969*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1192, -4, 9, 2, 12 in increasing order.\nAnswer: -1192, -4, 2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58665000 rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - d**2 + d - 2. Let y be r(1). Let o = -7 - -2. What is the second biggest value in o, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:29 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 37c (base 15) to base 2\nAnswer: 1100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 13\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-9)*(-2)\/4. Suppose 4*k + j = 5*k. Is k\/(1 - -2) + 22 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 25*v - 21. Let z be s(3). Suppose -26*t + z = -35*t. Let n(u) = -u**2 - u + 1. Determine n(t).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 - 13*v + 1. Let i be m(-9). Let r = i + -194. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, z: 7, h: 2, s: 1, n: 2, c: 4}. What is prob of sequence nzs?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhghgh. Give prob of sequence hghh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 26 + 466 = 0. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - 2) + 2 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.076, -1, -53, -0.08 in increasing order.\nAnswer: -53, -1, -0.08, 0.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3607 + 13883 + 534*r + 1306 + 3*r**2 + 4438 + 529 = 0. What is r?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 10. Let b = y - 17. Let c be 9\/(-6)*4\/b. Which is greater: c or -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580*467.\nAnswer: 270860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5046497*o*x - 8322*x + 148 wrt o.\nAnswer: -5046497*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -154*b**2 - 26450\/3 - 2\/3*b**3 - 8970*b = 0. Calculate b.\nAnswer: -115, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let y(a) = a**2 - 7*a + 8. Let o be y(4). Let p be (-2 + (-6)\/o)*(-2)\/(-5). What is the biggest value in n, 7, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggjjggjgjg. Give prob of picking 3 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220121000122 (base 3) to base 8.\nAnswer: -7733274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)\/p)**(-3\/5)\/((p**(-6\/19)\/p)\/(p*p**3)) assuming p is positive.\nAnswer: p**(904\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8*v = 17*v - 78 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*o + 231*o + 281*o + 279*o - 880*o.\nAnswer: 173*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1491575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28554140 or 28554139?\nAnswer: 28554140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-12) - 5\/2. Let s = -0.5 + 0.2. Which is the second biggest value? (a) t (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10880 divided by -1360.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69386814 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.6, 0.2, 5, -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 122*v + 58. Let q(s) = s - 28. Determine 2*q(y) + u(y).\nAnswer: 3*y**2 - 120*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*v + 0*v = -18, -5*l - 3 = -2*v. Let h = l + 20. Let k be h\/56*50\/6 - 3. Sort 3, k, 4, 0.3.\nAnswer: k, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = r - 5*g, -3*r + 4*g = 2*r + 1854. What is r rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130)*1 - sqrt(130) - sqrt(130)))*5*2*-1)\/(((sqrt(90) - (sqrt(90) - (sqrt(90)*3 - sqrt(90)))) + sqrt(90) + sqrt(90))\/sqrt(9)*4*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1066 and 5135988?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -69834 less than -69834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 - 10617\/41. Which is the closest to -1? (a) 0.3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + 9 + -7 - 20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**2 + 2*j - 2. Let z be q(-2). Let h = z + -13. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10*b = 70, -63*f - 65*f = -133*f + 5*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*v = v + 24, -140*v = -152 + 15 - 423 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35129.\nAnswer: 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:10 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-1 - 16 - -4) - -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 216. Let q be f(-43). Which is the nearest to -0.1? (a) -3 (b) q (c) -4 (d) 1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -787595 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20\/57, 3\/4, 2\/23 in ascending order.\nAnswer: 2\/23, 20\/57, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/7))**44\/((y*y**(-18))\/y*y**(-15\/7)) assuming y is positive.\nAnswer: y**(493\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*q**3 - 2 + 4 - 1 to the form k*q + a*q**3 + y*q**2 + m and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(24\/(-28)))\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1969, 3819, 5669, 7519, 9369?\n\"Answer: 1850*v + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 27*c + 119. Let u be h(22). Suppose 0 = u*w - 20 - 178. What is the smallest common multiple of w and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/120 + y**5\/15 - 3*y**4\/8 + 3*y**3\/2 + 160*y**2 - 3*y. Calculate r(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 457 = 443. Let z(b) = -8*b - 7. Let x(f) = 8*f + 6. Calculate u*x(p) + 6*z(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -760718, -760713, -760708, -760703?\n\"Answer: 5*m - 760723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u - 9. Let s be (u\/9)\/(2\/(-18)). Which is the nearest to s? (a) 4 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205335*y**3 - 8622900*y**2 + 147415*y\/3 - 70.\nAnswer: -5*(y + 42)*(351*y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5192682 and 9913302.\nAnswer: 109046322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s = 7*s - 276*s - 83*s + 25680 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193 and 8963113.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*j**4 - 4*j + 37\/2*j**2 - 2 - 17*j**3.\nAnswer: (j - 2)*(j - 1)**2*(9*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13289.\nAnswer: 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*g - 1 + 0 - 4 + 6.\nAnswer: 90*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -5. Suppose 10 = -10*x + 15*x. What is the remainder when ((-8)\/(-6))\/(n\/(-6)) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 1050?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10185856 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*j**3 - 567*j**3 + 279*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let t(s) = 123*s**2 + 2. Calculate t(u(w)).\nAnswer: 492*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 93222356?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/6)\/((-1548)\/(-1032))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657455 is divided by 219151.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000111 - 11?\nAnswer: 1010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 14*s + 77. Let v(a) = -7*a + 38. Let j(r) = -2*c(r) + 5*v(r). What is the first derivative of j(x) wrt x?\nAnswer: -4*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 725, 1478, 2275, 3122, 4025, 4990, 6023, 7130?\n\"Answer: p**3 + 16*p**2 + 698*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/884 and 125\/631176.\nAnswer: 631176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 14, u: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 0.136.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**3 + 11*q**3 - 5*q**2 + 7*q + 37*q + 4*q**2 + 6*q**2 to the form y*q**3 + h*q + o + t*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 361 + 199 + -498 + 1 + -2 + 14.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59455 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4126 and 77746?\nAnswer: 320779996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9164.0725 rounded to the nearest one hundred?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2))**38\/(p**(1\/2)*p**(2\/15)) assuming p is positive.\nAnswer: p**(-589\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 4 - (3 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239460*2.44.\nAnswer: 584282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200300 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 5. Let l be (-1)\/(((-4)\/(-6))\/d). Suppose -2*r + 6 = 0, -5*n + 23 = l*r - 2*r. Solve -j + n*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3589 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/(((-500)\/120)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197340 rounded to the nearest one thousand?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 1. Let f = -0.01 - 0.09. What is the closest to f in y, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-2\/13)\/h)\/h)\/(h**(-2\/21)*h))\/((h*h**(-6)*h)\/h**(2\/5)) assuming h is positive.\nAnswer: h**(3196\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58383, -233528, -525437, -934110, -1459547, -2101748, -2860713?\nAnswer: -3736442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29903 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 100918191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 16. Let k be t(-5). Let a be 9\/k*(-12)\/9. Suppose -s = 2*g - 531, 4*s - 17 = a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 - 236. What is the smallest value in -1, -0.9, l, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -19*v**4\/4 + v**2\/2 - 4*v. Let y be m(-1). Let q = y - -91. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/13)\/x**(-10))\/((x**(-5\/3)\/x)\/(x\/(x*x*x**(-8)))) assuming x is positive.\nAnswer: x**(785\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-18) - -3 - 385\/(-99)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 8*j - 5 = 63*b - 30*b - 7*j, -5*b - 14*j - 80 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-4) - 11\/(-44). Suppose f + 3*v = -f + 3, 3*f - 4*v + y = 0. Suppose -5*n + p - 1 = f, n + 3*n - 3 = -3*p. Solve n = -3*a - 0*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = 4*a - 5*b, 3*a - 4*b - 224 = 716. What is the second derivative of -3 + 4 + a*c**2 - 72*c**2 + c - 4 wrt c?\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18890?\nAnswer: 2, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -o + 1791. Let c(g) = -1333 + g**3 + o + 1508 + 2128 - 2*g**2. Let w be c(0). What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17 + (-5097909)\/(-301340) - 10\/(-65) and 52\/2135.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -466?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260614725?\nAnswer: 3, 5, 7, 23, 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 80. Suppose -2*r + t = 5. Suppose -2*v - 14 = -4*v. Calculate the remainder when r is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1859*x - 8682. Calculate k(-5).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7519 - -661679\/88. Calculate the common denominator of 81\/110 and y.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/966?\nAnswer: -1\/966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 35. Suppose 3*f = 120 - b. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9288 and 2322?\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3024 divided by 8.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -18*m + 5*m. Solve -4 = -8*h + m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + (-5)\/(-1) - 72\/(-4). Let j(a) = a**3 - 10*a**2 - 7*a - 29. Determine j(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.965 + 1.665. Which is the smallest value? (a) t (b) 8 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a**3 - 10*a**2 - 26*a + 12. Let n be j(-6). Suppose -17*y = 34*y - n. What is the greatest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/24)\/((4\/((-240)\/(-9)))\/(62\/(-155)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9558 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)*2*24*20\/640.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-30))**(-21)*j**(1\/14)*j**23 assuming j is positive.\nAnswer: j**(9143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:35 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80, -194, -318, -458, -620, -810, -1034, -1298?\n\"Answer: -i**3 + i**2 - 110*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 2*b - 1. Let m be y(-1). Let p be 2*m*(1 + -2). Suppose -p*w + 18 = j, -3*w - 2*j + 18 + 10 = 0. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 6*i + 12. Let o(d) = 4*d**2 + 7*d - 13. Let c be ((-450)\/120)\/(3\/(-4)). What is c*o(x) + 6*m(x)?\nAnswer: 2*x**2 - x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdefo. Give prob of picking 1 e and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22685 + 391 = 4*y, 3*y - 5*d - 17267 = 0. What are the prime factors of y?\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8009\/5 - -1603. Suppose -x*h + 2\/5 + 6\/5*h**2 - 2\/5*h**3 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-10)*(-50)\/(-5). Suppose 0 = x - k*x + 2310. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49972)\/11284)\/(-1 + 24\/21)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/22 + 3738*10\/385. What is the second biggest value in -2\/21, l, -9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409*r**3 + 1 + 57880*r - 28936*r - 28945*r to h*r**2 + s*r + v + z*r**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 1\/105*q**7 - 2\/15*q**6 - 2*q**2 + 1\/42*q**8 + 1\/3*q**4 + 1\/3*q**3 + 0 + 0*q - 1\/15*q**5. Let t(r) = 0. Calculate r.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*f**4 - 214?\nAnswer: -440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 827064?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 2970*u\/7 + 1079500\/7.\nAnswer: 2*(u - 850)*(u - 635)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + 11. Is 43 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let g be ((-3)\/5)\/((-5)\/50). Let x(f) = -f. Calculate g*x(w) - o(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = 18*d - 1836. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -52*k**2 - k. Let p(a) = 21 + 57 + 2*a - 78. Calculate p(l(h)).\nAnswer: -104*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.960755 take away -25?\nAnswer: -6.960755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 3*h + 26. Calculate the remainder when 153 is divided by u(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 40 = -5*d, -2*k - 2*d + 104 = -0*k. Let n(z) = k - z - 50. Let t(q) = 5*q + 1. What is 6*n(j) + t(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.15544 rounded to one dp?\nAnswer: 697.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -774, -1647, -2706, -4035, -5718, -7839?\n\"Answer: -14*x**3 - 9*x**2 - 748*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:36 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 9545?\nAnswer: 9545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**16 assuming s is positive.\nAnswer: s**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*d - 5, 0*a + 3*a - 5*d - 30 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - v = 8 - 1, -2*b = -v + 5. Let z(p) = -13*p + 5. Let s(u) be the third derivative of 1\/3*u**3 + 0 - 6*u**2 - 1\/4*u**4 + 0*u. Give b*z(h) + 9*s(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:57 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -32\/11 (b) -3 (c) -2 (d) 2\/9 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1137*t**4 + 2*t**3 - 54*t**2 - 7*t - 34295905 wrt t.\nAnswer: 4548*t**3 + 6*t**2 - 108*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {t: 1, m: 2, o: 4, g: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - 7*m**2 + 23*m**2 - 17*m**2 - 13 + (3 - 3 + 5*m**3)*(15*m - 15*m - 3*m**2).\nAnswer: -16*m**5 - m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 519540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622177408?\nAnswer: 2, 29, 43, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/745 and 47\/444765.\nAnswer: 444765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 38*n**2 - 81*n + 605. Calculate p(35).\nAnswer: 1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/2)\/(y\/(y**(-1\/5)\/y)))\/(y**(-5\/6)\/(y*(y**(9\/5)*y)\/y)) assuming y is positive.\nAnswer: y**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*z**4 - 98*z - 105*z**4 + 70*z**4 - 27*z**4 - 78*z**4 wrt z?\nAnswer: -2724*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 110 + 23 + 24 - 110*d + 23 + 25.\nAnswer: -110*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n**2 + 1. Let l(r) = -7*r**3 + 5*r**2 + r + 3. Let k be -2 + 18 + 3\/(-1). Suppose 0 = -3*j + 6, 3*j = -5*t - k - 6. Calculate t*f(a) + l(a).\nAnswer: -2*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 take away -2074157203?\nAnswer: 2074157202.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 3\/13, 792?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (10 + -11 - -2) + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4422.7258 to 0 decimal places.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/6 - 4)*0. Let w = 14.87 + -15. Let n = 0.23 + w. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*w - 2*r, -w + 2*r + 6 + 7 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11967*w + 210 = 11974*w. Solve -33*j + 8 = -w*j + 5*a, -a + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - 2. Let w be g(-2). Let i(c) = 3*c + 2. Let f be i(2). Suppose 0 = w*l + 2*l - f. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 4*z - z + (-4 - 2*z + 4)*(-4 + 3 + 3) + (25448 + 204*z - 25448)*(1 + 2 + 0).\nAnswer: 606*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - 2.4. Let d = -4 - o. Let x = 5\/2 - 9\/4. Which is the closest to x? (a) -0.1 (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23+519\nAnswer: 519.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -176, -583, -1382, -2705, -4684?\nAnswer: -7451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878.3484 rounded to the nearest ten?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 60*o**4 - 85*o**3 - 240*o**2 + 260*o = 0. What is o?\nAnswer: -13, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 27*b + 135. Let s be g(-5). Suppose s = i + o - 17, i + 6*o = 10*o + 42. What is the remainder when 191 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - -32 - (-17 + -18 + 10 - -20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.6365634+-104\nAnswer: -101.3634366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123195121 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505 divided by 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -14 + 30. Let l(r) be the second derivative of -3\/2*r**g + 2*r + 1\/4*r**4 + 0*r**3 + 0. Factor l(k).\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 + 685068*h\/7 - 115890736\/7.\nAnswer: 4*(h - 169)*(h + 171436)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233033 (base 4) in base 5?\nAnswer: 211434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*-1 + (sqrt(68) - 6*-2*sqrt(68)))\/(sqrt(16)\/sqrt(4)*-6 - sqrt(4) - sqrt(12)\/sqrt(3)*2).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 6*k**2 + 22*k - 16. Let m be p(5). What is the greatest common divisor of 1127 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:41 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38 and -1411.\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0538 + -0.007. Let g = o - 0.045719. Round g to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -38, 18 in decreasing order.\nAnswer: 18, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 28*s**2 - 194*s + 370. Give k(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2 - 8\/(-16). Suppose r*w - 16 = w. Solve -8 = w*d - 7*d - j, 5*d - 5*j = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 - 5*x + 5. Let z be o(-5). Let a = 8 + -5. Suppose 7 = 4*y + 5*j, 0 = 3*y + j + a*j - z. Solve -y*h + 7 = -8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - 5*n - 6. Suppose -3*i = 5*s - 14 - 1, -3*s = 4*i - 20. Calculate c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496636235 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 6*i**2 + 13*i - 121. Let m(v) = -v**3 - v**2 - 2*v + 1. What is 6*m(c) + o(c)?\nAnswer: -4*c**3 + c - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68140*o + 27*o**2 - 68136*o - 33*o**2 + 136276*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3, 1\/4, 0.1.\nAnswer: 0.1, 1\/4, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*b + 255, 2*d - 66 - 36 = -5*b. What is the remainder when 101 is divided by d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 11. Let s(i) = i - 2. Let g(p) = 4*j(p) - 22*s(p). Let n(f) = -2*f**2. Determine g(n(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87050, -87135, -87220, -87305, -87390, -87475?\nAnswer: -87560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 1, n: 1, c: 1, j: 1}. Give prob of picking 1 c, 2 x, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.3, 6, -232.24, 0.4 in descending order.\nAnswer: 6, 0.4, -0.3, -0.4, -232.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 30, 0.5, -14, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703834?\nAnswer: 2, 17, 127, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 38, 1\/2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by 6\nAnswer: -89\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) -0.04 (c) -1\/3 (d) 838 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2054 = 5*o + o + 758. Calculate the highest common factor of o and 13878.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463 = -18*v + 301 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -27592 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 4)*(-28*n - 20*n - 9*n).\nAnswer: -456*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 65. Which is bigger: j or 13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*a = -22, 0*o - 3*a + 50 = -7*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2213*d = 761*d + 1009*d + 26580 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1330114 - -325?\nAnswer: -1325345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49014 or -49252?\nAnswer: -49014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21182 - -55009659\/2597. Let b = l - 17452\/7791. Find the common denominator of -29\/15 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 4 = 2*g - 3*j, 65 = 5*g + 2*j. Let t be 1*(1 + -2)*1. Let s(r) = -r + 1. Let o be s(t). Solve -o*f = f - g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -4466?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 48. Let r = 13.1 + o. Which is the third biggest value? (a) -0.5 (b) r (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1\/4 (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*l + 1286*l + 287 + 65 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srrsrrrssr. Give prob of picking 1 r and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -2, 5, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List 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 a = 80 + -86.2. Let i = 6 + a. What is the nearest to 1\/11 in 4, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5730551 milliseconds to hours.\nAnswer: 0.00000043695975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k = -470*k - 3419 - 3061 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 80*r**4 - 1160*r**3 + 7200*r**2 - 17280*r + 13824 = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 take away -0.00786?\nAnswer: -771.99214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(56)\/(sqrt(72) + sqrt(8)) + sqrt(7) - -5*-3*sqrt(7))*2.\nAnswer: -55*sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzlnnlnununnzznn. Give prob of picking 1 z and 3 n.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*122.\nAnswer: -17.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -241412 plus 11?\nAnswer: -241401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by 24103.\nAnswer: 117\/24103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**3 - d**3 - 3*d**3)*(0*d - 3*d + 0*d) + 147*d**4 - 309*d**4 - 80*d**4 to p*d**3 + h + i*d + y*d**4 + c*d**2 and give y.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 1. Let p(u) = -2*u**2 - 6*u + 6. Let h(x) = l(x) - p(x). Let y be h(-7). Suppose y = -n + 42 - 5. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 62 = 8. Solve 10*a**5 - 5*a**3 + 23*a**2 - 6*a**4 - 8*a**2 - r*a**4 - 5*a = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -8. Suppose 5*s + 14 = 5*y - q, 0 = -3*y - 5*s + 47. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w**2 + 3*w - 3. Let s be m(2). Let z = -2 - -4. What is the third derivative of -h**s + 2*h**2 - z*h**3 + h**3 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 3*r + 2. Let z be h(2). Let a be 68\/10 - 1\/(-5). Let x be (-12)\/(-1 - -4)*3\/(-4). Put x, z, a in ascending order.\nAnswer: z, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4348 + -4270. What is the least common multiple of w and 102?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40\/9 + -46\/9. Let w = -1\/373 + -4089\/5222. Let v = 83\/70 + w. What is the smallest value in y, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkwcekkccgm. Give prob of sequence ck.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194247138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b - 36 = 44*b. Suppose -12*t = -14*t + b. Suppose 0 = -4*n + 24 - 0. What is the least common multiple of t and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11155, -19549, -27967, -36421, -44923, -53485?\nAnswer: -62119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v**2 + 1 + v + 6*v**4 + 30*v**2 - 11*v**4 + 8*v**4 + 3*v**4 to l*v**2 + z*v**4 + q*v + w + u*v**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2309 + 3896. Suppose z = a - 415. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1*(-10)\/3. Let j = a + 17. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s = 115*s - 3*l + 648, 57 = 3*s - 3*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 23 - (-2 + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -165, 8, 4, 0, -26 in decreasing order.\nAnswer: 8, 4, 0, -26, -29, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - (-1 + -1)). Suppose x = 4*f - 5 - 7. Let g(o) = -2*o. Let h(t) be the first derivative of -2*t**2 + 12. Give f*h(s) - 7*g(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -8, -5, -6, -1.4, -3 in ascending order.\nAnswer: -8, -6, -5, -3, -1.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -5 - (70 + -72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13347 + 13359. Sort 2, -105, u.\nAnswer: -105, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 2 - 2)*(7 + 0 - 5) + 2*c - 4*c + 0*c + (4 - 2 + 0)*(5*c - 3*c - 3*c) + (-1 + 4 - 2)*(-72 + 72 + 20*c))*(0*c**2 + 0*c**2 + c**4).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1304 = -4*w - 4*u, 4*u + 208 = 3*w - 742. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 1a3750?\nAnswer: -1a375b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*x + 96 = 0, -5*d = 2*x + 19 - 167. Suppose -d = -8*h - 4. Is 44\/(-66) - ((-886)\/h)\/2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*l + 1370 = -1314, 5*l + 1354 = 2*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19456993 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7680.796t to nanograms.\nAnswer: 7680796000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 - 184*a - 2. Let s(r) = -1058*r. Determine s(v(i)).\nAnswer: 6348*i**2 + 194672*i + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-31)*i*(i*i*i**4)\/i*i**4 assuming i is positive.\nAnswer: i**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 19*q - 7. Let s be c(-10). Let a be -2 + (-9)\/s + 4. Let f be (1 - 0\/a)\/(-1)*-2. Solve -2*o + 14 = 4*h, -o - 3*h + 10 - f = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.3 - -5. What is the third smallest value in 2\/9, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 27646859*n**4 + 7935757*n**2?\nAnswer: -60*n**2 + 663524616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 24\/24737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(833)*1 + sqrt(833) + sqrt(833) - (sqrt(833) + -1)*5 - (3*(sqrt(17) - (sqrt(17) + 0)) - (sqrt(17) + 1*sqrt(1377))))**2.\nAnswer: -80*sqrt(17) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Suppose 2*v - 20 = -5*b, -h*v - 3*b + 13 = -4*b. Solve -v*c = -3*y + 24, 0*c + 4*c + y = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*g**2*l - 1169*c*g*l + 29*c*g - 2*c*l - 4*g**2 - 8667*l wrt c.\nAnswer: g**2*l - 1169*g*l + 29*g - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 39. What is the third biggest value in 4, x, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10088833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 6. Give f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(1 - (-14)\/(-4)). Let f be 40\/(-32)*(-9 + 4 - -1). Solve -5*p - 4*c = 13, -f = -5*p - 0*c + b*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 341*f**2 - 17. Let k(a) = 2*a**2. What is k(b(y))?\nAnswer: 232562*y**4 - 23188*y**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*j + 17. Suppose 16 = 3*v - 2*p - j, -3*v + 15 = 2*p. Suppose -2*y + v*y - 100 = 0. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 1. Let w = 1503 + -1509. Determine j(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -4.4. Let u(r) = 2*r**3 - 8*r**2 + 9*r - 9. Let n be u(4). Put x, n, -5 in descending order.\nAnswer: n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 + 193 - (99 + 2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5. Let h be q(-7). Let t(o) = -1 + o + 5*o**h - o - o. Let j be t(-1). Solve -2*k + j*n = -3, 5*k + n - 27 = -6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuyk when four letters picked without replacement from ufkkyuukuuukkfuuyu?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(156)\/(-1*sqrt(12)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:00 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*q**3*y**2 - 9845*q**2*y**2 - 2295*y**2 - 5 wrt q?\nAnswer: 12*q**2*y**2 - 19690*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 506\/7. What is the third biggest value in u, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/26 + 3696\/2002. Let m(z) be the second derivative of 11\/6*z**3 + 0*z**f + 0 - 25\/12*z**4 - 5*z. Find the second derivative of m(v) wrt v.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73553 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - l + 15 = 2*s, 3*s - 3*l = -9. Suppose 51*v - 45*v - 60 = 0. Solve a + 2 + s = 4*y, 3*y - 4*a = -v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9637*q - 18584 wrt q.\nAnswer: 9637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 2. Let v be 4 + (3 - 6) + 4. Let i(r) = -r**2 - 5*r - 4. Give v*c(g) - 2*i(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 21. Let u(f) = 4*f + 2*f + 1 + r*f. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z + 72. Let l be r(6). Suppose o = -m - 7, -2*o + 4*o + 4*m + l = 0. Let v(h) = -2*h**3 - h**2 + 3*h + 2. Determine v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -919546 by -3.\nAnswer: 919546\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -795, -788, -777, -762, -743, -720, -693?\n\"Answer: 2*j**2 + j - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 + -3655\/26. Let q = y + 1\/13. Put 0.2, q, 5 in descending order.\nAnswer: 5, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2196556 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 2*m - 2*m)*(-5*m - 60*m - 6*m) + 2*m**2 + 2 - 2)*(-11 - 10 + 9 - 2 + 0 + 0 + (-2 - 4 + 5)*(-4 - 1 + 3)).\nAnswer: -1728*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -119, -118, -117, -116?\n\"Answer: r - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 50355955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0926 - -0.3926. What is the smallest value in 4, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Find the third derivative of -8 + 8 - t*h**3 - h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11589*z - 820. What is the ten thousands digit of b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4996.60875 minutes to weeks.\nAnswer: 0.4956953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 18. Let m(z) = z + 7. Let c(s) = -5*s - 29. Let y(d) = -2*c(d) - 9*m(d). Let x be y(5). Solve -q + a*q - 12 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 384?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 6*p**2 - 3*p**2 + (-12*p**2 + p**2 - 12*p**2)*(-3 + 2 + 0) to the form v + k*p + m*p**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9829\/2061 - 5 - 2\/(-9). Is i at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g = 50*g + 300. Suppose 57*h + 3009 = g*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 - 1)*(2*u - 2*u + 2*u**2) + 53*u**2 + 92*u**2 - 228*u**2.\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(26\/(-65) + (-238)\/(-20)). Let t = 131\/92 + h. What is the biggest value in -5, t, 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3139 - 3097 = -21*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6791965493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/(-572))\/(2\/(-22)*(-26)\/65)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-6)\/(-3)*-1). Solve 0 = 3*i + s + 4, l*s - 8 = 3*i + 2*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 97050517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/7 - 78518*f**2\/7 - 3765310*f\/7 - 41328394\/7 = 0. Calculate f.\nAnswer: -39211, -31, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/(-5)*16\/64. Which is the nearest to i? (a) -4 (b) 5\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1699*j**2 + 4*j - 3. Let q be f(3). Round q to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 48 (b) 5 (c) 353 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a factor of 37904384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26607, 106450, 239513, 425802, 665323, 958082, 1304085?\nAnswer: 1703338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.055 + 1.455. Let q = -1.25 + 0.05. Let g = c + q. What is the second smallest value in -3\/5, g, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 1, q: 4}. What is prob of picking 1 d and 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.08187 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 47. Suppose -y*a + 3 = -9. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 3.05. Let h = 1818 + -1817. Put h, -4, s, -0.1 in descending order.\nAnswer: s, h, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Suppose 2*o + 2*r = 3 + 3, 24 = 3*o - j*r. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/121 and -50\/33.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 51, 62, 73, 84?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 419, 1413, 3345, 6527, 11271?\nAnswer: 17889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0294503481 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 + 162. Let x be 10\/(-20)*2\/q. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 (base 11) in base 4?\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g. Do g and 1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 62\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x - 4 - x**2 - 4*x**2 - 4*x**2 - x**2. Let v(j) = -4*j**2 + 0 - 1 + 2*j**2 + 3*j. Let k(g) = g**2 - 6*g + 2. Let b be k(5). Give b*p(q) + 14*v(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 - 10*v + 24. Let a be f(6). Find j, given that -a*j**2 - j**3 - 320*j - 576 - 304*j - 13*j**2 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u. Suppose 2*q - a = 43 - 33, a - 4 = 0. Sort 3, u, -5, q in decreasing order.\nAnswer: q, 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyrw when four letters picked without replacement from {y: 2, n: 4, b: 4, w: 9, r: 1}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2285550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 + (0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(-v + 1 - 1) - 8 + 8 - 6*v to the form y*v + g and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (3 - 3495\/(-21)). Let t = -172 + i. What is the third smallest value in t, -3, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654981.\nAnswer: 3, 109, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(164\/(-3690)*-45). Factor -2*v + 11\/3*v**2 - 2*v**3 + 1\/3*v**4 + m.\nAnswer: v*(v - 3)*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -278*s**2. Let i(d) = -2*d**2 - 7743*d + 7743*d. What is i(t(j))?\nAnswer: -154568*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -7. Let m be (b\/8)\/((-1)\/6). Calculate the highest common divisor of 27 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/78*45\/160?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 divided by -8?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -73, -90, -123, -178, -261, -378, -535?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/65, 1.6, -2\/3 in decreasing order.\nAnswer: 1.6, 2\/65, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -357 - -535. Suppose x = 13*p - 4. Let k(l) = -10*l**3 + 7*l. Let r(c) = -3*c**3 + 2*c. Determine p*r(z) - 4*k(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**3 - 5*s**2 - 30*s + 208. Let d(v) = 7*v**3 + 4*v**2 + 24*v - 208. What is 5*d(q) + 4*m(q)?\nAnswer: 3*q**3 - 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/180 - 2*h**3\/3 - 4*h. Let v(w) be the second derivative of n(w). Let d(t) = -1 + 1 + t**2. What is d(v(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 143*z. Let t(c) = -3*c**3 - 141*c - 1. Give 4*q(s) + 3*t(s).\nAnswer: 3*s**3 + 149*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + u = 10, 5*a - 2*u + 4*u = -7. Let y(s) = 1. Let m(w) = -2*w + 1. Let d(q) = 4*q - 1. Let n be d(1). Determine a*y(j) + n*m(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 4*d**2 + 6*d - 5. Let v be g(4). Let p = 8182 - 8182.5. What is the second smallest value in p, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -8*q + 22. Let k be 742\/63 + 6\/q. Let s(z) = z**3 + 13*z**2 - 10*z + 11. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-2)\/1)*(-3)\/(-6). Suppose o = -u - 15 + 12. Put 5\/3, -2, 3, u in increasing order.\nAnswer: u, -2, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*o = -0*s - 495, 5*o - 15 = 0. Let a be s\/(-30) + 4\/10. What is the units digit of a\/2*2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a factor of 682623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3))\/(6*(sqrt(6) + sqrt(96) + sqrt(6)) + sqrt(6)).\nAnswer: 2*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/7 + 30*d**2\/7 + 33*d\/7.\nAnswer: -3*d*(d - 11)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*c - 4276 - 3229, 3*c - 5630 = 2*s. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**4 + 10920*n**3 + 142850*n**2 - 96840*n - 4448925 = 0?\nAnswer: -9, 5, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1351 - -2?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2677 + 748. What are the prime factors of y?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t + 10. Suppose -5*r - 145 = -t*u, u - 29 = r + 4*u. Let y = r - -42. Solve -4*g + y = m, 5*g = m - 2 + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (244\/(-671))\/(2\/11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.2 + -29. Which is the second biggest value? (a) 1\/4 (b) v (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let p = 41 - 41. Let d(a) = a**2 + a + 5. Let l be d(p). Solve -z*n + 5*h = 13, -2*h + 25 = -l*n + 3*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 9645 + 4*n**3 - 14396.\nAnswer: 2*n**3 - 24041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:41 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240254 is divided by 2204.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000098138828 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 4*a + a + (-2 + 2*a + 2)*(-2 + 4 + 0) - 3*a - 3 + 1 + 0.\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-10) + 5\/(-25). Suppose 0 = b - y, -5*b - 4*y + j*y + 6 = 0. Determine w, given that 0*w + 0 + 2\/7*w**b - 6\/7*w**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 15) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 657025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 1771*z + 1770*z - 3541*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61.99999467 - -62. Round h to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j + 85*j = -3*s - 8, -2*s - j - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 13 = 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 370500 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 687, 1242, 1937, 2772, 3747?\n\"Answer: 70*w**2 + 205*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-10) - 13) + (-410)\/58?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*h - 620*h + 285*h.\nAnswer: -53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*l - 81 = -3*m, -m = l - 33. Let y = -12 + m. What is the remainder when 51 + 1 - 0\/1 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 3. Let p be j(-1). Suppose -4*c + 80 = 5*w, -c - p*w = 4*c - 113. Solve 4*a + a = -c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*r**3 + 55458*r**2 - 55458*r**2 - 129*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - (-2132)\/(-12). Let q = i - -212. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*i + 14, 2*v - 3*v = -4*i + 7. Let z be ((-4)\/(-10) + -1)\/(4\/(-20)). Let a(d) = -v*d + z*d + 2*d + 3*d - 4. Determine a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 2, a: 4, z: 3}. What is prob of sequence kafk?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 18 = -22. Suppose 3*h - i = -88. Let t = h - -59. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16931846.\nAnswer: 2, 911, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 516 = 34*g. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11 = -2*g, 43 = 658*g - 652*g + 5*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 20*q - 17. Let t(l) = -l**2 - l + 28. Let c be t(-5). What is the tens digit of v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 129 - 39. Let f be (8\/20)\/((-1)\/(-30)). What is the highest common factor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5041 (base 9) to base 10\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20708464.\nAnswer: 2, 7, 23, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 29697.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 6*g + 2 - 4 + 7*g - 2*g - 3*g + 3*g - 2*g + 0*g - g + 0*g + 0*g + (g - 2*g - g)*(-5 + 1 + 2) + g - 4*g + g - 2 + 2*g + 2 + 4*g + 0*g - g.\nAnswer: 15*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 118 = 490 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - y + 565 - 44, -2*m = -3*y + 345. Suppose 4*t - 5*o + 452 = 0, 2*t + 244 = -o + 18. Let w = t - m. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.29 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 8. Let f be i(8). Suppose 2*l + f = 18. Solve -7*n + 2*n - l = -4*p, -2*p + n = 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.214 + 0.014. Let m = 0.8 - j. Let l = -190 + 186. Sort m, l, -1\/2, -5\/6 in ascending order.\nAnswer: l, -5\/6, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) - 1*sqrt(176)))*3)\/sqrt(4).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/94)\/(17\/(-34)). Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-8)*188\/141. What is the nearest to 0.2 in l, 0.5, -32, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 760050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 26. Suppose -2*m = 5*h - 55 - 150, -l*h = 3*m - 294. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4\/4 - 4315*p**3\/4 - 538595*p**2\/4 + 5200515*p\/4 = 0?\nAnswer: -709, -163, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73545629 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -11*i - 420 + 167 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ioorsfs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455916.\nAnswer: 2, 3, 37993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 + 13. Suppose 31 = h*l - 14. What is the highest common factor of 99 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 211*c - 6206 = 17*c - 6206 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Calculate the lowest common multiple of 23 and l.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4231721 + -2944398. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Let b(z) = -z - 4. Let f(c) be the second derivative of c**3\/6 + c**2\/2 - 149*c. Let t(n) = b(n) + 3*f(n). Determine 5*g(a) + 3*t(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -27431410 to the nearest 100000.\nAnswer: -27400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-60)*(-6)\/8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100100 (base 2) to base 5.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3048\/15 + (-2)\/10. Let n = p - 139. What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 2, 3, 12, -1, 5 in increasing order.\nAnswer: -32, -1, 2, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355 - -360. Solve 0 = 2*w + 4*b + 26, 4*w + 0*w + 40 = -k*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10701 is divided by 153?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f + 0 + 1\/12*f**4 + 0*f**2 + 1\/2*f**3. What is the second derivative of p(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655604 is divided by 131.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79, -25, -337, -971, -2041, -3661, -5945?\n\"Answer: -19*h**3 + 10*h**2 - h + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*-1 - (0 + sqrt(19) + 4 - sqrt(19)).\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205750 divided by 41150?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Let z(h) = h**2 + 41*h - 1221. Let b be z(20). Let t(c) = 1. Let f(k) be the third derivative of k**5\/60 - 2*k**2. Calculate b*t(y) + n*f(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -447359, -1, -2 in decreasing order.\nAnswer: -1, -2, -16, -447359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:49 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 + 4.21. Let v = n - 4.8. Which is the second smallest value? (a) 8 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6503 + -3832. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -198, -426, -740?\n\"Answer: -43*s**2 - 13*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 156*m + 4. Let u(i) = 79*i + 2. What is -3*s(t) + 5*u(t)?\nAnswer: -73*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69991\/2 - -35015. Let h(q) be the first derivative of -26 + q + a*q**2. Differentiate h(z) wrt z.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38051?\nAnswer: 13, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.88 - 0.32. Let v = s - -4. Let j = v - -0.3. Which is the closest to j? (a) -5 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 2*w. Let y(j) = -4*j**2 + 5*j + 4 - 7*j**3 - j**3 + 9*j**3. What is the units digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {m: 4, r: 5, f: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*y**5 - 636*y**4 - 6346*y**3 + 20244*y**2 - 6336*y - 6912 = 0. What is y?\nAnswer: -24, -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.5 + -17. Let z = b + 0.5. Let c be 2\/(-8) + 12\/(-16). Put 0.3, c, z in descending order.\nAnswer: z, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 58 = -61. Put 2\/9, w, -0.3 in decreasing order.\nAnswer: 2\/9, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**2 + 1\/6*g**3 + 0 + 3*g. Let d(j) = 4*j. Give h(d(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -8*s + 80. Let k be s*(1\/3 + (-16)\/24). Which is greater: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o + 9 = m, -2*o = -2*m + 6. Let k = 166\/5 + -33. Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336748 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21\/47 (b) 1 (c) 0.236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/63*3 + 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) - 156\/910. Solve -2*m**2 + f + 2\/5*m + 6\/5*m**3 = 0 for m.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlb when three letters picked without replacement from mlszmzmlxzzb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 13. Suppose 17 = i*p - 1. Let m = 43 + p. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3176, -12729, -28650, -50939, -79596?\n\"Answer: -3184*o**2 - o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 5:05 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11020200 (base 4) to base 9\nAnswer: 31750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14308327\/163464)\/(-11) + 4. Let z = b - 6\/6811. Calculate the common denominator of z and -71\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41*(-324)\/16605)\/((-2)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19074 - 19060. Suppose t = -2*l + 70, 0*t = 2*l + 5*t - 86. Suppose -11 = -r + l. Calculate the least common multiple of r and g.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*u**3 + 51*u**2 + 5900*u - 5901*u + u**4 + 0*u**3 as c*u**2 + l*u**3 + g*u**4 + n + q*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*s + s**2 + 166*s - s**2 - 3*s**4 wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t**2 + 28*t - 21. Let b(k) = 12*k**2 - 20*k + 15. Let s(g) = 7*b(g) + 5*y(g). Let c(z) = -2*z - 1. Give s(c(n)).\nAnswer: -4*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -107 (b) -10 (c) 3.52 (d) 0.1 (e) -0.4 (f) 1 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1080.57?\nAnswer: 216.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.7. Suppose -5*j + 6*k + 70 = 2*k, k = j - 13. Let f be (-2)\/j + -10*20\/(-504). Which is the closest to f? (a) -2\/11 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37878, -78911, -119952, -161001, -202058?\n\"Answer: -4*o**2 - 41021*o + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/58? (a) -2\/15 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o + 47. Let y(w) = -34*w + 181. Calculate 9*c(a) - 2*y(a).\nAnswer: -4*a + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -23 - 125. Suppose -4*p + 0*p = 3*o - 29, -5*o - p + l = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 12 + 8 - -16) + -63?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 25 = 3*h + 2*h, -4*h - 20 = -2*f. Suppose f = 4*k + 1 + 3. Let w be -1 + k - (-36)\/6. Solve w*x = -3*l - 6 + 26, 2*x + 5*l - 24 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9920)\/(-260) + (-4)\/26. Suppose n*o - 43*o = -2590. What are the prime factors of o?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154494 by 5722.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-1*sqrt(76)*4 - sqrt(76)))*-2)\/(sqrt(484)*-2*3) + 1.\nAnswer: 2*sqrt(19)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -60?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a - 8. Let y(g) = g**3 - 15*g**2 - 10*g - 38. What are the prime factors of y(a)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 - 4*n - 3. Let r be (5 + -6)\/(2*(-3)\/150). Let q = -20 + r. Let c be t(q). Solve -v - c = -7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27034267.63 to the nearest one hundred thousand.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 + (-1 - (1 + -2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36315715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 3*v**2 + 11*v + 6. Let r be ((-90)\/(-45))\/(1\/2). Let m(x) = -2*x**3 - x**2 - 4*x - 2. Determine r*y(w) + 11*m(w).\nAnswer: 2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235 and -0.07551?\nAnswer: -17.74485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-39))\/((2\/1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 99*g + 10\/7*g**2 - 17\/21*g**3 + 1\/14*g**4. Factor j(n).\nAnswer: 2*(n - 5)*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*h + 7 + 8, -12 = g - 4*h. Let w(c) be the first derivative of 1\/3*c**3 + 1\/2*c**2 - 1\/4*c**4 + 38 - 7*c. Calculate w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 3213?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3977 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**2 - 53*v**2 + 147*v**2 - 77*v**2 - 54*v**2.\nAnswer: -67*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 275.2 (b) 1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/45 - (4548\/540 + -9). Which is the closest to -1? (a) i (b) -0.07 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240912 and 32.\nAnswer: 481824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16576\/(-14400) + 5 + 744\/(-150)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*u + 62, 8 = -5*j + 3*u + 90. Suppose 2 = -3*a - 2*h + j, 0 = -5*a + h + 20. Put -5, a, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57\/52289 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80780 and 1676185.\nAnswer: 6704740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*-4*(-2 + sqrt(242) - sqrt(242)))**2 + -3).\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 8 - 8 + (3 - 1 - 1)*(-1 + 1 - 2*j) + (-j + 1 - 1)*(-4 + 2 - 2))*(1 - 2 + 3)*(j + 0*j + 0*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.531 - 0.031. Let x = -0.18 + -0.26. Let g = x + z. Round g to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 28. Suppose x*r - 34 = -5*v, -2*v = r + v - 14. Calculate the common denominator of -21 and (-792)\/80*(-10)\/r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 10*q + 7. Suppose 11*g + 384 = 27*g. Let h = -14 + 16. Suppose 34 = -4*a + 3*j, -h*a + j = -4*j + g. Calculate z(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5399 <= -5399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12020012020?\nAnswer: -12020012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknkknnnynnnnsnxnx. Give prob of sequence nns.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3222)\/716)\/((-99)\/1034)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 192489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y = -3, -2*y = z + 3*y - 21. Suppose 3*i = z + 48. Calculate the remainder when 35 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2663\/2 + -1332. Which is the third smallest value? (a) z (b) 41 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 x when three letters picked without replacement from {y: 4, x: 8, m: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254643*b**2*g - 107*b*g - 13*b + 5*g wrt b?\nAnswer: -509286*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 24*i - 11*i + 4*i**2 - 13*i. Let h(r) = 3*r + 4. Let a(t) = t - 1. Let f(j) = -4*a(j) - h(j). Give f(c(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 16. Let y be s(-18). Let f be 0 - (1 + (-11 - -2)). Suppose 0 = -y*m - 5*c + 15, -5*c - 7 - f = -m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-5))\/(-8))\/(1\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.3, -376?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -295, -109, 189, -2 in increasing order.\nAnswer: -295, -109, -2, 3, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 149. Let h(t) = t**2 + 25*t + 54. Calculate the remainder when u is divided by h(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15455 and -0.3?\nAnswer: -4636.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let f = -2.4 + 2.6. Let g be (8\/180)\/((-6)\/30). Which is the nearest to i? (a) g (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18401399 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 2180*d**2 - 2*d + 2180.\nAnswer: 2*(d - 1090)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0 - 27. Let q(n) = -15*n + 5. Let x be q(t). Suppose -4*h + x = h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.3 + 32.7. Let l = -46 + p. Which is the fourth smallest value? (a) 2\/5 (b) 2 (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-5))\/y)**(13\/2)\/(y*y**(3\/23)*y)**(-7\/4) assuming y is positive.\nAnswer: y**(-2049\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (0 + 8 - -4) - -6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692995 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3) + 1*3. Solve -3*u**3 - u**3 + u**2 + 0*u**m - 2*u + 6*u**3 - u**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-354)\/(-24) - (-1 - (-3)\/4). Let z be (s*(-9)\/27)\/(1 + -2). Calculate the highest common divisor of z and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -17. Let s(a) = 2*a - 6. Let v be s(4). Suppose -v*n = n - x. Let z(l) = 2*l**2 - 4*l + 4. Let k(h) = 3*h**2 - 7*h + 7. Determine n*z(q) - 4*k(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421449 minus -1.1103?\nAnswer: -1421447.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*20\/(-48)*-3. Factor 9*p + 2*p - 51*p - 15*p**2 - u.\nAnswer: -5*(p + 2)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-16 + 19 + 28)*(-3*w + 5*w - 3*w).\nAnswer: 62*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 168 = -6*k. What is the greatest common factor of k and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1208088)\/52734)\/(12\/(-22))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)*10\/(-4). Let x be w\/(7\/(-6) - (-4)\/6). Let a(k) = -k**3 + 8*k**2 - 8*k + 6. Let u be a(6). Calculate the greatest common divisor of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 2 + 5 + 1)*(-j - 314 + 147 + 131) to the form i*j + u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 67736*(2490 + 11 + -1). What is n rounded to the nearest 1000000?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 3. Let q(t) = 4*t - 5. Let d(b) = 3*q(b) + 5*y(b). Let v(k) = 3*k**2. Give d(v(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -226. Let z be (44\/(-18))\/(-1) + 7 + -9. Which is the closest to -31? (a) t (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 31*p + 494. Let b be t(-15). Solve -1 = -l - w, -26*w - 7 = l - b*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:19 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10940885 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -133? (a) 0.1 (b) 0.0922 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397 + -221. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10139 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 74, -11 in decreasing order.\nAnswer: 74, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3*j**3\/2 - 12*j**2 + 16*j - 21. Let n(i) be the first derivative of m(i). What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/53, -1\/3, -4018, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-3*-6 + 0 + sqrt(288) + -4)**2.\nAnswer: -1920*sqrt(2) + 115216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111001000101 + -1?\nAnswer: -110011111001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51302357 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6153666 (base 7) to base 11.\nAnswer: -463031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {m: 2, s: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 3*x - 151 = k, -x + 4*k + 1 + 31 = 0. Suppose -5*s - m*z = -35, 5*z = -4*s - 7 + x. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 7273260?\nAnswer: 232744320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 1, q: 3, h: 10, g: 3}. What is prob of picking 1 r, 1 q, and 1 d?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*i - 42 = -364*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*f + 1\/8*f**2 + 29\/8.\nAnswer: (f + 1)*(f + 29)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33200031 a multiple of 2331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1280)\/224 - 5\/(-7). Suppose -5*v = -n - 54, 5*v - n - 62 = 2*n. Is (-4)\/(-2) + i + v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 598517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184622, -738125, -1660630, -2952137, -4612646, -6642157?\nAnswer: -9040670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14468 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -891669600 to the nearest 1000000.\nAnswer: -892000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 166*o + 567*o - 166*o - 74*o - 165*o.\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.521602 centuries in millennia?\nAnswer: 0.0521602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 29, 53, 95, 161, 257, 389?\n\"Answer: z**3 + 5*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -56.2. Which is the nearest to -2\/9? (a) 1 (b) 0.4 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/(-100) - (-2)\/(-4). Let y = -8\/75 + r. Let w = -3449161\/3 - -1149720. Which is the nearest to -0.2? (a) y (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-4)*928\/(-580)*(-8)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -11. Let x(h) = h**2 + 6*h - 6. Let y be x(-5). Let d = y + 16. Solve d*a - 25 = 5*u, -17 + 2 = -z*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and -1 - (1 - 5) - -7*3.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1876)\/603 - (-8)\/(-36))*144\/15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*t - 792629 - 177391, 0 = -2*n + t - 388004. What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -159539.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45 + -52 - 50\/(-8). Let v(t) = -t**2 - 10*t + 10. Let o be v(-11). Put o, z, 0.3 in descending order.\nAnswer: 0.3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*z**4 + z**3 - 10*z - 3 wrt z?\nAnswer: -480*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 minus -0.96?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 1, r: 1, n: 3, z: 1, b: 4}. Give prob of picking 1 r, 1 z, 1 b, and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 p when four letters picked without replacement from {p: 11, c: 9}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 3940937.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6687752.\nAnswer: 2, 53, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/168*8)\/(22\/3)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/5325*-25*918\/(-72).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -142780 to the nearest one thousand.\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2852.82 and -0.1.\nAnswer: 285.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 + 7*d - 127. Let u(v) = -8*v**2 - 8*v + 127. Calculate -7*q(y) - 6*u(y).\nAnswer: -y**2 - y + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1862 + -1854. Solve -3 = -2*y + a - n, -5*y - 5 = -a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.256270462 to 4 decimal places.\nAnswer: 2.2563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8))**(-4\/11)*m**(-26)*m\/m**24 assuming m is positive.\nAnswer: m**(-1079\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = -26148. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Let c(n) be the third derivative of 0*n + 7*n**2 + 3\/2*n**3 + 0*n**4 + 0 + 7\/40*n**5. Let y(x) be the first derivative of c(x). Give y(q(k)).\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 = 15. Calculate the remainder when 53 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5488 and 54488?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*a = 2, 0*i + 4*a = -i + 7. Suppose i*p = -0*p + 30. Let x = -127 - -217. Calculate the greatest common divisor of x and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:40 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -10. Let u be d + -1 - (-1)\/(-7). Let c be 0\/(1 + -2 + -1). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*o - 359*o + 5*i - 62, 0 = -4*o - 3*i + 51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 - 2*z**2 - 32*z - 153. Calculate the remainder when b(-6) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 20. Let s be a\/(-8)*(-2)\/20. Let o = 3.84 - -0.16. What is the closest to 3 in 1\/6, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 - 9*r)*((-r + 0*r + 3*r)*(-2*r + 3*r + r) + r**2 - 2*r + 2*r + 6*r - 6*r - r**2 + (2 + 2*r - 2)*(-4 + 4 - r)).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972, -1030, -1126, -1254, -1408?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76080? (a) -2\/17 (b) -4 (c) -0.4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28584162 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -22357.00012551 + 22357. Round p to six decimal places.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -0.3, -64, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -65*h + 92736. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t*t*(t\/(t\/t**(1\/5)))\/t)**(9\/4)*t**(-1\/4)*t**(1\/8)\/t*(t\/(t*(t\/(t\/t**(-1)*t)*t)\/t*t*t)*t)**12 assuming t is positive.\nAnswer: t**(1041\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + 1215 - 2*p**3 + 2*p**3 - 5*p**3.\nAnswer: 2*p**3 + 1215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 18576.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(192\/12)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*f - 5*s = 17, 13 = -f - 3*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.29 - -0.09. Sort 2\/9, c, 0.1 in descending order.\nAnswer: 2\/9, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26514930 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.8677 - 0.1023. Let j = n + 14.1. Which is the nearest to j? (a) 1\/10 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 360*f**3 - f**2 + 6*f - 5. Let q be (3 - 0)*5\/3. Let t be m(q). What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Suppose -2*h - 3*f + 31 = -0*h, -h = -p*f - 29. Let k = 20 - h. Solve 4*a + l - 22 = k, -2*l = -2*a - 2*a + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let z(s) = 22044*s**2 + 3. Determine z(u(c)).\nAnswer: 88176*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 105*r**2 + 1405*r + 10. Determine p(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23235424?\nAnswer: 2, 726107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhohhphhhmhooxxhmx. Give prob of picking 1 o and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 = -16*q - 7*q. What is the remainder when (-1690)\/(-15) - 2\/3 is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t + 1. Let y be i(-6). Let s = 513 + -484. Let p = y - s. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -36*w + 742. Let x(f) = 5*f + 1. Determine -8*x(s) - y(s).\nAnswer: -4*s - 750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504620?\nAnswer: 2, 3, 5, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 18 - 137 = -r, -5*p = -5. Is (0 - -1)\/(2\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/59 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(-4)*-1). Suppose 0 = -v - l*v + 15. Solve -v*f + k = 15, k = -3*f - 3*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 0 + -1)\/(18\/(-21822)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11354052 (base 6) to base 12.\nAnswer: 152928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12287 - 12301.007. What is c rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7187270 or 7187273?\nAnswer: 7187270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i + 2. Let w(f) = 14*f - 2. Let s = 134 + -140. Let u(a) = s*q(a) - 5*w(a). Calculate u(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-22) + (-1404)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.1. Let x = 0 - 0. Let v = 89.6 - 90. Which is the closest to z? (a) 1\/7 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.11 - -0.11. Suppose 2*w + 15 = -3*w. Let x be -3 + w\/((-42)\/34). Sort 0.2, a, x in ascending order.\nAnswer: a, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 + 66*u + 212*u**3 + 2*u**5 - 219*u**3 wrt u.\nAnswer: 60*u**3 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b = 215 + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/3)\/(-4) - 1 - (-48)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/1*1. Suppose g = 5*t + 5*v - 8, t + 6 = -3*v. Suppose -10 - t = -c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 569, 23282, 61151, 114188, 182405?\n\"Answer: 2*z**3 + 7566*z**2 + z - 7000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = h + 16, 5*r + 37 = -0*h + 3*h. Suppose h*a - 5*a + 2*x = -2, 4*a = -x - 19. Let l = a - -9. Solve -l*y - 4 = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 9) in base 8?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8494150 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6131 or 6160?\nAnswer: 6131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57096 divided by -3?\nAnswer: 19032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 7 - (-62 - -59)) + -2 + -73.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b - t, -2 - 7 = 3*t. Let w be (b\/(16\/12))\/((-6)\/8). Sort 0.5, 2\/13, -0.2, w in increasing order.\nAnswer: -0.2, 2\/13, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4 + 1534*t**3\/3 - 172*t**2 - 1024*t\/3 = 0.\nAnswer: -256, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226946318, -226946314, -226946308, -226946300, -226946290, -226946278, -226946264?\nAnswer: -226946248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7617862 is divided by 671.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 14.3. Let w = 656.5 - 656. Which is the second biggest value? (a) -3 (b) w (c) 1\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/((-3)\/10))\/(-1). Let v = -686 + 690. Solve x = -v*j - j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose f*y = 3*y + 215499. Let o = 32833 + y. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163637 less than or equal to -163640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86, -155, -272, -437?\n\"Answer: -24*z**2 + 3*z - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:51 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 199*h**2 + 199*h**2.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0) + (5 - -2) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = 3*o. Let p be 5*(-2)\/(o + -3). Suppose -25 = -5*l + 2*d, -3*l = -6*l + p*d - 4. Solve 0 = l*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkj. Give prob of sequence jk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -45*s - 229. Give c(3).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1089475683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x + 2. Give r(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.453 + -1.452990216. What is r rounded to seven decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = q, -10*d = -4*q - 6*d + 16. What is n in 2\/15*n**q + 2\/15*n - 2\/15*n**2 + 0 - 2\/15*n**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvdd. Give prob of sequence vdv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)\/l*l**(3\/4)\/l)**(-5\/8)*((l*l\/(l*l*l\/l**11*l*l*l))\/((l\/l**1)\/l*l))**(2\/5) assuming l is positive.\nAnswer: l**(1673\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 14*z + r + 12 = 0, 3*r + 6 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2848*c + 5. Let h(s) = -4269*s + 7. Give -5*h(p) + 7*w(p).\nAnswer: 1409*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17120 by -8.\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 4. Let n be t(-3). Let w(h) = h**2 + 42. Let x be w(0). Let f = n + x. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 + -137. Which is the closest to -1\/4? (a) 2 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27915833?\nAnswer: 11, 2537803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39105 bigger than 39124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -19*b**2 - 3*b - 3. Let g(a) = a**2. Let j(l) = 3*g(l) - x(l). Suppose -16*i - 7 - 25 = 0. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:42 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 + -157. Suppose o*s + 13936 = 24*s. List the prime factors of s.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -210.56?\nAnswer: -210.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqttqqt. What is prob of sequence qt?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((-5*2*sqrt(90))\/sqrt(9))\/(sqrt(720)*2 + sqrt(720) + sqrt(5) + sqrt(30)\/sqrt(54)).\nAnswer: 45*sqrt(2)\/56 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77820629 to the power of 1\/2, to the nearest integer?\nAnswer: 8822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is -65 smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12. Suppose -j*o + 6 = -5*m, o - 2*o + 2 = -2*m. Let l be (o + -2)*(-2)\/(-4). Solve l = -4*k - 4*i, -2*i - 3*i = 0 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 32798240 and 12299340?\nAnswer: 98394720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22378 and -46637.\nAnswer: 1043642786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*o + 8708 = 486 + 662 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 17 - 5. Suppose -v = -u - 2. Suppose 0 = y + 5*f + 3 + 1, 2*f = y - 3. What is the highest common factor of y and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 - 653*y + 1. Let p(g) = 35*g**2 - 2616*g + 4. Determine -2*p(k) + 9*z(k).\nAnswer: 2*k**2 - 645*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 6\/7 (c) 554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*h - 11 = 0, -j + 0*h = 2*h. Suppose -7*n + 11 = -z - 2*n, -4*z - j*n = -22. Solve -5*y + 1 + z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s**3 - 6*s**2 - s - 6*s**3 + 2*s**3 - 6*s. Let v = 17 + -10. Let t(x) = 5*x**3 + 2*x**2 + 2*x. Determine v*t(f) + 2*n(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39201245767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 1448 = 37*v. Let i = v - -175. Let h(o) = -o + 9. Determine h(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122 - 122 + 8*m + (4*m + m - 3*m)*(-10 - 5 + 1).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 156 = -4. Is d\/(1*(-6)\/9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110110101110111 (base 2) to base 16.\nAnswer: -56d77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1503 and 1837.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11489 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 283, 0, -10, -5, 7 in increasing order.\nAnswer: -10, -5, 0, 4, 7, 8, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k + 1. Suppose 0 = -2*a + 3*y + 7, 4*a + 11*y = 8*y - 13. Let r(u) = 9*u**3 + u**2 - 2*u + 3 - 8*u**3 - u - 2*u**2. Give a*r(g) + 3*o(g).\nAnswer: -4*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000153978 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.838 - -6.019. Let m = 10.7 - -0.3. Let g = m + f. Round g to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -1)*(-2)\/(-4). Suppose 1 = h + c, 0*c = -3*h + i*c + 23. Let w be (33\/h)\/(1\/15). What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7963 is divided by 7766?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-22 - 13 - 43)*(-2 + 3*j + 2) - 3*j - j + 3*j + 2*j - 2*j - j + (-2 + 5 - 4)*(-j + 6*j - 3*j))*(2*j + 3*j - 6*j) to a + g*j + q*j**2 and give q.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.479629mm in meters?\nAnswer: 0.000479629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 24\/(-8 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -96, -146, -196, -246, -296?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-8)*(-20)\/50)\/(84\/(-16)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041278281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38924 or 38923?\nAnswer: 38923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1708498\/19 + -89878. Let a = 43 - o. What is the third biggest value in a, 0.4, -3\/8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**2 + 1563855*i - 1824522 = 0. What is i?\nAnswer: -86882, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5*(-2)\/2)\/1. Suppose -4*d - 4*o + 44 = -d, l*o - 25 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 106\/5. Let u be (-26)\/44 + (-4)\/(-8). What is the second biggest value in -2\/3, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 - -26)\/((-24)\/36). Is -42 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62188900 and 165960?\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/671 and -35\/19032?\nAnswer: 209352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2650 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 + v**4\/4 + v**3\/6 - v**2 + 2*v. Let t be (-80)\/(-12) + 6\/(-9). Suppose 19*n - t = 16*n. Determine k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*t - 55*d + 51*d - 248, 3*d + 39 = -132 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902824073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.32 - 102.223. Let q = 0.097 - h. Which is the smallest value? (a) 3\/8 (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -2, -29.\nAnswer: -29, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 10*w**2 + 3. Let u(l) = 2*l**3 + 11*l**2 + 4. Let f(p) = -4*j(p) + 3*u(p). Find the third derivative of f(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -140, -199, -258, -317, -376?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8435 - -13307. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -103. Let y = 71 - k. Calculate the remainder when 50 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -974370 minus -345?\nAnswer: -974025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h - 30*h = 5*b + 25, -5*h = -5*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 + 0.11. Let l = r - 0.93. Which is the biggest value? (a) -0.2 (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100122 and 7667?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(1 - (-3)\/(-1)). Suppose -k*g - 6 = -g. Suppose -236 = 7*w - 257. Put 5, w, g in ascending order.\nAnswer: g, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 336225, 336179, 336073, 335877, 335561, 335095, 334449?\n\"Answer: -5*i**3 - 11*i + 336241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ae (base 16) in base 4?\nAnswer: -12232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8153)\/(-2697) + (-60)\/2610.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116900 and 700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-66)\/12 + 4 - 51\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 102180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72452491 divided by -3813289.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 234*r**3 + 21*r - 21*r.\nAnswer: 234*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 7*a - 35. Let u(h) = -h - 2. What is the remainder when u(a) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 2. Let u(z) = -z**2 - z + 2. Suppose -6 = -4*y + 6*y. Let p be u(y). What are the prime factors of k(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a3a (base 15) to base 9.\nAnswer: -285241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 61. Give p(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19355509 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + d + d + 18 = 0, d + 12 = 4*g. What is the hundreds digit of 15\/(-15)*(-265 + g\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/r**2)\/r*r)*(r**5*r)\/r)\/((r\/(r**4*r*r))\/r*r*r**(-1))*(r**(-2\/5)\/r)**(4\/7)\/((r*r\/(r**6*r*r))\/r**2) assuming r is positive.\nAnswer: r**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 848*s**2 + 9 + 838*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122442*n**3 - 249559*n**3 + 101391*n**3.\nAnswer: -25726*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -10*l**5 - 75*l**4 + 5170*l**3 - 2565*l**2 = 0.\nAnswer: -27, 0, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59958404 divided by 14989601?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-4)\/(-40))*-2. What is the second biggest value in -1, l, -1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -4, 16.\nAnswer: -4, -3, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -72. Let u(k) = a*k + 9*k - 14*k. Let h(v) = 5*v. Give u(h(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3078.998147 + 3079. What is d rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b + 60 = 0. Suppose -2*m = 2*m - b, -2*d + 5*m = 1. Suppose -u - d = -4*u. Solve n = 3*s + 2, -3*s - u*n + 6 = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 455*p**2 + 35*p - 35. Let l = 36 - 33. Let m(u) = -38*u**2 - 3*u + 3. Let h(z) = l*y(z) + 35*m(z). Let i(a) = -4*a. Calculate h(i(o)).\nAnswer: 560*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 53 = 5*h, -3*x - 6*h - 40 = -2*h. Let r be 1182 + ((-8)\/x - 28\/(-12)). Calculate the common denominator of -13\/28 and 0 + r\/6*2\/(-80).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -819383422 take away -530?\nAnswer: -819382892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.2. Let z = 61 + -60.9. What is the third smallest value in -2\/5, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 66. Let n = c - -118. What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-245) + (-148)\/10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2 + 8*p**2 - 2. Let v(m) = -2 - 5*m**2 + 2 + 3*m**2. Calculate v(w(y)).\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 4*(-6 - (-2 + -3)). Let k be 7 + p\/(1\/(-4)). Solve -k*q = 3*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 25*k + 25. Give s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(10) + sqrt(30)\/sqrt(3)) + (sqrt(10)*-3*-6 - sqrt(10)))\/(sqrt(98) + 1*sqrt(98)*-4 + sqrt(98) + sqrt(98) + -2*sqrt(98)*1))**2.\nAnswer: 605\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 230 = 17*v + 769 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 - 2*o - 1. What is the remainder when k(-4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 81*u - 1732. List the prime factors of h(57).\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-125)\/45 - 4\/18. Let f(c) = -2*c**3 + c**2 + 4*c - 1. Let r be f(n). Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 666 and 31857666?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -3. Let c = d - -0.8. Let u be 29\/60 + ((-6)\/5)\/3. What is the nearest to 1 in c, -2\/3, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 16*q = -12. Suppose -9*i + 24 = -q*i. Solve 3*t - 7 = -i*h, -4*t - h - h - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 3*j)*(-1 + 4 + 2)*(3*j**2 - 3*j**2 + j**3)*(8*j + 9*j - 3*j).\nAnswer: -70*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 566\/12 - (-14 + (-170)\/(-12)). Which is the nearest to l? (a) 1 (b) 0 (c) 0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 9, x: 2}. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1028 and -0.7.\nAnswer: -0.5972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 61265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95\/6 - -2173\/138. Let q = 323.963 - 324. Let v = -3.037 - q. What is the second biggest value in -4, d, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 10*g**2 - 5*g - 2. Let y be s(10). Let r = -33 - y. Suppose 5*l - r = 1. Solve -m + l = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:59 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 9*c - 16. Let y be w(8). Suppose -8 = 8*s - y. Calculate the remainder when 89 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684297 to the power of 1\/2, to the nearest integer?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -11*h - 200. Solve -x = -6*x - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 73. Let t(k) = -5*k - 116. Let m be t(-23). Let z be (8\/18)\/m*(-99)\/66. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let d = -11 + 7. Let b(f) = -f**3 - 4*f**2 + f. Let o be b(d). Let n be m(o). Solve 4*x + 0 - n = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -127*h**6\/40 + 56*h**3\/3 + 4*h**2 - 60*h. Differentiate p(r) with respect to r.\nAnswer: -1143*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17150195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 1380.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 1 - (2 + -48) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102766.4 kilograms to nanograms.\nAnswer: 102766400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 23 - l + 6 in the form s + j*l and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 2*f**2 + 3*f - 92. Let y(r) = 3*r**3 + r**2 - 2*r + 67. What is 4*d(l) + 5*y(l)?\nAnswer: -l**3 - 3*l**2 + 2*l - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 - (-2 - 3) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**(2\/31)*l))\/l))\/l**(-13\/4) assuming l is positive.\nAnswer: l**(783\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -54*p - 1. Suppose -3*c + 12 = -3*k, 0*c + c + 14 = -5*k. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 23 = -4*z, 5*s = -6*z - 17 - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 804589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4418\/17 - 260. Let n = 0.3 + -0.38. Let u = n - -0.38. Which is the second biggest value? (a) u (b) p (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -139, -5, 4, -2\/43, 3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 9926523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 8.6. Let i = 264659 + -264660.600045. Let w = m - i. What is w rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-1 + 9\/6). Let j = 12 - h. Let r be (j\/3)\/(-20)*1. Is 0 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5255 times -548\nAnswer: 835.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 23 = -12. Let s(p) = -6 + 18 - 6 - 4*p**2 - p - c. What is s(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16*(0 + (-1)\/(-2)). Let p(d) = -2*d - 4. Let w be p(s). Suppose -4*i = -4*t + w, -2*t + 2 = 4*i - 16. Put 4, -5, t in ascending order.\nAnswer: -5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -440.376 (b) 3 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.90178, -1, -3\/8 in decreasing order.\nAnswer: 2.90178, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, u: 3}. Give prob of picking 1 u and 3 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -11 - 6 - 65 - 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -2\/161, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 2 - (-384)\/24. Suppose 0 = -m*o - 14*o. Solve o = 4*p - 5*c + 1 + 17, 4*p + 2*c + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:19 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/15 + -2\/5. Let h(j) = j**3 - 5*j**2 - 5*j - 4. Let f be h(6). Which is the closest to -0.1? (a) -5 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:15 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35*((-63)\/(-49) + -1). What is the greatest common divisor of w and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8561 - 12192 = 18*i + 2287. Is -1279 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2 - 8*l**3 - 12*l - 13*l - 5*l**2 + 7*l**2. Let y(u) = u**2 - u + 1. Let o(p) = -t(p) + 2*y(p). Find the second derivative of o(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1672 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2 (c) 1\/43 (d) 2\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 53 = -2*a. Suppose -a*v - 455 = -20*v. Calculate the highest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1024\/9 + 114. What is the closest to 2\/5 in 0.1, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/3))**(3\/20)*((x*x**6\/x*x)\/x)\/(x*x\/(x*x**(-2\/5))) assuming x is positive.\nAnswer: x**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 15 = 6*h. Let u be h\/(-9)*18\/(-42). What is the nearest to 0.1 in u, -5, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3099*k - 247. Is m(-8) 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 yyyyyyyyyyyyyvyyyy. Give prob of picking 1 y and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 + 60*p**4 + 135*p**3 - 20*p**2 - 180*p.\nAnswer: 5*p*(p - 1)*(p + 2)**2*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(63\/(-7))\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 10*c - 63 = 9*c, -4*q + 3*c - 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402545 is divided by 264?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -124, 0, -7, -18 in ascending order.\nAnswer: -124, -18, -7, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934*f - 90 = -936*f - 5*b, -6*f = -4*b + 72 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509 + 1754. What is the tens digit of (-2)\/13 - u\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52564*k**4 + 43379*k wrt k?\nAnswer: -630768*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (1 - 4) - -15. What is the greatest common factor of 60 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q**2 + 657*q - 29. Determine j(-47).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2\/2 + 12*t - 1. Let q be g(-10). Solve -q*a = -h + 3*h - 12, -4*a + h = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1377*u**2. Let x(q) = 16*q. What is x(a(p))?\nAnswer: 22032*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21577?\nAnswer: 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 296579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64173527428.55265843 - -64173525958. Let s = t - -979.55265114. Let n = 491 + s. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 48*h**3 + 111*h**2. Let z(r) = 3*r**3 + 7*r**2. Suppose v = -27 - 6. Let s(i) = v*z(i) + 2*o(i). What is the third derivative of s(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*u**4 - 2*n*u*v + 5*u**4*v + 2*u**4 - u**3*v - 6*u**2*v - 38*u + v wrt u.\nAnswer: 48*n*u + 120*u*v + 48*u - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odq when three letters picked without replacement from {d: 3, k: 2, q: 1, n: 1, o: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4360 + 4360. Solve -42*q + 36*q + 6 = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from fjsjffffsssssssfsfss?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 45*w**2 - 3635*w + 10565. What is i(3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - 18.14. Let q = y + 17.45. What is q rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/287, 0.4, -1 in ascending order.\nAnswer: -1, -5\/287, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644731245 to the power of 1\/2, to the nearest integer?\nAnswer: 60372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43301 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.3 + 0.7. Let o = -56 - -61. Put -0.5, o, k in descending order.\nAnswer: o, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005742 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 8*w - 4. Let x be l(8). Let d(c) = -c**2 - 6*c - 6. Let u be d(x). Let o = 541 - 536. Solve -a = -u + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -1590164\nAnswer: -15\/1590164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*p = 274, -50 = -2*i + i + 3*p. Suppose 19*f - i = 5*f. Suppose 2*k = -f + 34. Calculate the remainder when 59 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7320*m - 168087. What is r(23)?\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16130 - -4?\nAnswer: -16124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y. Suppose 6*f = 2*f + 12. Let s be w(f). Suppose -6*i + i = -4*u - 64, -2*i + 24 = -2*u. Calculate the greatest common divisor of i and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1641145 or 80416122\/49?\nAnswer: 1641145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4 + sqrt(468) + 2)*4)**2.\nAnswer: -384*sqrt(13) + 7548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 34, -1\/253, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1087*g**2 - 9. Let c(r) = -9*r + 2. Give s(c(z)).\nAnswer: 88047*z**2 - 39132*z + 4339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5344 = 3*l, -4*n = l - 2493 + 708. List the prime factors of l.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889674949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/530014839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x**2 + 4*x - 14. Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/4))\/k)**(-33))**(-3\/8)\/((k*k*k*k**(-2\/3)*k*k\/((k**2\/k*k)\/k)*k*k)\/(k\/(k*k*k*k**1))**(-1\/4)) assuming k is positive.\nAnswer: k**(-737\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*z - 956*z = 726 + 1824 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmmxmdmxxmdd. What is prob of sequence mm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 5*r - 2 + 0. Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let o(g) = g + 3. Suppose 3*m - 33 = -0*m. Calculate the remainder when m is divided by o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286821\/4 - 143409\/2. Let q = 81 - 321\/4. Factor 1\/4*d**5 - 1\/4*d**3 + 0*d + q*d**2 + 0 - i*d**4.\nAnswer: d**2*(d - 3)*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -4*c, -3*z - 4 + 13 = 2*c. Let o be 3 + (-3)\/(-6)*c. Suppose 0 = g - 3*a - 5, 2*g - o = -2*g - 5*a. Solve -g*r + 3 = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a**2 + 8*a + 1. Let g(u) = -29*u**2 - 9*u. Let w(d) = 5*g(d) + 6*r(d). Let x(m) = m**2 - 5*m - 11. Determine 5*w(p) + 3*x(p).\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 47268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 9*v**2\/2 - 3. Let d(b) = -b**2 + 14*b + 18. Let f be d(15). Let p(c) = -c - 130 + 130 + f*c. Determine p(i(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*n = -2083 - 367 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22221)\/(-6)*(-135 - -141)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*1*-3)\/(4*sqrt(5)*-3).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 65 - -68 - (-7 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, -0.2, 13\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 2390630.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 8*t**2 + 13*t + 3. Let m(p) = 3*p**3 + 16*p**2 - 27*p - 5. Let i(a) = 3*m(a) + 5*x(a). Determine s, given that i(s) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/389?\nAnswer: -8\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*f + 4*u - 9, 2*u = 4*f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0*z)**(-22))**(2\/13) assuming z is positive.\nAnswer: z**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2854 + 841?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 16, -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4\/9 + 23212*s**3 - 1212153820*s**2\/3 + 21090259299812*s\/9 + 42224171180248\/3 = 0. Calculate s.\nAnswer: -6, 17411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/24146 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 820 - 9014\/11. Let a be 21\/6 + (-1)\/(-2). Suppose 0 = g + a*g. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9012 and -221.8.\nAnswer: -1998861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986257563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145776062 divided by -1.\nAnswer: -145776062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose 0 = -2*m + 4*o + 24, -q*m = -3*o - 25 + 2. Let d(x) = -2*x - 2*x + m + x**2 - 2*x**2. Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13442 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/3 - 2*c**2 + 4*c. Factor v(r).\nAnswer: 4*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*x = -222*x - 63 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1301 + 65*i**3 - 2608 + 1307.\nAnswer: 65*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 67. Is 3 a factor of (-100)\/j + 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.6189 centuries to decades.\nAnswer: 6706.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = -8*j + 17*j + 43900. What are the prime factors of j?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-624)\/11310)\/((-56)\/(-7)))\/((-3)\/(-20)*2)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5631633 milliseconds in microseconds?\nAnswer: 563.1633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 316751*i**3*k - 2*i**2 - 6*i*k - 1479931*k wrt i?\nAnswer: 950253*i**2*k - 4*i - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82459 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1975216, 1975215, 1975214, 1975213, 1975212?\n\"Answer: -m + 1975217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 52*p - 15. Let k be x(-11). Let m = 456 - 316. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228 + 221 + -7 + 10 - (-2 + 26 - -1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14422?\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:42 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8663.16 + -8663. What is the closest to -0.1 in 0.4, f, 1, 5\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -24, -1, -1\/10, -6\/31, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -24 - 15 - (0 + 11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-28)*38 - (-3)\/(-7). Suppose 50 = o*m + 5*m. Solve -y = -m, -v = 3*y - y - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15655.\nAnswer: 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 71 = -326. Let y be 4\/(-6) - r\/9. Suppose -4*x = w - 76 + 15, -y*x + 45 = -5*w. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(468)*-3 - ((5 + sqrt(468) - sqrt(13)) + -5))*1.\nAnswer: 103*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.125 + 2. Round v to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10*25\/30. Let y = w - 1\/30. What is the smallest value in 5, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = -5*u, -2*u + 4 = -m - 5*u. Solve -2 = -0*n + m*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -3953.\nAnswer: -3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 - 2*x**2 - 3*x + 3. Let b be f(2). Calculate the highest common factor of b and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.406 + 0.006. Suppose 2*o = -y - 1, o + y + y = 4. What is the closest to -2 in o, i, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) -1323\/5 (c) -1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Find the third derivative of -f**4 - 5*f**2 + 7*f**2 + 3*f**2 + f**b wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/212 and 15\/742.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 30 = -0*q + 3*q, 0 = 5*j - 4*q + 65. Let g = 100 + -102. What is the third smallest value in 3, j, -1\/6, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 107, -2, -4, -3 in descending order.\nAnswer: 107, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356 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: Solve -o = 7*u + 14*o - 210, -5*o + 59 + 10 = -5*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1\/2*a**2 + a + 1\/3*a**3 + 5. Let c be s(2). Calculate the greatest common divisor of 33 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f**5 - 557398404*f**4 - 1592566986*f**3 - 1433310324*f**2 - 318513411*f + 79628352 = 0.\nAnswer: -1, 1\/7, 26542784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25145634.\nAnswer: 2, 3, 991, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -922, -1805, -2688, -3571?\nAnswer: -4454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1594670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:34 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1382*k**3 - k**4 + 237*k**3 + 0*k**4 - 392*k**3 - 1564*k**3 + k in the form b*k**2 + x + u*k + q*k**3 + j*k**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**3 - 6*i**2 + 4*i + 4. Let l(m) = -11*m**3 - 11*m**2 + 7*m + 7. Let j = 43 + -45. Let d be (-2 - -1)*(j + 6). Give d*l(a) + 7*t(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111000011111010 - 0?\nAnswer: 10110111000011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32390, -132565, -299524, -533267, -833794, -1201105, -1635200?\nAnswer: -2136079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/(-440))\/((-66)\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from nubtr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k + (-2 + 5 - 2)*(-2 + 2*k + 2))*(-4 + 4 + k**2)*(-6 + 4 - 3)*(-2*k + 2*k + 3*k).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 18 = 0, -42155 = v - 6*v - 5*j. What are the prime factors of v?\nAnswer: 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + 5*r - 3. Suppose -w + 5*c = -12 - 3, -5*w + 29 = -2*c. Calculate the smallest common multiple of i(-4) and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(847) - (-5 + -1 + sqrt(847))**2) + (2 + sqrt(847) + sqrt(847)*-1 + -4)**2).\nAnswer: -1762 + 286*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 23 + 111 = -194 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35593 - -32842. Is j != -2747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543 + 599. What is the greatest common divisor of n and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 230*d + 7. Let j(x) = -197*x - 6. Let l(u) = -7*j(u) - 6*w(u). Let p(v) = -v**2 + 3*v. What is -6*l(m) - 2*p(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 39*v**2 + 1. Suppose -20 = -5*w + 3*m, w + 21 = 2*w - 4*m. Suppose 3*o = 2*o + w. Let k be q(o). What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2827 + -2811. Solve 11*s - 8*s + 4*w = g, s - 4*w + 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0 + 23*s + 13\/2*s**2 - 9\/2*s**3. What is the first derivative of y(w) wrt w?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, 2, -10, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18 (b) -0.05 (c) 0.4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388422287 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109252, -436781, -982662, -1746895?\nAnswer: -2729480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16065071 is divided by 4444?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.114 - -43.114. Let t = -34 + n. Let y = t + -9.00000227. What is y rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2*k + k + 2*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -11*z + 2*t, t - 708 = -704 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380004368*o - 380004358*o - 11*o**2 + 6*o**2.\nAnswer: -5*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -108*m + 15*m + 1830 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9686 is divided by 3175.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(2125\/(-34))*1\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v + 3. Let z be p(4). Suppose z*g - 88 = 7*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15743634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*y + 496, 717 + 269 = 4*l - y. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408704 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 4*q)*(12*q**3 - 5*q**3 - 2*q**3) - 3*q**3 - 3*q**4 + 3*q**3.\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10970, 1, -17, 2\/13, -4\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.37 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 179286 at most 3406418\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 2\/((-28)\/21).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 448, 479, 524, 589, 680?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 8*w - 17*w. Let t(f) = 2*f**3 + f**2 - 7*f + 35. Let m be t(w). Let d = 11661 - m. What is d rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 779973393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092*f - 1099 = 1935*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111101000101 (base 2) to base 5.\nAnswer: 341401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 11*l - 13. Let p be b(-7). Suppose 0 = w + w + 2*r - p, 5*w = r + 44. Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 246*f - 474. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 0*b = -91*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -18*j - 87. Let u be a(-6). Find the second derivative of -3*d + d + 2*d**2 - u*d**2 + 95*d**2 + 2 wrt d.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -454 + 440. What is the nearest to 2\/3 in 5, v, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4837 + 4858. Solve -2*w = 2*v - 2, 17 = -3*v - n*w + 23*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqa when three letters picked without replacement from {q: 1, f: 1, g: 2, a: 3, b: 12}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 5265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 7 (c) 2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 356*f**2 - f + 4. Let l(d) = -2*d**2 + 1. Calculate 2*l(p) - x(p).\nAnswer: -360*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**8\/420 + l**7\/210 - l**4 - 16*l. Let f(p) be the third derivative of k(p). Find the third derivative of f(s) wrt s.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 94 = -5*h - 20, -2*h = w - 32. Let p = h + -17. Let l be p - (0 - (-16104 + 3)). What is l rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.08 (b) -0.1 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y**2. Let l(v) = -13*v + 1. Let z be l(1). Let o(h) = h + 12. Let r be o(z). Let i(c) = c + c - c + c + r. Calculate n(i(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -136*h**3 - 3*h**2 + 12. Let s(a) = -272*a**3 - 6*a**2 + a + 22. Let u(j) = 11*r(j) - 6*s(j). Find the third derivative of u(f) wrt f.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, -1, -14, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 13886 = -3377. Suppose 0 = 2*t + 4*z - 256, 5*t + 3*z - 6*z = 575. Calculate the remainder when t is divided by 10057\/x - (-1)\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003000297 to 7 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*t + 67*t + 6. What is the remainder when 35 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/12261 and -29\/1407.\nAnswer: 85827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/8 + 21\/28. Let y be (-568)\/(-28) + (-4)\/x. Is 17 a factor of (-308)\/(-10) - (-4)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1069 = -5*a - 3*k, 358 = 4*a + k - 500. Calculate the greatest common factor of 387 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264115.\nAnswer: 5, 647, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -326, -483, -640, -797, -954?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*p + 11*p + 4*p - 7*p in the form o + c*p and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Let n(o) be the first derivative of o**4\/4 - o**3\/3 - o**2 - 3*o - 1. Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(21*q + 67*q - 7*q).\nAnswer: -243*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6674677, 6674784, 6674961, 6675208?\nAnswer: 6675525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1526\/382 - 4). Let o = 498 - q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13735.4 and 4020.\nAnswer: -55216308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 - 3*q. Suppose 5*z = -24*z + 638. Calculate the remainder when g(-3) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 2. Let c be f(0). Suppose -5*n + 4*p = 16, c*n + 6*p = 4*p + 8. Suppose 0 = 5*x - n*x - 20. Solve -x = 4*y + 4*v, -3*y + 7 = -5*v - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618692592 to the power of 1\/2, to the nearest integer?\nAnswer: 24874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -39, -93, -173, -285?\n\"Answer: -p**3 - 4*p**2 - 15*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 27*j - 15. Let g(x) = 7*x - 4. Let b be (-10*(-3)\/(-2))\/1. Let l(a) = b*g(a) + 4*i(a). Let f(t) = -t. Calculate l(f(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7995\/78)\/41*72\/(-45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:07 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 33 - (12 + 65).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075076 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 147 + 7*c + 90.\nAnswer: 7*c - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -11 - 17 - 25 - (-2 + -3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -800 in 0, 11, 14, -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 11*x - 18. Let r be w(9). Let v(c) = c - 5 + 4*c + 11*c**2 - 4*c + r*c**2 - c**3. Calculate the remainder when v(10) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u**3 - 96*u**2 + 60*u + 48 = 0 for u.\nAnswer: -4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + l**2 + 3*l**2)*(2 + 0 + 0)*(-8*l + l + 11*l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -14 - (18 + -2 - 35).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39390524357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:12 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 380656.6 days?\nAnswer: 32888730240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**3 + v**3 + 0*v**3)*(-39 - 23 + 53) + v**3 + 0*v**3 + 2*v**2 + 0*v**3 as u*v**2 + g*v + w + d*v**3 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c**(1\/12))**(4\/15) assuming c is positive.\nAnswer: c**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-15)*(b\/((b*b**2)\/b))**(1\/36)*b*b**(-2\/7)*b\/(b\/(b**(-2\/5)\/b))*(b*b**(-1\/3))**(4\/5) assuming b is positive.\nAnswer: b**(-227\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 373*d**2 + 175*d + 2311. Give l(187).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose 3*t - 4*t + 75 = k*s, -s + 9 = -3*t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (3 - (9 - (-16 - -18))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-26)*(-4)\/66*2. What is the smallest value in u, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 92495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 4*h + g - 224, -44*h - 5*g + 126 = -3*g - 4*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(1584) + (-2 + sqrt(1584))*6 + sqrt(1584))*-2*-1.\nAnswer: -192*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144555.\nAnswer: 3, 5, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(-25)*(-40)\/(-6). Let d = b - -17. What is the least common multiple of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -1\/5 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-55)\/15 - 2\/6. Let f = v + 6. Suppose 4 = -k + o, 4 = 2*k - 4*k - f*o. Let r(j) = -j**2 - 3*j. Calculate r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 7:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9199 = -23*j - 9659 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 73*x**2 - 4*x + 1. Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -y - 6, -3*y + 1 + 3 = 5*p. Let o be (-128)\/(-112)*294\/(-28). Sort 5, o, 4, y.\nAnswer: o, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-3))\/((6\/9)\/1). Let j = 0 - m. Let a(x) = -x**2 + 5*x + 7. Determine a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44596993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1353 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10773 = 37*a - 89322 - 1157683. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.12004\nAnswer: 1.08036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 136 = d. Let o = d + 33. Let m = -30 - -44. Calculate the lowest common multiple of o and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 919*o**3*x**3 - 328*o**3 - 366*o**2*x**4 + 2*o**2*x**2 + 2*o*x**3 - 960*x**2 wrt x?\nAnswer: 5514*o**3 - 8784*o**2*x + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4488 is divided by 183.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 12*h**2 - 30*h - 200 = 0. What is h?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*k + 5921 = 1194*k for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1954*-17946\nAnswer: -3506.6484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 202. Suppose -o = -5*d + 119. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51808601*k**4 - 13198*k - 615?\nAnswer: 621703212*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*n**3 - 4*n - 171*n**3 + 4*n.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/84 - 14\/49 - 0.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45141831489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3601990 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-7 - -11) + 1*-7. Put n, 0, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-325)\/20))\/((-42)\/273).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 smaller than 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 - 466 = -9*y. Let u be (-2 + y)*(-476)\/(-51). What is the greatest common divisor of u and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -184, -367, -538, -691, -820?\n\"Answer: t**3 - 190*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let y(v) = -3*v. Let c(s) = -3*y(s) - 4*z(s). Let g be c(5). Solve 5*m + g*q = 50, 0*m - m - 10 = -3*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/12 - 8*t**3\/3 - 3*t**2. List the prime factors of x(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**5 + x**4 + 232406*x**2 - 8363*x + 171.\nAnswer: 20*x**3 + 12*x**2 + 464812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -114. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**8\/1176 - j**7\/245 - j**6\/140 - j**5\/210 - 2*j**2 + 3*j. Let a(h) be the first derivative of c(h). Factor a(f).\nAnswer: -2*f**2*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 = 0, -5*s - 3*v + 11 + 18 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -i, -5*i + 3*x - 2*x = -9. Let u(b) be the first derivative of -b**2 - 3*b + 3. Let l be u(-2). Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 13. Suppose -2*k + 88 + 36 = c. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*h - 114 = 0, p + h - 23 = -3*h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 11*h - 2475 = 0. Calculate the remainder when h is divided by 51.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/25)\/(7\/(35\/(-6))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -19. Let m be ((-9)\/i + 3)\/((-12)\/8). Let u be 2 + (-2 - (-1)\/(-1)). Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 14. Let i be r(-6). Let c(p) = -p**3 + 3*p**2 + p - 3. Let n be c(3). Suppose i*j + 8 - 72 = n. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004052 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2027759, 2027767, 2027775?\n\"Answer: 8*a + 2027751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p*p)\/(p\/p**(-12))*p*p**10*p\/(p*p\/((p**(-1\/8)*p)\/p)*p) assuming p is positive.\nAnswer: p**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-5)\/15). Put a, -5, 2 in ascending order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffffcfc. Give prob of picking 3 f.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1050 divide 49554345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 + 3*k**4 + 3*k**3 - 7*k**2 - 6*k = 0. Calculate k.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 - m**3)*(0 + 80*m - 19*m + 2) - 55*m - 15*m**4 + 55*m.\nAnswer: -137*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 - 276. Suppose 0 = -g*c + 13358 - 3713. What are the prime factors of c?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42415864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 13099*j**4\/12 - 7480*j**3\/3 - j - 752. What is the second derivative of t(r) wrt r?\nAnswer: 26198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -94. Let p be 3 + 4\/((-8)\/x). Let w = p + -29. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. What is the nearest to 1\/3 in -2\/19, o, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3.7, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 252 - 87 = 0. Let z(n) = -n**2 - 4*n - 5. Let u be z(-6). Let s = w + u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - u**3 - 3*u**3)*(2 + 2*u - 2) + 641 - 3*u**4 + 416*u**2 + 413*u**2 - 831*u**2.\nAnswer: -5*u**4 - 2*u**2 + 641","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*l, -t = -2*l - 1864 - 10641. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.279?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5773978?\nAnswer: 2, 7, 83, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1585)\/951)\/(-5*(-1)\/33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 0*g**4 + 3*g**4)*(-3*g + 3*g + 2*g) + (g**3 - g**3 - g**3)*(4*g - 2*g + g)*(-g + 11*g + 2*g).\nAnswer: -34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let n = -17 - -14. Let h be b(n). Let p be (-8)\/(-84)*6\/h. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 149 - 139 - (1 + 3 + 1). Let a be (-8 + s\/1)*20\/(-6). Suppose -z + 4 = 3. Solve 0*k + 5*k + h = -a, 2*k + z = -h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -2453 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -1156, -3942, -9402, -18436, -31944, -50826, -75982?\nAnswer: -108312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 92, 156, 232, 320, 420, 532?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 590\/7 >= 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 82 = 3*d + 430, 4*r - 2*d = 472. Suppose r = 10*i - 14*i. Let t = i + 83. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 1 + 1 + 1 - 3*g. Suppose 2*s = 4*r - 4, 4*r + 2*s - 3 = 1. Give o(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 1. Let n(s) = s**3 + 3*s**2 + 2*s + 3. Let r be n(-2). Let p(b) = 52*b - 9*b - 17*b - 15*b - 13*b. Give r*k(y) + 2*p(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:21 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:45 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - 194*o - 10. Let s(t) = -t**2 - 39*t - 2. Let j(l) = -3*n(l) + 14*s(l). Let x be j(18). Solve 3*y = -1 - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*y + 3. Let q be -1*(2 - (4 + -1)). Let p be -5*(q - (2 + 0)). Solve -13 = -p*r + 3*t - y, 0 = -5*t - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*x = 6*x + 4, 3*x - 9 = -3*d. Let t(m) = -m + 3. Let p be t(0). Suppose g = 1 + p. Solve g*q = -6 + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8180060 and -167\/103110.\nAnswer: 24540180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 42 = 24. Suppose -80 = 23*t - q*t. Let m(u) = u + 2. Let b(c) = 2*c + 4. What is t*b(w) + 9*m(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 254, 238, 196, 116?\n\"Answer: -2*l**3 + 5*l**2 - 3*l + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqjbqbqbl. What is prob of picking 3 b and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 10*b + 19. Let d(p) = 5*p**2 - 2*p - p**2 + 4*p - 3*p**2. Let n be d(-4). Calculate the remainder when j(n) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -574*g + 348*g - 100*g as x*g + t and give x.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 70. Suppose -o*p + 37 = -4*b, -b + 3 = 2*p - 4. Solve 4*w - 8 = -p*t - 2, -5*t = w + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163973671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-90))\/((-2)\/(-30)). Sort 5, -1, -103, m in descending order.\nAnswer: 5, m, -1, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.55 + -16.75. Sort -7, -0.18, z.\nAnswer: -7, z, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (70*(-19)\/(-2))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let l(j) = 10*j + 4*j**2 - 10*j + j**2. What is m(l(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r - 5. Let k be t(-7). What is the greatest common factor of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j - 12. Let h be b(-2). Solve -h*w + 5*w - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*h**2*k**3*l**3*q - 2*h**2*l*q - 10*h*l**3*q**2 - 149*k**3*l + 2*k**2*l**2*q**2 - 2*k**2*l**2*q wrt l.\nAnswer: 1530*h**2*k**3*q - 60*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(36)*6).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22 - 11159134*n + 4*n**2 + 2*n**2 + 11159124*n. Let w(b) = -2*b**2 + 3*b + 7. Give 5*k(s) + 16*w(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6*(b*b\/(b\/(b**(-2\/7)*b*b)))\/b*b)**(3\/2))**(-21) assuming b is positive.\nAnswer: b**(-549\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 64*d\/3 + 170.\nAnswer: 2*(d + 15)*(d + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 299*x - 4491. Calculate n(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*t**2 + 315*t**2 + 152*t**2)*(5*t - 3*t - 3*t + 0 + 0 - t + (-1 - 3 + 2)*(-t + 2*t - 3*t) + t - t - t + 14 + 8*t - 14).\nAnswer: 6552*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)\/(m*m*m**(1\/7)*m))\/(m**(-9)\/m**(-7\/6)) assuming m is positive.\nAnswer: m**(-475\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.3, 20, -2, -93?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-4829.252\nAnswer: -241.4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 287\/8. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 8*g**2 + 3*g - 5. Let b be 591\/9 - (-2)\/6. Suppose 26 = -5*z + b. List the prime factors of f(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3\/2*l**2 - 2*l - 1. Let z(s) = -6*s + 4. Determine 7*p(t) + 3*z(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.291*45.\nAnswer: 13.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gepe when four letters picked without replacement from {g: 5, p: 3, e: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 3393.37?\nAnswer: 3393.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 622465681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Suppose -n*h + 36 = -72. Let b be h\/12 - (-1)\/(-4). Solve x - 3 = b*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882223179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*r + 125 - 12 = 0, -3*r + 78 = -3*c. Let n = -22 - c. Let o = 8 - 0. Calculate the remainder when o is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -68, -75, -82, -89, -96?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 + 11*a - 46*a + 10 + 17*a + 7*a. Let m be o(1). Solve -5*c + 5*f = 15, -4*f + f - m = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 36 - 1042*w**3 + 1100*w**3 + 23.\nAnswer: 58*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.76 or -118208?\nAnswer: -118208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*n - 3*b = 192*n - 24, 36 = -3*n + 2*b + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3391*s - 33011 = -256817 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3059\/6118)\/(4\/(-26))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 48*o + 720. What is c(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1079271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 2*i + 68, -2*i = -2*m - 4395 + 4347 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, m: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2 + 595*h + 61074.\nAnswer: -(h - 162)*(6*h + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*-3*(34\/3 + -3). Let w be 515\/s + 4 + -1. What is the second smallest value in 5, -0.4, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 30 = -16*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1722 - -6921\/4. Find the common denominator of 41\/2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g**2)**(-21\/4)\/((g*g*g*g**0\/g*g*g*g)**43)**(-9\/8) assuming g is positive.\nAnswer: g**(6085\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2167 - 163.\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(-1 + -1*(sqrt(192) + -2*sqrt(192)) + sqrt(192)))**2 + -3.\nAnswer: -512*sqrt(3) + 12301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 8976 = -3*z. Suppose -l - 5*u + 945 = 4*l, -5*u + z = 3*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(273\/(-14)))\/(4\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1048 = 2*z, 733 + 1388 = 4*z + 3*n. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 74*f + 31. Let g(u) = -6*u**2 + 149*u - 63. Let j(o) = 4*g(o) + 7*n(o). Let r be j(-20). Solve h - 3*k + r = -3, -k + 7 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576886?\nAnswer: 2, 23, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 15. Let o be k(15). Suppose o = 15*h - 18*h + 81. Let f = h + 8. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose 0 = -l*a + 4*a + 3*i - 35, 4*a - 36 = -4*i. What is the remainder when 14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 426 + -301. Suppose 0 = -70*o + 127*o - 3192. What is the remainder when a is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 14. Suppose 2*l - 45 = 5*y, 2*y + 5*l = 4*l - 18. Let t be q(y). Suppose 2*g - m = 5, -t*g - m - 3*m - 7 = 0. Do g and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959078?\nAnswer: 2, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/110931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -138, -523, -1284, -2547, -4438?\nAnswer: -7083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144258 <= 144260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = 5*b. Let a be -1 + b - -1*2. Suppose 5*s = 4*r + 7, a*r = -s - r + 9. Let f(y) = y**3 - 2*y**2 - 3*y + 1. Determine f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8364 and 18842370?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = 5. Let j be 11653\/n + 2\/5. Is ((-2)\/(-3))\/(6\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.223331 minutes in hours?\nAnswer: 0.02038885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185762460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2633229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Suppose 0 = 4*b - y - 8, b + 2*y + l = 4*b. Suppose h - b = 4*c, 2*c - 6*c = 5*h - 10. Solve -2*j = w + 2*j - 17, c = -4*j + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1201992*k**5 + k**4 + 83*k**2 - 81198*k?\nAnswer: -72119520*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 638871595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12649)\/(-39) - (-2)\/(-6). Suppose -2*n - 468 = -3*i + n, -5*n - z = -2*i. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:37 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**5 - 183*v**4 + 2*v**2 - 18199*v?\nAnswer: -60*v**3 - 2196*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*n - 6 = -0*n, -5*n = -3*l + 13. Let s(a) = -9*a**3 + 2*a**2 - a. Determine s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 + -8)*-1)\/2. Suppose -8*u = -d*u. Suppose -j = -u*j - 13. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 14*g + 30 = 0. Sort g, 1, 2 in descending order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -293, -1187, -2677, -4763, -7445, -10723?\n\"Answer: -298*h**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (392\/(-84))\/(8\/84)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - o - 7 = 0, 3*g + 3*o - 5 = -g. Sort g, 77, -5 in increasing order.\nAnswer: -5, g, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-32)\/6)\/(-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08869819853 to four decimal places.\nAnswer: 0.0887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -303375526 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + 4 + -4 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cch when three letters picked without replacement from hxcxhhcccxxxcxxxc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-27)*108\/270?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202 and 1111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 + 3365 = 125*c. Solve -22 = 7*s - c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = m + 7 - 39, -4 = -2*d + 4*m. What is the third derivative of 6*n**2 - n**2 - d*n**2 + 40*n**3 - 21 wrt n?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 times -4?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -59. Let u = 30 + f. Suppose 6*n = 26 - 20. What is the closest to 3 in -2, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*j**2 + 38*j**2 + 35*j**2 + 44*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -675*h. Let l(q) = -2*q. What is l(i(z))?\nAnswer: 1350*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41173 is divided by 571.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5980*v - 330 = -5965*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/5)\/(-10)*1\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -163, -381, -745, -1255, -1911, -2713?\n\"Answer: -73*h**2 + h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-195)*11960\/(-120)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 + 221*y**3\/3 + 3869*y - 3839. Differentiate g(n) with respect to n.\nAnswer: 3*n**2 + 442*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 85. Let t be v(85). Suppose 6*h - 3*h - 12 = 0. Factor 4\/5*d**h + 0*d + t + 6\/5*d**3 + 2\/5*d**2.\nAnswer: 2*d**2*(d + 1)*(2*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*2705\/35 + 9 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376.2 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-40) - (-27)\/(-135).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -38, -51, -64, -77, -90?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1298390*w**3 + 2598159*w**3 - 1296253*w**3.\nAnswer: 3516*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7163452909 to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + -2.1. Let z = 331 + -331.3. Sort 1\/3, z, -3, u in descending order.\nAnswer: 1\/3, z, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzeeeieei. Give prob of picking 1 w and 1 e.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 95*p - 602. Let n be o(-6). Solve 5*w = n*d - 32, -3*d + 4*w = 5*w - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 12. Let x be (-4)\/10 + (-142)\/l. Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*y - 3*y + 4 = 0, -5*q + 2*y = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 7 - 7)*(2*u**2 - 3*u**2 - 2*u**2) + (6*u - 6*u - 2*u**2)*(2*u + 2*u - 2*u).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/5 + 42*n\/5 + 57 = 0.\nAnswer: -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) + (-22)\/(-4). Let q(j) = v + 4*j**3 + 5*j**2 + 7*j - 3*j**3 + j**2 - j**2. Suppose -b = 3*w - 5*w - 4, b + 4*w + 20 = 0. What is q(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*j - 5*k = 87*j + 51816, -2*j = -4*k - 25908. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1. Let b(m) = -5*m - 15. Let p(o) = b(o) + 15*w(o). Let j(r) be the first derivative of -r**2 + 40. Determine p(j(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20110 (base 3) to base 9\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/11, -5, -13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8833359, -8833358, -8833357, -8833356, -8833355, -8833354?\nAnswer: -8833353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(77) + (sqrt(77)*-2 - sqrt(77)))*6)\/((-6*(sqrt(252) - sqrt(28)))\/(sqrt(4) - (sqrt(20) + -1*sqrt(20))\/sqrt(5))).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -821 or -2462\/3?\nAnswer: -821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 8 + -28 - -28) + 0 + -80.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.01, 4\/9, -3\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/24380 and 11\/4575.\nAnswer: 22307700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:17 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**12*c*c*c\/(c*c**(3\/7))*((c**(-25)\/c)\/c)\/(c**(-21)\/c*c) assuming c is positive.\nAnswer: c**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 282 = -5*y, -2*y + 222 = 10*x - 7*x. Solve 0 = 67*v - x*v - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0327*-6.\nAnswer: -0.1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/626760 and -7\/8.\nAnswer: 626760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/(-294))\/(6\/(-7)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1474)\/6 - 2)*-15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/7, 14\/27, 98?\nAnswer: 14\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-1 + 1 + 1)*(-303*v + 142*v + 1220 + 163*v).\nAnswer: -4*v - 2440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and -89\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569*n**2 - 2 - 3788*n**2 - 3865*n**2 + 571*n**2.\nAnswer: -5513*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23241.01 litres in millilitres?\nAnswer: 23241010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d + 55. Let j = -77 - -83. Let c be y(j). Let p(s) = -s. Let x(u) = 2*u. What is c*x(v) - 3*p(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66583, -66376, -65819, -64738, -62959, -60308, -56611?\nAnswer: -51694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131332, 131325, 131306, 131269, 131208, 131117, 130990?\n\"Answer: -k**3 + 131333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58760 - 58786.981. Let h = u + 27. Let g = 1.009 - h. What is g rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p - 0*p. Let j(g) = -2*g**3 + 11*g**2 - 5*g + 4. Let k be j(5). Suppose -k*q = -0*q - 88. Calculate the least common multiple of q and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 132 = 84. Let u = 32 - m. Let l be (26\/(-4) - -2)\/(2\/u). Calculate the greatest common divisor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00343103857 to 6 dps.\nAnswer: 0.003431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - 5) + 4 + 3 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 522 = -42*h. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)\/t*t\/(t\/(((t*t\/(t**(7\/5)\/t))\/t)\/t)))**(-26) assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 35. Let k = g + -8. Is -2\/87 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {k: 2, a: 4, v: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcfj when four letters picked without replacement from {f: 3, c: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-900)\/(-80))\/45)\/(10\/(-48)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 9. Let r be p(-6). Let k(c) = -3*c - 201. Let z(o) = o + 121. Let a(v) = 3*k(v) + 5*z(v). Give a(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3937.0000006868 + -3937. What is z rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -3. Suppose c - 10 = -2*k + 4*c, -y*k + 12 = -c. Factor v**k + v**2 - 12 + 10.\nAnswer: 2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxefefef. What is prob of sequence efff?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - 105 - (-1 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 85*b**2 + 14*b - 7. Let t(u) = 43*u**2 + 6*u - 3. Determine 14*t(z) - 6*v(z).\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*o**2 + 23*o**3 - 27*o - 8*o**2 - 5*o**2 wrt o?\nAnswer: 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1845222618 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2. Let s be a(3). Suppose 100 = s*d - 2*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f - f**4 - 1 + 2*f**4 + f**4 to u + w*f**2 + z*f**4 + c*f**3 + a*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a718a8b + 3?\nAnswer: a718a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**4 + 5*f**3 + 16*f**2 + 4*f.\nAnswer: -f*(f - 2)*(f + 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.1 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*d**3*t**2 - 5*d**3 - 2*d*t - 43*t**2 - 10*t wrt d.\nAnswer: -315*d**2*t**2 - 15*d**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 10.2, -4\/7 in increasing order.\nAnswer: -4\/7, 10.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2195.38 - -2200.38. Let y = 2.4 + -0.4. What is the third smallest value in z, y, 0.01?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -806 + 2?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24*-3*-2*(-12)\/(-27)*-342.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 14*x - 108. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2244, 2243, 2242?\n\"Answer: -z + 2245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4990289367 and -0.4.\nAnswer: -4990289367.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 596 - 120. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 0 + 20 + (-13 - 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605) + 0 + sqrt(605)*3*-2)**2.\nAnswer: -110*sqrt(5) + 15126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-2040)\/(-15))*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzs when three letters picked without replacement from {e: 3, s: 4, k: 3, o: 1, u: 3, z: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(2\/33)\/y*y)*y**(-20\/9)*(y**(-27))**(28\/9) assuming y is positive.\nAnswer: y**(-8443\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -6.1. Suppose -82*o - 8 = -86*o. Suppose 5*u - 5*c - 8 = u, 0 = -u - o*c - 11. Sort 0.4, g, u in descending order.\nAnswer: g, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400080.15 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177463435 or -709853735\/4?\nAnswer: -709853735\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(684) + (4*sqrt(684) + 4 - sqrt(684)))*4 + 1 + (0 + sqrt(684) - sqrt(684)) + 0)**2.\nAnswer: 3264*sqrt(19) + 175391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 5, c: 7}. What is prob of sequence bbaa?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 214*r**4 - 5176*r**3 - 90018*r**2 - 67140*r + 1134000 = 0. Calculate r.\nAnswer: -1050\/107, -5, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -13 (b) -3.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131123 minus -0.3?\nAnswer: 131123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 - 0.15. What is the closest to 1\/2 in 2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrerer. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 15 in descending order.\nAnswer: 15, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2473.27 - 2473. Is -20 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 - 4.1. Sort -6, u, 0.3 in decreasing order.\nAnswer: u, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvcvvvwv. What is prob of sequence cwvv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:18 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 4*i**4 - 52*i**3 + 112*i**2 - 94*i + 28 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + 2*j + 4. Let g(b) be the first derivative of 49*b**3\/3 + 805. Determine m(g(a)).\nAnswer: -2401*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 9 + 525\/(-70)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/i**(-4)*(i**(1\/5)*i)\/i**(-2) assuming i is positive.\nAnswer: i**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1329, -1663, -2157, -2811?\n\"Answer: -80*l**2 - 94*l - 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*2*(sqrt(684) + -1*sqrt(684)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*m + 2*j, -4*j = -2*m + 4 + 56. Solve -m = 4*w - 2*i, -4*i = w - 5*i + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kemjaeh. Give prob of sequence jme.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - b. Let c(g) = g**3 + 6*g**2 - 7*g - 33. Let y be c(-6). Suppose 0*f = y*f - 18. Calculate s(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 4*u**2 - 26*u**3 - 3*u**2.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16075, 32146, 48215, 64282?\n\"Answer: -u**2 + 16074*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((((-16)\/(-1))\/4)\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 2, -1, 0.4.\nAnswer: -1.8, -1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 334 and 228?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/128 and -93\/425716?\nAnswer: 13622912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-9)\/(-2). Suppose 0 = 2*b + 2 - 14. Let w = b - r. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85275714, 170551423, 255827132, 341102841, 426378550?\nAnswer: 511654259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -193, 3.\nAnswer: -193, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9449068 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c**5\/4 - 7*c**3\/3 + 92*c**2 - 61*c - 3. What is the first derivative of j(x) wrt x?\nAnswer: -45*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 13 = -3*d, 4*d = 3*l + 80 - 81 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2\/3, -2, 4.\nAnswer: -37, -2, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193 - -5?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13527713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -12. List the prime factors of (46\/(-8))\/(r\/(-44)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -19\/5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 724 divided by -128\nAnswer: -181\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*v + 731, 0*a + 11*v - 325 = -2*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33886355.\nAnswer: 5, 17, 29, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2410012314 (base 5) to base 6.\nAnswer: 314524230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:32 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-21))\/(-2*2\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4338)\/(-45) + (-6)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71420.89nm to millimeters.\nAnswer: 0.07142089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959 = f + 956. Does 38 divide (-190)\/f*216\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17544598447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3069528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1715)\/(-294))\/(30\/144).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 33 = 3. Let u be (-32)\/(-14) - b\/(-14). Suppose 5*n - 471 = 4*h, u*n + 86 = h + 275. Calculate the highest common divisor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -28*j + 30*j + 12, -279*c = -2*j - 4460 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -303*d - 211*d - 46*d - 347*d in the form t*d + c and give t.\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 2*k - 2*s, 4*k + 2*s - 12 = 0. Suppose 0 = -k*m + 5*m - 3. Solve 2 + m = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 794559010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -66, -121, -1, 0, 5, 2 in descending order.\nAnswer: 5, 2, 1, 0, -1, -66, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 184*t - 2762. Let w be h(33). Solve 19 = 12*m + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 0.2245\nAnswer: -0.15715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*u**2 - 187*u.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 13) to base 3.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 8. Let r(t) = -t**2 - 3*t + 7. Determine r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-23)\/4. Let z be (-10960)\/(-16437) + (-4)\/t. Let r = -1331425\/230118 + z. Calculate the common denominator of 59\/14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4016 and 27\/68.\nAnswer: 68272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 14*(-58)\/(-884). Let u = 7482\/425 + -346\/25. Let n = u - s. What is the second smallest value in 1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -276818621.\nAnswer: 553637242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 133986?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456\/120 - 2\/(-2) - (-13)\/(260\/(-16))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*h = 374773 + 1310009. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1971698 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 41019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - n - 1. Let i(m) = -m**2 + 2*m + 1. Let q be i(2). Let b be (-1)\/(-3) - ((-55)\/15 + 0). Let z be (q\/3)\/(b\/24). Calculate x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-38)\/(-2))\/(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k + 8. Let u(m) = 99*m - 90. Let a(n) = 45*r(n) + 4*u(n). Let f(p) = -3*p. What is f(a(h))?\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3 + 17404042*x**2 - 22905842*x?\nAnswer: 12*x + 34808084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 733413497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1. Let b(y) = -y + 9. Let p(j) = -b(j) - 5*f(j). Let h be p(3). What is the common denominator of 35\/8 and (-212)\/240 + h\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:25 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((21 - 83) + 30) - 42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 408*v + 6997. What is n(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 2, l: 1}. Give prob of picking 1 l and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.838 and 0.10539985.\nAnswer: 14.94339985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 25672*v + 10268.\nAnswer: (v + 5134)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {s: 8, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put 338, -3, 2, 4, 0 in decreasing order.\nAnswer: 338, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 213.3 + -225.3. Let y = 6 + -6.3. What is the third biggest value in y, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*220\/(-33)*(-63)\/(-36)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91\/3 + 31. Let w be (-2)\/(-5) + 1304\/(-10). Let c be (-2)\/10 + (-46)\/w. What is the closest to l in c, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -48*w + 45. What is the tens digit of r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 3, x: 1}. What is prob of picking 1 a, 2 d, and 1 x?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36863117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2531 - -2522) + 50 + 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 314.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -46. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in -20\/7, 14, 9\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + -10 - 7 - (10 + -27)) + 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110100010000100111110001?\nAnswer: -110100010000100111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 4. Let t = 52 - l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:04 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*l\/(l\/(l\/l**(-2\/13))))\/((l*l**(-2\/11))\/(l\/(l\/(l\/(l\/(l**(-11)*l*l)))))) assuming l is positive.\nAnswer: l**(-2955\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0 (b) 5 (c) 4 (d) -14\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 2067.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14309.\nAnswer: 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231658693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 20*p**2 + 39*p - 27. Let k be y(16). Let v = k + 532. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/(-2)*((-4316048)\/1079016 + 4)). What is c rounded to the nearest one hundred?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kow when three letters picked without replacement from oewewokozkzwkwook?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-2 - (-11)\/5)*-2. Let u(s) be the first derivative of -2 + 2\/15*s**5 + 2\/3*s**3 + 1\/3*s**j + 1\/2*s**4 + 0*s. Factor u(t).\nAnswer: 2*t*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*t**3 - 49*t**3 - 52*t**3 - 14*t**3)*(3 - 4 + 0)*(-9 - 6 - 45).\nAnswer: -9300*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33538 - 10588 = 10*w. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10045\/13 or -773?\nAnswer: -10045\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*s**3 - 5130*a**4*s - 19*a**2*s**2 + 6*a + 6*s**3 + s wrt a?\nAnswer: 48*a*s**3 - 123120*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let f(a) = -a. Let p(s) = -5*f(s) + v(s). Let l(h) = -538*h**2. Give p(l(q)).\nAnswer: -538*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 4, 589, -2\/11, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-492)\/(-8)*2\/3. Let w(d) = n - d - 41. Let h(b) = -2*b**2. What is w(h(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16853096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -22*b + 175184 - 65189, 4*l - 146508 = -4*b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 + 3. Let l be z(5). Suppose -5*s + 0*j = 4*j - 122, 7 = s - 5*j. Let u = s + l. Solve d + u*f + 15 = -3*f, -12 = 3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507010 divided by -253505?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 160*b**2 - 138*b - 378. Let s be c(81). Calculate the greatest common divisor of 486 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -6, 0.036?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -9*g**4\/2 - 8*g**3\/3 + 18. What is the third derivative of o(s) wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62557.27 and 0.14?\nAnswer: 8758.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(77) - sqrt(77)) + sqrt(77))*1 + (sqrt(77) - (1*sqrt(77) + sqrt(77)))*5)\/(sqrt(1584)*-1 + (sqrt(22)*-2)\/sqrt(2)))**2.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -819, -1936, -3295, -4776, -6259?\n\"Answer: 20*s**3 - 301*s**2 + 8*s + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**3 + 8*x**2 - 6*x - 6. Let h(v) = 9*v**3 - 7*v**2 + 5*v + 6. Let o(p) = 3*a(p) + 4*h(p). Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 12. Let m = -7684 + 7675.0016. Let k = h - m. What is k rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 42 = -4 + 82 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*(-15)\/20\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*b = 4*j + 189*b - 95, -121*b + 117*b - 54 = -5*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 223365 = -5*t - 0*q, -223385 = -5*t - 2*q. Suppose -t = 5*j - 10*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69340000 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 5283*g**3 - 97 - 22 - 5285*g**3. Let u(p) = 5*p - 1. Calculate u(w(f)).\nAnswer: -30*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*m + 5*m - 1797, 0 = -5*p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572156?\nAnswer: 2, 3, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c + 3*v, 2*c + 5*v = -8 + 3. Let m be 0 - (-3 + 2)*c. Suppose m*w + 3*w = 45. Solve u - 7 = d, -4*d - 18 - w = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -96*x. Let d(y) = -y - 25. Calculate n(d(u)).\nAnswer: 96*u + 2400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38776*r**3 - 38690*r**3 - 38788*r**3 + 116253*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-72)*(39\/(-65))\/((-6)\/(-3)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 - 2*d + 10 - 4*d**2 + 0*d**2 + 2*d**2. Let w be k(5). Suppose w = c - 13. Calculate the remainder when 149 is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/2 - 260*r**3\/3 + 992*r**2 - 3904*r - 4123. Find h such that i(h) = 0.\nAnswer: 4, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -181.49. Let t = -1.21 - u. Which is the third smallest value? (a) t (b) 4 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v - 52. Let a be n(11). What is the second derivative of -168*p**3 - 169*p**3 + p**5 + 8 + 337*p**a - p + 44*p**4 wrt p?\nAnswer: 20*p**3 + 528*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfn when three letters picked without replacement from {n: 7, f: 3, c: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66499867 to the power of 1\/2, to the nearest integer?\nAnswer: 8155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.2, -0.1, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 1269 = 0. Suppose 0 = -0*v - 3*v + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 38. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*g + 624, -2*g - 831 = 4*a + g. Suppose 0 = k - 2, 0*v + 5*v - 5*k = -40. Is 15 a factor of (a\/46)\/(v\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115851613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 9 = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-324 - 286*j - 328 + 618)*(-1 + 3 - 1) as m*j + u and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/62416 and 35\/124832?\nAnswer: 124832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 6*n**4 + 19*n**4)*(10 + 29 + 1).\nAnswer: 560*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(5 - 5 - 3*v) - 27*v + 9*v - 23*v to h*v + x and give h.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:45 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1989 and -137\/9324.\nAnswer: 2060604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 - 6*n + 3. Let a be z(5). Let o = -1.05 + 1. Let d = o - 0.05. What is the closest to d in a, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 + 0 = -i, 2*i = -4*h - 18. Let m(c) = 28*c + 108. Let u be m(h). Let r(q) = 2*q - 2. Let o(w) = -2*w + 3. Determine u*o(n) - 5*r(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4291.14 to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -89 - 26. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -47, -46, -45?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15357096 and -17.\nAnswer: -261070632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 + 7*s - 5. Let g(n) = 4513*n**2 - 4514*n**2 - 2*n**3 + 3*n**3 + 6*n + 205 - 210. Determine 7*g(o) - 6*r(o).\nAnswer: o**3 - o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 287?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10815 and 273.\nAnswer: 140595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 36663898?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -48, -29, 8, 69, 160, 287, 456?\n\"Answer: u**3 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28ee - -508?\nAnswer: 2e07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 106994 - (2\/(-4))\/((-7)\/(-84)). Round g to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s - s - s**3)*(-10994 + 21641 + s - 11837).\nAnswer: s**5 - 1191*s**4 + 1190*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o**2. Suppose 0 = -2*j + 7*j + 4*k - 91, 5*k + 55 = 5*j. Let x(y) = 39*y - j*y - 15*y - 7*y. Determine a(x(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112210120210 - -1000?\nAnswer: -100112210112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24626934 is divided by 2851?\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.095 and -0.1?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5035.4 to the nearest 10.\nAnswer: -5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -319. Let q = u - 801. Let l = q + 492.207. Round l to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g**2 + g**2 + 4*g**2)*(-3 + 3 + 2*g**2) + (-47*g + 47*g + 5*g**2)*(-3*g + g**2 + 3*g) in the form a*g**3 + d*g + s*g**2 + t + i*g**4 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 5*d + 0 - 6 + 6. Let s(f) = -2*f**2 + 4*f. Determine -5*s(i) - 4*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - 4*a. Let c be b(-4). Let j be ((-3)\/(306\/(-12)) + (-6)\/51)\/1. Suppose c = -j*i - 5*i + 10. Solve v + v = -i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 3*g + 2. Let k be 0 - (5 - 1)\/(-2). Let u be c(k). Suppose 0 = 4*o + 4*b - 8, u*o = o + 3*b + 24. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -480010 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1441017570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -135972205 divided by -37655?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 271*x**2 + 7749*x + 8019 = 0. Calculate x.\nAnswer: -297, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*w - 2*f, 3 = 2*w + f + 2. Let v(y) = -2 - 4*y + 2*y**2 - 2*y + y + 4*y. Let s be v(w). Let a(k) = -k**3 + 5*k**2 - 3*k - 2. What is a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 263.\nAnswer: -6049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13837*i + 301235 + 238408 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = 3*l - 1, 4*l = 3*z + 3. Let b = -128 - -214. Suppose -4*h + 10 = h, 3*w - b = -4*h. What is the remainder when w is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*x**3 - 382*x - 652*x + 354*x - 180*x**3 in the form t*x**3 + i + b*x + o*x**2 and give b.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/500*(-8)\/(-6). Is m not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 677 = 5*n, -3*n + 158 = -5*o - 226. What is the remainder when n is divided by (-405)\/15*-1*3\/3?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqipqpepoooeq. What is prob of sequence copo?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 110*t**2 - 175*t**2 + 71*t**2.\nAnswer: 6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-29*81)\/(-3) + 15*(-1)\/(-3) is divided by 164.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 683*h - 22 = -687*h, -34 = -5*b - 4*h. Solve 3*k - b*a - 60 = -68, -4*a + 16 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 2*z - 9. Suppose 2*n = 5*p - 16, 5*p - 2 = 4*p. Does 12 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -2 + 30\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*r - 654 - 2898 = 122*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -9*f**2 + 0 + 7\/3*f**3 - 5*f. What is the derivative of w(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747c (base 16) in base 14?\nAnswer: ac20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**7\/1575 + y**6\/225 + y**5\/90 - y**4\/5 + 4*y**3\/5 + 17*y**2 - 2*y. Suppose h(l) = 0. Calculate l.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 668*d + 3363. What is y(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -94*k**2 - k - 1. Let m(b) = 47*b**2. Determine 2*c(w) + 5*m(w).\nAnswer: 47*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.91 - 0.75. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 4*i - 1. Let x be z(5). Let a be (-2*2\/(-4))\/1. Sort x, 3, a in increasing order.\nAnswer: x, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 70\/7 + 3)*102\/(-85).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/495 and 79\/3644795.\nAnswer: 32803155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let d be w(3). Let t = d - 2. Let r be (66\/(-24) + 1)*(-4 + 0). Solve -4*l + h - 9 - r = 0, l - t = -h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3171.6976 + -22.1\nAnswer: -3193.7976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t + 1. Let l(c) = -5*c**2 - 2. Suppose i - 21 = -4*r, 0 = 5*r - 29 + 4. Determine i*l(s) + 4*f(s).\nAnswer: -s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.23+51\nAnswer: 51.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**2 + 10*r + 4. Let h be v(-20). Let b = h + 12519. Suppose -5*q + 7932 = -q + 4*c, -5*q = c - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 3. Suppose 3 = -n, 3*n - 21 = 12*h - 7*h. Let x(y) = -y + 1. Calculate h*x(l) - a(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000167561634 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 55184636694?\nAnswer: -55184636693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 30) + 20 + (-59 - 1) + 11\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -4, -2, 0.419?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1394369, -1394350, -1394331, -1394312, -1394293, -1394274?\n\"Answer: 19*s - 1394388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5774369700 rounded to the nearest 1000000?\nAnswer: 5774000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84 - (1 - 2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - 0) + 3 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 = 4*b + 2777. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 - 11069202943.\nAnswer: -11069203352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761908 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -444.24? (a) -25 (b) -2\/9 (c) 3 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.5883l to millilitres.\nAnswer: 20588.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2517, -5040, -7575, -10128, -12705?\nAnswer: -15312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 - 39*n. Let h(i) = -3*i**2 + 8*i. Let s(z) = -24*h(z) - 5*w(z). Factor s(b).\nAnswer: -3*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 1. What is i(-7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9556335ml?\nAnswer: 0.0009556335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.8, -1, -0.038?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 809056 + 702054 = 1523308. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 12390.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Let a = -481 + 503. What is the least common multiple of u and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 + 5381*b**3 + 476*b**2 + 20 wrt b?\nAnswer: 120*b**2 + 32286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.095 + 0.065. Let s = -305 - -307. Which is the nearest to -1\/5? (a) w (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71823\/2 and 3137 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -26 + 22 - (7 - 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(1 - 1\/(-2)). Suppose 2*z - 37 = x. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -0.36. Let u = -2.3 + 1.8. Let r = -0.3 + -0.1. Which is the closest to -1? (a) u (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 2*o**3 - 4*o**3 + 0*o**2)*(312 - 6 - 35) as y*o**3 + c + p*o**2 + u*o and give p.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - c = -4*h + 543, -2 = -2*c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/120 + 3*r**4\/8 + 223*r**3\/6 - 99*r. Let i(t) be the second derivative of u(t). Give i(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(3 - -2) + -2*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 8*i**5\/3 - 5470*i**4\/3 - 730*i**3 + 188580*i**2 - 796896*i + 492480 = 0.\nAnswer: -12, 3\/4, 5, 6, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 31. Let g = 24 + f. Which is the third smallest value? (a) 2\/3 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**3 + 2*a**2 + 2*a. Determine p(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/3*6. Suppose -4*j + 28 - x = -2*p, 4*p = 3*j - 28. Suppose -j*k - k = 5. Is 1\/3 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -2\/31 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*k = -1425, -2*z + 4*k + 346 = -354. Suppose -3*r = -x + 3*x - 747, -3*r - z = -x. Suppose 2*b - 754 = -2*j, -4*j - x = -5*j - 5*b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 405 + -1 + -53 + 45. Calculate the remainder when (6\/(-4))\/(6\/(-176)) is divided by 99\/c - ((-118)\/8 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - 5*y**3\/3 - 7*y**2\/2 - 6*y - 5. Calculate x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19714 - 19253. What is the remainder when 1852 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 240?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118051 (base 9) to base 16.\nAnswer: 11740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 3*g)*(-6 + 2 + 3) + 3*g + g - 5*g - 1 + 3*g + 0 - 2.\nAnswer: 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 6*x**2 - 9*x + 14 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let q(k) = -12*k**2 + 1322*k - 204. Let b be q(110). Solve -d*w = w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26584 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.12, -0.3, 4 in descending order.\nAnswer: 4, 1.12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.3226\nAnswer: 0.03226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.86 + 17.56. Let p = 4 + -8.8. Let y = u + p. Which is the closest to y? (a) -1 (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 341964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w + 110. Let b = w + 41. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b + 1. Suppose -3*q - 8 = -q. Let g = -5 - q. What are the prime factors of f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039295 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2222700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 155, 388, 767, 1364, 2251, 3500?\n\"Answer: 12*q**3 + q**2 + 146*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28041*l*u**3 + 2*l - 89*u**3 + 3*u + 2 wrt l?\nAnswer: -28041*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4176 + 1323 - 9074 - 2331 + 2046)*(-3*z + 2*z**3 + 3*z).\nAnswer: -24424*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 7 + 2*4\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 28227177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/(-50) + (12 - (-70)\/(-35))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.071167 and 2624.\nAnswer: 2624.071167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/20 - m**4\/4 - m**3\/2 - m**2\/2 - 9*m. Let l be r(-3). Are 8 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18290 - 6094 + 3050*b - 6100 - 6096.\nAnswer: 3050*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67018101?\nAnswer: 3, 29, 83, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 46.6, 5, -0.052 in increasing order.\nAnswer: -1\/6, -0.052, 5, 46.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {t: 1, e: 4, w: 2, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 100. Solve -4*r + 4*o = -0*r + 16, 0 = -r + 5*o - d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 21. Let h(a) = 4*a**2. Determine h(v(n)).\nAnswer: 4*n**2 - 168*n + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**4))\/b**(3\/13))\/(b\/(b**2*b*b*b))**(-9) assuming b is positive.\nAnswer: b**(-523\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(14\/11)*(x*x\/x**(-2\/25))\/(x*x\/x**(-2)*x)*(x\/((x**6*x)\/x)*x\/(x**(-1)\/x)*x)**47 assuming x is positive.\nAnswer: x**(-1248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114ba - -7a?\nAnswer: -11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62811?\nAnswer: 3, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*x = 4*j + 35, 3*j + 4*x = -24. Let v(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - t**3\/2 - t**2\/2 + 507*t. Give v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.7 + 20.1. Sort 0, -0.5, h in increasing order.\nAnswer: -0.5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -13 - -13 - 11 - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.64, -2\/17, -56, 5, 2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5245688.\nAnswer: 2, 7, 283, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**4 - 10*z - 15*z**2 + 12*z + 788 - 805 + z**4 as y*z**3 + p*z + a*z**2 + j + t*z**4 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*n**4 - 46*n**3 + 26*n - 249 wrt n?\nAnswer: -2040*n**2 - 276*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 258*l - 65 = 253*l, 2*z + 21 = 4*l - 61 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -5*p, -2*p + 74 - 204 = -4*b. Suppose 28 - b = -3*q. Solve -g - 4 = 2*a, -5*a + g - q = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 5 - 2*d**4 - d**3 + 9 - 1 to the form w + n*d**2 + i*d**3 + k*d + s*d**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = c - 7, 5*c = -2*t + 29. Suppose -26 = -t*s + 5*y, -3*s - 4*y = -0*y + 7. Suppose 0*g + s*g - 195 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 5*q**2 + 6*q + 92. Let v be j(-6). Suppose v*o - 1960 = 18*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j + 7. Let l(d) = 6*d - 4. Let r(v) = 7*l(v) + 4*w(v). Let n(k) be the first derivative of -6*k**2 + 16. Determine r(n(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let s = 2 - l. Solve -s*x = -5*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28858.50736 - -28862. Let i = 6.69241 - t. Let p = 3.2 - i. What is p rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44352613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 296741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15071*j*l - j*m - 838*j + 2825*l + 20765*m wrt j?\nAnswer: 15071*l - m - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 15. Let t(d) = 25*d + 1 - w + 7 - 2. Calculate the remainder when 75 is divided by t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6696)\/(-432) + (-26)\/2. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {q: 4, c: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 - 35*k**4 - 30*k**3.\nAnswer: -5*k**3*(k + 1)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*w + 4*w - l, 5*l + 6 = 2*w. Solve -20 = -w*u + 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*v = t + 14, 20 = 5*v. Let u = -3033 + 3038. Solve -2*k + t = 4*i - 0, u*i = -4*k + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -95 - ((-94 - -10) + 20).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10380056 is divided by 2594984.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001988 rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -7. Let t be (-228)\/(-20) - y\/(-5). Let m = t - -3. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = -2*x, -2*x + b - 2*b = -5. Let v = x - 0. Suppose -4*t + 6*t = v. Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 10*m + 26. Let g be t(12). Let x be 4\/14 + g\/70. Let b = 51\/5 - 449\/45. Is x >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241987 + -67514299\/279. Calculate the common denominator of a and 29\/465.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -335 - -351. Solve -x*b = -11*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 8*s - 3*s)*((0 - 2 + 0 - 4 + 4 - 1 + (-1 + 3 - 3)*(0 + 1 - 3) + 1 - 1 - 5)*(2 - s - 2) + 2*s + 0 + 0).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 11. Suppose 0 = 3*g - m*d + 3, 0 = -5*g + 4*g - 5*d + 23. Solve -3*t + 18 = -j - 2, -5*j + g*t = 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10862, 22028, 40638, 66692?\n\"Answer: 3722*c**2 + 7140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7\/5)*i*(i\/((i*i**(1\/7)*i)\/i))\/i*i*i*(i**10*i)\/((i\/((i\/(i**8\/i))\/i)*i)\/i) assuming i is positive.\nAnswer: i**(121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from asaaaaaa.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452530 by -3481.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2\/10)\/(8\/20). Suppose f*j + 3*u = 7*u + 13, 5*j - u - 16 = 0. Suppose y + j*p - 25 = -y, 0 = -4*y + 5*p + 105. Is 20 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:00 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -1\/6 (c) -2\/3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.15 plus -3.1?\nAnswer: -136.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.4253 (c) 2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*p = 4*c - 111, -45 = -c - 3*p. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -p - 5*h + 11, -3*p + 5*h - 9 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j + 2. Let i(p) = 12*p - 13*p - 13*p - 14*p - 3*p - 2. Does 30 divide i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i = -26*i - 38*i - 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4620 and -199\/40590?\nAnswer: 568260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 7, r: 7, e: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 13127.9 to the nearest one hundred.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2333126.\nAnswer: 2, 1166563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1230 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3245 divided by 13\nAnswer: -3245\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5318763073?\nAnswer: 13, 97, 4217893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -133344*d - 10000791. Determine x(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {y: 1, p: 1, g: 3, z: 5, e: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 3910274.\nAnswer: 3910271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 37 = 3*y, 14953*y - 14959*y - u = 46 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8623421?\nAnswer: 139, 62039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 0*w)*(3 + 2*w**3 - 3) + 263542 + 982*w**4 - 263542 + 1 + 3*w**4 - 1 + (-3*w**2 - 2*w**2 + 4*w**2)*(-3*w**2 + w**2 + 0*w**2).\nAnswer: 983*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1010 - 1007. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1277*n**2. Let a(r) = -4*r**2 + 3*r. Let x(z) = 17*z**2 - 13*z. Let q(y) = 26*a(y) + 6*x(y). Give q(u(k)).\nAnswer: -3261458*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)*n**4\/n*n**(-5\/4)*n*n*n\/(n\/(n**6*n)) assuming n is positive.\nAnswer: n**(293\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2712 divided by 904\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12425?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40\/183 + 9985\/366. What is the common denominator of j and 47\/1263?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 780393 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107587 and 1215614?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38636208 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -17.4, 4 in increasing order.\nAnswer: -17.4, 2\/33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (66*4\/24)\/(6\/(48\/(-8)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -91. What is the tens digit of 3 + g + 19 + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404268039*c*o**2 - 3359*o**2 + o + 4573 wrt c.\nAnswer: -404268039*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i + 1\/12*i**3 - 2 + 0*i**2. Suppose j(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 2:59 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 593 + -4150\/7. Let k = -1 - -1.1. What is the nearest to k in r, 1, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*y**2 - 206796*y + 4700.\nAnswer: -4*(y + 1175)*(44*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 2 + 2*p**2 + 7. Let m(z) = 2*z**2 + 2. Suppose n - 1 = -0, -7 = -x - 2*n. Let s(l) = x*m(l) - 2*y(l). Let c(i) = 3*i. Calculate s(c(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.32 (b) 142 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(99) - -1*sqrt(99))\/sqrt(9) - sqrt(44)\/sqrt(4)*2 - (sqrt(11) - 1*sqrt(176) - (-1 + sqrt(11))*6)))**2 + 0.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 - n. Let z be p(2). Suppose o + z*l - 65 = -l, l = 2*o - 109. Calculate the greatest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 637*n - 5106. Calculate s(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 14 = 8*u. Let i be (-2 - -1) + 5\/u. Which is the smallest value? (a) 1\/5 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/2, -3, -1.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2375 + 275. Let x = 765 + g. Let v be 4\/14 + x\/(-105). Calculate the greatest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 9. Let s(p) = 22*p + 2. Let l be s(5). Let g be l\/52 + y\/13. Solve -6 = -k - g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 + 50)*5\/(-60) - (-11)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0435914.\nAnswer: -0.0435914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1513265.5 from 361872.\nAnswer: 1875137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1975 and 40\/77499?\nAnswer: 1937475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(14\/(-7)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1189782552 to the nearest integer?\nAnswer: 34493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g))**16*(g\/((g*g**2)\/g)*g)**(-19\/2) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977ad (base 16) in base 10?\nAnswer: 1669037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833906556?\nAnswer: 2, 3, 7, 307, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101010 (base 2) to base 9.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - 3. Let s(n) = 9*n**3 + 6*n**2 - 113*n - 18. What is -s(o) + 6*w(o)?\nAnswer: -3*o**3 + 113*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 3*q - 67. Suppose -z + 14 + 4 = 3*h, -12 = -4*z. Suppose h*x = 16 + q. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4284582 - 17.9.\nAnswer: -18.3284582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -562*n + 4506. Determine u(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/52 + (-132480)\/(-3120).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Let w be (2\/7)\/(l\/14). What is the second derivative of i**w - 5*i - 2*i**2 + 2*i**3 + i**2 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 1, r: 4, k: 4}. Give prob of picking 2 m and 1 r.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227670\/11 + 20699. Find the common denominator of b and (15\/10)\/((-10)\/28).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/24 + (-2)\/(-6)*1. Let h(x) be the first derivative of 0*x**2 - 2\/3*x**3 + r + x. Differentiate h(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5710 - 0.0387.\nAnswer: -5710.0387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4084699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900)*-1 + (-1*sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900))*-1)**2.\nAnswer: -120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:10 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 99\/21 + (-6)\/(-21). Suppose -x*v - 28 = -9*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144*k + 3035*k - 5612 = 2454 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(119)*-3 + sqrt(119) + sqrt(119))\/sqrt(7))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96\/(-17 - -1)*274\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 1 + -11)*78. Let j be l\/(-18)*3\/2. Suppose -j = -10*d + 8*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 - -1.9. Let f = 4.09 + g. Which is bigger: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110020 (base 3) in base 4?\nAnswer: 100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1266656 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**7\/4200 - f**6\/1200 - f**4\/24 - 3*f**2. Let y(l) be the second derivative of v(l). Determine a, given that y(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1461 by 2.\nAnswer: -1461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14791220 to the power of 1\/2, to the nearest integer?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 120, 156, 194, 234, 276, 320?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 101 = -391. Suppose -36*j - 1630 = -m*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*f + 99*f + 13 - 54*f as d*f + i and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 12122?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107085966?\nAnswer: 2, 3, 13, 31, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**3 + 8*r**3 + 2*r**2 - r**2 + (3*r - 3*r - r**2)*(-4*r + 3*r - r) + 0 + 0 + 2*r**3.\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from oqzyeyzep?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 163 + 193 = 0. Calculate the smallest common multiple of (2 + -2)\/(-2) + 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 36. Let p(q) = -16*q + 176. Let d(s) = 5*m(s) - p(s). Let g(a) = 15*a**2. What is d(g(w))?\nAnswer: 165*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1.3, 0.5 in descending order.\nAnswer: 0.5, -1.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:41 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 + 9684*r**3\/7 + 125554*r**2\/7.\nAnswer: 2*r**2*(r + 13)*(r + 4829)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v, -5*v = -2*h - v + 2880. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29534*y = -29520*y - 56. Solve -5*q - 3 = -3*o - 16, 5*q - 41 = -y*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/19 - 11770*n\/19 - 1551612\/19.\nAnswer: 2*(n - 6014)*(n + 129)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 + 0.08. Let n = 0.5 - k. Let f = -6 + 4. Which is the closest to 1? (a) f (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/15 + 20*l\/3 = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (4 + 363\/(-6)). Let p = s - 65. Let n be (2*(-5)\/30)\/(8\/p). Which is the nearest to -2\/5? (a) -2 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-280))\/(11*(-1)\/(-5))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 7, s: 5}. What is prob of picking 1 u and 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -2\/3, -1\/2, 0.4, -10\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 6*i**2 - 7*i + 3. Let o be c(7). Let n(k) = -k**2 + 2*k + 4. What is n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 - 31*d - 6. Let u be i(-10). Solve 0 = z + 1 - u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450152.\nAnswer: 2, 56269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23100 is divided by 21554.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 8*t + 95 = 0. Let h(s) = -14*s + 6*s + 0*s**2 + 8 + s**2. Let j be h(6). Sort j, t, 2 in ascending order.\nAnswer: j, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 1 x when three letters picked without replacement from pcxpnccppxpnorn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 z when three letters picked without replacement from {t: 1, m: 3, z: 5, i: 3, l: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225 - -760. Let g = j - 382. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756374041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37993 + 83748. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/10 + -2*1. Let u = 21 - 20.59. Let t = -0.01 + u. What is the smallest value in p, t, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22293 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z - 22. Let d be t(7). List the prime factors of 188\/(-4)*1*d + -2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005106093406 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 908 divide 39105423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/8)\/((-1635)\/(-546) + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171) + 4 - (sqrt(1900) + (-5*sqrt(1900) + -2)**2 + sqrt(1900)).\nAnswer: -47501 - 217*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738 = 141*p + 30*p + 225 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(sqrt(68) - (sqrt(68) - (-1 + sqrt(68)))*5 - (1 + sqrt(68))*-5) + -4 + -5*2*sqrt(68)*-1 + 4)**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, 24, 0 in descending order.\nAnswer: 24, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*f - 86, 15474*f - 5*k - 105 = 15475*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o - 35. Let v(j) = 3*j - 5. Let l = 19 + -9. Calculate the least common multiple of v(o) and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.973 + 24. Let n = 0.0270057 - z. What is n rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**2\/2 + 26*c + 27. Calculate the least common multiple of (1 - 3\/(-7))\/(24\/168) and y(0).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359118279.\nAnswer: 3, 13, 79, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 + (-8)\/(-4). Suppose 0 = 2*t + 3*t + 5*w, -2*t + f*w + 15 = 0. Suppose -z + 7 = -c, 0 = 5*z - t*c + 3 - 42. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 2 + sqrt(80) + 4 + sqrt(80) + sqrt(20)\/sqrt(4) + -2).\nAnswer: -54*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 102*l - 832. Let q be u(9). Solve -11*s + 7*s - 22 = q*j, j - 4*s - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*l - 2*l + l)*(1 + 3*l - l + 1) + 0*l**2 - 2*l**2 + 0*l**2 to d*l**2 + t + y*l and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w - 17. Let i(j) = 6*j - 16. Let b(m) = 4*a(m) - 5*i(m). Let c be b(6). Factor 4\/9*f + c + 10\/9*f**2 + 2\/9*f**4 + 8\/9*f**3.\nAnswer: 2*f*(f + 1)**2*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -20. What is the closest to -3\/4 in j, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*u + 41. Suppose -u*b = -8*b - 79. Suppose -2*w + b = -55. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by ((-6)\/(-27) + 517\/(-99))*(2 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 15. Let k = l + 4. What is the units digit of k\/(-10) - (1\/2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from gwbbjwqqbwgjkbkk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 - 9*h**3 - 3*h**2\/2 + 10*h + 12. Let g be k(27). Let t = g - -78. Solve 0 = -2*c - t + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77644 = 3025*w + 802*w + 173*w - 126356 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-138))\/9*(-7)\/(-42)*4.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:20 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*((u\/u**(2\/103)*u)\/u)\/u)))\/u**(-13\/5))**(3\/17) assuming u is positive.\nAnswer: u**(5532\/8755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57b - 43922?\nAnswer: -442a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136025 - 2?\nAnswer: 136023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 681974185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 + 120*g**2 - 825*g + 1210 = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 424 = 4*u, -4*x - 512 = -0*u - 5*u. Suppose 207*d + 477 = 7101. Calculate the greatest common factor of d and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 53. Suppose 3*d = 5*l + 2*d - 984, n = l + 5*d - 202. List the prime factors of l.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097369699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -123, -384, -883, -1698, -2907, -4588, -6819?\n\"Answer: -13*c**3 - 2*c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(-4)*1. Suppose l = z + 3*t + 13, 3*z + 0*t + 18 = -2*t. Is z less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 263\/2. Let h = 85.9 + -86. Sort 0.4, 0.3, h, r in increasing order.\nAnswer: h, 0.3, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 311?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 5*v**2 - 6*v + 5. Let b be d(6). Suppose 6*t = b*t - 32. Let h = t + 42. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 158008753.\nAnswer: -790043765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 30 = 9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z + 1)*(-3*z**4 + 6*z**4 + z**4) + 587*z**5 - 1384*z**5 + 563*z**5.\nAnswer: -226*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -151*r + 16. Is t(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450860316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h**13\/h)*h))*h)\/h**10*h**(-2\/17)\/((h**(-13)*h*h)\/h) assuming h is positive.\nAnswer: h**(-121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -39. Let f(r) = r**2 + 5*r + 18. Is f(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2217045*z. Let a(u) = -2*u**2. Give w(a(x)).\nAnswer: -4434090*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 51*s**2. Let p(f) = 421462*f**2. Give r(p(x)).\nAnswer: 9059141089644*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1)\/((-434)\/1798*-29) - 82\/(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57165201.\nAnswer: 3, 1483, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, 9, 1.\nAnswer: -22, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:32 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94.04 - 157.91. Let h = o + 64. Let s = -2.87 - h. Which is the biggest value? (a) 2 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58\/12 + 47589\/(-9846)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.5 (b) -6\/5 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/15 + 29170*l**2\/3 - 194458*l\/5 + 145842\/5 = 0. Calculate l.\nAnswer: 1, 3, 72921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -2039*p**5\/20 - 714*p**2 + 6*p + 332. Find the first derivative of i(c) wrt c.\nAnswer: -6117*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 9. Let x = 8 - c. Suppose 4*r - 32 = 5*z - 0*z, 3*z = -12. Solve -2*k + r = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -71845804.\nAnswer: 1\/35922902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 9 - (-6 + 9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -0*g - 4*g - 5*l, -2*g = l - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300) + -1 + sqrt(1300)) - (sqrt(1300)*-2 + -1))**2.\nAnswer: -600*sqrt(13) + 130009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5100 and -52529.7?\nAnswer: 57629.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let z(n) = -50882409*n**2. What is t(z(c))?\nAnswer: -5178039091286562*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1656 (base 7) to base 9\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*x**2 - 1 - 34*x**2.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and ((-8)\/(-28))\/((-8)\/(-18928)).\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6)*44\/(-6). Let z = v - -11. Is z at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 102*v + 50.\nAnswer: 2*(v + 25)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8*8 + 172 + -173. Let g(s) = -6*s - 1. Let u be g(-1). Put q, u, 19, 0 in increasing order.\nAnswer: q, 0, u, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*s**3 + 0*s - 4\/7*s**2.\nAnswer: -2*s**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 105. Let l = d + -553\/4. Let o(m) = -m**3 + 10*m**2 + 10*m + 11. Let f be o(11). Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - -834. What is the remainder when y is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - (-138)\/5. Suppose l - 2*i = 2*l + 2, 0 = 4*l - 4*i - a. Find the first derivative of 1 - 3*t**l - 3 + t**4 wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15556 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + c - 1 = -4*f, f = -5*c + 5. Suppose f = -3*u - 3*b - 0*b + 330, -3*b = -3*u + 312. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021969 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*x - 5*b, 6*b = -2*x + 5*b + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*q**5 - 5*q**4 - 105*q + q**4 - 142*q**5 wrt q?\nAnswer: 140*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) -0.1 (c) 2\/11 (d) -23974 (e) -3 (f) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let u(q) be the third derivative of -q**4\/24 + 13*q**3\/6 + 181*q**2. What is u(p(l))?\nAnswer: l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*o**4 - 3071 + 3086 - 6*o**2 - 3*o**5 + 4*o**4 + 30*o**3 - 27*o.\nAnswer: -3*(o - 1)**3*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -4*m, -8*x = m - 4*x - 17. What is the highest common divisor of m and 2575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + w**2 + w. Let f(a) = -113*a**3 - 11*a**2 - a + 1. What is 3*d(u) + f(u)?\nAnswer: -107*u**3 - 8*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o - 117*o + 530 = 70*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 r when three letters picked without replacement from {w: 1, r: 1, g: 8, v: 2, h: 1, t: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n - 1. Let s be y(-2). Let v be (-6)\/42*(-6)\/3. Which is the nearest to s? (a) -3\/7 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -2\/15, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2141 + 535 + 536 - 330*r + 538 + 532.\nAnswer: -330*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0317 times 1?\nAnswer: -0.0317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -443.1237 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.6 - 61.6. Put -16, 0.5, i in descending order.\nAnswer: i, 0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, 2\/3, -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 113347?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524 by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66550 (base 8) to base 15.\nAnswer: 8473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 3. Let x = 22 - 24. Let a(n) = n**2 + 2*n + 3. Let t be a(x). Suppose -5*m = -m, c - t*m = 0. Calculate k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/30 + 9\/10. Let d(b) = -b**2 - 12*b - 15. Let c be d(-11). Let s be 3 - ((-12)\/c + 0). Are u and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-5) + 1303\/5. Let o = q - 121. List the prime factors of o.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8868587 divided by 533?\nAnswer: -16639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14648725 - -0.02?\nAnswer: 14648725.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-23\/5)*b)\/(b*b**5\/b)*(b*b\/b**(9\/7))**45 assuming b is positive.\nAnswer: b**(824\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1375 - 1369. Let t(l) be the third derivative of 0 - 1\/24*l**4 + 0*l + 8*l**2 - 1\/15*l**5 + 1\/40*l**h + 1\/3*l**3. Factor t(w).\nAnswer: (w - 1)**2*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a*a**(5\/16)*a*a*(a**(1\/2))**(1\/6) assuming a is positive.\nAnswer: a**(-77\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*s - 62383 - 11470, 4*n = 3*s - 44315. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 2*i, -18 = -5*i + 3*i - 2*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9134*p + 1113 = 9081*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48263 to 3 dps.\nAnswer: 0.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1419 and 14577?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 9*p**3 + p**2\/2 - 4*p. Let u be q(-5). Let o = 1349\/5 + u. What is the closest to 0 in -0.4, -5, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-30 - -38) - ((-6 - -4) + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/28 + (-39)\/63. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16112186*i + 2. Let r be q(1). Suppose -42664820 = -8*j + r. Suppose 4*y + j = -37452874. What is y rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282 + 362*c - 148 - 130.\nAnswer: 362*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/4)\/(-1 - -4). Let d be -6 - (-5)\/((-10)\/(-6)). Which is the closest to -5? (a) 0.2 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x)\/(x*(x*(x\/x**0*x)\/x*x)\/x*x)*x**(-2\/11)\/(x\/((x*x**3*x)\/x)) assuming x is positive.\nAnswer: x**(-190\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25265446 divided by -5?\nAnswer: 25265446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374.9614 - -375. What is f rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*v - 384*v = -39145. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) -2 (c) -9\/20 (d) 0 (e) -2582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493796159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*u**2 - 903*u**2 - 107*u**2 - 77*u**2)*(2 - 1 + 0) in the form m + s*u**2 + b*u and give s.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19676 from 8341.99.\nAnswer: 8341.79324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5735397 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(5\/1))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9977836?\nAnswer: 2, 11, 226769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t**2 - 1300*t - 1660. Give i(-117).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 8*c + 5. Let b be u(-9). Let s = b - 40. Let o = -7 - s. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20729 and 216018?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**6\/5 - 5*b**2 - 9*b. What is the derivative of i(d) wrt d?\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = v + 3*v - w, 0 = 2*v - 2*w - 26. Suppose 6*i - 9 - v = 0. Solve 0 = -4*p - 3*z - 32, -16 = 4*p + 3*z - i*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -102, -116, -140, -174, -218?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. Suppose 3*l = 2*s + o, -s = 3*s + 4*l - 48. Solve 4*b = -s - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 10299*o**2 + 61785*o.\nAnswer: o*(o - 41190)*(o - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*m**3 + 100*m**3 - 185*m**3)*(-m**2 + m - m) + m**5 + 393*m - 393*m - m**3.\nAnswer: 120*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -14) + -4*15\/(-20). Solve -3*v + 11 = g*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3*j**4 + 0*j + 320\/3*j**2 + 0 + 32\/3*j**3 - 2\/3*j**5 = 0. Calculate j.\nAnswer: -10, -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38786 or 0?\nAnswer: 38786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -8 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oboooeeboboobob. What is prob of sequence beb?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -315 times 14939\nAnswer: -4705785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4231*f**6*l + 2*f**4*l**3 - 1088*f**2*l**3 + 2*f**2 wrt f?\nAnswer: 507720*f**3*l + 48*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 4. Calculate the least common multiple of 7 and p(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*d + 28*d - d**2)*(-7 - 19 - 16) as f*d + t*d**2 + z and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 772 + -51?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 14796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*x + 1016 - 264 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.2376 and -0.1086603.\nAnswer: -2.3462603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6 - 5 + 12. Let i(a) be the first derivative of -2*a**3\/3 + 3*a + 1. What is i(q) - 3*u(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13340 (base 6) in base 5?\nAnswer: 31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125826 is divided by 164.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(8)*3)**2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:20 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*z = -557*z + 7 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g = 178*g - 61*g - 1932 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/2 - (20 + 16 - (54 - 25))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -1\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -626546 (base 7) in base 9?\nAnswer: -174108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9840 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 569*f - 4879. Determine h(-9).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -81708590 to the nearest 10000.\nAnswer: -81710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3508, -13998, -31470, -55924, -87360, -125778?\n\"Answer: -3491*r**2 - 17*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/2, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28664717266 from 0.3.\nAnswer: -28664717265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let u(m) be the third derivative of 0 - m**2 - 2\/15*m**5 + 0*m + 0*m**4 + 0*m**3. Calculate s(u(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -33463*r - 201137. Give j(-6).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let k(t) be the second derivative of 7*t**4\/6 - t**2 - 9163*t. Give b(k(w)).\nAnswer: 392*w**4 - 112*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 7152, 3, 0.14, 2\/9, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 36*c**2 + 43*c + 37. Let x be j(-35). Let d = x + 271. What is the least common multiple of 14 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 360 - 634 = 21*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 + 3750*k + 22392 = 0 for k.\nAnswer: -1244, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -5 + -103 + 126\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 147647*f - 13739820.\nAnswer: (f - 147740)*(f + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123763 or -123764?\nAnswer: -123764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {x: 8, a: 3, k: 6, m: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21d - 4456?\nAnswer: -4237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3.54, 5, -5?\nAnswer: 3.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-205)*(234\/(-1560))\/((-33)\/275).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 10633 = 25109. What is the remainder when t is divided by 87?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w. Let v(i) = -127004*i - 4. Determine q(v(g)).\nAnswer: -508016*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327370 by 8615.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1577, 3030, 4377, 5612, 6729, 7722, 8585, 9312?\n\"Answer: -l**3 - 47*l**2 + 1601*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/32? (a) -1\/4 (b) -4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s + 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 14*y - 513. Let h be y\/(-54) + 1\/(-6). Suppose -k = h*k - 36. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 8*u + 6*u + u - 4 to f*u + g*u**3 + i + d*u**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010100110011010110 (base 2) in base 9?\nAnswer: 7502710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -19.5. Let n = 5 - z. Let x(f) = 2*f + 3. Let d be x(-4). Which is the closest to 0.2? (a) d (b) -1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 18*f - 43. Let m(n) = -5*n**2 + 54*n - 129. Let v(k) = 4*m(k) - 11*t(k). What is the units digit of v(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14980, 29923, 44866, 59809, 74752?\nAnswer: 89695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-21)\/12 + 2). Let w(k) = -k**2 - 12*k - 7. Let z be w(a). Solve 4*g = 5 - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -3083\/3251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 13*f = 0. Let v(x) = f*x - 2*x - x. Let m(j) = 7*j**2. Give m(v(u)).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (5 + -6)\/((-3)\/((-35316)\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -154, -429, -814, -1309, -1914?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 55 = 17*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ab - bdb23?\nAnswer: -bd756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from elieeqieideediidi.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 1.7. Which is the second biggest value? (a) 5\/3 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 95*i**4\/3 - 173*i**2 - 312*i. What is the first derivative of t(v) wrt v?\nAnswer: 760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -371436.1 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -225433.9 take away -3.95?\nAnswer: -225429.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8213 + -7859. Calculate the greatest common divisor of 944 and q.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**3 + 6*u**3 + 4154 - 2067 - 2087.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 191*l**3 + l**2 + l + 2. Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:28 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 0*w - 2*w + 3*w. Let a(s) = s. Let k(m) = -3*a(m) + z(m). Let p(y) = 2*y. What is k(p(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8\/3)\/y)\/y)**(-10) assuming y is positive.\nAnswer: y**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47070?\nAnswer: 2, 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-40) - (-437)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/9 - 3656*m**2\/9 + 153760*m\/3 - 198528 = 0.\nAnswer: 4, 132, 1692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 5, 16085.\nAnswer: -8, 0, 5, 16085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 1, t: 1, s: 1, a: 1}. Give prob of picking 1 p and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49286 - -87?\nAnswer: 4931d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 4*j - 13*j + 8*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*d + 39, -4*s + 31 = 3*d - 140. Let b = s + -15. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-36))\/((-6)\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 3. Let j be z(2). Sort -2, -5, j.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c, -6*v - 2792 = -2*v - 2*c. Let n = v + 1429. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -4.8, 18\/11, 90?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4 - 6. Suppose -9*z = -5*z - 3*n - 336, -b*n + 252 = 3*z. Suppose 52 = -v + z. Solve -4*u = 4*y + v, 9*y - 5*u - 10 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -100 (b) 16 (c) -7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20740 and 288286.\nAnswer: 2882860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191605, 383212, 574819?\nAnswer: 766426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - -6.89. Let m = s + -7.5. Sort -5, -1\/3, m in descending order.\nAnswer: -1\/3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 2, l: 7, d: 10}. What is prob of sequence ddgg?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/348 and 43\/1900?\nAnswer: 165300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 14*d**2 - 17*d - 37. Let t(m) = 5*m - 60. Let g be t(9). What is x(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 588.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*b - 6095 - 35895 = 2506 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/2085 and -23\/834?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -763, -0.5, 1\/55?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49003378, -49003379, -49003380, -49003381?\nAnswer: -49003382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13136874 is divided by 1876693?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -51, -0.34, 0.2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/10)\/(1\/5). Let k be (1\/7)\/(u\/(-3)). What is the nearest to -2\/3 in -3, -1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -32*h + 28*h + 9, 0 = 4*x - 2*h - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + 0.18. Which is the nearest to 1? (a) -7 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 999 times 0.4\nAnswer: 399.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2023 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 28.06. Let g = 27.4 + h. Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 51, -31409, -0.23?\nAnswer: -31409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let v = 65171 + -3583821\/55. Let h = -108\/11 + v. What is the biggest value in x, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:25 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68 - 8339*z**2 + 12 - 115*z + 12 + 33 + 12 wrt z.\nAnswer: -16678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2, -4 in decreasing order.\nAnswer: 2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 12.8.\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.2. Let k = -14 + 9. Let g = k + 4.7. What is the second biggest value in y, g, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 106?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24*x + 19*x = -411, 5*x - 5 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -86253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 2. Let i be j(0). Let q be -4 - (15\/45)\/(2\/(-1212)). Suppose -4*g - q = i*g. Let h(n) = -3*n - 2. Let t(k) = -16*k - 11. Give g*h(f) + 6*t(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/684? (a) -1\/6 (b) -105 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/4, 2, -2\/5, -1\/9, -4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -198 in descending order.\nAnswer: 2, 1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 75*s**2 - 3*s + 75.\nAnswer: 3*(s - 25)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4732 - 3244. Calculate the common denominator of -71\/16 and 6\/2 + x\/72.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 24917*z**2 + 24917*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 3711742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 11) to base 9\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 421975\/18 + -23450. Let b = 47\/6 + q. What is the common denominator of -33\/35 and b?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 23. Suppose -2*b + j = -6. Let w be ((-6)\/10)\/(4\/b). Sort 2, -4, w in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 123 + (0 - (-5 + 2)). Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -2bc51a7?\nAnswer: -2bc51aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/75)\/((-24)\/750)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 3:21 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from {i: 6, n: 4, j: 7, u: 2, o: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let f(b) = b**3 + b**2 - b + 6. Let z be f(3). Let a(p) = -z*p + 69*p - 39*p. Determine a(g(o)).\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0\/s)\/s)**(-2\/79)\/(s**(-9)\/(s**(7\/5)*s)))**30 assuming s is positive.\nAnswer: s**(27138\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -719? (a) 3 (b) 2\/5 (c) -4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6575, 13094, 19613?\n\"Answer: 6519*i + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5250*w + 12. Determine f(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3\/7 + 1888*j**2\/7 - 195220*j + 166779800\/7 = 0.\nAnswer: -902, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 3*h + 4*h**3 - 4*h + (-9*h - 1 + 1)*(0*h**2 - 3*h**2 + 6*h**2).\nAnswer: -22*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 385 = 121. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062\/1949 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -34. Let n be 58*1*54\/h. Let k = n + 4699\/18. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*h - 29 = x + 26, -5*x - 727*h - 6523 = 1474 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45200 (base 6) in base 5?\nAnswer: 200321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:12 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrlrjrj. What is prob of picking 1 l and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -905 - 2?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81317, 81253, 81155, 81029, 80881, 80717, 80543?\n\"Answer: n**3 - 23*n**2 - 2*n + 81341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2492.2 and -3.11.\nAnswer: -2495.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05931468 to 3 dps.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 2268, 5921, 11022, 17565, 25544, 34953, 45786?\nAnswer: 58037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -1, -38 in increasing order.\nAnswer: -91, -38, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7178685.\nAnswer: 3, 5, 478579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -3. Let x = 10 + t. Suppose p = x*p. Solve p = -0*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 23*w = i + 8, 4*w = i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*g - 26, 0 = g + n + 3 - 0. Suppose -4*k + 880 = -4*o, 4*k - g*o - 117 = 771. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 2. Let m be f(-2). Let p be (m + 0)*((-24)\/9 - -3). Suppose -w + 3*a + 11 + 5 = p, w = 2*a + 11. Solve -5*i + w + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1795 - -992?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2159 - 2233. Sort 2, y, 0.4, -0.5 in decreasing order.\nAnswer: 2, 0.4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/15 + 13*j**5\/5 - j**4\/6 - 26*j**3\/3 + 3225*j + 2. Factor n(i).\nAnswer: 2*i*(i - 1)*(i + 1)*(i + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -18, -42, -76, -120?\n\"Answer: -5*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 63 - 53 = 2*b - 67, 6*h = 5*b - 199 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let x(a) = -2*a**3 + 88*a**2 + 86*a + 181. Calculate the lowest common multiple of x(45) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61826 = -1365*n - 1889*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -50.6, 2\/59, -0.4, 1\/8?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/(-2) + (-2 - -9)\/(-14). Let o(r) = -26*r + 65. What is the tens digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2026692, -4053386, -6080080, -8106774, -10133468, -12160162?\n\"Answer: -2026694*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Suppose 2*s - 4 = -k*r, 0*r - 29 = 3*s - r. Let m = s - -16. Solve 0 = -3*n + m + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 9*y**2 - 21*y - 4. Let h be s(11). Suppose -2*t - c = -7, -10 = -5*t + h*c - 2*c. Let x(w) = -w**2 + 2. What is x(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times 0.5\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*l - 138 = -92, 0 = -3*j - 4*l + 51 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -3. Suppose -9 = -m - k. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*a - 822181 + 1644364 - 822183.\nAnswer: -738*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -14 + 5 - 19 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2814?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -6, 330 in descending order.\nAnswer: 330, 208, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32c2 (base 16) to base 2\nAnswer: 11001011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(20\/24*6\/80).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u + 11. Let p(y) = -y**2 - 3*y - 1. Suppose -2*q - 4*l = 28, -45 = 3*q + 2*q + 5*l. Let h be p(q). List the prime factors of j(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77413, -76604, -75819, -75064, -74345, -73668, -73039, -72464?\nAnswer: -71949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612 - 584 = -3*m - w, -m = -39*w - 384 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-3)*-2 + (-3078 - 2)\/20?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 11 - (-6 - (-9)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-1.215\nAnswer: -1.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5301 and 550?\nAnswer: 2915550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 1715 + 1726 + r + 3*r**2 as b*r + q*r**2 + f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 + 67*h**2 - 6*h**2 + 67*h**2.\nAnswer: 142*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89, 341, 593, 845, 1097, 1349?\n\"Answer: 252*r - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {l: 1, b: 1, f: 1, o: 1, s: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-932)\/1631)\/(-6*6\/(-28))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 23*d**2 + 36*d - 51. Determine t(24).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 4 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -669.4365 + -0.0635. Let r = -669 - u. Which is the nearest to 0.1? (a) -3 (b) -1\/6 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(171))**2 + -5.\nAnswer: 36*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + 200*b**2 + 1955*b + 44. What is h(-23)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h - 4*f = 44, -60 = -2*h - 4*f. Let u be (-6)\/(-39) - (-776)\/h. Is 2\/(-12) - (-2225)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.02, -18\/13 in descending order.\nAnswer: -0.02, -1\/3, -18\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-7))\/(-1 + 0). Let g = -32 + 32.1. Let t = 4.96 + 0.04. Which is the closest to g? (a) t (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000645096 rounded to seven dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:39 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(170) - (sqrt(170) - (-1*sqrt(170) + sqrt(170) + sqrt(170)) - sqrt(170))*-1)\/(sqrt(90)*-4 + sqrt(90) + sqrt(10))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*d - 8, -2*d + 4*l = -d + 15. Let b(o) = -10*o**2 - d - 6 + 9*o**2 + 5*o. What is b(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (756\/2982)\/(477\/22578).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1398 + 1390. Let o(u) = -u**3 - 7*u**2 - 9*u + 20. Let h(s) = s. Let x(i) = 5*h(i) + o(i). List the prime factors of x(j).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*a, -2*h + 28*a - 35 = 33*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/2 - 7*g**3\/3 - 2257*g**2\/2 - 213. What is the second derivative of q(j) wrt j?\nAnswer: -12*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5726560 (base 10) to base 13.\nAnswer: -12566c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*g + 20, -5*g + 177 = -4*v + 152. Do v and 2\/2271 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2302535?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 2*h - 1. Let k(m) = -m**2 + 2*m + 2. Let p be 6\/(-126)*9*-14. Determine p*k(w) + 7*q(w).\nAnswer: w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4343925 nanometers?\nAnswer: 0.0004343925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.6. Suppose 0 = 3*n - 17 - 37. Let t = n - 13. What is the closest to c in -0.4, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-793)\/(-14274))\/((-12)\/4)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 69996537.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 12 (c) 0.09 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = -0*g. Let w(n) = n**3 - 6*n**2 + 5*n. Let p be w(g). Let i = p - -3. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)*(6 + -1). Suppose -2*v + 3 = d*l - 7, 0 = 4*v. Suppose -l*x = -33 - 11. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.506 and -67?\nAnswer: 65.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(-1\/22) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.33 - -46.07. Let r = q + 0.6. Let v = r + -47. Which is the nearest to v? (a) 0.01 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44310 + 1020?\nAnswer: -43240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/660639 and -109\/7927668.\nAnswer: 7927668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-10) + 2229992\/10. What is r rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-42) + 18\/((-4284)\/697). Let g(z) = -3*z + 1. Let i(l) = 2*l - 2. Calculate r*g(q) - 4*i(q).\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -8*j + 2*j. Calculate the remainder when 68 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from xbhbscnx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y + y - y)*(2604 + 7819*y - 2604).\nAnswer: 7819*y**2 + 15638*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 25*d - 24. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 h when four letters picked without replacement from aaahaaaahhaaaaa.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + 2*w**2)*(146008 - 146008 - 2345*w**2).\nAnswer: -4690*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 = f. Suppose 5*r + f = -4*a, 2*a + 2 = -2*r - 0*a. Is 16 a factor of (4 - 3 - r) + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2231.\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 918791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*z**3 - 107*z - 101*z + 211*z - 2*z - z**3 + 2*z + (-z - 3*z + 5*z)*(-5*z**2 + z**2 + 2*z**2) as y*z**2 + u*z + r + i*z**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 336, 4 in ascending order.\nAnswer: -3, 0, 4, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36165 is divided by 18079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(((-57)\/4)\/(-19)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105885*b**2*r**2 - b**2*r - 8*b**2 - 2283*b - 346*r**2 wrt b.\nAnswer: -211770*r**2 - 2*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 1486735392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*u = 5 + 4, -t = u + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p**2 - 2*p - 17. Let w(u) = 9*u**2 + 2*u + 16. Calculate 5*o(d) + 6*w(d).\nAnswer: 4*d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, 594, -15 in descending order.\nAnswer: 594, -15, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-24))\/((-10)\/8*15\/(-25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 253*u**2 + 1483*u - 590. What is c(247)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*y - 390 + 654*y - 320*y to the form x*y + l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-62)\/10)\/((-3)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibyibyib. Give prob of sequence byy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3630a - -19?\nAnswer: 36327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*(51 + -52)*(-300)\/2 and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = q. Suppose 5*t - 18 = -q*z, 4*z - 15 = 1. Solve t*j + 0 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 8 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 557940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2609 + 2608. Let n = 0.2 + 2.2. Let f = n + -2. What is the third biggest value in y, -1\/3, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -565*v + 582*v - 215169. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 3. Let u be y(-3). Let q(c) = 2797 - 2793 + c**2 - 2*c**2. Give q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -409453\nAnswer: 2\/409453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/10 - (-2)\/4. Let b(o) = -29*o**2 - 4*o - 1. Let m be b(-1). Let n be 18804\/a - (-28 - m). Round n to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 427\/6. Which is the nearest to 2\/9? (a) -0.4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3 + 2)*-2)\/(-3). Let h = -63.063 + 63. Let n = h - -5.063. Which is the biggest value? (a) -3\/5 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1429 + -1429.1703. Let f = -0.170300699 - i. Round f to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5*f**4\/12 + f. Let h(d) be the second derivative of 1\/3*d**3 + 0*d**2 - 11*d + 0. What is h(z(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plj when three letters picked without replacement from pjppljjjppllllm?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i - 21806 + 2892 = 49*i + 3556 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2859007 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 5 = -5*z, 3*j = -4*z - 8. Let f = j - -3. Let y(r) = r**2 - 6*r + 5. Does 9 divide y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*p = -r - 6, -34 = 3*r - 5*p. Put 0, r, -1\/2, 7 in decreasing order.\nAnswer: 7, 0, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 83. Let k(y) = 7*y - 23. Let s be k(6). Let x be d(s). Is 2\/7 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1010, 2292, 5748, 12464, 23526?\nAnswer: 40020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + 11.4. Let d = 2146 + -2142. What is the nearest to 0.1 in -0.3, d, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298388 is divided by 9042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1505, -7175, -16809, -30401, -47945, -69435, -94865, -124229?\n\"Answer: u**3 - 1988*u**2 + 287*u + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 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: Collect the terms in -879 - y**2 + 879.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*((-102)\/(-561))\/(-2)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.061 in 1\/4, 333, -0.0199, 3\/7?\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.05 - 0.05. What is the third smallest value in -3, -4, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197983448 or -197983449?\nAnswer: -197983449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.6 + -9. Let t = b - -12.4. Let f = -13.036 + t. What is f rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 8. Let s(w) = 8*w + 9. Let n(u) = -7*r(u) + 6*s(u). Let d be n(-7). Let v = -3.6 + 3.2. Sort -3, d, v.\nAnswer: -3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75885465 by -100245.\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.881 and -0.3.\nAnswer: 1.1643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:46 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4236 and 3883?\nAnswer: 46596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*y - 26 - 3, -2*t + 2 = 2*y. Let p(m) = m**2 - 6*m - 6. Let h be p(7). Which is the nearest to h? (a) y (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p - 22. Let t be f(3). Solve -z + 2*z = -5*w - t, w + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 755, 764, 777, 794, 815?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(18)\/sqrt(24))*1.\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2 + 0*n - 3*n)*(2*n - 3*n + 2*n) to y + j*n + l*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhj when three letters picked without replacement from {q: 2, h: 1, e: 1, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230580352, 230580353, 230580354, 230580355, 230580356, 230580357?\nAnswer: 230580358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 0. Suppose a - 5*a = z. Suppose g - 120 = -2*u + 63, -3*g - 2*u + 565 = a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 - -5 - (-7 + 3 + -24)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**3 - 16*j**2 + 15*j + 10. Let s(i) = 30*i - 8*i**2 - 23*i + 4 - 5*i**3 + 5 - 4. Let u(x) = -6*n(x) + 13*s(x). List the prime factors of u(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210962.\nAnswer: 2, 19, 84499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 4032\/(-660) - -2)\/((-4)\/((-40)\/(-3))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 52 + 3*g - 63)*(0*g - g - g).\nAnswer: -2*g**2 + 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 0.1, 2\/67, 1, 7538.9, 2\/5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13876 is divided by 4618?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -7*d**3\/3 - 15. Let s(p) = 2*p. Determine s(f(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - -1330433230?\nAnswer: 1330433043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + c - 63 = 5*c, -25*s + 54 = -23*s - 4*c + 8*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.2 (b) -2\/5 (c) 62 (d) 3\/4 (e) 4 (f) 0.05 (g) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22261\/116 + 1266\/29. Let g be (1\/2)\/(1\/298). Let w = g + j. What is the closest to 1 in -0.4, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-49)*21\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 23 - 23 + ((240 + 580 + 593)*(-1 + 1 - 2*o) + (2*o - 4*o + 3*o)*(-4 - 1 + 4))*(3*o - 4*o - o) to the form y + q*o + k*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o - 1. Let l be t(-6). Suppose 5*p + 3 + 2 = 0, 3*c + 71 = p. Let f be -1*(-2)\/c*27\/6. What is the closest to 0 in l, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a - 1. Let u = 465 - 320. Let q be (u*360)\/(a\/40). Round q to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 7*g**2 - 124*g + 889. Calculate r(18).\nAnswer: -4907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 31. Let h be 1 + (-1)\/(-2)*b. What is the second derivative of -5*z + h*z + 16*z + 9*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9451 = -2*r + 2*i + 3*i, 4*i - 14165 = -3*r. Let k = -2830 + r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*sqrt(15)\/(sqrt(15)\/sqrt(5)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -54. Suppose 3*z - g*n - 11 = 0, 4*z - 7*z - 3*n + 6 = 0. Factor -4\/5*d**2 + 21\/10*d + 1\/10*d**z - 9\/5.\nAnswer: (d - 3)**2*(d - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67633 to the nearest 100.\nAnswer: -67600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -11*z. Let l = z - 5. Let a(y) = -y**3 + 8*y**2 - 10*y + 3. Let u(m) = -m**3 + 7*m**2 - 9*m + 3. Let c(k) = l*a(k) + 6*u(k). Give c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:27 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 51\/4, 0.3, 1\/22?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 2*t)*(99 - 51 + 66*t**2 - 50) - 3*t**3 + 0*t**3 - 5*t**3.\nAnswer: -140*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71666 and 20.\nAnswer: 716660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201223632?\nAnswer: 2, 137576477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25287 - 25286.999981902. Round w to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/3 + ((-10)\/15)\/(-1). Solve -y*b = -1 - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930566?\nAnswer: 2, 7, 13, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37 equal to 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -1280 (c) 23\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1024*c**5 + 6*c - 215.\nAnswer: 20480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -38543536*t. Let c(a) = -a**2. Calculate c(n(f)).\nAnswer: -1485604167383296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40429.892 - 40430. Which is the closest to -7? (a) 0.3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 479448387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -6.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let t be l(-10). Let v = -9 + t. Let g(r) = -2 - r - r**3 + 2*r**3 - 2*r**3. Calculate g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -7.7. Let u = 55 + -167\/3. Let j be (-13)\/40 + 10\/50. Sort u, j, k.\nAnswer: u, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 139154980*b + 968205422940020.\nAnswer: 5*(b + 13915498)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 19192*d + 633327. Determine m(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*u + 149*u - 2955 - 425*u + 130*u as c*u + o and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -7871892.\nAnswer: 1\/1124556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-98)\/(-4) - -5. Let r = 47 + z. What is the second derivative of -10*m - 5*m - 7*m**r + 15*m**3 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/6)\/1)\/(((-13)\/2)\/13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5)*2 + -5 - (-4*(-2 + sqrt(500) - sqrt(500)) + sqrt(500)).\nAnswer: -8*sqrt(5) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/12))\/(12\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -243187558 and -243187557 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h + 5, -4*h = -o + 15. Let s = -7 - o. Is (s + 0)*14\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -18.254\nAnswer: 18.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.0361561 + -99.03616716. Let g = k - -81. Round g to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 228, 318, 408?\n\"Answer: 90*a + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21979157303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 68, 52, 32?\n\"Answer: -2*d**2 - 6*d + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 16*l**2 + 27*l - 21. What is u(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468755275?\nAnswer: 5, 29, 359, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 219720426501 and -55.\nAnswer: 219720426446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.04 - -2.94. Which is the nearest to 0.2? (a) 2\/9 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3625?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 39*c**2 + 54*c + 1486. Let n(j) = 3*j**2 - 3*j - 2. What is the lowest common multiple of x(-20) and n(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5 (b) 9 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -44. Let t(z) = -z**3 - z**2 - 4*z - 3. What is the remainder when w is divided by t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11275891.\nAnswer: 11, 1025081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 5*l + 10. What is the tens digit of f(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*o**3 - 39510*o**2 - 22564033.\nAnswer: 78*o**2 - 79020*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, a: 2, p: 3, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - 12\/(-3). Suppose 3297*a + 68 = 3314*a. Let f(m) = 4*m**2 - 9*m - 4. Let h be f(3). Solve b + z*n + h = a, 3*b = -n + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790570 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: Expand (71 - 71 - 6*d)*(-2*d - 1 + 1).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 116, 188?\n\"Answer: 72*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.374 - -7.374. Let t = 28.5 + -29. Put t, -5, z in ascending order.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112468 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 124 (b) 19 (c) -2\/7 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.74 - 39.26. Let x = l - -40.0024. Round x to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 4, 1\/3, -16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 - 1 = 0. Suppose -h + 2*p = 6, h + a*p = -h - 36. Let f be h\/(-16)*(1 - -7). Solve f*c - 8 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 16 = 0. List the prime factors of (-1 + 3)\/(b\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258239243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*r + 572 = 2*r, 3*g = -5*r - 808. Let i be 1 + 1 - (-10 + 11). Find the common denominator of 101\/4 and i\/(-5) + g\/(-140).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7*-0.9\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 - 1?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20029922 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24353, 36165, 47977, 59789, 71601?\nAnswer: 83413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = 87*i + 245 - 794 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzvvazvzzzzzzzz. Give prob of picking 1 z and 2 v.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*f = 12, 34*m - 35*m - 19 = -4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164424900 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 6384*i**2 - 12756*i = 0. Calculate i.\nAnswer: -2126, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/88989 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 32*s - 57. Determine u(24).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 100*a**2 - 700*a - 1500 = 0. What is a?\nAnswer: -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -23. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 1368 = 15*r. Solve r = 59*h - 68*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 33 = q + 5*o, 3*o = -3*q + 27. Let a(v) = -q*v + 3*v + 2*v. Let r(s) be the second derivative of -s**4\/12 + s. What is a(r(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*k**4 + 843*k**2 - 160*k + 777?\nAnswer: 1152*k**2 + 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g - 2*g)*(907 - 4136*g**2 + 894 - 1801).\nAnswer: -4136*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*o + 708. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1026.6 - -1026.8. What is the second biggest value in 29, j, 0.065?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**19\/z)**(-23)*z**(1\/4)*z\/(z\/(z**24*z)) assuming z is positive.\nAnswer: z**(-1647\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2247635973.4 + -2247636204.39999889. Let h = 4.19 - -226.81. Let q = h + b. Round q to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3224 or 3233?\nAnswer: 3224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsyvtnvvsv. Give prob of sequence ny.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1188\/135)\/((170\/(-595))\/((5\/91)\/1))?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 2. Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2 - 2*j + 2*j + 4*j**2. Let l(d) = -2*d - 18. Let g be l(-8). Let x be q(g). Calculate the highest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = -4*x, -5*h - 3 = -5*x + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 10*s**2 - 12*s - 3. Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 144*z**5\/5 + 224*z + 291. Differentiate s(g) wrt g.\nAnswer: 576*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201301 (base 6) to base 14.\nAnswer: 5b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 - 184. What is the fourth smallest value in a, 1, 1\/2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**6)\/n**(-4))**(10\/13) assuming n is positive.\nAnswer: n**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 3, n: 3}. What is prob of picking 1 e and 1 n?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*r + 5465 - 525 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309176471 to the power of 1\/2, to the nearest integer?\nAnswer: 17583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 + 91*a**2 + 3*a + 98. Let p(o) = 5*o**3 + 46*o**2 + o + 56. Calculate 7*p(c) - 4*w(c).\nAnswer: -c**3 - 42*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:56 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - -29 - ((-244 - -37) + 222).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 - m - 5. Let z be (4\/(-2))\/1 - 19. Let y be (-2 + -1)*(4 + z\/9). Let o be h(y). Solve 3*g - 15 = -5*f, o*g + f - 3 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340366 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -143 in decreasing order.\nAnswer: 7, 1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.996 - -333.4663.\nAnswer: 325.4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242) - 2*sqrt(242) - sqrt(2))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 48 + 24 = 0. Solve 2*o - 4*k + 16 = 0, -3*k + 10 = -w*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319343836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -15 + (4 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-126)\/27 + 2\/(-6). Let d be (0\/(o - 0))\/(-1). Suppose 0*w + 28 = w + 5*h, d = -w + 3*h + 68. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1 + (-272 - 12\/(-3))). Suppose u = 29*r - 1471. Let y be 43 + 1 - 2 - 2. What is the greatest common divisor of r and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 42*m + 7560 = 0. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3\/(-4))*-768. Let c = h + 6167\/6. Let p = c + -19\/6. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:13 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 2, v: 1, b: 1, q: 8, i: 1}. Give prob of sequence iw.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -l + 11, -2*z = -3*l - 5*z - 12. Suppose x + l + 25 = 0. Let i = x - -54. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 142*p + 185. Let h be s(29). Suppose -28 = -2*i - 0*i. What is the greatest common divisor of i and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -18, -12, 14, 66, 150, 272, 438?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -2*f + 15 = 2*h + h, -n*h = -f - 9. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200168177 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/486 and 17\/27.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(24)\/sqrt(12) - (sqrt(4)\/sqrt(2) + -5)**2.\nAnswer: -22 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 5\/3, 0.0179, -14?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t, 2*j = 5*j + 5*t - 206. What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 114 - 114. Let p(d) = 5*d**2. Let f(m) = -85*m**2. Let b(r) = -2*f(r) - 35*p(r). Give b(u(x)).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*k**2 + 229*k**2 - 114*k**2 + (3 + 1 - 5)*(-5*k + 3*k + 0*k)*(k - 4*k + k - 3).\nAnswer: -33*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 6:28 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 35. Let f be (6\/(-4) - v)\/((-3)\/8). Let o be f*((-70)\/72 - 4\/(-18)). Solve -l = o*i - i - 1, i = -l - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-2)\/10. Let s = 2\/15 + -23\/60. Let n = 0.01 - -0.09. Which is the nearest to s? (a) y (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -1 - 0)*16. Let t be (-7*(-6 - -12))\/(-1) + 2. Let d = t - g. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15169659937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - ((-75)\/9 + 1). Let d(r) = -r**3 + 7*r**2 + 2*r - 9. What is the units digit of d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*p = -21 + 2, -3*c + 3*p = -3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 6*t - 14940. Suppose -20*m = -23*m + t. Suppose 3*j + 5*v + 226 = m, -5*j - v + 1014 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.2. Let r = -0.16 - z. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7908\/792 + -10)\/(((-7)\/2)\/(-7))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*q + 232, -3*q + 54 = -2*q + 4*d. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsffffflssflsfsfss. Give prob of sequence llss.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1474062\/30*(-10)\/(-44). Let w = 11170 - v. Find the common denominator of w and 109\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432)*-1)**2 - (-2*sqrt(432) + 1).\nAnswer: -1297 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**18\/(r**3\/((r\/(r**(-34)\/r)*r)\/r)) assuming r is positive.\nAnswer: r**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.83 + 0.17. Let y = -0.01 + 0.31. Suppose -a - 5*r = -20, 0 = 2*r - 10 + 2. What is the smallest value in o, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66033 divided by 7?\nAnswer: 66033\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002624 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006681*d + 1006547*d - 2013220*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 33*u - 33. Let r be h(-32). Let p(x) = x**2 - 3*x + 21. Let c be p(0). Let z = c + -15. Put -4, r, z in descending order.\nAnswer: z, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 2*i**4 + 7*i**3 - 3*i**3 - 3 - 5*i**3 to j*i**3 + g*i**4 + d*i**2 + b + u*i and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97632 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*o**3 - 3*o + 1734*o**3 + 3*o + 0*o.\nAnswer: 2973*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 - 339. Determine i so that -4*i**3 + 33*i + 26*i - 36*i**2 - 208 + 87*i - 25*i + p*i = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x + 18 = 8*x - 78 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 66. Suppose -t + 26 + y = 0. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195644 is divided by 57?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878166051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891 and 965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 582551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 1.6 (c) 0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303212 + -111332111?\nAnswer: -113301323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -194399260 - -1?\nAnswer: -194399259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:23 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -162. Let u = 0.5 - 1. What is the smallest value in v, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -340, -342, -344, -346, -348?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2. Suppose 0 = 3*f + 3*f - 306. Let c(g) = 51 - g - f - 2*g. Calculate c(a(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-138 - (5 + (-2 - 10) - (-79 - -82))).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 116\/3321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -35. Suppose -7*s - 13 = -6. Calculate the remainder when w is divided by (-2*s\/8)\/(6\/264).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113065.\nAnswer: 5, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2485 or 2493?\nAnswer: 2493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18041 (base 9) to base 14\nAnswer: 475c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i - 1. Let c(n) = -27*n - 62. Let y(z) = c(z) - 4*f(z). Determine y(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. What is the smallest common multiple of 5 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*v**4)*(-2 + 3 - 3) - 1 - v**3 + v**4 + v**3.\nAnswer: -3*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 5511614?\nAnswer: -5511620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*k + 24 + 31 = 0, 77*o + 4*k - 44 = 73*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 47*r - 63. Let x be h(-22). Solve 3*t - 2*t - x = -j, 3*j - 11 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**2 - 12*q - 2. Let l(h) = 30*h**2 - 26*h - 5. Calculate 9*f(z) - 4*l(z).\nAnswer: 15*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, a: 2, r: 1, c: 1, z: 2}. What is prob of sequence zrb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5835 divided by -1.\nAnswer: -5835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*l + 3*l**2 + 105*l + 3*l**2 - 4*l**2 + 2007 - 2007.\nAnswer: 2*l**2 + 184*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7229 (base 12) to base 15.\nAnswer: -3a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 * 522131\nAnswer: 3393851.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.04 (b) -2 (c) -5.32 (d) 0.3 (e) 0.5 (f) 0 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 4*j**4 - 2*j**4 + 4*j**2 - 2*j**4 - 4*j**2 + (0 - j + 0)*(-3*j**3 - j**3 + 5*j**3) - 3 - j**4 + 3 + 10*j**4 + 0*j**4 - j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-8)\/72 - 62\/(-6). Let p(v) = 3*v**2 + 13*v - 23. What are the prime factors of p(w)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.144407, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 2490563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = -x - 0*x, 2*x + m = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = -6. Let l(i) = 6*i**2 - i + 1. Is l(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6083 - 6083.5. Let k = -0.18 - 1.42. What is the closest to -3 in f, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*l - 55*l - 245 = 0. Solve 5*x = -l*a + 5*a - 11, -3*x = -2*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from wxwxwxxx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let k be ((-24)\/(-20))\/(150\/250). Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 3 (c) -1 (d) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -276 + 250 + -1 + -17?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/1161 and -29\/11352?\nAnswer: 102168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -932. What are the prime factors of v?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 p, and 1 l when four letters picked without replacement from {p: 3, l: 1, b: 4, e: 5, k: 1}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxyrqyrxwx. Give prob of picking 1 r and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34091624 divided by -5012\nAnswer: -6802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3906523, 7813056, 11719589, 15626122, 19532655?\nAnswer: 23439188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = -2*n, p - 61*n = -63*n + 14. Factor 3*y + 0 + 5\/2*y**p + 1\/2*y**3.\nAnswer: y*(y + 2)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 6*c. Let j(t) = -16*t - 12. Calculate z(j(y)).\nAnswer: -256*y**2 - 480*y - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.624815998 to 2 dps.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/165 - s**5\/55 + s**4\/66 - 8*s. Factor f(q).\nAnswer: 2*q**2*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -882 - -1777. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4829, -6447, -8067, -9689?\nAnswer: -11313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -475960 divided by 95192?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 2, 22 = 5*u + 2*y. Calculate the common denominator of 1155\/(-90) + u + 0 and 1 + (119\/6)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 9 = 50*o - 55*o, -3*m + o = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1886, -3737, -5588, -7439?\n\"Answer: -1851*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 5\/43, 0.25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -71. Let f = -3.5 + 3. Let t = -5.5 - f. What is the closest to -1 in t, z, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176075 - 169573 = -7*q - 31*q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/7 + 33*r**2\/7 - 75*r\/7 + 39\/7.\nAnswer: 3*(r - 1)**2*(r + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277 - (-8 - (4\/2 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -61, -58, -21, 62, 203?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -958 or -0.06681?\nAnswer: -958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cijc when four letters picked without replacement from cikzcjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*u - 10, 0 = -8716*g + 8719*g + 3*u + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/46)\/3*4. Let s = f - 19\/46. What is the nearest to -0.1 in s, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (38 - (8 - 17))) + -81.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224061029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8382627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 530\/(-25) + (-4)\/5. Let i(m) = -15*m - 74. What is the tens digit of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*(b*b\/(b\/(b*b**(1\/11)*b)))\/b*b)*b)\/b**(-1\/6)*(b**0)**(1\/36))**(31\/5) assuming b is positive.\nAnswer: b**(-1891\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 53*t - 308. Let m(f) = 60*f - 309. Let q(v) = -6*m(v) + 7*s(v). What is the remainder when 188 is divided by q(30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8505, -17045, -25589, -34137, -42689, -51245, -59805?\nAnswer: -68369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 31 = -2*j + u, j + u - 18 = 0. Suppose 53 = j*x - 38. Suppose 30 = -z + x*z. Solve -14 = -z*d - 2*t, 15 = 5*d + 5*t - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1692)\/(-47)*2\/(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**5\/20 - 2*n**4\/3 + 5*n**3\/6 - 7*n**2\/2 + n + 2. Let d(w) be the first derivative of z(w). Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*w**6 + 15*w**2 + 39 wrt w?\nAnswer: 8640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 51. Let z(i) = 2*i + 0 + 4*i + 5*i**3 + t - 4*i**2 - 2*i. Suppose -w - 3*w + 4 = 0. Let c(s) = s**3 - s**2 + s + 1. Determine w*z(u) - 4*c(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -9. Put 0.1, -1\/6, n in descending order.\nAnswer: 0.1, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 2*o + 4*o. Let a be (-4 - 1)*4\/(-10). Let j(p) = 3*p**a + p**2 - p**2. Determine y(j(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 98, 12\/11, -29, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(241 - 249 - (-9 + 2)*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 378*a**2 - 3055*a - 436628. Give i(-383).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, 2\/5, -442, 5\/3, -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y)*((-2 + 3 + 0)*(0*y + 4*y - y) - 1 + y + 1 - 3*y + 0*y + 4*y + y + 2*y - 5*y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2026*q - 3 + 1772*q + 5)*(-q - 2*q**2 + 2*q + 0*q**2).\nAnswer: 508*q**3 - 258*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153270*q + 76635*q + 1078*q**2 - 4 + 76635*q to d*q**2 + j*q + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -29*u + u - 2*u + 7*u + 22*u. Let f = -1 - -3. Let j(t) = t - t + f*t. Determine j(d(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36370*p**3 + 3*p - 33?\nAnswer: 218220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 2, f: 1, k: 1}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (-12 - (-1824 + 1824 - (0 + (0 - -2)))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/3)*v))\/(v\/(v**5*v)))\/(v*v**2)**6)**(-35) assuming v is positive.\nAnswer: v**(1435\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1269 + 1265. Put -0.5, -2, 0.04, k in descending order.\nAnswer: 0.04, -0.5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 48. Sort -25, 0.4, z.\nAnswer: -25, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949669126 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2002 and 14313156.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23311202 (base 4) to base 2\nAnswer: -1011110101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a - 42. Let h be t(-5). What is the highest common divisor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1421, 5659, 12695, 22505, 35065, 50351?\nAnswer: 68339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 12. Suppose 10 = -5*j + f, 2*j + f + 2*f - 13 = 0. Let i be j*(-2)\/(-6)*3. Sort i, k, 3 in increasing order.\nAnswer: k, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14*l = -15*l - 866, 5*s - 3*l = 2164. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/111 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2647230 divided by -529446\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58126 by -32.\nAnswer: 29063\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1030758 (base 9) to base 4\nAnswer: 2012231000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 406 + 5570 = 0. Let m = -993 + t. Let w(a) = 3*a - 10. What is w(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1147\/71 - -85343\/5964. What is the common denominator of y and 51\/10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17*b + 2 = -16*b, 5*b = 2*r - 2. Let c be -6 + (6 - r) - 6. Let v(i) = i**2 + 3*i - 21. Determine v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 10. Let q be (-275)\/s*(-8)\/10. Let u = 33 + q. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 13*n**2 - 12*n - 11. Determine j(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*z + 21 = 0, 4*c = -3*z + 2 + 5. Differentiate -3 + 2*k**3 + 5 + c*k**3 - 4*k**3 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 181.0000045. Round u to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19061 is divided by 908.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 1. Let l(o) = 77*o**2 - o - 5*o + 2*o - 81*o**2 + 23. Let x be (4\/2)\/((-1)\/2). Let n(z) = x*a(z) + l(z). What is the derivative of n(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 6*z. Let s = 152 + -147. Let j(x) = 6*x**2 + 9*x. What is s*j(l) - 7*w(l)?\nAnswer: 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/21)\/(59367\/151116).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289 + -327. Sort -8, t, -1 in descending order.\nAnswer: -1, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3 in ascending order.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-32)\/(-8) - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5675*g**4 - 47*g**5 + 5675*g**4 + (0*g**3 - g**3 - g**3)*(-g**2 + 6*g**2 + 0*g**2).\nAnswer: -57*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c - 34*c - 43*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(2360\/826)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -2*p, 2*m + 10*p - 7*p - 10 = 0. Let h(n) be the third derivative of 1\/210*n**m + 22*n**2 + 0 + 1\/28*n**4 + 0*n**3 + 0*n. Factor h(q).\nAnswer: 2*q*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94.59 - 2.41. Let v = g - -101.3. What is v rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1002222220?\nAnswer: 1010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*a**3 + 1498070*a**2 + 317635*a - 1180270 = 0 for a.\nAnswer: -9079, -1, 26\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86830 and 28621910.\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)\/c**22)\/(c\/(c\/(c\/c**(-9))))**(2\/45) assuming c is positive.\nAnswer: c**(-355\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -1566, -3396, -5822, -8766?\nAnswer: -12150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324162632 - -0.011.\nAnswer: 1324162632.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + m**2 - 2*m**2)*(-12*m + 21*m**2 - 19*m**2 - 7*m) to l*m + v*m**4 + j + f*m**2 + i*m**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 - 3*o**3 + 0*o**3 + (-3*o + 6*o - o)*(-3*o - 5*o + 6*o)*(-o + 2 - 2).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/336 and -53\/147.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 2*w**6\/15 + w**5 + 3*w**4 + 14*w**3\/3 + 4*w**2 + 26*w. Factor l(p).\nAnswer: 4*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d. Let a(o) = -16*o + 8668. Calculate a(k(f)).\nAnswer: 128*f + 8668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/((-36)\/15)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 29*m**2 + 80*m - 34. What is p(26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31816423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -28, 1, 4, 10 in increasing order.\nAnswer: -28, -4, 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/17 (b) -23399 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(5 - n - 5)*(-15*n - 21*n + 10*n) to o*n + v*n**2 + q and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 5, b: 3, i: 1}. What is prob of sequence bmi?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83066\/187 - -4960\/11. Let i = l + 955\/68. What is the common denominator of i and -55\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 x when three letters picked without replacement from {t: 1, x: 2, z: 1, g: 1, p: 1, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/(-2))*8\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 - a + 1617. Let q(h) = h**3 - 2*h - 20. Calculate q(c) - 2*y(c).\nAnswer: -c**3 - 2*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130130211 (base 4) in base 11?\nAnswer: 7a5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3153*j - 3814*j + 3632*j - 2958*j)*(-2 + 4 - 6)*(-3 + 3 + 1)*(j - 4*j + 5*j).\nAnswer: 50344*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((-3)\/(-4)). Let k(r) = 26*r**2 + 4*r + 4. Let a be k(m). Calculate the highest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(-1*sqrt(300)*1 + sqrt(300) + -4 + sqrt(300) + -1)**2 - (-2 + 3*sqrt(300) + sqrt(300) - (2 + sqrt(300) + 4)**2)*4.\nAnswer: -275 + 820*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 20*c**2 + 19*c - 30. Let b be u(-21). Suppose b*v = 8*v + 12. Suppose 1\/3*a - 1\/2*a**v - 1\/6*a**4 + 1\/6*a**5 + 0 + 1\/6*a**2 = 0. Calculate a.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*x + 79*n**3 - n**2*x + n*x + 146*n wrt n?\nAnswer: -12*n*x + 474*n - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -4*y + 28, -5*l = -2*y - 66 + 85 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**3 + 18*t**2 - 224*t - 5. What is the units digit of s(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**(-3\/7)*(k**1)**(-6\/23) assuming k is positive.\nAnswer: k**(50\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.3, -226963, 1\/9 in descending order.\nAnswer: 5.3, 1\/9, -226963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7527 + 7575 = 8*t. Let i(w) = 10*w**2 - 60*w - 6. Determine i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 6*l + 14. Let q(d) = -21*d**2 - 24*d - 56. Let j(m) = 2*q(m) + 9*y(m). Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4383 is divided by 134.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -46. Let r be 2 - m - (0 + (-2)\/(-1)). Suppose 66 = 4*l + 6. Is l at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 - 9 + 9)*(-2 + 5 + 3) - 3*l**2 + l**2 - 2*l**2 + 3 to f*l + o + n*l**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -241310422?\nAnswer: -241310412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*i = 8776 + 15015 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2565.879 microseconds?\nAnswer: 0.002565879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4\/11, 3, 4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -45. What is the highest common divisor of 70 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3818*p**4*r**2 - 5*p*r**3 + 2*p + 5247*r**3 wrt p.\nAnswer: 15272*p**3*r**2 - 5*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 49831*l**2 - 3*l - 4. List the prime factors of w(-1).\nAnswer: 2, 3, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5230*b**3 - 1 - 2622*b**3 + 1 - 2607*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u**2 + 2*u - 6. Let b be h(3). Let d be (b\/(-3))\/(14\/91280). Round d to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2983118, -5966244, -8949372, -11932502?\n\"Answer: -a**2 - 2983123*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 39 = d - 63, d - 3*u = 90. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789636*n + 394822*n + 394823*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 88130?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -402*v**4 - 393*v**4 + 794*v**4 + 2*v - 87 + v**3 as s*v**2 + m*v + k*v**4 + b + f*v**3 and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121010110 - -122?\nAnswer: 1121011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1330453947 by -3.\nAnswer: 443484649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -16*z**3 - 7*z**2 - 17*z - 11. Let o(p) = -19*p**3 - 7*p**2 - 18*p - 12. Let n(a) = -6*h(a) + 5*o(a). Calculate n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1704*k**2 - 2*k - 2219 wrt k?\nAnswer: 3408*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44650 and 50.\nAnswer: 44650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/3 + 10*n**2 - 28*n\/3 = 0. Calculate n.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 2. Let t be p(3). Suppose 7 = -c + 2. Sort c, t, -3 in decreasing order.\nAnswer: t, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, -3, -37, -105, -219, -391, -633?\n\"Answer: -2*n**3 + n**2 - n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 47520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*125162.\nAnswer: 375486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4893 - 4820. Solve -m = 15*f + 17 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 6*x - 5*x - 2 + 2 - x + (3*x - 6*x + 5*x)*(4 - 5 + 2))*(0 + 0 + x + (2 + 2 - 2)*(0*x - 3*x + x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/130394 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -56) + -55 + 14 + (17 - (2 + 1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -33. Let d(x) = x**3 - 14*x**2 - 12*x + 2. What is the units digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:24 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84089.9622 to the nearest 10.\nAnswer: 84090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 + 8283\/40590. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -55, 12.4, -207, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126650450*s**4 - 133815071 wrt s?\nAnswer: -506601800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 16.3, -0.3, 5, 2, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 7 + 9. Let b(a) be the third derivative of -a**4\/4 - a**3\/2 + 2*a**2. Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -171, -255, -339, -423?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -v + 4*u + 15, -3*u - 12 = 0. Suppose v*y = -y + 420. Calculate the greatest common divisor of 42 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*f + 21, 5*j = -3*f - 31 + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 24*c - 751. What is d(-34)?\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**3 - 17*b**2 + 2*b - 9. Let a(k) = -5*k**3 - 9*k**2 + k - 5. Let y(r) = -7*a(r) + 4*f(r). Determine y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/4, -8.1606, 80, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 63, 79, 99, 123, 151?\n\"Answer: 2*g**2 + 6*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1008 by 18.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -18864 < -18863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13047*s - 14652. Let a(p) = -8698*p + 9763. Let q(z) = -8*a(z) - 5*h(z). What is the derivative of q(k) wrt k?\nAnswer: 4349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**8\/2016 + d**7\/315 - d**6\/120 + d**5\/90 - d**4\/144 + 32*d**2. Factor x(s).\nAnswer: -s*(s - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13313202 + 1?\nAnswer: -13313201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3\/5 + 6*v**2\/5 + 76*v\/5 - 144\/5 = 0. Calculate v.\nAnswer: -9\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > -10089927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (179 - 188) + (435\/(-12))\/(-5)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 1:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 30. Let l = v - 7. Let m(n) = n + 2. Let a(b) = 6*b + 9. Let i(h) = 2*a(h) - 11*m(h). Give i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.5 (c) 0.0131 (d) -0.4 (e) 7 (f) 0.6 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**3 + 54*m**2 - 631*m - 4348. What is n(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6262 + 27962. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -116167.\nAnswer: -54\/116167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1413 and 210851?\nAnswer: 1897659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81612*b**2*s**3 + 98432*b**2*s*z - 13*b**2 - 26*b*s**3*z - b*s**2 + 2*b*s + 4*b*z wrt z?\nAnswer: 98432*b**2*s - 26*b*s**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 39 = -0*m + m, 0 = -4*z + 12. Let l = m - -33. Find the second derivative of 12*a**3 - 5*a**3 - 8*a + l - 6 wrt a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/2))\/(((-60216)\/208)\/193)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3, -11, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(931))**2 + -3 + (sqrt(2299) - (sqrt(2299) + -2)) + ((sqrt(38)*-1)\/sqrt(2) - sqrt(19))**2.\nAnswer: 28*sqrt(19) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 740, -3\/11, -3\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1693675\/2 or -846837?\nAnswer: -1693675\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 2, b: 1, u: 2, a: 1, h: 1}. Give prob of sequence uo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*d - 2, -4*f - 13 = -f + 2*d. Let y be (-2)\/7 - 23\/f. Let 6*w**y - 5*w**4 + 4*w**4 + 2*w**4 - 6*w**5 - 4*w**4 + 3*w**2 = 0. Calculate w.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + 41*q**2 + 30*q + 15. Calculate i(-13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 1.7. Let f = 1 - n. Which is the closest to 1\/5? (a) -0.5 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925645 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161683051.\nAnswer: 161683051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 162*k**7\/35 - 4775*k**3\/3 + 2*k**2 - 333. Differentiate w(b) with respect to b.\nAnswer: 3888*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiiiici. What is prob of sequence ici?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -20811166 smaller than -20811165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*w + 31*w - 25*w - 57*w to j*w + l and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = 1, 16 = x - 4*j. Suppose -2*k - 4*t + 12 - 2 = 0, -4*k + 2*t = x. Let c = k - -6. Solve 0 = -u + 3*h - 3, 3*h - 8*h = c*u - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/22 and -193\/630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -24 = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516 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 is prob of picking 1 b and 3 j when four letters picked without replacement from bbbjbbbjbbjjbb?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdbb when four letters picked without replacement from ddbbbbbbb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 121*b - 8825 = -116*b, 3*v = -2*b + 5280. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2612106, -5224216, -7836326, -10448436?\nAnswer: -13060546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3489 + 7*r + 16*r + 3487. Let b(t) = 5*t**2 - 6*t**2 + 0*t**2. Calculate b(d(i)).\nAnswer: -529*i**2 + 92*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 724 + -514. Let m = i - 209.6. Which is the closest to 0? (a) -3 (b) 0.1 (c) m (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(13) - sqrt(13)) + (sqrt(1300) - (sqrt(1300) + sqrt(1300) + 1)**2).\nAnswer: -5204 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2635\/(-7378))\/((-3)\/18).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.062717 rounded to 1 dp?\nAnswer: 34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173710 - 173715. Let n(s) = -s**2 + 5*s - 3. Let j be n(4). What is the fourth smallest value in 4\/7, 2\/13, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2355149147 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5186.\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5767735150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 63, 125, 223, 363?\n\"Answer: w**3 + 9*w**2 - 2*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 6. Let q(c) = c. Let o(d) = -f(d) - 4*q(d). Find the first derivative of o(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (10\/(-1))\/2. Suppose -i*p - 2*t + 49 = -p, -4*t + 3 = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3152312 * -181.\nAnswer: -570568472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132086, 132085, 132086, 132089, 132094?\nAnswer: 132101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 4\/7 (c) -4 (d) 0.06 (e) -690 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(9\/(-72)). Suppose 724 = 2*i + 4*r, -w*i = -9*i - 3*r + 1796. Suppose 0 = 4*l - 3*n + 5*n - i, -l - 2*n + 88 = 0. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - a - 8 = 2, -4*l = -3*a + 3. Suppose 0 = l*r + 4*q + 6, -2*r - 8 = -5*q - 27. Let z**2 + z**r - 14*z + 18*z = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 1. Let c be v(3). Let p be (-5)\/(c + (-98)\/(-50)). Suppose 0 = 5*o + 5*x - p, 15 = -4*o + 5*x + 79. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 5*j + 11*j + 2*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -18. Let l = r + -9. Suppose -l*y = -8*y + 8. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 38. Suppose -x + i = 3*i - 16, i - r = -4*x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 8 = 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146848011 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186490 or 301?\nAnswer: 186490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 61. Let m be 8\/10*h*10\/(-4). Sort -2, -5, m, 3 in descending order.\nAnswer: 3, -2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose -l*q + j = -5, -j + 4*j = -2*q - 1. Let t(a) = a**2 - 1. Give t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 12143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:15 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/12 - 5*c**3\/6 + 2*c**2. Let l be (6*-1)\/((-2)\/2). Let i be q(l). Solve 4*o + i = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 227653 + 40151 = 56978. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.28799 litres in millilitres?\nAnswer: 85287.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 bigger than 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 4, e: 1, l: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {y: 1, r: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50236)\/35694)\/(((-9)\/27)\/(1\/((-2)\/2))).\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*x - 21, 7036*k - 2*x - 14 = 7041*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 20. Solve -m*s + 0 = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*j + 2*l - 95, l + 1 = 0. Calculate the remainder when 192 is divided by j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 31 = 3*i. Suppose m = 51 - i. Solve -5*l + m = 4*h, 6*h - 26 = h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 51 = 53. Put 34, o, -5 in descending order.\nAnswer: 34, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62033959898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-12)*-4)\/((-26)\/(-897)). Sort -4, -2, l in increasing order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 8)*(3 + 1 - 3)*(2 - 4 + 3)*(5 - 3 + 1)*(4*a + 1 - 2 - 6*a) - a + 2*a + 2*a.\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441930 is divided by 1227?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 626 + -608. Is 32 + (40\/(-180))\/((-2)\/i) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - (20 + -31))\/3. Which is greater: -2\/76809 or z?\nAnswer: -2\/76809","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159402 times -31\nAnswer: 4941462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/69114 and -137\/138228.\nAnswer: 138228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1212 - -74337?\nAnswer: 73125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1010022 (base 3) to base 6\nAnswer: -3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39100 and 26520.\nAnswer: 3049800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*b + 34 = b, -4*b = m - 22. Suppose -m = -2*s + 2*o, -o + 4 - 2 = 0. What is the third derivative of 2*v**2 - v**2 - s*v**5 + 3*v**5 wrt v?\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142236926 and 25194.\nAnswer: 8398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 129, 75, -33, -213, -483?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 1) + 3)\/((-158)\/(-474)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887310.6km to nanometers.\nAnswer: 887310600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -570, -563, -558, -555?\n\"Answer: -s**2 + 10*s - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(3087))**2 + sqrt(63))) - 2*(sqrt(343) - (sqrt(343) + -5)).\nAnswer: -3098 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/441 in 5, 3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 42*q**2 - 72*q - 55. List the prime factors of j(39).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000535329619 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3489*h**3 + 72*h**2 + 313*h + 11. Is c(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {v: 1, w: 4, i: 6, g: 3, s: 2, m: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.22 + 2.78. Let x = -17.8 + 25.8. Are x and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -1\/6*y**3 + 0*y**4 + 0 + 0*y + 1\/60*y**5 + y**2. Let z(l) = -4*l**2 + 3 + 5*l**2 - 5. Determine 2*o(n) - z(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16082 divided by -473\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -70. Let r = -9 - -4. Sort a, r, -2 in ascending order.\nAnswer: r, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) 1\/7 (d) 153\/440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40545, 40728, 40953, 41226, 41553, 41940?\n\"Answer: z**3 + 15*z**2 + 131*z + 40398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-104))\/(2\/8). Let h = 65\/423 - 1958\/1833. Let b = m - h. Put b, -0.2, 1 in ascending order.\nAnswer: -0.2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 2883.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/52*2\/(-69)*10\/(-20)*4?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*l - 20, 2*v + 3*l - l = -8. Suppose -5*n + v = -5. Is (1\/1 + n)*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2169\/2 + -1087. Find the common denominator of i and -33\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51\/25 - 22618\/11075. Let i = -439\/1772 + x. Which is the third biggest value? (a) -2 (b) i (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-132))\/((9\/60)\/(-3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292505097 to the nearest integer?\nAnswer: 35951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 138*p + 137*p = 1358, -3*s - 5*p = -1030. Calculate the remainder when 1382 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = -18. Suppose 57 - s = i. Suppose 0*n = -2*n + 4, 4*n = 4*a - i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 9*w - 7. Let d(g) = -7*g**2 + 1. Let t be d(-1). Calculate the remainder when 41 is divided by v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 98. Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9888.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3\/2 + 3531*d**2 + 1247502*d + 498436 = 0.\nAnswer: -706, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54835733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 120*f**3 + 1074*f**2 - 2520*f + 1323.\nAnswer: 3*(f - 1)**2*(f + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, 10, 2, -3 in ascending order.\nAnswer: -3, -2, 0, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.23197\nAnswer: 0.23197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 2\/5, -0.1 in decreasing order.\nAnswer: 2\/5, 0.09, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.49 - 0.69. Which is the closest to w? (a) 3 (b) 0.01 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w + 2 - 18*w + 36*w. Determine s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/6*2\/1. Suppose 5*x - 2*o - 8 = 0, 5*x + o - j = 2*x. Solve x*u + 1 = -4*z + u, 0 = -4*u + 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272.008633 + -272.09. Round n to three decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-21)\/(-9))\/(((-279)\/(-27))\/31).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/12 + 7*t**3\/6 + 3*t**2\/2 + 2*t. Let b be g(-7). Solve -1\/4*h**b - 1\/2*h**2 + 0 - 1\/4*h = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 58 = 13. Calculate the remainder when 72 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(936) + (-1*sqrt(936) - sqrt(936)) - sqrt(26))\/sqrt(2))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2032 + 0?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/2 - 23*i. Let c(u) be the first derivative of -u**3\/3 + 5. Give c(f(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13957730 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -62.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*p + 490 + 93 = -417 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38346, 38313, 38272, 38223, 38166?\n\"Answer: -4*o**2 - 21*o + 38371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:32 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.0744015?\nAnswer: 0.1255985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 51\/78 - (-15)\/(-6) - -7. Which is the biggest value? (a) v (b) 0.3 (c) -2\/151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.0289, 5.\nAnswer: -2\/11, 0.0289, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 + 0 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11725889 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*(-16)\/(-28). Suppose 2*d - 35 = 5*p, -2*d - p + u = -3. Let n = 10 + -7. Solve -n = d*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and -89\/1260.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**3 + 5*c**2 + 5*c + 5. Let o(x) = 39*x**3 + 18*x**2 + 18*x + 18. Let b(t) = -18*g(t) + 5*o(t). Let b(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-3 + 2 + 8\/2. Let z(b) be the second derivative of n*b**3 + 1\/5*b**5 - 1\/6*b**4 - 4*b + 0 + 0*b**2 - 1\/15*b**6. Factor z(c).\nAnswer: -2*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19514371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 434*m**2. Let d(o) = 62*o + 7. Let s(k) = 18*k + 2. Let l(p) = 2*d(p) - 7*s(p). Determine l(j(g)).\nAnswer: -868*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 + -2 + (7 - 4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 15918*j**3 + 7970*j**3 + 7996*j**3.\nAnswer: 48*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41579\/2 - 21202. Is -413 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56\/3 - 18. Which is bigger: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 34*k**2 + 72*k - 5. Let a be c(-36). Let f(w) = 5*w**2 - 7*w - 5. Let q(s) = -4*s**2 + 6*s + 5. Calculate a*f(p) - 6*q(p).\nAnswer: -p**2 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745566611.\nAnswer: 745566611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9) + 50\/18. Let l(j) = -3*j + 6. Let w be (-4)\/(-2 - 0) - 2. Let s(c) = -5 + w + 3 + c. Determine y*l(v) + 8*s(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-9) - (-150024)\/513 and 2628?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -85.5596 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -341, -383, -457, -563?\n\"Answer: -16*v**2 + 6*v - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2253 and 253907092?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = j + 21, -5*j + 596 = 7*i + 661 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 424*x - 3. Let m(a) = -237865*a + 1684. What is -3*m(l) - 1684*n(l)?\nAnswer: -421*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 237?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/3*((-30)\/18)\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - p - 61 = 0, -3*p + 4 = -7*p. Let l = 28 + m. Is 2 a factor of (l\/12)\/(2 + 4\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*2 + sqrt(70))\/sqrt(10) + 0.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47151549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 203531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 5*f - 4. Let y be v(5). Suppose -2*s = i - 3*i - 82, 4*i + s + 184 = 0. Let b = y + i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 346*k - 335*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3*k - 8)*(6*k + k - k) + (-k + 3*k - 3*k)*(3*k + 1 - 1) in the form h*k + w*k**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8796 - 11558 = 353*x + 12828 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*v - 1179, 2*n - 1857 = -4*v - 683. Suppose 30*c - 456 = v. What is the remainder when 91 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3042, -6285, -9528, -12771, -16014?\n\"Answer: -3243*k + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5 + 5*t + 9*t - 3*t + 9*t. Let i(r) = -30*r - 8. Let o(l) = -8*c(l) - 5*i(l). Let x(y) = -y**2. Calculate o(x(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p**3 + 565*p**2 - 115685*p - 1307625 = 0. What is p?\nAnswer: -75, -11, 317\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 13. What is w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 25 = 7*q. Calculate the remainder when 17 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160569, 160562, 160555?\nAnswer: 160548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*d. Let n(g) = g**2 - 3*g. Let i(c) = -2*c. Let x(a) = d*n(a) + 3*i(a). Let b(p) = -2*p. Calculate b(x(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 12*w**2 + 16*w + 43. Determine l(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -98*i**3 - 3*i - 3. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30375779*p**2 + 45936*p + 132 wrt p?\nAnswer: 60751558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from fcxxffxhcxxfh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1292513617, 1292513619, 1292513621, 1292513623?\nAnswer: 1292513625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 128068200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74732*m**3 + 132*m**2 + 34 - 74731*m**3 - 34.\nAnswer: m**3 + 132*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (19 - 13) - -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/287238 and -67\/34398.\nAnswer: 33606846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 5. Let u = -2430 + 2438. Calculate o(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807100891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/6)\/((-62)\/18). Suppose 11 = -5*m + 16 - 10. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -30 (b) -296 (c) 3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94807488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17348*h + 1026. What is the units digit of y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 4. Let c(r) = 2*r + 6. Let u(z) = 2*c(z) + 3*j(z). Let o(d) = 41*d**2. Calculate u(o(x)).\nAnswer: 41*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15541801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91770073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**4 + 11*m**2 - 11. Let i(t) = -t**4 - 2*t**2 + 2. Let j(p) = 11*i(p) + 2*r(p). Determine s so that j(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -301*m**3 - 3 + 60*m**2 + 36*m + 3*m**4 + 3 + 328*m**3 = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 4*c. Let d(k) = -k + 6 - 2 - 4. Let m(f) = 4*d(f) + v(f). Let g(l) = -6*l**2. What is g(m(i))?\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.074059 - -0.074. What is q rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -411.14 or -13?\nAnswer: -411.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 4*t**2 - t - 4. Let x = -33 + -3. Let b = -40 - x. Calculate g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 316\/675, 7, 0.5, 5 in increasing order.\nAnswer: 316\/675, 0.5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -83.999218. Round a to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5509 + 10510 = 5*g - c, c + 6410 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 + 270. Let r = -0.5 - 0. Which is the nearest to 0.1? (a) g (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 4)\/((-2)\/10). Determine g so that g**3 + 2*g**2 - g**2 + 3*g**2 - y*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - k - 101, 4*m = -4*k + 96. Suppose -4*n + m = -3*t, 3 = 2*n + n + 3*t. Let z(u) = u**2 - 2*u - 3. What is the units digit of z(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 5*t - 8. Let w be o(8). Suppose -11 = -k - 4*j, -5*j - w = -3*k - 0*j. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33527634 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 4)*(-122*k**2 + 18641*k - 18641*k - 2*k**4) to z + y*k**3 + w*k + m*k**2 + j*k**4 and give m.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179701 + 699675 + 143192 + 3*y - y.\nAnswer: 2*y + 1022568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {y: 5, u: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(405)*-5).\nAnswer: -sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 5*w + 6. Let h be q(6). Let l = h - -4. Suppose -8*a + 15 = j - 3*a, l*a - 23 = -3*j. Solve j*s - 5*y = 5, -2*y = 4 - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3)*(-1)\/(8\/12). Suppose -y*s - 2*a = 2*a, -5*s - a = 0. Solve 5*r + 2*j - 13 = 0, 0 = -s*r - r - 2*j + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 + 2*y**3 + 7*y**2 + 2*y + 50. Give d(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 403*s**6\/120 - 145*s**5\/12 - 17*s**2 + s. Find the third derivative of x(f) wrt f.\nAnswer: 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148 - 156 - (8 + 3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47.9 - 48. Is -243 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 27*x - 27. Let a = -801 - -829. List the prime factors of q(a).\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w - 10. Suppose 3*t + 2*t - 5*k = 70, -t + 5*k + 30 = 0. Suppose 0 = 3*x - t*x + 35. Let z(u) = -4 - 15 - 14*u + 4. Give x*z(q) - 8*c(q).\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1 - 2 + 3 - v. Let s be n(0). Find the third derivative of i**3 - i**s + 2*i**2 - 2*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165155.\nAnswer: 5, 17, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31279 - 29374 = 131*h. Which is greater: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 621 = -12*j + 4*j + 5*j, 3*l - 7*j = 28 + 109 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 + -3. Let u = -8057 + 8060. What is the nearest to 3\/2 in v, u, -9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -51 - 37) + 0 + 8 - (-148 - 4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10357.3095 - -10363. What is l rounded to 1 decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -480 and 255353.2321.\nAnswer: 254873.2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = h + 43. Solve a - h = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 85*l + 13982. Calculate j(-163).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(680\/(-45)))\/((-21)\/(-308))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48015903.\nAnswer: 3, 13, 1231177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/361938 and 63\/241292.\nAnswer: 723876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*w - 3108 = 21*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2747*w**2 - 2 - 30861*w**2.\nAnswer: -28114*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**4 + 16*u**4 - 6*u**4)*(-4 + 1 + 5 - 1 + 0 + 3 + 0 - 1 + 0 + (-4 + 5 + 1)*(4 + 1 - 4)) to the form l*u**4 + v + y*u**3 + i*u**2 + f*u and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and ((-3432)\/(-728))\/((-2)\/(-56))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 + 0*q**3 + 7\/24*q**4 + 0*q + 2*q**2. Let p(k) = -3*k**2. Let x(s) = 5*s**2. Let h(i) = 8*p(i) + 5*x(i). Give h(a(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15714 and 756891?\nAnswer: 4541346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, -6878, -16204, -29454?\nAnswer: -46628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 53. Let p = o - -22. Let i be ((-9)\/93)\/(6\/(-4)). Is i smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = 284*k + 272*k - 565*k. What is the least common multiple of 180 and k?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybb when three letters picked without replacement from {b: 4, f: 2, r: 1, y: 2, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/11 - (21\/(-9) - -2). Sort -2\/13, 3, h in descending order.\nAnswer: 3, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1827*r**2 - 3*r + 1. List the prime factors of x(-4).\nAnswer: 5, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 39*v - 18. Let g be l(-20). Solve -1 = -2*m - g*i - 3, -3*i = -4*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/803 and 64\/657.\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 3:42 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/(-22)*-1 - ((-27 - -25) + -3). Put -0.3, g, 1554 in increasing order.\nAnswer: -0.3, g, 1554","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 10. Let d(k) = -k - 1. Let n = -55 - -57. Let i(l) = -l**3 - 3*l - 3. Give n*i(y) + x*d(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 - 145*z. Let m(t) = 28*t**3 + 436*t. Let b(c) = 5*m(c) + 16*s(c). What is the second derivative of b(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -10*s**3\/3 - 25*s**2\/2 + 60. Determine i, given that c(i) = 0.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 10. Let m(n) = -6*n - 70. Let z(d) = 2*m(d) - 14*o(d). Suppose 0 = -4*h - 3*w - 5, -w - w + 2 = 0. Let v = 4 - h. Give z(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 - 2*b - 3. Let o be j(-2). Let c be 0\/((-2)\/((-6)\/o)). Suppose c = 5*w - 29 - 11. What is the highest common divisor of 32 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*j - 42*j - 225. Solve 4*h - j = 13*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p)**(2\/81) assuming p is positive.\nAnswer: p**(-4\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqqjqqnqqqqqjzqqszz. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(2*sqrt(11)*-1 - (3 + sqrt(44)\/sqrt(4))) + -2)*2.\nAnswer: -180*sqrt(11) - 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/5, 4, 12\/17, -64, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2907*f - 2918*f = -44. Let 104\/5*s**2 + 0 + 38*s**f - 228\/5*s**3 - 16\/5*s - 10*s**5 = 0. Calculate s.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2052931 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53998606 - 69669836 = -265*u + 109731805. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 11*r**2 + 3*r - 5*r + (r**2 + 1 - 1)*(-2 - 3 + 3).\nAnswer: -13*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5320.182 + 5255.18398. Let h = 64.09 - -0.91. Let q = h + s. What is q rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 39 - (-8 + -5) - ((-19 - -2) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80173*b**3*f*w - b**3*w - 2*b**3 + 25*b**2*f + b**2*w - 29300*w wrt b.\nAnswer: -481038*f*w - 6*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {b: 3, i: 3, p: 3, z: 1, o: 3, h: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 0.0914084.\nAnswer: 0.0914084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6396787 is divided by 640?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2116*r**4\/7 + 302956*r**3\/7 - 10827312*r**2\/7 + 1876144*r\/7 - 81472\/7 = 0?\nAnswer: 2\/23, 67, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*y + 3\/5*y**2 + 12\/5.\nAnswer: 3*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25244384 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87750 and 12.\nAnswer: 175500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 563*b**2*o**2 - 2*b**2*o + 3*b**2 + 3*b*o**3 + 715*b*o**2 + 4*b*o + b + 2*o - 2 wrt o.\nAnswer: 1126*b**2 + 18*b*o + 1430*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115364 rounded to 6 decimal places?\nAnswer: 0.001154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -13. Let j(x) = 102*x**2 - 406*x + 8. Let v be j(4). Calculate the greatest common divisor of g and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*z - 21943 = 259*z - q, -6*z + 4*q = -43880. What is the highest common divisor of 138 and z?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let y(c) = 2*c**2 + 8*c + 2. Let o(b) = y(b) + 2*z(b). Suppose -3*j + 7*j + 20 = 0. What is the remainder when 39 is divided by o(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 384 = 264. Solve -4*l + n + s = 0, 4*l - 9 = -n + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -1170, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, -280, -1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -4.4856\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 2*z. What is the greatest common divisor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603525574?\nAnswer: 2, 37, 8155751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 4*45\/(-10)*-11.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 81. Find the third derivative of -o*n**4 - 4*n**2 + 0*n**2 + 21*n**4 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4*-1)\/((-12)\/(-16)). Let q be 46\/(-14) - s - 6\/(-21). Suppose 0 = -o - 3, o + 2 = -5*l - 1. Sort l, q, 5.\nAnswer: q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = i - 67, -4*i - 3*a = -2*i - 135. What is the highest common factor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7874702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 4*u**3\/3 + 698362. Let o(g) be the second derivative of g + 0 + 0*g**2 - 1\/3*g**3. Give o(m(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e99c (base 16) to base 11.\nAnswer: -86196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 - 19. Let w(j) = j**2 + 10*j + 58. Let q be w(g). What is the greatest common divisor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, -29, 6, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -317.9022 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4798*v + 19150*v - 4864*v - 4834*v - 4805*v.\nAnswer: -151*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 25*f**2 + 1428*f - 37867. Determine o(26).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*b = 203*b - 162 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5728*i**3 - 5637*i**3 - 70*i**2 - 123*i**2 + 11362*i**3.\nAnswer: -3*i**3 - 193*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -17*w + 14*w - 13, -4*w = n + 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 37 = 4*k, -3*k + 1 = -4*g - 3. Let j(w) = -w + 9. Let s be j(k). Let u be 19 - 249\/12 - (0 + -2). Is u smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58799 and -58802 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 5300950*d**2\/3 + 10601906*d + 15902862.\nAnswer: -2*(d - 7951431)*(d + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -352 + 350. Let z be (19 - 19)*(v - (1 - 4)). Solve -5*y - 4*u - 1 = 0, -4*y + 4*u - 8 = -z*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 7*f**2. Let p(l) = -l**3 + l**2. Let w(i) = 4*p(i) - x(i). Find the third derivative of w(g) wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659432689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 7102?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:54 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - o = o - 8, 0 = -2*m + 2*o + 4. Suppose -3*h + m*t = -9, 5*h - h - 12 = -5*t. Suppose -h*z = -5*z + 32. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcppcccppcccpcppppp. Give prob of picking 4 c.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5))**(-9\/7) assuming r is positive.\nAnswer: r**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -0.7531378923076.\nAnswer: -0.2468621076924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5971480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7637386, -15274785, -22912184, -30549583, -38186982, -45824381?\nAnswer: -53461780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 3*p**2\/2 + 43*p + 4. Let k be x(-15). What is the tens digit of k + 122 - (-1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4 + 4 + 3*g - 6*g. Let y(w) = 2*w + 3. Let l(i) be the first derivative of i + 7. Let r(b) = 3*l(b) - y(b). What is c(r(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4445.739 + -5.739. Let r = -2564 + i. Let p = r - 1886.59. Round p to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 78*c + 1255. Let q be n(7). Do 1802 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -12. Let t = -6 - x. Let f be ((-3)\/13)\/(15\/t). Which is the third biggest value? (a) f (b) 1\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 126. Put p, -5, -3, -4 in descending order.\nAnswer: p, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 8*h - 4. Let p = 39 + -43. Let n(j) = j + 1. Let o(r) = p*n(r) - u(r). Factor o(d).\nAnswer: -4*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1933272963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.9569 millilitres in litres?\nAnswer: 0.7839569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31503, -31507, -31511, -31515, -31519, -31523?\nAnswer: -31527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 2, w: 1, y: 3, z: 13}. What is prob of picking 1 c and 1 w?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -8. Let j = g - -0.6. What is the nearest to 1 in j, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 23 + 12 + (-24 - 3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-144) - (-26945936)\/(-296064).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-306)\/10*(-50)\/(-10). Let w = d + 222. Calculate the highest common divisor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 656 = 2*i, -12*v + 15 = -7*v. Let s = 675 + i. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/7 + -3. Suppose 0 = -2*q + 3 + 1. What is the nearest to 1\/3 in o, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 - -153. Let a = -67 - o. What is the remainder when a is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 + 12*z - 16. Let d be v(7). Let u = d + -13. Let x = 11 + -8. Solve -b - 3*f + 3 = 0, 6 = 2*b - u*b - x*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 2*a + 27. What is d(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9152657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 165418307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*m + 98, 12 = 2*c + 8. Calculate the greatest common factor of m and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 24 = 0. Let z be 2\/3 - (-6099020)\/q. Suppose -843496 = -2*s + z. Round s to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 18 - 162. Suppose -9*t + b*t = 765. What is the remainder when t is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 11*l**9\/3024 + l**6\/30 + l**3 + 3*l. Let a(s) be the second derivative of u(s). What is the third derivative of a(t) wrt t?\nAnswer: 660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 799*m**3 - 6*m**2 + m**2 + 9*m**2 + 289*m**3 in the form p*m + a*m**2 + x + y*m**3 and give y.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 3\nAnswer: -158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 8*o + 3*x - 84 = 0, o + 4*x = 8. Solve 3*f - 30 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -5*b**3\/3 - 51*b**2 - 3. Find the second derivative of u(g) wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327884 times -0.5?\nAnswer: -163942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + d - 0 - 18, -2*d + 15 = 3*l. Let k(b) = -b**3 - 5*b**2 - 5*b - 3. Let f be k(-4). Calculate the highest common factor of f and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338616290 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -13.01, -5\/13, -1\/2, 1?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:37 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 - 15*q + 1. Determine r(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15214 and 19.\nAnswer: -289066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152\/45 + 34\/9. Let v(g) be the first derivative of 0*g - g**3 + 0*g**4 + 0*g**2 - 1 - u*g**5. Find the third derivative of v(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-5)\/((-300)\/(-168)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o**2. Let x(s) = 7*s**2 - 27*s. Let d(q) = -36*q**2 + 144*q. Let t(r) = 3*d(r) + 16*x(r). Let v = 31 - 33. Calculate v*p(k) + 7*t(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9382)\/(-14) + (-4)\/28?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -11.95. Let p = 5.05 + h. Let n = 614\/7 - 88. Put -0.1, n, p in decreasing order.\nAnswer: p, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 + 2*v + 24 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -7432 + 7440 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 - -4.05. Let w = 0.05 + p. Put -0.1, w, -2 in increasing order.\nAnswer: -2, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4831 - -1.4830956832. What is r rounded to seven dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*i**2 + 105*i**2 - 212*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 + b**3 - b**3)*(2 + 1 - 2) + (4 + 4 + 0)*(-1 + 0 - 1)*(-34*b + 34*b + b**3).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -18, -39, -78, -141, -234, -363?\n\"Answer: -i**3 - 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747.67 microseconds in milliseconds?\nAnswer: 1.74767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26361787\/6 or 4393631?\nAnswer: 26361787\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8743 = 35*v - 5957. Suppose 3*i + v = 4*r, 64 = r - 3*i - 50. Calculate the highest common factor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:35 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2876*p**3*q**5 + p**3*q**3 + 6946*p**3 + p*q wrt q.\nAnswer: 57520*p**3*q**3 + 6*p**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271*a**2 - 4800*a + 4800*a)*(-3*a**2 + 6*a**2 - 2*a**2) - a**4 - 2*a**3 + 2*a**3.\nAnswer: -272*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 4*h**2 + 5*h - 3. Let v be l(-5). What is the units digit of (2 + (-3)\/v)*120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40360 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.998 + 144. Let p = i + 0.00375. Round p to four dps.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:17 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from {t: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 2}. Give prob of sequence iik.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*b**2 + 5429*b**3 - 339*b**2 - 5422*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-132)*165\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04095386174 and -1.\nAnswer: -1.04095386174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -40. Solve 0*j - a = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072012631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -228 (c) 2\/3 (d) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3264 - 0.0264. Which is the closest to 4? (a) g (b) 3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by -6.\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 25 = 3*s, -d - 6 = 5*s - 21. Let i(y) = y. Let k(w) = 14*w - 2. Let m(t) = d*i(t) + k(t). Let r(q) = q**2 - 7*q + 9. Let v be r(6). Calculate m(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*j - 5*o = 471*j - 23, 10*j - 28 = 4*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 2. Let o be d(0). Suppose -o*n - 21 + 39 = 0. Let s(f) = -f**3 + 9*f**2 + 5. Give s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 22*b**2 - 183*b - 4055. Let o be j(-20). Solve 0 = 10*u + 71*u + o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15457 divided by 1189\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 3. Suppose -16 = -y*a + 2. What is the remainder when 56 is divided by 70\/4 - a\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3795383ug to grams.\nAnswer: 0.0000003795383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 10) in base 14?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3105 at most -3105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 79167 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, 3, 1, -14.\nAnswer: -21, -14, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 1. Let d be m(-4). Suppose 2*n - 1 = d. Is (n + 32)*1 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**3*s + 1015055*r**3 + 458*r**2*s + 37*r*s wrt s?\nAnswer: 2*r**3 + 458*r**2 + 37*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 k, and 1 r when four letters picked without replacement from pkkukpkkpr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4823?\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 divided by 1250?\nAnswer: 783\/1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4) + (-12)\/8. Let j = -5.8 + 6. What is the third smallest value in 5, j, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 34.27. Let s = -5.27 - i. What is the nearest to 0.1 in 2, s, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53467778 and 4.\nAnswer: -213871112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - f**2 + 15*f**2 + 3*f**2 + 7*f**3 - f**2 to o*f + g + x*f**3 + y*f**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (5 - ((11 - 16) + 2))) + 3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 315. Let t be j(-34). Solve -3 - t = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/120 - w**5\/20 + w**4\/8 - w**3\/3 + 5*w**2. Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16102\/5 - -3220. Sort 0.3, a, -0.21, -2 in ascending order.\nAnswer: -2, a, -0.21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/19170 and -37\/868455?\nAnswer: 123320610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 345 + -1?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412645804?\nAnswer: 2, 4931, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15554\/303)\/(126\/54)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:56 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990018827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2269\nAnswer: 3\/2269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:01 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1 + 3\/(-1). Let f(s) = s - 1. Let w(c) = -c**3 - 6*c**2 - 2*c + 2. Let d(a) = -3*f(a) + w(a). Calculate the remainder when 14 is divided by d(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(40\/12 + -2). Let m be 268\/24 + 2\/q. Suppose 13*g - 12800000 = m*g. What is g rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*d - 5*d = 12, d - 22 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 80*p - 82*p + 2, 0 = 2*p - 3*h - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 9. Let y be p(9). Solve 3*x = 4*s, y = 2*x + 3*x - 4*s - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -708 * -3.\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 13, 38, 75, 124, 185, 258?\n\"Answer: 6*l**2 - 5*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.62, 3\/8092?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 + r + 1. Let x be l(-1). Let z be (-4)\/x - (-15)\/6. Suppose -z - 14 = -2*w. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i + b - 15, -2*b + 3 = i. Let k = i - -2. Let f be 76\/18 - 2\/9. Let n(u) = -u**3 + u - 3. Let w(j) = j**3 - j + 4. Calculate f*w(x) + k*n(x).\nAnswer: -x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:01 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.10000111 - 4.1. Round j to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6990 - 6414. Calculate the highest common factor of o and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133783334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 6 = 0. Suppose -q = 7 + y. Is (-8)\/q - (-721)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630 bigger than 6.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -14501000?\nAnswer: -14501005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + v**3 + (3 + 0 + 0)*(v**3 + 4*v**3 - 3*v**3))*(-v - 5 + 5)*(2*v - 4*v - 3*v) + (-5*v**4 + 0*v**4 + 4*v**4)*(-v + 2*v + v).\nAnswer: 38*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -474 divided by 237\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6) + 13 + 2 + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3473 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 7325?\nAnswer: 14650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-30)*(9 - 441\/42). What is the fifth biggest value in -3\/7, 5, -1, 67\/7, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - (7 + -3)) + (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.306 (b) -1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1493, 2331, 3169, 4007, 4845?\nAnswer: 5683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 145 - -24a064?\nAnswer: 24a1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10184261 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmmmzzlmmzmzmzm. Give prob of sequence mzz.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -365959 times -4\nAnswer: 1463836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + sqrt(5) + -3 + 3)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/51, 3, 5, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39262, -78516, -117772, -157030?\nAnswer: -196290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 5. Suppose -2*q + 3*n = 2, -15 - 3 = -2*q - 2*n. Let d be w(q). Which is smaller: -1\/94 or d?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 11*l - 46. Let k(i) = -i**3 - 6*i**2 + 20*i + 18. Let d be k(-8). Let p be t(d). Is 13 a factor of 10*21*p\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 8*c - 8. Let a be 12 - -1 - (10 - 7). Does 5 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -61*f**2 - 3. Let r(j) be the third derivative of -j**4\/4 - 612*j**2. Determine i(r(d)).\nAnswer: -2196*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 78. Let m = 21.5 + -2.5. Let h = z + m. What is the third smallest value in -2, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k - 17. Determine p(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27731793.\nAnswer: 3, 9243931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. What is the third derivative of 35*f**2 + 33*f**2 - 12*f**4 - 69*f**w wrt f?\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let g = -2 - -4. What is the nearest to 0 in -2\/11, u, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -51\/10, 1.4, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3959948971.\nAnswer: 11, 461, 70991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.289 and 292?\nAnswer: 84.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 17*d**2 - 15*d - 14. Let v(w) = 3*w**2 - w + 2. Let c be v(-2). What is the smallest common multiple of s(c) and (0 + -10)\/(2\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/3 - 4*q = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 7:47 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9195 + 52881 = 0. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 321*c**4 + 235*c**3\/3 + 3*c + 3952. Find the third derivative of s(a) wrt a.\nAnswer: 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of (-43829)\/(-5) + -3 - 450\/(-375)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -19. Let u be o\/(-4) + 159\/(-42). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2175)\/203 + 22\/2. What is the nearest to 3\/5 in 5\/3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkllkflklnnklkfnklk. What is prob of sequence kn?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*v - 1016, 8*r = 4*r + 4*v + 1348. What is the remainder when r is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*u = -2*u - 86, 4*u = 8. Let c be v\/8 + 2\/2. Let b(t) = 2*t**2 - 6*t + 1. What is b(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 + 3*o - 2. Let w be h(4). Suppose 0*p - w = -2*p. Calculate the remainder when (-227)\/(-6) - (-10)\/60 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15460 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-7)\/7).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 431 + -417. What is the smallest common multiple of i and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631462 divided by 27.\nAnswer: 631462\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548264.\nAnswer: 2, 19, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 375?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207534 is divided by 101098.\nAnswer: 5338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 12. Calculate h(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 196 = 5*p - q, 10 = 2*q. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158092?\nAnswer: 2, 11, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 12*h + 486. What is b(32)?\nAnswer: 2150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:14 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3. Let c be w(6). Let j(v) = 2*v**2 + 7*v + 4. Let i be j(-4). Suppose 0 = i*r - 6*r - 6. What is the highest common divisor of r and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19891912*v**5 - 732784*v wrt v?\nAnswer: -397838240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -812 - -1231. List the prime factors of k.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (5 + (1 - 10) + -58 + 72)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 1536?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*n**2*p**3 + n**2 + 7*n*p**4 + 205*p**2 wrt p.\nAnswer: 720*n**2 + 168*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(19))*-2 + (sqrt(133)\/(5*sqrt(28) - sqrt(7)))**2.\nAnswer: -2*sqrt(19) + 181\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 = -1880*c - 1847*c + 3879*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 k when four letters picked without replacement from {k: 3, o: 4, j: 6}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -465517 (b) 0.2 (c) -2\/5 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/15))\/m**7*(m*m*m\/(m\/(m\/(m\/m**(2\/27)*m)))*m)\/m**(3\/2) assuming m is positive.\nAnswer: m**(-1429\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 + d + 63. Let f be v(0). Let j = -30 - -43. Let k = -4 + j. What is the greatest common factor of k and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -33?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 1302?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -1. Let z = -4 - 7.4. Let f = z - -11. Which is the nearest to r? (a) -2 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - d. Suppose 4*h - 3*s - s = -4, 0 = 5*h - 2*s - 7. What is the smallest common multiple of h and c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7416020 and -4\/370801.\nAnswer: 7416020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26166 take away -3?\nAnswer: 26169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.9 (b) 1\/4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (83 - 47) - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 3 = 19*w. Is -4\/97 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0 + 5. Let w(t) = -t**3 - 8*t**2 + 9*t + 6. What is the smallest common multiple of w(-9) and (-4 - -20)\/(f\/(-1))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102 - -93) + (0 - 0) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 795563035 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f + 4. Let y(n) = 5*n + 1. Let i(o) = 3*v(o) - 8*y(o). Let j(k) = -k**3 + 60*k**2 + 59*k + 118. Let d be j(61). Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 189. Let h be (4\/3)\/(1156\/(-144) + 8). Let x = h + b. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 19*x**2 - 28*x - 18. Let t = 1 - 21. What is the tens digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(252) - (-1 + sqrt(252))*-1)*3)**2 + (0 + sqrt(252) + -2 - 6*(0 + sqrt(252)))).\nAnswer: -1230*sqrt(7) + 45395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-8)\/6)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13102 (base 4) to base 12.\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113302 (base 4) to base 11.\nAnswer: 7331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/20*(13875\/(-6) + 0). What is o rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 80. What is the second derivative of 11*y + 58*y**i - 35 - 5*y + 5 - 8*y wrt y?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 19. Let a = m - -85. Suppose -4*j = -3*j + 3*n - a, 0 = j - 2*n - 45. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 - 6*m - 7. Suppose -2*b - 301 = -3*a - 6*b, 4*b = -4*a + 408. Let w = a - 169. Let t = w + 57. Give j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1075 + -10)\/(-3)*5\/(-22 + -3)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)*(-2 - -8 - 4). Find the second derivative of -37*s**z + 0*s + 26 + 25 - 2*s - 62 wrt s.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.013 + 11. Let f = -84.987 + s. Let d = f - -85.74. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -21. Let m = k + -20. Does 2\/7 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*1)\/sqrt(7) - sqrt(24))\/((sqrt(180)\/sqrt(3))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/3 - 170*x**3\/3 - 578*x**2 + 29478*x = 0.\nAnswer: -51, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j - 2. Let u be b(-6). Let t be (-4328)\/(-36) - u\/(-9). What is the greatest common divisor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4)*(-g - g + 2 - 1).\nAnswer: -8*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 2944603*w**2\/2.\nAnswer: -w**2*(w - 2944603)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2604, -7, 111, -3, 4, 3, 0 in descending order.\nAnswer: 2604, 111, 4, 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 + 44*v - 9. Let g be d(6). Factor 6*w**2 + 15\/2*w + 3 + 3\/2*w**g.\nAnswer: 3*(w + 1)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -581776 divided by 13\nAnswer: -44752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + 0 + -6755 + 6759\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0850013596 to five dps.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1386 + 1353. What is the nearest to -2\/9 in t, 2\/5, -3, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9140157 or -1?\nAnswer: -2\/9140157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2, -12 = 3*h - 4*g - 86. Let q(v) = -h*v - 13 - v**3 - 8*v - 13*v**2 + 16*v. Is 6 a factor of q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -237177, -474349, -711521, -948693?\n\"Answer: -237172*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147795827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94.12966 nanometers?\nAnswer: 0.00009412966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/4*((-17416)\/(-392) - 45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 - 13*k**2\/2 - 18*k.\nAnswer: -k*(k + 3)*(k + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 2*l**2 + 12 + 238047*l**4 - 2*l**3 - 2 - 238046*l**4 in the form o*l**4 + a*l**3 + q*l + x*l**2 + b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than or equal to -35.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.9, -101, -6, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.748 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x + 20*x - 52*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2714 and 151754?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-2))\/(3\/(-15)). Suppose 4*u + 4*u = b*u. Factor 2*a + 3*a**2 + u*a**2 - 20*a + 0*a.\nAnswer: 3*a*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 - 5.32. Let x = -138.758 + 143.757968. Let c = u + x. Round c to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 2*k**2 - 3*k - 16. Let h(c) = -3*c**3 - 2*c**2 - 4*c - 17. Let x(b) = 6*f(b) - 5*h(b). Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1526100 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*u)*(2*u - 5*u + 5*u) + 2*u**2 + 0*u**2 + 0*u**2 + 0*u**2 - 3*u**2 - 3*u**2 - u**2 + 0*u**2 + 3*u**2 + 5*u**2 - 15*u - 19*u + 33*u.\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.604 rounded to the nearest integer?\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2636*p + 27806 + 11734 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 510323 divided by -510323\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5002, -9862, -14742, -19642, -24562?\n\"Answer: -10*l**2 - 4830*l - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 150*p = 154*p + 19, -3*w = -2*p + 15 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (1 - 5) + -3 + (-28 - -21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3010.5 to the nearest ten.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1015461*d + 71. Let l be x(-11). Round l to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + (428 + -413 - (-1 - -26))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/(-16))\/((-131478)\/20624)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2096 and 2358?\nAnswer: 18864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*r - r. Let u = r - -33. Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 201 (b) 3\/4 (c) 2\/13 (d) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 81*p - 92*p. Let i(v) = 3*v + 43. Determine i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -34, -3\/5, -44?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1095 and 10950.\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k*k**5)\/(((k*k\/(k\/(k*(k*k**(2\/3))\/k))*k)\/k*k)\/(k*k\/k**(-3\/5)))*((k*k\/k**3)\/k**7)\/(k\/k**1)**(-1\/8) assuming k is positive.\nAnswer: k**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m - 1. Let b(k) = 0 + 6 + 5 + 3*k - 14. What is b(x) - 3*c(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 0*o)*(-48 - 36 - 67)*(1 + 5 - 4)*(5 + 1 - 5).\nAnswer: -906*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.54 times -0.113?\nAnswer: -0.51302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79559665847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1094+34\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3)*(-2)\/(-2). Suppose 5*p - 2*y - 6 - 9 = l, 0 = -2*y. Suppose a = -u - p*u + 20, -a = -3*u - 6. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 155 = 29*r, -i + 2*r + r = 4*r - 0*r - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2161896 divided by -836\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-4*5)\/sqrt(7) + (-1*sqrt(11) + -2 - (sqrt(275) + -2)))**2.\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68402054 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 51*o - 1218 = -25*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(99)*-1 - (sqrt(99) + 0 + -2 + sqrt(99))**2 - ((-3*3*sqrt(99) - sqrt(99)) + (sqrt(99)*1 - sqrt(99))*-3)**2.\nAnswer: -10305 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-3))\/((-3)\/15*23\/1311*475)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181\/3 - 61. What is the second biggest value in -2, 4, -11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 7*w + 4. Let g(t) = -t**3 - 6*t**2 - t - 3. Let u be g(-6). Suppose 0*m + 5*r - 27 = m, 0 = u*m + r + 17. List the prime factors of c(m).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 + 3*z - 4. Suppose -3*u = -r + 2*r - 6, -2*u - 4*r + 14 = 0. Let s = 15 - u. Suppose -2 = 3*w - s. What is g(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22454891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 15. Let z be r(6). Let g be z\/15 + (-16)\/(-10). Let t be (5 - (4 - g)) + -16502. Round t to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c - 40. Let n = 13 + c. Suppose -d + 19 = 5*x + d, -4*d + 23 = n*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 82025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**4 + 23*k**3 - 2*k**2 - 8*k - 2. Let h(t) = 70*t**4 + 114*t**3 - 7*t**2 - 42*t - 11. Let o(r) = -11*a(r) + 2*h(r). Determine i so that o(i) = 0.\nAnswer: -2, -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-224*q**2 - 140*q**2 - 177*q**2)*(q**3 + q**3 - 3*q**3)*(-1 + 2 - 7).\nAnswer: -3246*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231212131 + 2.236899.\nAnswer: 231212133.236899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 906*b*t**2*y + b*y - 45*b + 3*h*t**2 - 4*h*y - 5*y with respect to t.\nAnswer: 1812*b*t*y + 6*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1009, -2004, -2997, -3988, -4977, -5964?\n\"Answer: m**2 - 998*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6 + 292\/219?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 + 7)*1\/(-44). What is the closest to 1 in -1, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 16*w - 324. Let g be x(10). Solve 4*j + g = 4*l, 4*l - 6 = 5*j - 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30150653 (base 7) to base 11\nAnswer: -1458131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/5424 and 61\/112.\nAnswer: 37968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74678 - 14*s**3 + 7*s**4 + 15*s**3 - 10*s + 74675 to the form p*s**3 + r + d*s**2 + b*s + q*s**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93596*c**3 + 4*c + 1544921 wrt c.\nAnswer: -280788*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -145 (b) 0.3 (c) -12 (d) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 35. Let y = 384 + -381. Solve -2*k + 6*k = 3*a - 17, 0 = 2*k - y*a + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 14*u**2 + 13*u - 28. Let y be h(-15). Find the third derivative of -35*n**y + 29*n**6 - 17*n**3 + 15*n**3 + 2*n**3 wrt n.\nAnswer: 3480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q. Let d(i) = 4*i. Give t(d(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200022012 + -1?\nAnswer: -200022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/2)\/10)\/((-3)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4267 + 4252 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*z**4 - 52*z**3 - 2797*z.\nAnswer: 228*z**2 - 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -5 (c) 2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -3 + -14 + -26?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 8*m - 5*m. Suppose 13 - m = 4*a. Let f be 4\/(-6) + (-88)\/a. Solve -5*g = f*i - 7, 5*i - 14 - 5 = -g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 10 = -3*d, -49*a + 5*d + 5 = -48*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/37))\/c**18)**22 assuming c is positive.\nAnswer: c**(-13882\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 999 - 167 = 0. What is the remainder when v is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = a + a + 22, 5*a + 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-165)\/(-4 + 9) - -2. Sort 3, -6\/11, h in increasing order.\nAnswer: h, -6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 800 = 56*f - 185*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 84 - 84)*(-17*w**2 + 1 - 2*w - 4 + 15*w**2).\nAnswer: -26*w**3 - 26*w**2 - 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(68) - 4*(1*sqrt(68) - sqrt(68)))\/(sqrt(12)\/sqrt(3)*-4).\nAnswer: -4 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 4*a**4 - 3*a**4 + 14*a**4 - 8*a**4 + 9*a**4 + (-1 - a + 1)*(-2*a**3 - a**2 + a**2))*(-3*a - 3 + 3 + (-5*a - a + 0*a)*(1 - 4 + 1)).\nAnswer: 180*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25*p**2 + 915*p + 24. Let k(q) = 14*q**2 + 459*q + 14. Determine 7*k(r) - 4*l(r).\nAnswer: -2*r**2 - 447*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 40. Suppose -k*y = 75 - 507. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**3 + b**2 + b. Let n(p) = -p**2 - 1. Let w be n(0). Let o be d(w). Let g be (-4)\/(-5)*o\/3. Put 4, 0, g in descending order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 586 + -619. Let v(x) = -3*x**2 - 107*x - 28. What is the tens digit of v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {j: 3, w: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 + 161. Suppose 10*i - r = 18. Solve 7 = -v + i*n + 25, 3*n = -5*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267327 is divided by 97481?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 8, 0.15 in decreasing order.\nAnswer: 8, 0.15, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24606.45269 rounded to the nearest one hundred?\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Let q(c) = 2*c**2 - 2*c. Let p = 22485 - 22488. Let r(o) = o**2 - 2*o + 1. Determine i*r(j) + p*q(j).\nAnswer: -4*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 3*y + y + 0*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102003 is divided by 252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - 40. Let h = m - -79. Suppose -2*t + h = -103. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(275)*-3.\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118921866 minus -8591.6?\nAnswer: -118913274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 - 52\/336. Let z = 544 - 544.2. Is a smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 5, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -805455, -805453, -805451, -805449, -805447, -805445?\n\"Answer: 2*o - 805457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + 20. Suppose 8*s = 228 + 172. Let u = s + n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2935*h**3 - h**2 - 19*h - 5. Let r be a(5). Round r to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:06 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.21 + 41.21. What is the closest to -1\/2 in 24\/7, l, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2448 take away -0.01?\nAnswer: -2447.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -11 - (29 - 43).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50095.09 litres?\nAnswer: 50095090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 5. What is the least common multiple of 21 and k(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*(d\/(d\/(d*d**(-2))*d)*d)\/d*(d**(-1))**(-12) assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 8*z**2 + 5*z**2 + 2*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/6 + i**3 - 19*i**2\/2 - 34*i + 148. Calculate p(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*d**2 - 225 + 187*d - 185*d + 71 wrt d.\nAnswer: 46*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-30) - 44\/(-10). Suppose 3 = 4*g - 4*p - 5, 2 = -2*g + n*p. Let c(h) = -8*h**2 - g*h**2 + 2*h**2. Let k(r) = -2*r**2. Determine c(k(b)).\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -65 - 22 - 113*v**2 + 113*v**2 - v**3. Let o(g) = g. Give o(h(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-82)\/70)*(-420)\/168. Which is the third biggest value? (a) 0.5 (b) -10 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - (sqrt(425) + sqrt(425) + 1))*-4 - (2 + sqrt(425) + -1)) + (-1*sqrt(425)*6 - sqrt(425) - 6*-1*sqrt(425)))**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 1572 = -77*c - 507 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -216111 and -64750.\nAnswer: -280861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 - 22*g + 3. Let j(y) = 21*y**2 - 92*y + 11. What is -2*j(z) + 9*q(z)?\nAnswer: 3*z**2 - 14*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -304, -492, -692, -910, -1152, -1424?\n\"Answer: -s**3 + 3*s**2 - 184*s + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by ((-10)\/5)\/(196\/204 - 1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.382 + -0.425. Round j to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2920017 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 938000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 16*i - 18. Let f be c(15). Let b = f - 291. Let n = -52 + b. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 2777973?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322414133 + -13?\nAnswer: 322414120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)\/g*g\/(g**(3\/4)*g)*(g*g\/(g*g**1\/g)*g*g*g)\/(g\/(g**4\/g)) assuming g is positive.\nAnswer: g**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/3492 and -35\/1584.\nAnswer: 153648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 27*o - 28. Let m be n(-28). Let w be 5*-3*2\/(-15). Is 2038 + 5 + (m - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/736966 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011010100120 + -102?\nAnswer: -1011010100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.87 + -0.56. Let y = m + -4.31. Let j = y - -3.9. Which is the biggest value? (a) 0 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75380710 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: Let t(l) = l**2 - 119*l + 2203. Calculate t(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - -1. Let t = -25 + p. Solve -2*f - 3*f + 20 = -5*g, 2*g + t = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 3, -2\/7, 0.018, 8?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2. Suppose 5*v - 61 = -6. Let o(n) = 12*n - v*n + 2 - 2. Give o(p(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/21 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - h + 167, -2*o - h = 2*o + 343. Let m = 728 + o. Suppose 649 + m = 4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 2*g - 3. Let j(r) = -4*r**2 - 3826836 + 3*r + 1913410 + 1913422. Suppose 0 = m + 3*m + 24. What is m*p(c) + 5*j(c)?\nAnswer: -2*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-5)*m*m**(-6)*(m*m\/(m*((((m*m*m\/m**1)\/m)\/m)\/m)\/m))**1 assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180425*c**2 + 365876*c + 2 wrt c?\nAnswer: -360850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 divided by -6?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 a when four letters picked without replacement from {g: 2, m: 2, b: 4, a: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/10719 and 95\/204?\nAnswer: 728892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 - 4 = 0. Suppose j*k - 4 = k. Factor -5*d**4 - 7*d**5 - 3*d**k + 8*d**3 + 9*d**5.\nAnswer: 2*d**3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.065 + 0.119. Let l = u + -0.0540053. What is l rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -37. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-528)*(103 - 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 861 and 203975?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v - 5*v + 5*v)*(-v - 3*v**2 - 3*v**2 + 5*v**2).\nAnswer: 15*v**3 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.69 in 0.1, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2721)\/27 + ((-70)\/45)\/7. Let c = k - -164. Calculate the least common multiple of c and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 83*y**2 + 1561*y - 19. What is o(-54)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 28*d**4 + 12*d**3 + 76*d**2 - 16*d - 48 = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5820.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1 - sqrt(304))**2*-2 + ((sqrt(304) + 0)*-4)**2 + ((sqrt(304) + (sqrt(304)*1 - sqrt(304)))*6 + -5 + sqrt(304)*-1)**2.\nAnswer: -200*sqrt(19) + 12487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5986526 and 44577?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16391 is divided by 780.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)\/h**(2\/21))\/(h**(1\/36))**(-1\/17) assuming h is positive.\nAnswer: h**(-64661\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 769 - 115*o**2 - 180 + 116*o**2 to the form n + b*o + i*o**2 + u*o**3 and give n.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.11 (b) -2\/29 (c) 0.1 (d) 11\/5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237297, 474603, 711913, 949227?\nAnswer: 1186545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1260336 and -101\/1904.\nAnswer: 21425712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 9:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/(h*h*h*h**(-16)*h*h*h))\/h))\/(h**(-16)*h) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -116.9. What is the nearest to -1 in f, -1\/6, -10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/22 - (-68)\/374 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2, -2*f = -5*k + 2*f + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.59 - 0.41. Let z = -20 - j. Put -2\/9, 0.02, z in ascending order.\nAnswer: -2\/9, 0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-972)\/39)\/3 - (-73 + 65).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 + 24 = -5*k, 2 = -k - 2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -15*x - 5*g + 29637, 2*x + 3*g - 19758 = 0. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.63 meters in kilometers?\nAnswer: 0.18063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2287 from 0.3.\nAnswer: -2286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/19 + 188\/133. Let a(w) be the second derivative of 0 + d*w**2 - 10\/21*w**3 + 1\/42*w**4 - 13*w. Factor a(v).\nAnswer: 2*(v - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19666 + -19669. Which is the nearest to l? (a) -5 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 346 + -346.005. What is r rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1179*x + 3016*x - 563*x + (-3 + 2*x + 3)*(-1 + 3 - 1))*(2*x**2 + 3 - 3).\nAnswer: 7268*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -331, -507, -699, -913, -1155, -1431, -1747?\n\"Answer: -q**3 + q**2 - 162*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 252, 0.5, 0, -7\/5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -3457?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 15*w**2 - 36*w + 14. Let b be u(-17). Let j = b + -44. Solve -15 = -3*q - 3*v, 7 = q + j*v - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e2 (base 15) to base 6.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(180) - (sqrt(180) + sqrt(180) + -3)))**2.\nAnswer: -6804 + 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c59a4 (base 16) to base 8.\nAnswer: 3054644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z - 18. Let t(f) = 5*f + 8. Let j(a) = -4*m(a) - 9*t(a). Let s(x) = 2*x**2 - 3*x. Give s(j(q)).\nAnswer: 18*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22527 (base 11) to base 16\nAnswer: 7f42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 1:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5 + 2*d**3 + 2*d - 5*d**3 + 2*d**3 + 2 - 3*d**2. Let m be h(-4). Calculate the smallest common multiple of 30 and (1\/(-1))\/(m\/(-100)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/120 + 7*r**3\/3 - 1. Let s(m) be the third derivative of n(m). Factor s(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12881 and 16808?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -110001101100?\nAnswer: 110001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*c**4 + 569*c**3 - 38*c**2 - 569*c**3 wrt c.\nAnswer: 1344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8358*y - 58518. Give r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -0.05, 11150, 3\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 200708 divided by 50177\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890444 is divided by 5746?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z - 30*z + 90*z + 6*z**2 - 33*z + z**3 - 11*z**2. Determine j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 67. Let u = c - -28.5. Let v = 4 + -5. What is the closest to -1 in v, 5, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -10466274?\nAnswer: -10466274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142849923 a multiple of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 504742655*a**3 + a**2 - 12629*a + 4883.\nAnswer: 3028455930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 - (-5)\/7. Let p = o + 25\/63. Is 1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -330?\nAnswer: -9\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 3*l + 23*l + (-1 + 2 + 1)*(-2*l + 0 + 0))*((-3 + 4 + 3)*(2 - 3 - 17) + 0 + 2 - 1) as g*l + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**17*o)\/o*o)\/o)**22\/(o*o**(-3\/4)\/o*o*o*o*o*o)**(2\/37) assuming o is positive.\nAnswer: o**(30915\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2275 and 30485.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 + 11. Let t(j) = -j**3 - 2. Let b = -27 + 31. Calculate b*u(o) + 22*t(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/18)\/((-4)\/174). Let d = 100 + u. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1008899646 by -21932601.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -37 - 44 - 42 + 126 + 3*l**2 - 4*l. Let d(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 - s**2\/2 - 3*s. Calculate -3*d(i) - n(i).\nAnswer: -3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 0) - (-4 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-6)*-9*(1 - (-40)\/(-12)). Solve 147*b - s*b = -14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/245)\/(48\/14)*2*-18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*r + 104*r - 23*r)*(2*r + 2 - 2).\nAnswer: 428*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93883 and 842.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*z + 96*z - 40*z - 145 - 102 in the form h + k*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-3))\/(30\/135). Let a be ((-12)\/w)\/((-2)\/(-160)). Let y be (-18)\/45 - a\/(-10). Solve -q - 5 = -y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**5 + 0*k**4 - k**2 + 0 + 0*k**3 + 1\/6*k**6 + 4*k. Differentiate g(f) wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 2, z: 2}. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1428 and 240261.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/12*h**5 - 4*h**2 - 1\/120*h**6 - 1\/6*h**4 + 0 + 1\/6*h**3 + 0*h. Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 2, q: 4, t: 3, i: 1, l: 2}. What is prob of sequence mq?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 6*z - 122, 7*z - 119 = -4*x + 4*z. Calculate the remainder when 40 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 232210?\nAnswer: 464420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 38*v = -6. Suppose -v*g + 206 = -2344. Let o = g - 568. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let a be (r - 0)\/(-1 + 0). Let q = a + 6. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*b + 5*s, -b + 8 = s + 2*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52480 - -6?\nAnswer: 52486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 678772 and 678780 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -497568 + 2\nAnswer: -497566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39510014 to the power of 1\/2, to the nearest integer?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -4)\/(10\/50). Solve 12 = p*m - m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 82*t**2 - t - 8. Let j(p) = 5*p**3 + 84*p**2 + p + 9. What is -6*j(i) - 7*q(i)?\nAnswer: -2*i**3 + 70*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3240*y - r = -3245*y + 3494, 0 = 4*y - 4*r - 2776. Calculate the smallest common multiple of y and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzulyulyuty. What is prob of picking 2 l and 2 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 170 = -14*v. Let f(q) = 34 + 6*q - v. Let x(i) = -7*i**2 - 5. Let r(z) = 4*z**2 + 3. Let n(a) = -5*r(a) - 3*x(a). Determine n(f(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/6 + 3*i**4\/4 + 2*i**3\/3 + i**2 - 11*i. What are the prime factors of z(6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2276, 2278, 2280, 2282, 2284, 2286?\n\"Answer: 2*g + 2274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 2732 + 6*g - 5485 + 2753.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011110111010 (base 2) to base 5.\nAnswer: -1041422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*q = -31*q + 220. Solve -3*s - 5*j + 3*j = -1, q*s - 7 = 2*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/1265 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-195))\/(7\/((-126)\/12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 3193, 1, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154570?\nAnswer: 2, 5, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/273 + (-18)\/140*-3\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, 1\/4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284440 is divided by 756.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3381*q + 1909*q - 5771*q - 4511*q in the form v + r*q and give r.\nAnswer: -11754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/3 - 11*q**3\/3 + 1. What is the third derivative of y(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0, 36\/310139?\nAnswer: 36\/310139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.1 (c) 0.05 (d) -3 (e) 0.5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204000 and 6600.\nAnswer: 2244000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.76 and 409945764.\nAnswer: 409945762.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 866\/7? (a) -4 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from {i: 2, z: 1, d: 1, l: 1, a: 3, h: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 635716 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*((-6)\/10 - -1). Let j(q) = q**2 - 18*q - 61. Let t be j(-3). Suppose 4*p + 0*w = -4*w + 16, 5*p + t*w - 14 = 0. Solve 0 = -p*x - a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191033910 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90152 divided by 236?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2 = 2*x, 5*r + 1 = x + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75267 is divided by 336.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5 = 8*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.19 * -27.5.\nAnswer: 32.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-4)*116\/2001. What is the smallest value in 1\/6, 0.03, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2679*s**2. Let y(h) = 4*h**2. What is y(g(f))?\nAnswer: 28708164*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 1, l: 1, d: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -401 + 406. Solve 3*j + 4*l + 1 = -15, 2*j - a*l = -3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**3*n**6 - 2*h**3*n + 2686*h**3 + 4*h*n**2 + 2*h*n - 21913*n**6 wrt n.\nAnswer: -600*h**3*n**3 - 2629560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, e: 6}. Give prob of picking 1 j and 3 e.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -339 * -0.01\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.9492 weeks in nanoseconds?\nAnswer: 393089276160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23011510 to the nearest one hundred thousand.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/19)*d**(-2\/9) assuming d is positive.\nAnswer: d**(-47\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(2 + -18*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-190)\/(-57)*(-252)\/(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 36\/2947181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let d(l) be the first derivative of 0*l**2 + 0*l - 3 + 5\/3*l**3. Calculate d(t(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 4. Let x(s) = 8*s + 2. Let l(b) = -17*b - 5. Let t(k) = 6*l(k) + 13*x(k). Let n(m) = -4*t(m) + 3*u(m). Differentiate n(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24677, -24681, -24687, -24695, -24705, -24717?\nAnswer: -24731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3344, 6897, 10658, 14627, 18804, 23189, 27782?\nAnswer: 32583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17848 + 4015808\/225. Let a = -1697\/900 + q. Let y = -7505 - -120179\/16. Find the common denominator of y and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1108150 and 40.\nAnswer: 4432600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 134\/(-10) - (-12)\/(-30). Suppose 6*a - v = 5*a. What is the highest common divisor of 60 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/3, 4\/7, -0.5, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*a + 4*j + 96, -2*j = -5*a + 113. What is the remainder when 82 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26264131 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399707480.83 from 0.5.\nAnswer: -399707480.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t)*(-9 - 7 - 8)*(69 - 1367*t**2 + 1367*t**2 - 2*t**4).\nAnswer: -96*t**5 + 3312*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/51*(-45067)\/482.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 - 68*r + 5.\nAnswer: -68*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 0*i + 17\/2*i**2 + 8 + 1\/20*i**4 - 3\/10*i**3 + 1\/100*i**5. Let p(y) be the second derivative of f(y). Factor p(u).\nAnswer: 3*(u - 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197640 and 23220.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -bd?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3725176*v - 1423719*v - 79298*v - 8645769*v.\nAnswer: -13873962*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1723 - 905. What are the prime factors of w?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b - 265 = -47 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 13. Let p be ((-6)\/(-4))\/(l\/(-10)). Solve 29 = 4*a + a - 2*q, -35 = -5*a + p*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h - h, 3*y - 282 = -3*h. Suppose 88*k - y*k = -112. Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, 1789, 4838, 9107, 14596?\n\"Answer: 610*a**2 - a - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415400545 (base 6) to base 13.\nAnswer: 1673b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i - 4*c, 3*i + 0*i = 3*c + 15. Solve -2*o - i*q - q - 22 = 0, 2*q = -3*o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8954.8 + 9471.19. Let q = a - 517. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/25*-5*1. What is the remainder when (-147)\/f + 1\/2 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 at least 574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 + 34*f - 34*f)*(13 - 1 - 5) + (-4 + 4 - f)*(-36*f**3 + 15*f**3 - 6*f**3).\nAnswer: 62*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let y(p) = 10*p + 4. Let n(x) = -11*x - 3. Let i(m) = u*n(m) + 3*y(m). Let b(l) = -7*l - 5. Calculate -7*b(f) - 6*i(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 42.34, 3\/23 in decreasing order.\nAnswer: 42.34, 3\/23, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 3*c)*(-5 + 2 + 7643*c - 7638*c) + (-2*c + 3*c - 3*c)*(2*c - c - 2*c) + 2 + c**2 - 2.\nAnswer: 8*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i + 2*w - 248, -12 = -3*w. What is the greatest common divisor of i and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -241 + -13009?\nAnswer: -1324a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**4 - 6*w**2 + 519*w.\nAnswer: -72*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093308819 rounded to the nearest one hundred thousand?\nAnswer: 1093300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686883499?\nAnswer: 7, 240983357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-9)))\/j)\/((j\/(j**4\/j*j))\/j*j) assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 467, 0.409, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.486057 - 0.013943. Suppose 4*v - 32 = 8. Which is the smallest value? (a) p (b) v (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.278456 + 3803784?\nAnswer: 3803783.721544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1047)\/(-9) - (-2)\/(-6). Let i be (-44)\/110 + l\/90. Determine u, given that -26*u**4 + 82\/9*u**3 + 226\/9*u**2 + 80\/9*u - 18*u**5 + i = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 - 1. Let s(h) = -13*h + 647. Let z be s(50). What is the tens digit of (y + z)\/(1\/17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33945.71 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcej when four letters picked without replacement from {j: 1, b: 4, p: 3, t: 2, c: 1, e: 1}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*z + 23*z - z**3 + 19*z + 20*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.96 + -1.06. Let n = -97\/9 - -11. What is the nearest to w in 5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, 1, 4, -3.13, -1 in decreasing order.\nAnswer: 33, 4, 1, 0, -1, -3.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = 5*s. Let q = 16 - 9. Let d = s - q. Sort 3, d, 2 in ascending order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-20))\/(693\/(-54))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -159, -83, -5, 75?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-180)\/(-150)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3462 and 6?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/53 at least as big as -85531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*2\/6*(-10)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57420572 to the nearest integer?\nAnswer: 7578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {s: 7, j: 1, w: 3, n: 3, x: 4}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (11 - 8) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -192, -200, -210, -222?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8*s = 5*m + 55, 0 = 4*m + 28. Which is the closest to 4? (a) s (b) -0.2 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 5*m + 2 - 42*m**2 + 53*m**2 - 48*m**2.\nAnswer: -37*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/368)\/(4\/(-46))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 211 = -6*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:29 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/2 - -2. Suppose -z = -p + 2. Suppose -3*f - i + 9 = 0, -4*i + 5 + 4 = p*f. Solve 4 - 1 = f*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 4, s: 1, y: 2}. Give prob of sequence oo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 + 180 - 7 + 219)*(11*c**4 - 11*c**4 + 10*c**5).\nAnswer: 5180*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 + 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - q - 4. Let l be j(-4). Suppose -5*o + 11 - 1 = l. Let b = -3.95 - 0.05. What is the biggest value in o, b, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129752 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 113. Suppose -f = -4*l + 1404, -u*l + 0*f + 3*f = -1062. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38425*a - 34836 wrt a?\nAnswer: -38425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68357.\nAnswer: 17, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2390*t + 2380*t - 3 + 3.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 3)\/12*-3. Let g(j) = j**2 - j - 2. Let t be g(0). Is -38*(m\/t)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855.5 rounded to the nearest ten?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -54*j + 3036. Solve -j*y + 47*y = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 45 = -19*q - 4*k, -5*k = 25. Suppose -4*m - q*c + 67080005 = -m, -3*m - 4*c = -67080004. Round m to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8407 = -13*m - 2869. Let c = m - 410. Calculate the remainder when 223 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -515065 - -4?\nAnswer: -515061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuugaeiu. What is prob of sequence iuei?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(9)\/sqrt(3)*-4)**2 + sqrt(36)\/sqrt(192).\nAnswer: sqrt(3)\/4 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474503.2 minutes to milliseconds.\nAnswer: 28470192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*g = 2*g - 1624, -4*t + 1624 = 3*g. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3 + 2 - 7) + (10 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.314 - -0.014. Let l = h - -4.3. What is the second biggest value in l, -2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(68) + 4 + 5 + (1*sqrt(68) + 0 + -4*(-2*sqrt(68) - sqrt(68)))**2.\nAnswer: 2*sqrt(17) + 11503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13858168*v - 2254264 wrt v.\nAnswer: 13858168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 528847 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 13*r**4\/24 + 35*r**3\/6 - 4*r**2. Does 20 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433152 minus 99?\nAnswer: 433053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15848*k - 5284*k - 5286*k - 5276*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 5*b**3 + 5*b**3)*(-b + 3*b - 3*b + (b - 5*b + 2*b)*(1 - 3 + 3) + b - 4 + 4) - 1365*b**4 + 5402*b**3 - 5402*b**3.\nAnswer: -1361*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022133 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/(-91) + 78\/(-42))*(-3)\/2. Let g be 1*(-1)\/((-2)\/4). Solve -g = -w + i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66.1133 * 8.\nAnswer: 528.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 44*h - 32. Determine j(-14).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401947 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -31, 13, 2, 341, -5, 3 in increasing order.\nAnswer: -31, -5, 0, 2, 3, 13, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19227993 divided by -183\nAnswer: 105071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 + (2 - 7\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0, -19, 5, -99, 3\/88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1805712139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8625 = -4*t, -8 = 4*j + 12. Let p(d) = -d**3 - 7*d**2 + 5*d - 2. Calculate the remainder when 2\/(-5) + t\/(-25) is divided by p(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296 + -282. What is the remainder when 39 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*y - 3, -14*q + 17*q + 5*y = -13. What is the third biggest value in q, -3, 3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 52*l**2 + 662*l - 9. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 - 6*p**4 + 0*p**4)*(103 - 87 + 118 + 111 + 596).\nAnswer: -7569*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -307510472?\nAnswer: 307510471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a. Let s(r) be the second derivative of -r**3\/6 + 4*r + 2. Give s(g) + w(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1015 - -678. Let m = -341 - f. Let h(r) = 12*r**2 + 14*r - 14. Let b(x) = -x**2 - x + 1. What is m*h(y) - 56*b(y)?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 28*j + 422. Calculate q(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*h**2 - 1 + (-10 - 5 - 7)*(0*h**2 - 2*h**2 + 4*h**2) - 9 + 7*h**2 - 7*h**2 - h**2 to p + n*h**2 + a*h and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*u**3*w**2 - u**3 + 16*u**2*w + 5*u**2 + 23*u*w**2 + u - 6*w**2 wrt u?\nAnswer: -54*u*w**2 - 6*u + 32*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57856*o**4 - 7*o**3 - 114825*o**2 + 2*o + 5?\nAnswer: -1388544*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 + 5 = 0. Solve -5*p + 4*n - 36 = 0, 24 = p - 3*p + d*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 12 - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/66 and -65\/2079756.\nAnswer: 22877316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*18\/(-9)*(-2)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*b - 943 + 267 = 0, -u - b + 225 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/112 and -41\/840?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82294 is divided by 1870.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/120 - 11*i**5\/60 + 7*i**4\/12 + i**3\/3 + 178*i**2 + 12*i. Calculate j(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from jjjjmmjjmjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1860 and 1674.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*d)*(10 - 20*d**2 - 10) in the form i + k*d**2 + q*d**3 + r*d and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*t**5 + 37*t**4 - 7*t - 16.\nAnswer: 280*t**3 + 444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 118, 1, -37, -2146 in decreasing order.\nAnswer: 118, 1, -3, -37, -2146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9712 and 363593.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137924806 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 51*h - 13. Let c(g) = 17*g - 4. Let q(f) = -7*c(f) + 2*o(f). Let p be q(-4). Suppose -2*y + 48 + 8 = 0. What is the highest common factor of y and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 l, and 2 k when four letters picked without replacement from {w: 1, l: 5, k: 2, r: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 15. Let u be (-6)\/(1\/(y\/2)). Suppose 0 = 5*c + d - 157, -4*c - u*d + 126 = -2*d. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 46 (b) 5 (c) -0.07 (d) -14 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 7*d**5\/10 - 49*d**2 + 72. Let n(h) be the second derivative of c(h). Let x(v) = v**2. Give n(x(t)).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 + 6*r + 6. Let m = -51 - -114. Calculate the remainder when m is divided by q(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9122*w - 12222 = -10743*w + 38029 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 596 = 2*n. Suppose -2*q + n = -0*q. Suppose q = 4*y - 31. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7242*k**2. Let b(r) = -67541*r**2. Give b(n(g)).\nAnswer: -3542293379124*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -172510*m**4 + 239448?\nAnswer: -690040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 19 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-18))\/((-16)\/(-64)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, 9, 166, -3, -5, 3 in decreasing order.\nAnswer: 166, 9, 3, -3, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 82 - 38. Let i be ((-10)\/d)\/((-2)\/(-4)). What is the third biggest value in 2, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 r when four letters picked without replacement from {g: 2, d: 2, r: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 2*q**5 + q**5 - 4*q**3 + 2*q**5 + 4*q**3 + (-2 + 0 + 0)*(-3*q**3 + 3*q**3 - q**5) - 6*q**5 + 0*q**5 + 4*q**5 + q**5 - 7*q**5 - 2*q**5.\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + 2. Suppose l*c - 7*c + 36 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 5. Calculate the remainder when 80 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004264239 to five decimal places.\nAnswer: -0.00426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19183467 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 ((-1)\/(-9))\/((-32)\/24)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -1064, -1593, -2120?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 799\/7. Let o = -41\/20 - -9\/5. Sort a, o, -2\/5 in increasing order.\nAnswer: -2\/5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose o + 2 = r, 4*o = -s*r - 0*r + 28. Let b(i) = i - 3. What is b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**2 - 12*m**2 - 6*m**2 - 4*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*g + 40669 + 76950 - 12194 = 18422 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12*o - 10*o - 229 = 0, -4*o = 4. Let j be (253\/k)\/((-2)\/(-14)). Are j and 116\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*r - 3, 4*r - 88 = 5*q - 89. Suppose 0 = k - 2*b + 1 - 6, -4*k + 2*b + 8 = 0. What is the greatest common factor of k and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2196 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5897 + 5?\nAnswer: -5892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17.8 times 4\nAnswer: -71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(8\/(-120)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.61 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/12519 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2321095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1572982904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 1)*(-9*z**4 + 25*z**2 - 25*z**2) to the form j*z + x*z**2 + i + r*z**3 + o*z**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 232695405 divided by -333?\nAnswer: -698785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*i - 6*d**4 - 3*d**3*i - 82*d**3 + 3*d**2 + 663*d*i + 4*d wrt d?\nAnswer: 48*d*i - 144*d - 18*i - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 34. Let m(z) = z**3 + z**2 - 4*z + 2. Let v be m(3). Suppose -j*a + 98 = -v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(162) + sqrt(2))*2) + (3 + 0 + sqrt(2))**2.\nAnswer: -13*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29736.046 + 29774. Let d = -38.023 - -0.023. Let j = h + d. Round j to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 1. Let d(w) = -w**3 - 3*w**2 - w - 4. Give -d(r) + 2*h(r).\nAnswer: -r**3 + 3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020784 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*g - 16 = 0, 476*c - 473*c - 10 = 2*g for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15*v**2 + 7456*v - 7921. Give y(496).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 9030*u**3 + 9033*u**3 + 465*u - 4*u**2 + 2*u**2.\nAnswer: 3*u**3 + 465*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 274*t + 12. Let d be c(2). What is the greatest common factor of d and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (55 + -9)*(1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 47*x**2 - 9*x + 13. Determine d(2).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 17746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-23\/4)*k)*k\/(k*k**(1\/29)*k))**(-41))**(-8\/13) assuming k is positive.\nAnswer: k**(4182\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000806091 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138359758.\nAnswer: 2, 31, 2231609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a century in years?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 3:55 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k**3*w**3 + 3135*k**3*w**2 + 61*k**3*w + 262*k**3 - 20*k - 19*w**3 wrt w.\nAnswer: -90*k**3*w + 6270*k**3 - 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkffk. Give prob of sequence kfk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325.1 - -325. Sort n, -21, 5 in decreasing order.\nAnswer: 5, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -26*o. Let u(q) = -33*q - 84. Determine u(w(g)).\nAnswer: 858*g - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 4*h - 15, 3*x - 5*h - 24 = 0. Let k(c) = 5*c**3 + 5*c**2 + 3*c + 4. Let y(n) = -4*n**3 - 6*n**2 - 2*n - 3. Determine x*y(i) + 2*k(i).\nAnswer: -2*i**3 - 8*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -591 in 0.1, 3\/5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l**2 - l**2)*(-582 - 6*l + 251 + 287).\nAnswer: -6*l**3 - 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-19 - (11 + 23)) + 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:38 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -0.38. Let m = 1.4 + r. Let q = 4 - 5. Are m and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 266732486 - -299.675.\nAnswer: 266732785.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = -4*l, -l + 7*m + 6 = 2*m. Let a be (-8)\/l - (-165)\/(-45). Let t = a + 5. Solve t - 6 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7*l - 312 = 0. Suppose -4*x = 4 - l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30171660)\/(-90)*(-12)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 20. Let k = -1 - 3. Which is the nearest to -1? (a) y (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -44, -104, -198, -332, -512, -744?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-7)\/2)\/((-110)\/20 - -5) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + c3?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 406, 379, 334, 271?\n\"Answer: -9*j**2 + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*i - 28 = 1, -4*i + 47 = 3*d. Let u = d + -5. Solve -u = -3*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**2. Let r(y) be the third derivative of y**5\/20 - 15*y**3\/2 + 4337*y**2. Determine o(r(l)).\nAnswer: -99*l**4 + 2970*l**2 - 22275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 20 = 0. Let s(f) = 2*f**2 - 4*f + 1. Let o be s(3). Differentiate -o*c + k - 3*c**4 + 7*c + 0 with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 4:56 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away -1917476345283?\nAnswer: 1917476345284.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68442, -136887, -205330, -273771, -342210, -410647, -479082?\nAnswer: -547515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134513568 by 92.\nAnswer: 1462104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*1) + sqrt(3) + (sqrt(432)*1 - sqrt(432)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1192.\nAnswer: 1192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(4\/9)))\/h)\/((h\/((h\/h**10)\/h))\/h) assuming h is positive.\nAnswer: h**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2 + 711460*c + 45549824 = 0.\nAnswer: -64, 177929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1619, -38984, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2)\/n*n*n))**(-37)\/(n**(2\/5)*(n\/(n**5*n)*n)\/n)*n**(-2\/7)*n**(1\/6)*n**8\/n*n\/(n\/(n**(-1)\/n)) assuming n is positive.\nAnswer: n**(-13549\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(14) + (sqrt(70)\/sqrt(5) - sqrt(14))))\/sqrt(7).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*n + 192, -2*x - 191 = -0*x + 5*n. Let p = 102 + x. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 4, s: 2, h: 1, b: 1}. What is prob of picking 1 r, 1 b, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -53.002.\nAnswer: -58.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22*l - 1 + 2*l + 7*l. What are the prime factors of q(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519032990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 195?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n + 95*n + 161*n + 17889 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001 equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**3 + 8*r**2 + 1563*r + 142*r**5 - 11*r**3 + 133*r**5 - 274*r**5 + 2*r**4 wrt r?\nAnswer: 20*r**3 + 24*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2 + 4 - -2*-1*(-1 + sqrt(17) - sqrt(17)).\nAnswer: -6*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*o - 523*o + 270*o - 420 = 0 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -0*f. Suppose 0 = -f*i + 2 + 2. Let 4*c**i + 0*c**2 - 5*c**4 + 4*c**3 + 2*c**5 - 6*c + 2 - c**4 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:57 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-10)\/6 - -2) - -2. Let g = 373 - 150. Suppose 4*w + n = g + 551, -780 = -4*w + q*n. What are the prime factors of w?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 2. Let q(i) = -i**2 + 5*i - 2. Let s(t) = d(t) - q(t). Determine s(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14373133*n**5 - 110426*n**2?\nAnswer: 862387980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let r be (-81)\/(-6)*(-2)\/(-3). Suppose -i*w - r = o, -2*w + 7*w = -5*o. What is the closest to 1\/3 in o, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = 5*c. Let w be (-2)\/(c\/(4\/4)). Let q(n) = 6 - n**w - 4*n - 2 + 5. Let f(u) = -2*u + 4. Give 5*f(r) - 2*q(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 + (17 - (11 - 47)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 47*o**2 - 34*o + 80. Is z(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x - 191 = -3*z, z - 52 = -x. Let p = -39 + z. Suppose -2*h = -n - 3 - 3, -3*n - 3*h = -p. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 581*k - 45712. What is i(79)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 20 - 52 = 0. Suppose r - 8075 = -6*f + 4*f, -m = -3*r. Suppose f = -b + 5*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935044.2km in micrometers?\nAnswer: 935044200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4065.9999972374 + -4066. Round w to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m + 0*m + 89 - 123. Let q be g(5). Solve 2*u - 5 = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 + 2*d - 5*d**2 - 41*d**4 - 83 - 9*d - 8*d**3 + 42*d**4 + 5*d in the form i*d**2 + o*d**3 + r + q*d**4 + h*d and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-196)*3)\/((-640)\/112).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 547468 and 33864.\nAnswer: 3284808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*f - 20, 3*f - 1966*h + 25 = -1961*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k + 14. Let h(g) = 6*g + 10. Let w(t) = 7*h(t) - 5*n(t). Let p(d) = 5*d - 2. Give p(w(b)).\nAnswer: 10*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10290 and 12900230.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*p - 1 + (-p + 4*p - 4*p)*(-2 - 4 + 4))*(0 - 6 + 2 + (4 - 5 + 0)*(1 - 6 + 3) - 2 - 3 + 3 + 0 - 1 + 0) to the form i*p + s and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/9))\/r*(r**(6\/5)\/r*r)\/r)\/(r**(-3))**(-3\/10) assuming r is positive.\nAnswer: r**(-43\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 89 = 25. Let t(f) = 3*f**2 + 106*f + 65. Calculate the remainder when t(-35) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(30\/(-15)) - 3\/(-99)*233?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**3\/3 + 5*l**2\/2 + l - 7. Let q be c(-4). Is (-4 - q)\/(2\/(-238)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -6, -5, -21 in descending order.\nAnswer: 6, 0, -5, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 - 243 = 2*r, i - 3*r + 211 = 0. Is i*(9\/6 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -132. Let p(o) = -o + 15. Calculate the lowest common multiple of 42 and p(d).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53\/343 (b) -1\/3 (c) -6090\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -63\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkttkkeetkkkketkee. What is prob of sequence ttke?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 2)*48\/14 + -8. Sort 2, -11, y, 1.\nAnswer: y, -11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*b**2 + 3*b**3 + 8526*b - 698*b**2 - b**3.\nAnswer: 2*b**3 + b**2 + 8526*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -61. Let o(x) = -x**3 + 12*x**2 - 8*x - 30. Let n be o(11). Let b be l\/30*n\/2. Solve 5*t = 2*m - 35 + b, 5*t = -2*m - 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1634309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.0018 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.6 - -23. Let i = v - -2. Let x = i - -0.4. Which is the second biggest value? (a) 5 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -17?\nAnswer: -54\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -2d?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqlpqqpqpqllfqf. Give prob of sequence plp.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/15 + f**4\/3 + 9*f**3\/2 - 4*f**2 - 7. Differentiate c(w) wrt w.\nAnswer: 8*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 + 20*k + 5. Let f(s) be the first derivative of 5*s**3\/3 + 19*s**2\/2 + 4*s - 112. Determine 5*f(r) - 4*p(r).\nAnswer: r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301 + -301. Solve -10*p + 43 - 3 = j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.29493 * -37\nAnswer: 10.91241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 410640 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*h, 2*h - h = 3*y - 16. Suppose 0 = y*u - u + 5*t - 15, -u = 4*t - 12. Suppose 4\/3*w**3 + 0*w + 0*w**2 + u = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3)\/((-60)\/216). Let z(w) = -6*w**3 + 8*w**2 - 5*w. Let a(c) = 7*c**3 - 9*c**2 + 6*c. Let y(p) = f*z(p) - 5*a(p). Factor y(o).\nAnswer: o**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g + 131544 = 16*g. Is g a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 5 (c) -1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z**14 assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*s + 308*s - 18*s - 580*s)*(2*s + 0*s + s).\nAnswer: -1965*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 3, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 0.04. Let y = -0.01 + 0.31. Let o be 4\/22 - 162\/165. Which is the biggest value? (a) y (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 196*h**5\/45 + 448*h**4\/3 - 3596*h**3\/27 - 2180*h**2\/3 - 5600*h\/9 - 2066. Solve y(z) = 0.\nAnswer: -28, -5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -780, 75, 1694, 4077, 7224?\n\"Answer: 382*s**2 - 291*s - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (40\/8 + 5). Let z(y) = -4*y**3 + 6*y**2 + 5*y + 6. Let h = -13 - -7. Let g(w) = 5*w**3 - 7*w**2 - 6*w - 7. Give a*g(l) + h*z(l).\nAnswer: -l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 20.377 centuries?\nAnswer: 24452.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 33*q + 166. Let a be m(-5). What is the nearest to -1 in 0, 2, a, 167?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4020 - 3937. What is the greatest common factor of 10375 and b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 67*v - 1521. Let p(i) = -i**2 - 16*i + 379. Let w(u) = -2*g(u) - 9*p(u). What is w(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5230? (a) 1\/5 (b) 3 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - f**3)*((-f + 2 - 2)*(-2 + 0 + 3) + 3*f - 3*f - f - 3*f + f + f).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639 + -638.99537. What is c rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 8621.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*g**3 - 140*g**3 + 90*g**3.\nAnswer: 138*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1304365671, 1304365670, 1304365669?\nAnswer: 1304365668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:48 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665902*t**2 - 501801*t**2 + 1167708*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -20*u**3\/7 - 2827956*u**2\/7 - 13573708*u\/7 + 403980 = 0.\nAnswer: -141393, -5, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -53. Let i be (45\/(-36))\/(h\/4). Suppose -6956 = -2*d - 3*p - 25710, i*d - 5*p = -46910. What is d rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108446 is divided by 2767?\nAnswer: 2759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2246 + 310 = -4*v, 5*v - 4*b - 2420 = 0. What is the highest common factor of 44 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69259 + -25746. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1680, 2\/9, -5, -4 in increasing order.\nAnswer: -5, -4, 2\/9, 1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*z + 2*z + 87 = 0, j + 24 = -2*z. Let d = 14 + j. Let g = d + 45. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234906978 a multiple of 5276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzzzzzzddcjzcdcczzg. What is prob of sequence cgc?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 15*d - 18*d - 17, -4*d - 12 = 4*r. Suppose -7 = -4*l - f, 0 = 4*l - 4*f - 41 + 9. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.803 - -0.103. Let c = -15.7 - p. What is the smallest value in 5, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21534 divided by -7178?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2947*k**3 - 3*k - 1833. Let a(h) = -8842*h**3 + 10*h + 5501. Let f(i) = -3*a(i) - 10*n(i). Find the first derivative of f(o) wrt o.\nAnswer: -8832*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/96)\/(12\/(-64))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - o**3 - 12*o + 9*o**2 + 8 - 2*o**2 + 7*o**2. Let i be h(9). Suppose p = -3*p + 2*j + 48, -5*p + 2*j + i = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -1187, -2677, -4765, -7451, -10735, -14617?\nAnswer: -19097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2403041240 (base 5) to base 15.\nAnswer: -7400d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -1\/5*c**2 + 0 + 51\/5*c = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + sqrt(1216) + 1)) + 5)**2 + 4.\nAnswer: -64*sqrt(19) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 28*x + 22. What is y(-7)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309 + -307. Let t be ((-132)\/88)\/(k\/(4\/(-3))). What is the nearest to -6\/13 in t, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 303*j**2\/2 + 2*j - 1. Let o be 21\/28*1\/(1\/4). Is a(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -857.99015 - -858. What is q rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -41, -95, -199, -371, -629?\n\"Answer: -3*s**3 + 2*s**2 - 7*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-42)*9*14\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 80. Let u = -29 - m. What is the biggest value in u, -2, -4\/3, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 0, -4*y + 5*y - 4*n + 0*n = 5*y - 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 671. Let t = l + -444.2. Which is the nearest to 0? (a) 4 (b) t (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*i - 187 = 4251, -8888 = -4*j - 4*i. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565847029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**5 - 2159*p**3 - 6708*p?\nAnswer: -40*p**3 - 12954*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406 = -33*k + 500*k - 695 - 767 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*r + 280*r = 120. Which is greater: -14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 556263884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-350))\/(26\/40))\/(2\/7)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2175 divided by 5\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 53. Let w(c) = 5*c - 46. Let v be w(12). Suppose -k - 5*z = -3*k + v, -k + 3*z = -7. Solve -q*i + k = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f. Let d(b) be the second derivative of b**7\/1260 + b**4\/2 + 4*b. Let u(v) be the third derivative of d(v). Give u(h(n)).\nAnswer: 450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:31 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. What is the lowest common multiple of 130 and -28*(0 + c)*(-2)\/4?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 383138173 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -608*h**2 + 610*h**2 + 2*h**3 + 11 - h + 6*h**3 + 0 in the form q + a*h**2 + z*h + y*h**3 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**4\/4 - 2*i**2. Let t(d) = -2*d. Give u(t(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:37 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*z - 2*z. Suppose 0 = -4*c - p + 1 + 11, 0 = -z*c + 2*p + 15. Solve -5*u = -c*b + 9, -3*b - 2*u - 5 = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12 and 53\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -24156449*a. Let u(n) = 2*n**2. What is u(y(i))?\nAnswer: 1167068056579202*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 1. Let v(g) = 3*g + 1. Let t(c) = 5*u(c) + 3*v(c). Suppose -5*p + 0*p - 20 = 0. Let f be t(p). Solve -h + 2*h = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httutijiihniituhhtui. What is prob of sequence tini?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-6))*q)\/q)**(-2\/139)\/(q*q**(-10))**(-33) assuming q is positive.\nAnswer: q**(-41271\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 + 24.6. Put -5, x, -0.2 in descending order.\nAnswer: x, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - 32\/((-1824)\/(-399))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o + 4. Let b be a(7). Suppose 4*c - 5*k = -c + 10, 3*k + 10 = b*c. What is the least common multiple of c and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-15)\/l)\/((l*l**(3\/7)*l)\/l) assuming l is positive.\nAnswer: l**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/65)\/((-21)\/(-45)). Let s = 7.3 - 7. Let q = 78 + -627\/8. Which is the third biggest value? (a) m (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11698410, 11698368, 11698326, 11698284, 11698242, 11698200?\n\"Answer: -42*o + 11698452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10156.76244 rounded to the nearest integer?\nAnswer: 10157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)*4 - -8 - 2. What is the third derivative of 414*l**5 + 4*l**4 - 62*l**g - 356*l**5 - 4*l**4 wrt l?\nAnswer: 3480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3. Let c be q(0). Suppose -2*b + c*b + 8 = 0. Solve b*s = -4*i + 28, -11 = -i - 5*s + 2*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99473?\nAnswer: 11, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367 - -364.027. Let h = -0.027 + d. Let a be ((-3)\/6 + 1)*0. What is the nearest to 4 in h, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 36*r**3)*(1 + 2 - 4) - r**3 - 5*r**3 + 4*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*k**2 + 537*g*k - 5*k**2 + 166*k + 2 wrt g.\nAnswer: 2*g*k**2 + 537*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95 - (-104 - -62 - 67).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r*r*r**15*r)*r*r)\/r)*r*r**(-4\/5))**(-23\/5) assuming r is positive.\nAnswer: r**(-2093\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**5\/120 - z**4\/8 + 5*z**3\/3 + 4. Let r(n) be the third derivative of m(n). Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181634162 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*o + 8*o**2 - 31*o + 4*o**2 to the form q*o + m*o**2 + b and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/136*-2). Let g be l\/9 + 2\/9. Solve 2*y - g*n + 20 = 0, 2*y + 0*n + 2*n - 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcygwws. Give prob of sequence wg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1143 and -7\/264.\nAnswer: 100584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*s + 436*s**2 - 877*s**2 + 188*s - 645*s + 438*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70688730431.00000833 + 70688730144. Let w = 287 + d. What is w rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/6, -1\/35, -1\/8, -0.2?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234\/251791 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 26*z - 2254658 = -21*z, -5*z + 626345 = 5*x. Round x to the nearest 1000.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -88. Solve j = -t - 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*k + 5 = -4*k, -4*t = 3*k + 15. Let u be (9\/4 - 3)*-40. Suppose 4*o - 2*o - u = t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4212*-4\nAnswer: -1.6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337147 is divided by 403?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/425 + (-1760)\/(-2550)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 9 = -4*q, -2*k = -4*q + 34. Let o(g) = 3*g - 27. Let c be o(12). Suppose -w = -2 - 1. Solve 0 = -w*z + c + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*t + 7 = 0, -1 + 35 = -10*l + 4*t. Which is the second biggest value? (a) -0.2 (b) 10 (c) l (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*c + 5*c + c)*(-4 - 5 - 15 + 33)*((2 + 2 - 6)*(1 + 1 - 1) + 9 - 5 + 14) in the form x*c + k and give x.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-7)\/b**(-1\/7))**(1\/24))**(2\/35))**32 assuming b is positive.\nAnswer: b**(-128\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by -8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.4595573 rounded to the nearest integer?\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142030 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200286.\nAnswer: 2, 3, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3904, 7815, 11728, 15643, 19560, 23479, 27400?\nAnswer: 31323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**3 + 8*n + 3. Let b(f) = 8*f**3 + 9*f + 4. Let c(t) = 3*b(t) - 4*h(t). What is the second derivative of c(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4145 + -2172.2655. Let i = m - -2134. What is i rounded to 0 decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 19 = -3*o, 5*o + 2*g + 1 = 38. What is the remainder when 200\/12*3\/2 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 12*r**2 - 10*r + 5. Determine z(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*d = -26, -5*n - 2*d + 45 = 16. Let q be 10*n*(-8)\/(-100). Suppose 7*k - 57 = q*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 401523 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 times 0.07?\nAnswer: -25.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*a - 4 = -16, 0 = -j + 2*a + 15. Solve 2*b - 5*l - 4 + j = 0, b + l = -6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2 and 11\/(-132)*(-35)\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 4*f - 1. Let s(k) = k**2 + k + 1. What is -c(z) + s(z)?\nAnswer: -z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 + (-9 - -2) - 9) + 9. Solve 4*n - x*i + 18 = 0, 4*n - n = 2*i - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l**2)*(l**2 + 9 - 9) - 21*l**4 - 10*l**3 + 10*l**3 + 13*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/60 - w**5\/20 + w**4\/6 - 2*w**3\/3 - 8*w**2. Let n be y(3). Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3453 = -7*r + 10*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 5 (c) 3 (d) -2 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzggggzzgggzgggggzg. What is prob of sequence zgzz?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21832, -21863, -21920, -22003, -22112, -22247, -22408?\nAnswer: -22595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27742668 and 2.478.\nAnswer: -27742665.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 203 from -188.184539.\nAnswer: -391.184539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*c + 2, -10*x = 10*x - 22*x - 17*c + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/7 + 48\/8*(-24)\/504\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238 - 233. Suppose -b*j = 4*n + 173 - 753, -4*n - 348 = -3*j. What is the greatest common divisor of j and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:54 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -4) + -202 + 215.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 126528584 (b) -2\/21 (c) -2\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10)*10\/4. Let q = -1 - -1.4. Let b = q - 0. What is the closest to j in b, 2\/3, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*c**2 + 95*c**2 - 8*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/1100*-10*(-21)\/(-6)*-2.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000805 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruu when three letters picked without replacement from {u: 2, a: 2, y: 2, b: 5, r: 4, l: 4}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) 4 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3739 - 2664. Which is smaller: a or 1076?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -15. Let c be 63\/(-7) - 1*a. Let h(l) = -3*l**3 - 6*l**2 - 5*l - 6. Let i(z) = 9*z**3 + 17*z**2 + 14*z + 17. Determine c*i(m) - 17*h(m).\nAnswer: -3*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941480.39373 - -4?\nAnswer: -1941476.39373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1463 + -1040. Let h = f - 181. Let s = 242.219 - h. Round s to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**2 - 32*w + 32*w)*(2*w**2 + 0*w + 0*w + (0*w + 0*w + w)*(0*w + 2*w - w)).\nAnswer: -42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 3*r**2 + 2*r**2 - 391*r + 391*r + 611*r**2 + (2*r - r - 3*r)*(0 + 2*r + 0) to the form a*r + g + y*r**2 and give y.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.216 (b) -0.3 (c) -30.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(12)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -392\/13, 107\/5?\nAnswer: -392\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/3*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.0605 and -7553?\nAnswer: 7554.0605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2415847 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9815432061229381\/15624 - 628227858776. Let o = -1\/1953 - w. Let s = -270 + o. Calculate the common denominator of s and -19\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdw when three letters picked without replacement from {w: 7, m: 2, d: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**3 + 7*d**3 + 6*d**3)*(-d - 4*d + 2*d) + (4*d - 2*d + d)*(-d**3 + 3 - 3) + 5 - d**4 - 5 to r + t*d**3 + m*d**2 + i*d + l*d**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207230, -207277, -207326, -207377?\nAnswer: -207430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 901, 2031, 3613, 5647?\nAnswer: 8133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/((-72)\/4))\/(107\/(-3)))\/((-2609)\/10436).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yna when three letters picked without replacement from yassnqahh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 446841*g**2 + 160257447*g - 14351644515.\nAnswer: -3*(g - 179)**2*(g + 149305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v - 9*v**2 + 17*v - 10*v - 59*v + 22*v + 11*v**2.\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2214 divided by -50816\nAnswer: -1107\/25408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 14*x + 1\/2*x**3 + 31\/2*x**2 + 0. List the prime factors of y(14).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726880 divided by -4\nAnswer: -181720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 175*t**5 - 1962370*t**4 + 10872795*t**3 - 11599200*t**2 - 12105180*t + 6052320 = 0.\nAnswer: -6\/7, 2\/5, 3, 11208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*t**5 - 172*c*t**3 - 88*c*t - 117*c wrt t.\nAnswer: -80*c*t**3 - 1032*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s + 32*s - 50*s + s**3 + 3 - 6*s**2. Determine i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/8 - 4365*w**4\/8 - 318461*w**3\/8 + 15554973*w**2\/8 - 7534277*w\/2 + 1863120 = 0?\nAnswer: -105, 1, 32, 4436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.81? (a) 3\/4 (b) 2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*u - 256221, 5*u = 57*m - 55*m - 170852. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3, 3*q - 16*j = -14*j + 146. Find the third derivative of -q*s**3 - 12*s**2 - 38*s**3 + 38*s**3 wrt s.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millisecond in nanoseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -2*o - 730. What is the common denominator of 46\/5 and 6\/(-24) - o\/12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67871950 divided by 271\nAnswer: -250450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/sqrt(2)) - (sqrt(7) + 2*sqrt(175) + sqrt(175)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 332287679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, -3, -27, -63, -111, -171, -243?\n\"Answer: -6*p**2 + 6*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 90. Let z = 16 + u. What are the prime factors of (32\/z)\/((-3)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(243) + (sqrt(243)*-3 + sqrt(243))**2 + sqrt(243) - (sqrt(243)*1 + -3)**2.\nAnswer: 72*sqrt(3) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9039.97 + 8993. Let r = 53.9 + i. Let s = -0.07 - r. What is the third biggest value in 2\/7, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*j - 3, -5*t - 19 = -2*j - 2*t. Suppose 3*p - 59 = 2*l - 16, 4*l + 53 = 3*p. Solve -j*h - 12 = 2*c, -3*h - 3 = c + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.312161km?\nAnswer: 5312161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**5\/15 - 2*m**4\/3 + 4*m**3\/3 + 4*m**2\/3 - 10*m\/3 + 24. Solve o(p) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286*g**2 + 599*g**2 + 689*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0107 + -40.5893. Let s = 41 + n. Which is the smallest value? (a) 7 (b) -2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5\/23 - 6*h**4\/23 - 82*h**3\/23 + 2*h**2 + 78*h\/23 - 40\/23 = 0?\nAnswer: -4, -1, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -41) + 0 + -10 + -3\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 13. Determine a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 6 = 0. Let u be ((-7)\/(-14))\/(2\/(-8)). Let n(f) = 4*f**2 + 7*f. Let i be n(u). Solve t - a = i*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 4 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose -j + c = -34. Let f = j - 22. Solve 0 = -5*y + f, -3*y + 14 = t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588365355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 - 2*d - 49. Give x(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2093*d**3\/3 + 9*d**2\/2 = 0.\nAnswer: 0, 27\/4186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 28*h + 7. What is a(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -851, 2, -1, 4, -1135, -20 in ascending order.\nAnswer: -1135, -851, -20, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 71*c**2 + 93*c - 1511. What is p(72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 600 or 623?\nAnswer: 623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/31? (a) -0.1 (b) 12 (c) 0 (d) 0.2 (e) -884 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -3131 - 7125. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/(-6)*(-34)\/3825*50.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14. Which is the nearest to 2\/7? (a) 1\/9 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011111 (base 2) in base 12?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-122)\/(-24))\/1*(158 - -6). Let j = -857 + k. Calculate the common denominator of j and -109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 331 - 339. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, 1, 81, -2, -23 in decreasing order.\nAnswer: 81, 3, 2, 1, -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d - -4112?\nAnswer: 4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*x + 64954*x**2 + 312*x - 542*x - 129907*x**2 + 64955*x**2.\nAnswer: 2*x**2 + 98*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + i**3 - i**3 + (5*i**4 - i**4 - 5*i**4)*(-2 + 2 + 2*i) + 5*i**5 - i**5 - i**5 + (0*i**3 - 3*i**3 + 5*i**3)*(-3 + i**2 + 3)*(2 - 1 - 2).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2a856 (base 11) to base 15\nAnswer: cdd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 4983\/(-165) - (-8)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3*(-711)\/3950?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - k + 2*k + (3 - 3 + 2*k)*(2 + 5 + 0) + 5*k - 3*k + 2 - 1 + k + 3 - 3.\nAnswer: 14*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*y, 3*t - 5*y - 2 = -8. Suppose 2*o - i - 17 = 0, -2 = -2*o + t*i + i. What is the remainder when 18 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5445 is divided by 691.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 12\/(-5)*(-20)\/8. Does 9 divide s\/(-6)*-12 - (-320 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + g = -8, -5*g + 3 + 1 = -4*a. Suppose -3*p - a = 5*n, 3*p + 2*n = 3 - 1. Sort p, 4, 18 in descending order.\nAnswer: 18, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m - 1. Suppose 0*t + 2*t - 2 = 0. Suppose b - p + 3*p = -t, -p = 5*b + 5. Is u(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h + 2. Is 13 a factor of d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 59*g - 91. Let k be l(-31). What is the closest to -13 in -2, -0.4, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, -768*c = -3*w - 766*c + 11. Let b = 14 + -21. Sort 1, b, w, -0.5 in ascending order.\nAnswer: b, -0.5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-5)\/r))\/r)\/r)\/(r**4*r)*((r**7\/r)\/r)\/(r\/(r*r**(2\/13)*r)))\/((r**(-2\/3))**21\/((r\/(r*r\/(r\/(r**4\/r))))\/r*r**(-5))) assuming r is positive.\nAnswer: r**(145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 240*j**2 - 270*j - 453. Let i(v) = -57*v**2 + 67*v + 113. Let m(l) = 21*i(l) + 5*t(l). What is m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w - 2*w**2 + 0*w**2)*((1 + 1 + 1)*(1 - 5 + 1) + 0 + 4 - 2)*(-1 + 4 - 5).\nAnswer: -14*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 502 = 2*j, -j + 36 = 40. Solve 9*u + 66 - o = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/3 + 40310*c**2\/3 + 3971284*c\/3 + 3930976\/3 = 0. What is c?\nAnswer: -20056, -98, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6*d + 2*c = 0, d - c = 3. Let h(b) be the third derivative of 1\/180*b**5 + 0 + 3*b**d + 1\/18*b**3 + 0*b + 1\/36*b**4. Let h(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -1 (c) 0.2 (d) -34 (e) 1.17 (f) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723990269 is divided by 1912.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.86. What is the smallest value in p, 0.3, -2\/9, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.81 - -0.03.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-4)\/q)*q)\/((q*q**(2\/3))\/q))**(3\/11) assuming q is positive.\nAnswer: q**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 29. Let c(s) = -72*s + 2. What is the units digit of c(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219659 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10359 + 12325. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 6*p - 7. Let n be a(7). Put n, 3, -5, 1 in decreasing order.\nAnswer: 3, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**3 + 0 + 1\/120*i**4 + 0*i**5 - 1\/600*i**6 + 114*i**2 + 0*i. Let j(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + -31?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 294546071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -25*x + 2. What is n(-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018720223811 to five dps.\nAnswer: -0.01872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -319176, -319177, -319178, -319179?\n\"Answer: -k - 319175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-53298)\/315 - 3\/5)\/(-1). Let j = i + -2447\/15. Factor -j*x - 50\/3 - 2\/3*x**2.\nAnswer: -2*(x + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 2. Let x be 48 + -1 - (7 + -10). Let y = -53 + x. Let c(d) = 3*d + 2. What is y*c(z) - 2*v(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:09 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6354 less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -7425 = -8982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.18 - -0.42. Let d = r + -13. Let w = 3.6 + d. Round w to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j + 16. Suppose -24 = -5*v + v + 4*t, 22 = 3*v - 5*t. Determine z(v).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {m: 5, a: 4, f: 3, h: 4, w: 3}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Calculate y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/8 - 4041*s**2 + 87123951*s\/8 - 87059307\/4.\nAnswer: 3*(s - 5387)**2*(s - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 45*z**3 + 96*z**2 + 49*z.\nAnswer: -z*(z + 1)**2*(2*z - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1797*m**3 + 14*m**2 + 1795*m**3 - 3600*m**3)*(3 - 3 + m) to the form y*m**3 + w + r*m + i*m**4 + l*m**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/4 + 2*y. Let h(p) = p**2. Give k(h(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15535861 divided by -3?\nAnswer: -15535861\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:13 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h. Let j(z) = 4*z**2 - 103*z + 627. Let k be j(16). Solve h = -k*p + 4*q + 15, -3*q + 8 = -p - 6*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 w, and 1 u when four letters picked without replacement from {e: 4, u: 3, w: 2, x: 9}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 8*x**2 + 6*x + 6. Let p be n(7). Let l be ((1 - 0)*0)\/p. Let d = 2 + -3. Does l = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*a + 304*a + 169 - 237*a - 169.\nAnswer: -196*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031697018?\nAnswer: 2, 3, 11, 5210591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*q - 18 + 55, -3*k = -5*q. Suppose -2*r + r = -1375. Suppose -495 = k*t - r. What is the greatest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 203*k - 402.\nAnswer: -(k + 2)*(k + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 - -78. Let l = -64 - s. Let t be 2\/4*2*4. Solve -b + t*b + l = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*-65.\nAnswer: -162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29\/84 - 2\/21. Sort 2, -6\/5, d, 1 in ascending order.\nAnswer: -6\/5, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -143, -143, -107?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/132 and -17\/85440.\nAnswer: 939840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 5. What is the units digit of (-6)\/(-30) + 168\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 1 = -2*w + 9, -4*t = 5*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w - 16. Suppose 318 - 328 = -2*c + 3*n, 0 = -4*c + n + 30. Determine u(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8 + 35 + 22*l**2 + l**3 - l - 9*l + 1. What are the prime factors of s(-13)?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11780128.6*0.4\nAnswer: 4712051.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 36 = -q. Suppose 2*a - q = -4*l, 0 = -5*l + 5*a - 2*a + 34. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2\/(g*g\/g**4*g*g))\/(g**(-2\/7)\/g**(-3)))**38)**(-10\/3) assuming g is positive.\nAnswer: g**(1900\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -179*n - 1500. Let a be j(-16). Calculate the greatest common factor of a and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1549876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 10. What is k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60817122*j**3 - 1508*j**2 + 5*j + 91.\nAnswer: 364902732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1497*m**3\/8 + 2058*m**2 + 38955*m\/8 + 39\/4 = 0. Calculate m.\nAnswer: -2, -1\/499, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**3 + 68*a**2 + 287*a - 798. Give g(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -47, 2, -1151, 5, -1 in increasing order.\nAnswer: -1151, -47, -4, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 173, -3\/4, -2\/5, -5, -3, -2?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 8*g**2 - 131*g**3 - 2 + 261*g**3 + 0*g.\nAnswer: 130*g**3 - 8*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*t - 5*k + 433, 0 = 2*t - 4*k + 322. Sort -4, -2, t in descending order.\nAnswer: -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1)\/m)*m*m)**27*m\/(m\/m**(-2\/19)*m)*m*(m**3\/m)\/m*m*m assuming m is positive.\nAnswer: m**(2107\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 15 + w + 0 - 4*w as v*w + u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-2 - (-27)\/6). What is the nearest to 0.1 in l, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -7*d**6\/12 + 13*d**3\/3 + d**2 - 20*d - 12. Let r(c) be the second derivative of p(c). Differentiate r(o) wrt o.\nAnswer: -210*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48213, 48211, 48211, 48213?\n\"Answer: y**2 - 5*y + 48217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)\/((b*b*b**(-5))\/b)*((b*b**(-2)*b)\/b)\/(b**(-3)\/b) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y**4 + 6*y**4 - 15*y**4)*(5 - 8 - 21) + 2*y**4 + 3*y**4 - 3*y**4 in the form d*y**2 + w*y + z*y**3 + i*y**4 + o and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238617 or 238662?\nAnswer: 238617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 298 + 26*c**2.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*b + 17*b - 28*b)*(-b**2 - 2*b**4 + b**2).\nAnswer: -54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 11. Let g be d(8). Let c(u) = -5*u**3 + g*u**3 - 2*u**2 - u**2. Let n be c(-2). Solve 3 = r + n*z, 0 = r - 4*z + 5*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-10) + 8\/20. Suppose -b*o + 104 - 38 = 0. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15615204 to the nearest integer?\nAnswer: 3952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 781*t - 808*t + 513 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1811109 to the nearest 1000.\nAnswer: 1811000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) -1\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -163152 divided by -88\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.2, -5, 4, -1081, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3 - 7*s. Let l(r) = -3*r. Determine l(h(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*(sqrt(1408) + sqrt(1408)*-2))\/(sqrt(8) + sqrt(8) + 2*sqrt(32)))**2.\nAnswer: 3520\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**3 - j**3 - 16 + 3*j**3 + 9 wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271051 - 5?\nAnswer: -271056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.571 + -17.771. Let a = -17 + 11. Let l = a - -6.1. Put -4, x, l in descending order.\nAnswer: l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 2*n. Let y(i) = -1 - n*i + 1. Let r(d) = 1. Let x(t) = -t - 1. Let a(b) = r(b) + x(b). Give y(a(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 + 546*i**3 - 7*i**2 + i**4 - 544*i**3 + 40 to k*i**3 + j*i**4 + y*i**2 + r*i + h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 19 + 28 = -5*h, -h = -5*o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = 0, 0*p + 3*t + 36 = -p. Let l = 54 + p. Let g(n) = 3*n**2 - 2*n - 2. Let k(u) = -u**3 + 4*u**2 - 2*u - 3. What is l*g(v) - 2*k(v)?\nAnswer: 2*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/208 and 21\/76126.\nAnswer: 7917104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 38 = -3*t. Let c = -3 - 2. Does 3 divide 8\/20 - t\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215092670.\nAnswer: 2, 5, 13, 17, 97327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/10 + n**4\/4 + 103*n**3\/2 + 4*n + 39. What is the second derivative of v(h) wrt h?\nAnswer: -12*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554740657 is divided by 310.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5 - 3*g**4 - 57*g**3 + 147*g**2 - 90*g = 0.\nAnswer: -5, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from cctcwntfnnnccnnntnc?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585341?\nAnswer: 585341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-23)*(756\/(-63))\/6?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*s = -85*s + 18. Factor -1\/4*i - 1\/8*i**s - 1\/8.\nAnswer: -(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1503 - 1b2?\nAnswer: -16b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (402\/4)\/((39\/2)\/13). Suppose 8*w - 61 = x. Calculate the greatest common divisor of w and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykakyoyya. Give prob of picking 1 y, 1 k, and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12811165*x**3 - x**2 + 771837929*x?\nAnswer: 76866990*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2045.5?\nAnswer: 2048.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6 - 14*p + 6*p - 5.\nAnswer: -8*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2054308 + -2259738639\/1100. Let c = -99\/100 - j. Calculate the common denominator of c and -149\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-404664)\/108948)\/((-4)\/(-70))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920*t = 3924*t - 32. What is the lowest common multiple of 4 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 36*x = 23*x + 117 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + m + 56. Give u(0).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3033 and 36059.\nAnswer: 324531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**5*b*b*b**(-7)\/b*b)\/(b**(-1\/11)*b*b*b\/b**(-2\/3)*b) assuming b is positive.\nAnswer: b**(-448\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3084900 and 119028.\nAnswer: 336254100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g. Let a = 3\/4 + -5\/4. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - (-103 + -19) - 24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -99*v**2. Let j(m) = 50*m - 12. Let d(w) = 4*w - 1. Let n(a) = 12*d(a) - j(a). Give p(n(g)).\nAnswer: -396*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(98)*-3 + sqrt(98) - sqrt(98)) + sqrt(98) + (sqrt(98) + 4*sqrt(98))*-3 + sqrt(98) + sqrt(98) + sqrt(98) + -2)**2.\nAnswer: 784*sqrt(2) + 19224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10\/3 (b) 2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.1556ml in litres?\nAnswer: 0.8161556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1446 + 10149\/7. Is a less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108 + 741 = 98*z + 85 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 8*p**3 + 976*p**2 - 3080*p - 36300 = 0. Calculate p.\nAnswer: -15, -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let o = v + 5. Suppose o*m - m + 2000 = 0. What is m rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 2609848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13728*-8312.\nAnswer: 1141.07136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-886)\/6*66\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccpcccffppfffpff. What is prob of sequence pppc?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/6 (b) -0.2 (c) 16 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -24452\/13, -3, -4, 5.\nAnswer: -24452\/13, -4, -3, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/972 and 77\/216.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 1400.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5375149 + -20633.\nAnswer: 5354516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f71 - 1948?\nAnswer: -98b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.9682 + 1.0318. Which is the closest to -0.2? (a) 3\/34 (b) 1\/5 (c) -2\/15 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 935*q**6 - 4*q**4 - 15*q**3 - 363706*q**2.\nAnswer: 112200*q**3 - 96*q - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2*u**2 + 3*u**2 - 2*u. Let g be i(0). Find the second derivative of 3*t**3 + g*t + 2*t + 2*t wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {l: 14, r: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**10\/5040 - c**6\/60 + c**3\/3 - 2. Let q(x) be the third derivative of v(x). What is the third derivative of q(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-1*2*1. Let h(t) be the third derivative of t**4\/24 + 3*t**3 + 7*t**2. List the prime factors of h(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 35 = -4*k - 14, -3*p - 5*k = -56. Let i = 44 - p. What is the remainder when (-9)\/2*(-68)\/6 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.2 + 16.19999624. What is l rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 27 = -11. Let q = 65 - 60. Suppose t + 36 = -q*t. Is x <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**9\/1008 - p**5\/60 + p**3 - 5*p**2. Let g(o) be the first derivative of x(o). Find the second derivative of g(h) wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53, 125, 245, 413, 629, 893?\n\"Answer: 24*p**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -122. Let j = -63 - w. Let p(h) = h**3 + 6*h**2 + h + 3. List the prime factors of p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1308 + 1343. Suppose -3*j + f + 0*f + 32 = 0, -f = 4*j - 52. Suppose 4*t = k + 39, 0*t - 2*t = 2*k - j. Calculate the remainder when q is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3799, 3\/2, 1 in decreasing order.\nAnswer: 3799, 3\/2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 15735*s + 18882990.\nAnswer: -5*(s - 4074)*(s + 927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240748189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 329808.4 centuries?\nAnswer: 32980840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -16 - -15 - -28?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/61513508 and -77\/55618?\nAnswer: 61513508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.69\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02282 + 0.02282. What is the biggest value in s, 9\/5, -0.02?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376 + -1878\/5. What is the nearest to w in 2\/11, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 15 - 1)*(29*z + 22*z**3 - 29*z).\nAnswer: -418*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3002\/64 - (-46 - 1469\/(-32))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43455 (base 6) to base 11\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17922.12 + -5.478?\nAnswer: -17927.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38773877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46375138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*j + 7, 6*q - 64 = 352*j - 354*j. Let u = 2 + -2. Suppose u = -2*l + b + 63, 3*b = -3*l - b + 89. What is the remainder when l is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 158*k**2 - 1678*k + 586. Give h(-168).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9291086?\nAnswer: 2, 7, 113, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 997.\nAnswer: -4\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3*p)**(-9)*(p*p**2)\/(p**(-9)\/p) assuming p is positive.\nAnswer: p**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1b6a1b4?\nAnswer: 1b6a1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35156?\nAnswer: 2, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53 + 18\/24*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3440030576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 3*w - 4*w**2 + 2 - w**2. Let k be h(3). What is the derivative of -k*z - z + 0*z - 2 + 6*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 770 - 770.00441. Round o to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*v + 100 = 0, 42*r - 5*v + 26 = 39*r. Which is bigger: -78\/5 or r?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/l**(-1)))\/l*l*l)**29)**(-1\/4) assuming l is positive.\nAnswer: l**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*m = 8125, 18 = -4*m + 2. Let c = n + -2391. What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + q - 14 = 2*h, -2*q - 8 = 0. Suppose -o = 2*o - h. Differentiate -f**3 - 7*f**o + 9 - 8 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 4. Let j be (4\/(-5))\/(-2)*55. Let l be ((-10)\/6)\/((-15)\/18). Suppose -16 = 2*p + y + y, -4*p = l*y + j. Calculate n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 9. Let g = a - 16. What is the remainder when g is divided by 8 - 3*(-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -671*r**3 - 2008*r**2 + 15*r.\nAnswer: -r*(r + 3)*(671*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328, -1327, -1326, -1325, -1324, -1323?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:52 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) + -1)*2 - 2*sqrt(44)*2) + 2*(3 + sqrt(704)))**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h + 9*h + 2 - 31*h + 21*h.\nAnswer: 24*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -478 (b) -0.03 (c) -1\/3 (d) 0.1 (e) -70 (f) -0.3 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a - 3*h - 36, -1562*a - 3*h - 22 = -1557*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o + 1. Let u be h(-4). Suppose -u*p = -12*p + 217. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0. Let a = 1.08 - 0.08. Let k = -1.5 - -1.9. What is the second biggest value in a, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 2*f - 14, -3*f = -6. Find the common denominator of 89\/8 and (-1)\/q - 309\/70.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/15)*f)\/f)\/f)\/(f*(f**5*f)\/f))\/(((f**0\/f*f)\/f)\/(f*f*((f\/(f**10\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 - 15*x**2 - 17*x**3 - 2666*x + 2666*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 2*g**2 + 4*g**2 + g**3 + 2*g. Let q be j(-3). Let o = q + -7. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**2 + w**4 - 3\/2*w**3 + 0 + 0*w.\nAnswer: w**2*(w - 1)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 27 = 6*w - 3*w, -4*w + 41 = 3*j. Let b(k) = k**2 + 3*k + 1. Let f(v) = 7*v**2 + 12*v + 6. Let i(c) = -6*b(c) + f(c). Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 5 + 2)*(-2*a + 3 - 5 + 3)*(2*a**3 - 29*a**3 + 2*a**3) in the form q*a**2 + o*a**3 + t + w*a + g*a**4 and give g.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0)*(-3*m + 0*m + 4*m + (2 - 2 + 2 + (-10 - 2 - 2)*(-2 - 3 + 3))*(2 - 3*m - 2)).\nAnswer: -178*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from gtdwbnt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 76*b**2 + b. Let k(d) be the first derivative of -d**2\/2 - 18. Calculate k(s(o)).\nAnswer: -76*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -48. What is the tens digit of 280\/25 - (-12)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22825? (a) -1252 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 38470*f + 20*f**2 - 38470*f + 3 to the form p*f + t*f**2 + x*f**3 + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.649 - -171.149. Let y = m - 171. What is the closest to -1 in -3, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123333209+0.046773\nAnswer: -123333208.953227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 4*z**2 + 2*z**2)*(72 + 53 + 6)*(3*z - 2*z + z).\nAnswer: 262*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66814 is divided by 33378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d**2 + 3*d**2 + 3*d**2)*(-67 - d + 87 - 269) to the form g*d + y*d**2 + i*d**3 + c and give y.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*c - 141616, -18*r + 17*r + 35399 = 2*c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16724 (base 11) in base 13?\nAnswer: a909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 23 = -78. Suppose 20*i + 441 = v*i. Which is smaller: i or -48?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 16548*h + 33080 = 0. Calculate h.\nAnswer: 2, 4135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -1464, -5 in decreasing order.\nAnswer: 50, -5, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*w + 30 - 50, -3*g = -4*g + 2*w + 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(-9747)\/684.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/1)\/(102\/34).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -55, -140, -247, -370, -503?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 1815*a + 87514. Determine n(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1.0376?\nAnswer: 0.31128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373510723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -5823 (c) -2 (d) 26 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3488\/21 + (-6)\/63. Differentiate -77 + 2*v**2 - n*v - 2*v**3 + 166*v - 2*v**3 with respect to v.\nAnswer: -12*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 108*r**2 + 19260*r + 858675 = 0.\nAnswer: -535\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/15 - 2296516*t**2\/15 - 219750171264*t\/5 - 439497280512\/5 = 0. What is t?\nAnswer: -574128, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -44*q + 1279. Calculate j(27).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -206299651?\nAnswer: 206299651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/(10\/150). Let y(x) = x**3 - 10*x**2 + 6*x + 19. Let r be y(z). Put 0, 5, r in ascending order.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -0*s - 3*g + 10, -2*s - g + 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13321213021332 + 10?\nAnswer: -13321213021322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 * -9.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2749629 * -6.\nAnswer: -16497774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1\/48, -0.07 in decreasing order.\nAnswer: -1\/48, -0.07, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = -55*q + 31 - 280 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 634 - 4*y - 14*y - 634 - 7*y as h + r*y and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137108 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4190 and 5520744.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -23*m - 49 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**4\/12 + 3*w**2. Let n(v) be the third derivative of -19*v**5\/60 + 5*v**4\/24 - 4*v**2 - 51*v + 2. Give o(n(s)).\nAnswer: -38*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - m + 11 = 0, -4*m + 0*m = 20. Let z be 2*-2*2\/t. Is 18 a factor of (z\/5)\/((-2)\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + 1 + sqrt(8)\/(2*sqrt(400)))**2.\nAnswer: 40401\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 50, -2, 3, -42, -5 in decreasing order.\nAnswer: 50, 3, -2, -5, -12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107360.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/37)*h*h)\/h)\/(h\/(h**(2\/7)\/h)))\/((h*h**(-3\/5)*h)\/((h\/(h*h\/(h**(-25)*h*h)))\/h)) assuming h is positive.\nAnswer: h**(-33853\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4899671 is divided by 403.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i + 5330. Let g(q) = 5*q - 8. Give g(m) - 6*s(m).\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 divided by 509914?\nAnswer: -94\/254957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njvvhyhym. Give prob of sequence mh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 93213 + 64331 - 1864 = 0. What are the prime factors of f?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012 - 5211713.\nAnswer: -5211712.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77.3*-3.6088.\nAnswer: -278.96024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 451 - 415 = 0. Sort -5, 1, m, 4.\nAnswer: -5, 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 24. Let c(x) = x - 8. Let f(p) = 17*c(p) - 6*y(p). Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/60)\/((-14)\/(-1435)). Do p and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2329 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22687747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+38912177778902\nAnswer: 38912177778902.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqt when three letters picked without replacement from isiiftfiifiqiwiiffsi?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11584 divided by -32?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-6 - -18). Let b = t - -11. Suppose l = b*l. Solve l = u - 5 - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559771.\nAnswer: 967, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 13*t**2 - 12*t + 5. Determine u(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4796733 to the nearest integer?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + 64 + -60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 - 8*p + 53. Let y be o(4). Is y smaller than -98.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250 (base 13) to base 16.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -151?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29502 + 29502 + 1967*j**2 to n*j**2 + t*j + v and give n.\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-124) - 0) + 2810\/(-310)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**2 + 42204*l = 0.\nAnswer: 0, 10551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9688 or -9685?\nAnswer: -9688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Suppose 0 = -4*p + w + 14, 0*w = 2*p + 3*w. Let h(t) = 22 - 22 - p*t. Calculate y(h(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699051627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j**(2\/15)\/j*j))\/j*j))\/(j**7\/j)*((j\/(j*j**6))\/j*j)\/(j*j\/j**(1\/2)) assuming j is positive.\nAnswer: j**(-371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 3. Let p be f(-3). Let r(t) = 29*t - 12. What is the remainder when r(2) is divided by -8*(p\/2 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53*(-315)\/539 + 222\/8547.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108))\/sqrt(9))\/(1*sqrt(4)*1).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071885 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 3*b + 3*b. Let j(l) be the third derivative of 3*l**2 + 0*l + 1\/12*l**4 + 0*l**3 + 0. Determine j(c(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051 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 l = -12748 + 76489\/6. Let m = -82784 + 9520101\/115. Let p = m + -2\/23. What is the closest to -2 in l, -2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1112900 and 1259372.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 259084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, 0.1, 40424?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and -17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 627977611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(360)\/(sqrt(96)\/(-4*sqrt(12))))\/(sqrt(144) + -4*(sqrt(144) - (sqrt(144)*3 - sqrt(144))) - sqrt(144)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5a26c1 (base 14) to base 11\nAnswer: 1814153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 5*n + 8. Let l be v(6). Suppose 0 = -4*d + x + 40084, -d - l*d + 4*x + 30076 = 0. Suppose 6*s = -1854 + d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*j + 16, -j = 3*j - 4. Calculate the lowest common multiple of z and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u + 1. Let r(o) = -o**2 - 9 + 27 - 17. Determine -r(n) + t(n).\nAnswer: n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*i + 3*h - 18131 + 18180, -28*h + 25*h = 4*i - 6*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*p + 5*v, -p + 4*v + 17 = 9. Suppose 0 = 2*n + 5*f + 9, 3 = 5*n + p*f - 0*f. Solve -n*k = 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = a + 13, -4*a - 4*d - 12 - 8 = 0. Let w be (-2)\/a + 300\/(-21). Let h be (21\/w)\/(6\/(-16)). What is the greatest common factor of 44 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 9. Let l = 101 + -96. Let x(b) = -b + 4. What is l*x(s) + 2*h(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.4 - 38. Which is the third biggest value? (a) -2 (b) 0.3 (c) 9 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/111*6\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2739)\/83)\/(14\/14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 614 - -4?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53 - -82.47. Let b = c - 88. Let s = -0.2 + 0.4. What is the second biggest value in 6, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)\/g**5*g*g\/(g*g**(-2))*g*g*g**(-3)*g*(g**(-2\/15)*g**(-9)*g)**(-32\/7) assuming g is positive.\nAnswer: g**(29447\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14106539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1149038*d. Let q(g) = -2*g**2. Determine o(q(l)).\nAnswer: -2298076*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 696*s**4 + 2 - s**3 - 618*s**4 + 51*s - 41*s + 2*s**3 as w + y*s**4 + a*s + q*s**3 + n*s**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -18*v + 30. Let z be t(0). Solve -5*h - z + 5 = 5*y, -2*y + 5*h - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s - 381*s - 16 - 2 = -3*z + 2*z, 0 = -s + 4*z - 9 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 2)*(-3 + 7 + 2)*(5 - 5 - 2*n)*(20 - 20 - 10*n) to the form a*n**2 + t*n + s and give a.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 5. Let b be j(-5). Suppose -6*g + b = -g. Suppose 0 = -13*r - 2 + 41. Solve -3*h = -4*v, -v = -g*v + 3*h - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(((76\/32)\/(-19))\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {z: 1, f: 11, c: 2, y: 4, m: 1, r: 1}.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -1151, -3677, -8493, -16361, -28043, -44301?\nAnswer: -65897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -5\/2, -85871 in descending order.\nAnswer: -0.05, -5\/2, -85871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*x - 2*x + 58 = 0, 0 = -3*b + 4*x - 46. Let g be 574\/10 - 6\/b. Let r = g + -10. What is the highest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23336864 and 16768.\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 25. Let z be m(8). Solve -x - x = -2*c - 2, -2*c = -5*x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6690956736218 minus 0.2?\nAnswer: -1.8690956736218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1535 - 681 = -14*w. Which is the closest to w? (a) 1\/12 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a = -72*a - 1708. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -200*s**2\/3 - 174724*s\/3 + 66424\/3 = 0. Calculate s.\nAnswer: -874, 19\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -10*u - 3 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -988, -3072, -7152, -13906, -24012?\nAnswer: -38148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.85189 centuries to years.\nAnswer: 8485.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + m = 4*q - 13, -2*m - 21 = -5*q. Suppose 21 = -h - 3*h - q*u, 5 = -u. What is the remainder when 32 is divided by h + 20\/(-15)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14334, -30123, -45912, -61701, -77490, -93279?\nAnswer: -109068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - a - a)*(0*a**3 + 0*a**3 + 2*a**3) + (-a**4 + 3*a - 3*a)*(1 + 0 - 3) - 4*a**4 + 2*a**4 + a**4.\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1890)\/(-4032))\/(294\/20) and -65\/4312.\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6413261\nAnswer: -3\/6413261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1670\/30697 or 0.005?\nAnswer: -1670\/30697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from salsasxsprsaa. What is prob of picking 4 a?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3*2\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -2*sqrt(637) + (-5 + (sqrt(468) + 0 - sqrt(468) - sqrt(468)) - (sqrt(468) + 0 + 1 - sqrt(468)))**2)*-6.\nAnswer: -2970 - 348*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -385974157.\nAnswer: -385974156.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 270*q**3 + 6212*q**2 - 275*q - 7375. What is o(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43428 and 87228757?\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/69? (a) 2 (b) 1 (c) 1\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 - 24*w + 29. Let o(k) = 7*k**2 - 25*k + 28. Let d(i) = 3*n(i) - 2*o(i). Is d(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, 11, 40426 in descending order.\nAnswer: 40426, 205, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95849*j**3*t**3 + 3674*j**3*t + j**3 + 2*j**2*t + 4839*j*t**3 - 304*j wrt t.\nAnswer: 575094*j**3*t + 29034*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4. Let h = -4.455 - -0.455. Which is the nearest to 1? (a) n (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -27 + 18 - 15) + 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 76. Let d be ((-16)\/u)\/(30\/(-75)). Suppose 2*i - d = 98. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 2684 = 48*b + 24*b. What is the remainder when 761 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 566685581 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -6571\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 32*u**2 + 20*u - 105. Let r be a(35). What is r rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 37 + 9*i - 34)*(-i + 0*i + 2*i) to the form d*i + z*i**2 + v and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 424 + -708. Let n = w + 484. Let v = -74 + n. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1952 + 2604. List the prime factors of v.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 8. Let b be d(5). Let v be (-2)\/((-12)\/b - -1). What is the nearest to -1 in 5, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:22 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 15. Solve -4*d = -0*t - 4*t + 16, y*d + 2 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636886.1 hours to nanoseconds.\nAnswer: 2292789960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 384321?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147*3.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ec67 (base 16) to base 5.\nAnswer: -40311123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -17*o + 38*f - 37*f, -o - 3*f = 4*o + 147 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445960 = -11148*p - 245216 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 860, 1290, 1720, 2150, 2580?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(16370 - 3*l**2 + 3*l + 16374 - 32748).\nAnswer: -6*l**2 + 6*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 2.3. Suppose -u + 2*s + 2 = 4*s, 5*u - s = 10. Which is the nearest to f? (a) 0.2 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -115*y + 443 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 1, e: 4, c: 3, o: 1}. Give prob of sequence cod.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyv when three letters picked without replacement from qvydsyvi.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7575.367 - -7529. What is p rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1835 = 5*k - 3*y, -2*k + 720 = -9*y + 5*y. Let m = -433 + k. Which is bigger: -191\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = -c. Let i(v) be the first derivative of -1\/5*v**2 + 0*v + 3 + 0*v**3 + 1\/10*v**c. Determine s so that i(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5372463 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {z: 1, x: 2, s: 4, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-20)\/(-10))\/(17 - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11809 - 293951139\nAnswer: -293962948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + (37 - 60))*(-104)\/106 + 2\/1?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67 times 0.54?\nAnswer: -0.9018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2. Let t(p) be the first derivative of p**5\/60 + p**3\/3 + 3. Let z(f) be the third derivative of t(f). What is z(m(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7055 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 8*l**2 - 13*l - 10. Let a be y(-9). Suppose 2*g + 0*g - f - a = 0, -g = 2*f - 18. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*15 + (0 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:49 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -82*7\/(-3) + (-14)\/(-21). List the prime factors of 1812\/16 + (-8)\/(s\/(-18)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.2 - -4?\nAnswer: -292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5, 3*y + 3*m + 5 = -4. Suppose 4*d - g + 445 = 2*g, 4*g - 210 = y*d. Let n = 181 + d. What is the greatest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(0 + 6 - 4) + 0 - 8 - 1)*(-74 - 9*r**3 + 74) to the form i*r**3 + o*r**2 + d + x*r and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15825 and 92412725?\nAnswer: 5275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose -d + 0 = -i. What is the tens digit of d\/((-93)\/(-84) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2\/45*183393\/994.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6470433.\nAnswer: 3, 718937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31*u + 18. Let l be m(-21). Suppose -c - l = -4*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -52, -3, -97, -2 in descending order.\nAnswer: 2, -2, -3, -52, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 11. Let f = 17 + d. What is the greatest common divisor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112000 (base 3) to base 10\nAnswer: -1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/60)\/((-2)\/9*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*p**3 + 48 - 28 - 20.\nAnswer: 77*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -95.9.\nAnswer: 9.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -472927 and -12274.1?\nAnswer: 460652.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/5 - 156\/5*u - 12\/5*u**3 - 16*u**2.\nAnswer: -4*(u + 3)**2*(3*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 1. Let l = -6.081 + 6.3. Let h = l + -13.219. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1368 - 294. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)*f*f**(-5\/3)*f*(f*f*f**(-2\/79))\/(f\/(f**(-8)*f)))**(-35) assuming f is positive.\nAnswer: f**(155050\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353 by 6.\nAnswer: 353\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaeaaaaaaaeaaaaaa. Give prob of sequence ea.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 + 3*p**2 + 5*p - 2. Let m(s) = -s**3 - s**2 - s + 1. Let g(n) = -b(n) + 5*m(n). Calculate g(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-559)\/26)\/((-1)\/2). What is the third smallest value in 0, 4, f, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850415857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - t**2 + 2*t**2 to l*t**2 + k + p*t and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 65*i - 3, -7130*h = -7142*h + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) + 62\/22. Suppose 0*v + 9 = r*v. Find the first derivative of z**3 + 1 - 2*z**v + 2 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 24*l + 1839 = 0. Let z = -4311\/7 - l. Find the common denominator of z and 69\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -37. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5) - -1)\/((338\/(-507))\/((-10)\/(-6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008972879 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -39414 not equal to -39253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 10*n**2 - 20*n - 4. Let q be k(-4). Calculate the greatest common divisor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2*m**(1\/6)*(m*m**0)**(-27))**17)**(-10\/13) assuming m is positive.\nAnswer: m**(12665\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -534\/7 - -76. Let k = -3.012 + 0.012. What is the smallest value in -4\/3, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = 0. Let w(b) = b + 10. Calculate the smallest common multiple of w(j) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 90*w - 9667. Determine g(110).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q - 7. Let f(o) = -27*o - 27. Let m(v) = 4*f(v) - 15*n(v). Let y be m(-2). Factor -1\/4 - 3\/2*h**2 - h**y - h - 1\/4*h**4.\nAnswer: -(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j - 2. Let c(h) = -6 + 3*h**2 + 6 - h**j. Let s(g) = -2*g. What is s(c(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 3*i**2 + 2*i**2)*(135 - 135 - 69*i) - i**3 + 0*i**3 - i**3 + (-2*i + 2*i - 3*i**2)*(-4*i + i + i).\nAnswer: -272*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(342) + sqrt(342))\/sqrt(2) + sqrt(38)\/(1*sqrt(2)*-4))*-1.\nAnswer: -23*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058581 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 451*p + 1653. Let c be i(-3). Solve 45*w = -15*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/7052914 and -43\/470?\nAnswer: 35264570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6)*(-156)\/(-13). Let n be -6*(k - (-26)\/(-6)). What is the remainder when 87 is divided by 22*(0 + n)*(-3)\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 58. Suppose k*p + 12892 = 4*q, 5*p = 4*q - 8758 - 4137. Round q to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 2:28 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 48 = 11 - 38 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 - 2*l + 3. Let w be m(4). Let b = w - -11. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 4*a**2 + 34 - 73 + 0*a**2 - 115 as h*a + f*a**2 + w and give w.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -56*f**3 + 8*f**2 + 19*f**3 + 14*f**3 - 15*f + 22*f**3 + 22. Let g be i(6). Solve -3*n - 5 = 2*u, -g*u + n = -0*n + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/420 - 373*d**4\/168 + 2*d**2 + 16*d. Determine p, given that c(p) = 0.\nAnswer: 0, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13293 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8026.826194 to zero decimal places.\nAnswer: -8027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08986355 - 36.08988755. Let c = i - -36. Round c to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 2*l**2 - 3*l**2 + 4*l**2 - l**2 - 6*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p + 13. Let r(x) = 51*x - 95. Let w(m) = -4*r(m) - 30*v(m). What is w(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 h when four letters picked without replacement from {h: 7, m: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(5\/17)\/(b**5*(b**(3\/2)*b)\/b) assuming b is positive.\nAnswer: b**(-108\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33756, 67511, 101264, 135015, 168764, 202511?\nAnswer: 236256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, w: 2, r: 1, u: 1, d: 1}. Give prob of sequence dr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*y + 18, -3*y + 86 = 95 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 183 = -4*h - 3*a, 4*a + 232 = 4*h. Calculate the highest common divisor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 2*l**2 + l**2 + (2*l**2 - 6*l**2 + 3*l**2)*(-5 + 3 + 3) in the form f*l**2 + o*l + v and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 20*n - 3080. Let b = n - 110. What is the remainder when b is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -5*h - v, 0*v = -4*h + v + 530. List the prime factors of h.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00117725 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (-1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509 - -2556\/5. Let h = a - 39\/20. Let o = -1\/4 - h. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 24429.\nAnswer: -24432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 6*g - 6. Determine o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7728 and 36156.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 2*m. Factor -107 - m*o + 8*o**2 + 107 + o - 4*o**3.\nAnswer: -4*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0. Let h = 0 + w. Let y = h + 0.6. Sort 0.2, y, 0.\nAnswer: 0, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.401 times 0.57?\nAnswer: 1.93857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j - 15, -3*s = 5*j - 24. Suppose -s*y = -4*i - 1 + 6, -5 = 3*i - 4*y. Solve 3*p = i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 2*f**3 - 6*f**3 + (-1 - f + 1)*(18419*f - 18419*f - 246*f**2) as g*f + s*f**2 + h*f**3 + c and give h.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11828 = 5*v + 5*r + 11858, 0 = 5*v + 4*r + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 56*m + 13. Give z(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 3*s**3\/2 + s**2\/2 - 6*s. Let o be r(3). Let z = 53 - o. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3362389 days?\nAnswer: 29051040.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) 0.2 (d) 1\/48681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983408?\nAnswer: 2, 61463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -70*l + 1189. What is the remainder when v(11) is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29615\/6 - -4922. Calculate the common denominator of v and ((-18)\/(-105))\/((-20)\/125).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*98\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.038969*-0.4\nAnswer: -0.0155876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - t + 2. Let y(h) = h**3 - 3*h**2 + 3. Let s be 3\/(2 - (-4)\/(-4)). Determine s*n(r) - 2*y(r).\nAnswer: -2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 141*u**2 - 25200*u + 3577500.\nAnswer: (u - 150)**2*(u + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 0.03502 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1665 - -1677. Let c(j) = 24 - j + 0*j + 0*j. Is c(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -3 - ((-15)\/(-3) + -3). Suppose 3*z - 3 = -l, -2*j - 5*z = -19. Solve 5*t + 13 = -j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 + -701\/4. Let a be ((-4)\/40)\/((-5)\/(125\/10)). Sort 0, -1, k, a.\nAnswer: k, -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-7 - 1 - (7 + -7 + -10 - -9))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.32.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/4 - p**3\/3 - p**2 + 4*p - 24. Let s be d(2). Let g be ((-2)\/(-3))\/((-4)\/(-12)). Solve -g*n = -s - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604901365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.287187, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - 6) + (-204)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 4*d**2 - d**2)*(d + 0*d - 2*d) + 2*d**3 - 2*d**3 - d**3 + 20*d**3 - 161*d**2 + 161*d**2.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -74*t + 49*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/3)\/(-1 - 1). Suppose -125 + j = -5*g. Let o be (-1800)\/(-300) + 1 + -7. Solve -g = -o*t - 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*m + 75 = 106, 0 = -5*i - 4*m - 28 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 4*p + 8, -5*p = -7*y + 2*y + 40 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (45 + -42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**4 - 84*j**4 - 8*j**4 + 2*j**2 - 2*j**2 - j**4 + (2*j**3 - j**3 + j**3)*(-j + 0 + 0) in the form y*j**2 + t*j**4 + z + h*j**3 + u*j and give t.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236302253?\nAnswer: 11, 23, 934001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/72 - 1\/(-3). Let l(d) = -d**3. Let n(p) = 6*p**3 - 2*p**2 - p. Suppose -25 = 4*q + q. Give o*n(b) + q*l(b).\nAnswer: -b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8213281 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + j**3 - 3*j**3 - 5*j**3.\nAnswer: -7*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 2*t + (-3*t + 5*t - 4*t)*(2 + 1 - 1) - 3*t + 0 + 0)*(2325 - 2325 + 12*t) + 2*t**2 - t - 3*t**2 + 2*t**2.\nAnswer: -59*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 6*t**2 - 3*t**2 + 5*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -1128, 0?\nAnswer: -1128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2268, 4533, 6808, 9099, 11412?\n\"Answer: u**3 - u**2 + 2261*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 4*s - 8*s)*(-5*s - 3*s - 5*s)*(-3*s + 2*s + 0*s) to the form o*s**2 + n*s**3 + t*s + j and give n.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 3\/5 - 8\/5*j = 0 for j.\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -785 + 799. What is the greatest common divisor of 182 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 16*y - 10 = -11*y, -2*y = -4*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9733, 9731, 9727, 9721, 9713?\n\"Answer: -p**2 + p + 9733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181740\/89 + 2042. Let l = -2472 + 2473. Is v at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92711.72 millennia in centuries?\nAnswer: 927117.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in 4, -2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 - 322*h**2 + 10060*h + 10384 = 0. Calculate h.\nAnswer: -1, 44, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**(-1\/3)))**(-32)\/((y*y*y*y\/(y*y\/y**(-1\/4)*y))\/(y\/((y**6\/y)\/y))))**19 assuming y is positive.\nAnswer: y**(8873\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4422, 8954, 13488, 18024, 22562?\nAnswer: 27102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l. Let h(m) = -10666*m. Calculate i(h(j)).\nAnswer: -95994*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -363\/2 + 2175\/4*p + 3\/4*p**4 - 2169\/4*p**2 + 717\/4*p**3 = 0.\nAnswer: -242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -160 (b) 0.2 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -32\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/6 + 0 + 22\/(-33). Let j = 15 - 28. Let t = j + 13. Solve s = -t*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11062576 (base 8) to base 12\nAnswer: 970452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(1539)*-1 + sqrt(1539)) - sqrt(1539))**2*-1 - ((sqrt(1539) - (-4 + (2*sqrt(1539))**2))*5 + -2).\nAnswer: -45*sqrt(19) + 21528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from vvvvvtvvvvtuvu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96057\/(-33)*-6 + (-212)\/(-2332)?\nAnswer: 5, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 193 = 25. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5883838005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 - 0.302. Let t = 0.528 - s. What is the fourth biggest value in -5, 17, 1\/11, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 55*a**3. Let c(i) = -i + 5. Let s be c(6). Let v = 0 - s. Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1639 divided by 2569.\nAnswer: -1639\/2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766012339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183 + 198 - (15 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59809 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 111 = -k, -3*k + 66 - 417 = -3*u. Let g = 830\/7 + k. Which is the nearest to 1\/2? (a) g (b) -1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11030212 (base 4) to base 5\nAnswer: -1140121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 4, 5 in ascending order.\nAnswer: 0.4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.2 (c) 1\/6 (d) -3\/7 (e) -16\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Let g = -10 - -6. Let y = g + n. Is y < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and 35\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17775 - -2415?\nAnswer: 22412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4 + 6*u - 2*u**2 - 3*u**2 - u. Let w be p(-6). Solve 3 + 1 = w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (0 + 3) - (10 + (-69759)\/7682). Is 0 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*k**3 - 592*k**3 + 958*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1949.353 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {t: 5, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s - 13 = j, -2*s - j - 1 = 0. Let z = 12 - 13. Let b = -7 - -5. What is the nearest to z in b, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 28. Suppose -b = 2, -5*h - 4*b - 20 + 7 = 0. Let n be h\/4 + 3\/4. What is the third smallest value in 1\/11, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6273.121 years?\nAnswer: 6.273121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 45*h + 23. Give g(28).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17 - 46*d - 11*d - 23*d + 17 + 81*d. What is n(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89216933 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14222 (base 5) to base 16\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-4))\/(30*(-52)\/3640).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r**2 + 4*r**2)*(-2764 + 43065 + 14254 - 2441 - 172).\nAnswer: -51942*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 494.83 and 0.07?\nAnswer: 494.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*i = -3, -5*z - 3*i + 12 + 3 = 0. Find the second derivative of -z*l**5 + 73 + 4*l - 73 wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**2 + 58*o + 1. Calculate k(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54295 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110011110110011101010 (base 2) to base 14.\nAnswer: -10bddc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2 (c) 0 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8676, 17342, 25994, 34632, 43256, 51866, 60462?\n\"Answer: -7*y**2 + 8687*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175761778.2 rounded to the nearest 10000?\nAnswer: 175760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 36614 - 133931. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-150)\/(-32) + -5). Let p = -1 + 3. Let m be (3\/(-6))\/((-1)\/p). Is z < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011222021210 + 121?\nAnswer: 12011222022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15286 - -20811. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*(1 + -2). Let p = -18 + 28. Suppose 3*i = i - p. What is the second biggest value in 5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3904 - -3903.99996102. What is q rounded to 6 decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 15\/9 + 3. Let a(b) be the first derivative of 0*b**4 - 2*b**2 + 0*b**5 + g*b**6 + 2 + 0*b + 0*b**3. What is the second derivative of a(r) wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**5 + 1457405*d**3 - 1538793*d**2?\nAnswer: -240*d**2 + 8744430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-8)\/(-108)). Let c be 14\/d + (-2)\/(-9). Suppose 0 = 2*g - 1 - 7. Put -3, c, g in increasing order.\nAnswer: -3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 349*a + 346*a + 710, -1707 = -5*n + a. Put 2, n, -1 in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3558 or -3519?\nAnswer: -3558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*o + 2*o - 6 = 0, -2*k - 2*o = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -442, -1117, -2246, -3829?\n\"Answer: -227*g**2 + 6*g - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5743375 and 68\/605.\nAnswer: 63177125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Let m(i) be the second derivative of 0 + 1\/20*i**5 + 0*i**2 + 1\/6*i**3 - 3*i + 0*i**d. Find the second derivative of m(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 9. Let b be m(7). Let v(o) = -3*o - 1. Calculate v(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 5. Suppose 31 = 3*o + t + 3, -4*o - p*t + 32 = 0. Solve 0 = -2*r - 2*a - 0 - o, -5*r + a - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - d + 14. Let q(r) = -r**2 + r + 1. Let m(w) = -o(w) + 4*q(w). Let k be m(-7). Solve -14 - 2 = -k*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035 = 258*k + 696 + 6299 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 - 129. Let u = q - 20. Solve -4 = u*x + 12, -n + 3*x + 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9928.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 + -0.3?\nAnswer: 2696.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(11\/(-627)). Let y = z - 19. Suppose b + 3*g + 3 = y, 5*g - 2*g = -3*b + 21. Solve -u + 5*u + b = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54939\/17 + -3231. Put 5\/2, -11\/4, 0.2, y in ascending order.\nAnswer: -11\/4, 0.2, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 22 = -4*u, -2*u = -6*u - 4*h + 8. Is 10 a factor of ((-5)\/(-2) - -3)*u - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 28 - 52. What is the derivative of -26 - 3*g**2 + 38*g**2 - b + 40*g**2 wrt g?\nAnswer: 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = -3*t + 43. Let h = t - 384. Solve f + 6 - 9 = h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 4013412*g - 16053712.\nAnswer: 4*(g - 1003357)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 41505 divided by -3\nAnswer: -13835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4*f + f)*(3 - 3 + 1)*((f - 3*f + 0*f)*(1 - 1 - 2) + 0*f + 5*f - 4*f - 1 + f + 1) in the form t*f**2 + d*f + h and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(-6)*t)**(-20\/11) assuming t is positive.\nAnswer: t**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (41 - (40 + -40))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 83, 171, 247, 299, 315, 283, 191?\n\"Answer: -2*o**3 + 12*o**2 + 66*o - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.89 + 2.89. Let t = -52869\/4316 - 1\/2158. Let w = 12 + t. Sort b, -2, w in decreasing order.\nAnswer: b, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*j**5 + 45*j**5 - 104*j + 328*j wrt j?\nAnswer: 4420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 - 1.51. Let o = 1.75 + n. Sort 4, 2, -3\/8, o.\nAnswer: -3\/8, o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 + 4*u - 2. Let k be i(9). Suppose 3 = 2*x - k. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwvzqvzqzpvq. Give prob of sequence vpq.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. Let l be p(-5). Suppose l = c - 0*c. Suppose -4*k + 100 = -c*k. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 108, 116, 126?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-320))\/(6\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-9))\/((-4)\/6). Suppose -2*s - g*x = -0*s + 7, 4*x + 8 = -s. Solve -6 = -s*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-14)*(-163)\/((-800982)\/648)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016666 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -295. Round r to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -46367*x - 46356*x + 92730*x - 9*x**2 - 24 - x**3. Determine m(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.6607 meters in micrometers?\nAnswer: 607660700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 10 - 7)*(-1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(418\/(-2530))\/(-19).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3028, 3020, 3004, 2980?\nAnswer: 2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 8, -3\/7, -0.3, -2\/61, 12, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**2*v**2 + 715*l**2 + 17*l*v**3 + 3*l*v + 3*l wrt v.\nAnswer: -6*l**2*v + 51*l*v**2 + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14016936 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13142.\nAnswer: 2, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -495, -494, -493, -492, -491, -490?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288 - -292. Suppose 3*c - 2*j - 3*j = 154, -p*j = 2*c - 88. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368927559.34 minus 0.3?\nAnswer: -1368927559.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87c + 2?\nAnswer: -87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186588417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22210000 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705443272, 705443269, 705443266, 705443263, 705443260?\nAnswer: 705443257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1247*(-7 - (-1 - 5)). Let i = l + 1769. List the prime factors of i.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665*s + 704*s = 24687. What is the remainder when 1910 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v + 2. Let i be m(5). Find the third derivative of 2*s**3 + 8*s**3 - i*s**3 - 4*s**2 wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 0.33\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -100*z**3 + 6*z**2 + 38*z + 50. What is a(-2)?\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 1, 3.\nAnswer: 1, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-147)\/35)\/((-1)\/5). Let v(f) = -f**2 + 5*f + 4. Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*q**5*t - 40*q**3*t**2 + 12*q*t + 82*t**2 wrt q?\nAnswer: 680*q**3*t - 240*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let p(h) = -h**3 + 14*h**2 - 13*h + 7. Let n be p(13). Let o(q) = 2*q + q - n*q. What is 5*f(i) - o(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1 + 0*m - 4*m**2 + m**3 + 6*m + 4*m - 6*m. Let z be d(3). Let l(n) = -n - 1. Let r be l(-3). Solve -r*t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-15) + -1 + (-3348)\/(-20) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 11994 = -2*v, -4*s = -v + 4890 + 19113. What is s rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42679057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*n, -i - 7*n + 5*n - 3 = 0. Let c = 1 + 2. Suppose -i*v + 341 = -2*p, 5*p - 3*p - 349 = -c*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221000 (base 3) to base 11\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 0.09987 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32172150 by 10724050.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1 - 6\/(-21). Does y = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 489 - 190. Suppose n - 59 = -g, -5*g - 5*n + j = -4*n. Is 15 a factor of (6\/(-4))\/((-3)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) -1\/3 (d) 0.2 (e) -6.9 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20014\/183 + -328\/3. Let j = 173\/305 + i. Which is the third biggest value? (a) 2\/9 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17928937 divided by -23?\nAnswer: 779519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 10282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-361 - -1)\/(-9 - (130\/(-150) - 8)). Which is smaller: c or 2699?\nAnswer: 2699","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 92*u**2 + u - 2. What is the units digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.63 - 0.06. Let q = 0.238 - v. What is q rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1506 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 11.6. Which is smaller: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -369, -8, 3, -4, -5.\nAnswer: -369, -8, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 5. Let h(s) = s + 4. Let f = 7350 + -7353. What is f*i(v) + 2*h(v)?\nAnswer: -4*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 2 - (17 - 3 - 20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*m**2 + 135*m*r - 18*r - 11 wrt m?\nAnswer: 44*m + 135*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 - 232*g**4 - 7762*g**3 - 58580*g**2 - 52152*g + 404496 = 0.\nAnswer: -53, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 12*m - 624. Suppose m*w - 56 = 308*w. Solve -w*y + 18*y = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -13) + (-4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(4*z + 0*z - 6*z + (z + 4*z + z)*(2 + 1 + 2)).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8713044 (base 10) in base 9?\nAnswer: 17350040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79945, 115389, 150833, 186277, 221721, 257165?\nAnswer: 292609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 26*z**2 - 612*z - 7. Calculate g(11).\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13856 is divided by 244?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Suppose -9 = -u - h. Suppose 4*g = -a - 277 - 1886, u*g + 2706 = -2*a. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2*(-24)\/64*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 5.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135.6 + 136.1. Sort i, -5, 1, -36 in increasing order.\nAnswer: -36, -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134 + -4?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4 - 19. Let v = k - 8. Suppose 5 + 7 = -4*a - 5*j, 4*a - 3*j = 20. What is the closest to a in v, 1\/11, -3\/8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/248105 and -16\/22555?\nAnswer: 248105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6 + 10. Let n = 5 - 1. Which is the third biggest value? (a) n (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 + 2*b + 1. Let j be n(-3). Let t be (4 + j + -4)\/2. Solve 5*k + 15 = -5*o, -t = o + k + k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 - -7. What is the nearest to -1\/2 in t, 5, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14318938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051678 rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 206*s + 5. Let r be y(2). Let i be 72\/(-27)*r\/(-4). Suppose 10*j - i = 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*t - 122916 - 122179 = -12333*t - 29046 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 14. Let h(v) = -v**3 - 3*v**2 - 4. Let s be h(-3). Let t = s - a. Solve l = t*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:10 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2748*g = 123396 - 16224 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24\/545 - 49787\/4360. Suppose 474 = -2*m - 266. Let f = m - -2607\/7. Find the common denominator of f and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + 2045. Suppose -n = 544 - i. What is n rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 8, u: 2}. What is prob of sequence hmuh?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -323441032 (base 6) to base 16\nAnswer: -581f6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0689656773 rounded to 6 dps?\nAnswer: 0.068966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/6608 and 29\/149079.\nAnswer: 140730576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b - 5 = 3*r, 2*r + 3*b + 10 = 0. Let t be (-3)\/((-4)\/(-8) + -2)*r. Let f = 7 - -2. Solve -t*q + f = 3*n, 4*n - 5 = 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 119 + -16 + -51.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 0.5 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3 + 6. Put 5, -5\/3, j in increasing order.\nAnswer: -5\/3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) -2\/5 (c) -2\/9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -270, -12, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, t: 13}. Give prob of picking 2 t.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198969, -795840, -1790609, -3183276, -4973841, -7162304, -9748665?\nAnswer: -12732924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -33. Let u be (-6)\/50*(-20 - o). Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/27)*u**11*u)\/(((u*u**(-7)*u)\/u)\/(u\/(u**10\/u))) assuming u is positive.\nAnswer: u**(295\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.01 + 0.01. Let n = 229\/390 - -1\/78. Let z = -5.139 + 5.209. Put n, y, z, -2\/3 in decreasing order.\nAnswer: n, z, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 7*c**6\/120 + 3*c**5\/10 - c**4\/2 - 5*c**3\/6 - 11*c. Let a(p) be the second derivative of g(p). Factor a(z).\nAnswer: 3*(z + 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12570*i + 163325. Determine k(13).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 2, u: 1, z: 2, d: 6, e: 3}. What is prob of sequence zdr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e04 - -212?\nAnswer: -16bf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1601 + 2537. Is 80 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22050\/(-180)*(-140)\/(-175).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(27)*-3 - sqrt(3)) + sqrt(3))*-6 + 3*(sqrt(3) + -2*sqrt(3))**2*-3 + 5.\nAnswer: -22 + 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + 3\/9. Let g = z + 2. Suppose 5*c - 2*k = 0, -2*c = -g*c + k. Sort 6, c, -3.\nAnswer: -3, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6341984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6077780 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -38, -62, -126, -248, -446, -738, -1142?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/40 - b**4\/8 + b**3\/6 + 39*b - 1. Determine i so that y(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27060)\/2640)\/((-5)\/20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52575 - -7?\nAnswer: -52566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -13*p - 76. Suppose -3*d = 2*h - 5*h + 6, -5*d = 5*h + 50. Let y be i(d). Determine z so that -2\/3*z + 1\/3*z**y + 1\/3*z**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 21615?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90354.51 kilometers in meters?\nAnswer: 90354510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Let o be -1 - (-3 + y) - 35. Let z = -21 - o. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 4)*(588*j + 1082 - 1082) as f*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*b - b + t, 2*t - 4 = -b. Let l(i) = i**2 + 0*i**b - i**3 - 2 + i + 4. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2602 = -4*r + 2*g, -3*g + 8*g + 1321 = 2*r. Suppose 3*o - 9*o - r = 0. Which is greater: -109 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + 3.6. Let l = 76 + -59. Suppose 3*m - l = -4*t, -2*t + 8 + 1 = m. Which is the closest to 0.1? (a) w (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 - 5*g**4 + 4*g**4)*(2 - 2 + 2) - 5*g - 2*g**4 + 5*g - 2*g**4 + g**4 - 3*g**4 + (-4*g**3 - g**3 - 3*g**3)*(g - 3*g + 4*g).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + 9*u + 14*u + 6*u to the form v + y*u and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -330158 divided by 3\nAnswer: -330158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4 + 2957*u**3 - 1484*u**2 - 7397*u - 2958 = 0.\nAnswer: -1479, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-12))\/((-31)\/2325))\/(-5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14725099*o**3 - 47*o**2 + 56657*o + 2.\nAnswer: -88350594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*g + 2*n, -3*g + 3*n - 4 + 1 = 0. Let f be (-2)\/g*18\/(-28). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**6\/120 - h**5\/12 + 7*h**4\/24 - 17*h**2 - 38. Let p(o) be the second derivative of f(o). Calculate p(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-33 + (18 - -13) - (5 - 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 28\/6)*-9. Solve v*i = 5*d + i, -8 = -2*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387 (base 15) to base 12\nAnswer: 56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011212120 + -1012?\nAnswer: 11011211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3.3 (c) -4 (d) 0.04 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h. Suppose -5*c - 5*q = -20, 0 = 4*c - q + 3 - 14. Suppose -u + c*u = 0. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*x**2 + 86*x**2 - 36*x**2.\nAnswer: 143*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -182, -358, -534, -710, -886, -1062?\n\"Answer: -176*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 21*v**2 + 28*v + 2. Give r(-22).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 - 14802*a**2 + 82199194*a - 1231878010\/3 = 0. What is a?\nAnswer: 5, 11099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-4))\/((2\/(-8))\/(-172 + 173)). Solve 73*z + 3*w - 3 = 72*z, d = 3*z + 3*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754795 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let f(b) = b - 10. Let g be f(9). Let m(q) = -q + 1. Suppose -78*h = -75*h + 6. Give g*m(j) + h*p(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nannttnnnannhhnnhtn. What is prob of picking 2 t?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1486 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 30400000 = 2*c. What is c rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -0.5, 0.4, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 210*r + 54. Let y(g) = -31*g - 8. Let q(h) = 8*m(h) + 54*y(h). Let n(s) be the second derivative of 1\/3*s**3 + 0 + 0*s**2 - s. What is q(n(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 2. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + (-260)\/60 + 1\/3. Let g(k) = 12*k - 158. Determine g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6) + 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 - 228*t + 69. Determine z(-64).\nAnswer: -1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*h - h + 138 = 0, 3*o + 5*h = 88. Suppose 5*d - d = 2*m - 32, 0 = 4*m + 5*d - 77. Calculate the smallest common multiple of m and o.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.94 - 0.06. Let s = -5 - n. Let w = s - -1. What is the nearest to 1 in w, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 3*v. Let z(g) = -g**3 - 5*g**2 + 6*g + 3. Let x be z(-6). Let o be n(x). Let j(a) = -a + 11. What is j(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**4 - p**2 + 1. Let m(f) = 7 + 9 + 3*f**2 + 44*f**4 - 25 + 95*f**4. Let j(s) = m(s) + 6*r(s). What is the third derivative of j(g) wrt g?\nAnswer: 3192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -135. What is the greatest common factor of 152 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p + 8. Suppose 0*r = -r - 27. Let x = r - -32. What is the nearest to 0 in -1\/5, p, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2223, 14, 1, 5, -3, -1, -4 in decreasing order.\nAnswer: 14, 5, 1, -1, -3, -4, -2223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h + 2221. Give p(133).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 - c**3 + 4*c**2 + (-c + c + c)*(144*c**2 - 435*c**2 - 667*c**2).\nAnswer: -959*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 5*y + y**4)*(-1 - 1 + 0)*(19 + 14 - 13 + (2 + 2 - 2)*(2 - 5 + 4) + 0 - 1 - 1 + 2 - 2 + 1).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -40*n. Let f(y) = 13*y + 902. Give q(f(r)).\nAnswer: -520*r - 36080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 32 = -5*r + 4*c, 4*c - 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14416189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9092 is divided by 1514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38299 + -27993. Calculate the remainder when h is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - t - 19 + 40.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.3 (b) -0.4 (c) -0.057 (d) 0.4 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3586, 14210, 31920, 56716?\n\"Answer: 3543*l**2 - 5*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + 6 + (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 22*n**2 + 46*n - 29. Let o be p(-24). Calculate the greatest common divisor of o and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206748 or -620242\/3?\nAnswer: -620242\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-555)\/(-75)*5 + -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + 1 + sqrt(275) + -3)*-5 + (sqrt(198)\/(4*sqrt(9) + sqrt(9)))\/(sqrt(24)\/(-1*sqrt(12))).\nAnswer: -251*sqrt(11)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 9316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -7*s**3\/3 + s**2 + 8*s - 4. Let b(f) = 8*f**2 - 3*f - 9. Let u(x) = 6*b(x) + 7*g(x). What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/11 + 86*k**4\/11 + 58572*k**3\/11 - 650516*k**2\/11 + 2075510*k\/11 - 1483650\/11 = 0.\nAnswer: -157, 1, 5, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.2754 micrometers in kilometers?\nAnswer: 0.0000001502754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 f, and 1 k when four letters picked without replacement from {g: 1, f: 2, k: 1, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h + 2*h**2 - 23*h + 6*h + 9*h. Let z(i) = 537*i**2. Calculate v(z(u)).\nAnswer: 576738*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 228*f**2\/7 - 468*f\/7.\nAnswer: 3*f*(f - 2)*(f + 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 500987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 2 + 5\/4*g**4 + 3*g**2 - 7\/3*g**3 - 1\/60*g**5 + 0*g. Calculate the remainder when q(23) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (150\/4)\/(11\/(169 - -7)). What is the greatest common factor of 250 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180179318.985 - 426.\nAnswer: 180178892.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 3*m**2 + 22*m - 21*m - m**2 - 4 to the form w*m + o*m**2 + p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -619.6 + 33.6. Sort 0, 1\/8, w in descending order.\nAnswer: 1\/8, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 6\/17 (c) -14 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 36738*n - 404108. What is g(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4918.\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let b be 3 + 25\/(-12) + -1. Does b = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1089 != -1091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:52 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577*j + 4029 + 3207 = -175*j. Suppose -20 = -5*l, -5*c + l + 215 = -4*l. What is the remainder when c is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 17 = -4*o, -4*g - 5*o - 605 = -576. Put 0, -63, 4, g in decreasing order.\nAnswer: 4, 0, g, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 16*q + 14. Calculate a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -79, -75?\n\"Answer: 4*o - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -43)*((-10115)\/(-561) - 18).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -87123*0.2627\nAnswer: -22887.2121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86386\/19 or 4546?\nAnswer: 4546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y = -131*y + 3565. Let b be -3*(-4)\/(-18)*-6. Suppose -r = -b*r + 69. Calculate the greatest common factor of y and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52479507 to the power of 1\/2, to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(65) - (4*sqrt(65) - sqrt(65))*-5) + sqrt(65)))\/(((sqrt(480) + -3*sqrt(480))\/sqrt(12))\/sqrt(8)).\nAnswer: -34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20010844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 + 354 = 3*r. Let x be 34 + 12\/8*-2. What is the highest common factor of x and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*x**2 + 131*x**2 - 45*x**2.\nAnswer: 229*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1257.8 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -34, 2, 3, 4 in descending order.\nAnswer: 4, 3, 2, -34, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100111 + -11?\nAnswer: 1011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -1*sqrt(1377)*-3 + 1 + -5 + -3).\nAnswer: -54*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 4. Let c be ((-46)\/3)\/(x\/21). Suppose -j + 112 = 4*l + c, 4*j - 125 = -5*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2. Let z = 1 + 4. Let p(g) = -z*g + 5*g - 2*g. What is p(i(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -f - 3*f + 4, -20 = -f + 4*c. Suppose -l = -5*z + 3, -8*z + 3*z = 2*l + 6. Sort l, f, 0 in descending order.\nAnswer: f, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 652 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Find the third derivative of 6*f**6 + 9*f**6 - 29*f**2 + h*f**3 - 4*f**3 wrt f.\nAnswer: 1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/4 - 6*k. Let r(v) = 12*v**2 + 8. Let u(b) = -4*b**2 - 3. Let w(x) = -3*r(x) - 8*u(x). Give m(w(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4d7035 (base 15) to base 5\nAnswer: -1423004200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 6*v - 3, 0 = -3*m - 4*v - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 + (-28 - (12 + -25)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(20\/4)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (55 - (-47 - -73)) + -8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4 - 3287358*y**2 + 6574725*y**2 - 3*y - 3287366*y**2. Let r be 4\/(-8) + (-14)\/(-4). Give z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 115*o**4\/24 - 22*o**3\/3 + 4*o**2 + 3*o. Is z(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 143705 = -5*w, 3*w - 86196 = -14*t + 17*t. Suppose -41*c + 44858 + w = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 42*g**2 - 35. Let l(r) = 19*r - 690. Let m(w) = -6*w + 207. Let i(o) = 3*l(o) + 10*m(o). Give i(j(t)).\nAnswer: -126*t**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 55*a**4\/12 + a**2. Let v be h(1). Suppose 5*m = -0*m + 50. Calculate the greatest common factor of v and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 7. Let o be (s + (-11)\/(-4))*-2. Do 1\/4 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**3*k*o**3 - 5*h**3*k*o**2 - h**3 - 2*h**2*o**2 + 11*h*k*o**3 - h*k*o**2 + 91935*h*o**3 - 486564*o**2 wrt o.\nAnswer: 54*h**3*k + 66*h*k + 551610*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8990)\/(-2697)*4\/(-15).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*x - 171?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) - (3 + 540\/55). Let p be (-6)\/21*t\/2 + -1. Find y, given that -4\/7 - 2\/7*y**2 + p*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1134*q**2 - 256288*q - 898. Give f(-226).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114634305*s**3 - 243677556*s?\nAnswer: -687805830*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0. Let g = -28652.8 - -28654. What is the nearest to -0.1 in -2, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/107, -5, 2 in decreasing order.\nAnswer: 2, -14\/107, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.564 or 145700?\nAnswer: -0.564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 8*g**2 - 12*g - 15. Let i be h(-9). Find the second derivative of 31*q - i*q - 406*q**2 + 406*q**2 - 26*q**5 wrt q.\nAnswer: -520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -10.2 (b) 9 (c) -1 (d) 1643 (e) 0.3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 > -21736\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218 + 220 = -318*n - 1106 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -4217.\nAnswer: 216\/4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -333779 and 4.\nAnswer: -333775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 18*t + 28. Let o be u(19). Let g be 301\/63 - (-2)\/o. Let x(k) = k + 8. Let v be x(-4). Solve -g*z - 11 = v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 6626*m - m**2 - 3741*m - 654*m.\nAnswer: -m**2 - 11021*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/7 (b) 2\/3 (c) -625.8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-1050)\/112))\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 324, 647, 970, 1293, 1616?\n\"Answer: 323*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -7\/3*f**3 + 2*f**4 + 0*f + 0*f**2 + 4. What is the third derivative of y(r) wrt r?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26*q**3 + 13*q**2 - 7*q. Let r(b) = -9*b**3 - 4*b**2 + 2*b. Let k(p) = 2*c(p) + 7*r(p). Find the third derivative of k(j) wrt j.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (0 - (5 - (0 - (-8 - 1))))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4*b + 17 + 13 = -3*b, 3*j - 11*b + 5 - 4 = -17 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*0.6.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380626897?\nAnswer: 7, 31, 139, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 28. Which is the nearest to 2\/3? (a) x (b) -0.3 (c) -3\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**3\/6 - 115*n**2\/16 + 29*n\/8 + 20. Suppose k(x) = 0. What is x?\nAnswer: -29, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 87*k - 684. What is the remainder when d(10) is divided by 582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1655147 and 18772.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + 12*j**2 + 17*j + 15. Let b(f) = -f**3 - f**2 - 2*f + 1. Let n(c) = 3*b(c) + q(c). Calculate n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + -2 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 430*a**3 + 426*a**2 - 430*a - 428.\nAnswer: 2*(a - 1)*(a + 1)**2*(a + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104188, -208381, -312584, -416803, -521044, -625313?\n\"Answer: -o**3 + o**2 - 104189*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 6 - 39 = 0. Put 4, x, -12, 3 in descending order.\nAnswer: 4, 3, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 145620\/360 + (-10)\/(-4). Let b be 22*5\/(-50)*-5. What is the highest common divisor of b and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -606, -592, -578, -564, -550?\n\"Answer: 14*m - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 1cac340?\nAnswer: -1cac333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 39. Let d = -45 + 44.8. What is the fourth smallest value in -2\/7, -3\/7, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -133. Let r(f) = f**2 + 11*f + 33. Let b be r(q). Solve b*k + 10 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-27))\/((-2)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -7. Suppose -5*h + n*h - 12 = 0. Suppose 0 = -4*r - 3*f - 1, h*r - 4*f = r + 18. Solve 5*j = -r - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1089*p. Let d(g) = -15*g. Determine x(d(a)).\nAnswer: -16335*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 107 + 0 - (-3 - 2). What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13109, -51580, -115413, -204614, -319189, -459144?\n\"Answer: -l**3 - 12675*l**2 - 439*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13394938*p**3 + 2*p**2 + 2470245 wrt p.\nAnswer: 80369628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1172 + 1169 = -0*k + k, -j = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, h: 9, r: 2}. What is prob of picking 1 c and 1 r?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + m + 0 + 10 with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-158.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*u - 28 - 332, -4*f = 3*u - 480. What is the greatest common factor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30064194 divided by -175814.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/840 - b**5\/105 + 19*b**2 - b. Determine p so that h(p) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 83?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 25. Let f(d) = 29*d. What is c(f(m))?\nAnswer: -232*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*r**3 + 2*r**2 + 25*r**3 + 32*r**3 - 3*r**2 + r - 2*r**2 to l + a*r + s*r**3 + b*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/7, 70, -0.3 in decreasing order.\nAnswer: 70, 3\/7, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -3, 2 in ascending order.\nAnswer: -3, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -11 - (16 + -16) - 65 - 6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1202, 1223, 1244, 1265, 1286, 1307?\n\"Answer: 21*p + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - b**5 + 2*b**5 + (b - b - b**4)*(2*b + 2*b - 5*b) + 0*b**5 + 8*b**2 - 2*b**5 - 6*b**2.\nAnswer: b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - (-7720)\/100. Suppose 5*o - 4*m - 151 = 0, 2*m - m - v = -3*o. Calculate the highest common factor of o and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 13*a - 13*a. Let p(j) = -7*j**2. Calculate p(s(r)).\nAnswer: -112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -11021033?\nAnswer: -11021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-5001)\/(-9))*204\/(-85). Suppose -a = -7*q + 862. What are the prime factors of q?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -0.2 (c) -1.3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = 3*y - 1, 3*u = -y + 15. Suppose -y = -9*m + 6*m. Solve 0 = m*t - j + 18, -3*j = 3*t + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-675)\/(-36)) - 3\/30*-42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, 72, -34, -5 in descending order.\nAnswer: 72, 4, 0, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -33. Let z = 26.00022 - i. Round z to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459.\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 11*n = 75. Put 5, 14, -6, n in descending order.\nAnswer: 14, 5, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001967 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ec946 - -1c?\nAnswer: -3ec92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -616, -1473, -2746, -4477, -6708, -9481, -12838?\nAnswer: -16821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22922.2991 rounded to the nearest ten?\nAnswer: -22920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 16) to base 8\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t**2 - 3*t**2 + 1 + 2*t**2 - 2*t + 0*t**2. Calculate o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03172712033 and 261?\nAnswer: 261.03172712033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(44)*2*6)\/(sqrt(400)*-2).\nAnswer: 11*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32130\/16 - 116\/928?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 684 - -77?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.24 or 537097?\nAnswer: 537097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7 + 10 + 6 - 5*n + 11. Let z be y(3). Suppose 34 = z*x - 6. Solve -o - 3*u - x = 2, 4*o + 8 = 4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 561*u - 6 + 553*u - 1116*u. Calculate l(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 1) + 0\/2. What is the first derivative of -3*x + 4 - x + 4 - k wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 750\/(-70) - (-24)\/(-35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -200*o**2 - 6594*o + 201. Give j(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -31 - 7) + (7 + -6 + 5 - -3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16723 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 4*p + 5. Let h be f(4). Let q be (2\/h)\/((-1)\/(-10)). Let o = q - 2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5032966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-18))\/(-1) - (-329)\/63. Suppose 2*g - 15 = w. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/(-3)*3*32\/(-40). Is -104 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 45 = 68 + 85. Find f such that -15\/7*f**5 + 30\/7*f**3 + 6\/7 + 6\/7*f**v - 12\/7*f**2 - 15\/7*f = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 + -378. Suppose 167500 = -7*v + y*v. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*v + 1030*g + 140*v - 1 wrt g?\nAnswer: -2*v + 1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(12) - sqrt(3))*1)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p*r**2 - 1792*p*r + 4593935*p - r**2 + 10*r wrt r?\nAnswer: 6*p*r - 1792*p - 2*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 20 = 5*f, -x + 8 = 2*f + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 5, 15, 3, 40 in decreasing order.\nAnswer: 40, 15, 5, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Calculate the remainder when -1 - 21*(1 - 2) is divided by 19\/k - (-6)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4952850 divided by 7950.\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(13*o + 20*o - 9*o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30150331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22375\/566 + -9\/283. What is the common denominator of 59\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 10, a: 2}. What is prob of sequence agg?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 782.7999 micrometers?\nAnswer: 0.07827999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -36. Suppose -14 - o = -3*d. Solve 0 = 4*a - 25 + d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.06. Let h = d + -0.4. Round h to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4*(-1)\/(-4)*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -22 - (-2 + -8 - -1) - 27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368856 by 5123.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21987240, 21987243, 21987248, 21987255, 21987264, 21987275, 21987288?\nAnswer: 21987303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 30864*u + 2. Let p(v) = 28*v + 2. Give t(p(s)).\nAnswer: 864192*s + 61730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 7}. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 14 = 2*y, -3*y - 17 = -37*p + 42*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38699425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 13044?\nAnswer: -1\/6522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1431 + 79 = 2*n, -z = 3. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Let p be x\/(-12) + 87\/2. Suppose 3*y - p = 17. Solve -5*a - y = -2*h, 5*h - a - 4 = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0207324 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03737747 or 2?\nAnswer: -0.03737747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s. Let i(p) = 22*p**2 - 5. What is i(b(y))?\nAnswer: 2200*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = 3*n, n - 12 + 1 = 4*u. Suppose -90*o + 95*o - 10 = 0. Solve -o = -n*i + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298\/(-1639) - (-108)\/110.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.043, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 10*d**2 + 3*d - 10. Let q be j(10). Let z(u) = -8*u + 20 - q. Let b(r) = -r. Let v(h) = -5*h. Let y(f) = -6*b(f) + v(f). Calculate y(z(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-591)\/(-788))\/(39\/(-884))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/38 (b) -0.4 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2883 + 0.2883. Which is the closest to 0.032? (a) -4 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 6. Let m be ((-3)\/2)\/((-3)\/10). Suppose 5*f = 5 + m. Suppose f*s = -3*s. Determine v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 + 4 + t**3 + 7*t**2 + 4. Suppose -3*a + 77 - 215 = 0. Let y = a - -39. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -68. Let h be ((-5)\/25*-5)\/(l\/2). What is the derivative of 15*d**2 + 1 - 20*d**2 + 5*d**h - 13*d**3 wrt d?\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*z + 71 - 86, -28 = -2*v - 4*z. Solve v*c + 1 = 9*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 - 5.15. What is the third biggest value in -2\/9, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w**4\/8 - 3843*w**3\/4 + 2571*w**2\/2 - 429*w = 0 for w.\nAnswer: -286, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.042 - 5.042. Let z = -0.7 - -0.5. Put h, z, 4 in descending order.\nAnswer: 4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30*j = 34*j - 143, -j + 90 = 3*k. What is the remainder when 84 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from qzzmvmpvzzmi?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 - 1 - o**2 - 11*o**3 + 3*o - 2*o. Let w be (-2)\/(-10) - 12\/10. List the prime factors of v(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -157*-6\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -25. Let g(w) = s*w**2 - 2*w**2 - 2*w**2. Let y(q) = 4*q - 2*q - q. What is g(y(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, 1 u, and 1 p when four letters picked without replacement from rureprrlrulrlprurrb.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, -1, 3, -379?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 4. Let q(z) = -z**2 + 2. Let y be q(2). Let t be (-6)\/(-4)*y - -8. Let w be h(t). Sort w, -4, -5 in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 41*a**2 + 349*a + 15091. Give u(-40).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 - 24 + 24.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 2*p - 2*p. Let a(b) = 15*b**2 + 13*b. Let j(g) = 7*g**2 + 6*g. Let r be -10 + (-9)\/(5 - 2). Let w(i) = r*j(i) + 6*a(i). Give t(w(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/450 - v**4\/60 + 14*v**2. Factor m(d).\nAnswer: -2*d*(d + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*c - 261 + 289, 5*c + 366 = -99*h for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82 - -376?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452382588?\nAnswer: 2, 3, 7, 61, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 993383, 993389, 993395, 993401, 993407?\n\"Answer: 6*f + 993377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 3*j**3 + 3*j**3 + (j**4 + j**4 + 0*j**4)*(6*j - 4*j - j) + (4*j + 3*j - 4*j)*(-3*j**4 + j**2 - j**2).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:47 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/((-2)\/12). Let j(z) = -3 - t*z + 3. Determine j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15095023743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11342339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822892349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1179)\/12)\/((-9)\/24). Suppose -f = 3*l - 271. What is the highest common factor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 5432635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18199642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/9)\/g**(19\/4))\/((g\/(g\/(g**(3\/5)\/g)))\/(g\/(g**(-31\/2)\/g*g*g*g))) assuming g is positive.\nAnswer: g**(1847\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -659.\nAnswer: -5\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(3 - 21\/6). Let p be (z\/(-10))\/((-8)\/20). Calculate the lowest common multiple of (56\/p)\/((-2)\/(-1)) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - z + 43. Let t(j) = -11*j**2 - 2*j + 65. Give -8*s(k) + 5*t(k).\nAnswer: k**2 - 2*k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 199*d - 136301. Determine m(283).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 27 = 5*z, 4*j = -5*z + j - 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/60 + 3*i**4\/8 - 5*i**3\/3 + 982*i**2. Give l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2258 and 81\/322?\nAnswer: 363538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -5, -30, -87, -188, -345, -570, -875?\n\"Answer: -2*m**3 + 2*m**2 + 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-27))\/(5\/(-8265)) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 1463428*z**3 - 267688054218*z**2 - 5354200120760*z - 26771732337800.\nAnswer: -2*(z - 365867)**2*(z + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 32. Let q be (-4 - -1 - -4)*b. Suppose -10*u = -q*u - 95. What is the highest common divisor of 133 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 473800.\nAnswer: 473799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (319 + 262 - 43)*(854 - 854 - 64*f)*(-f**2 - f**3 + f**2) + (-2*f - 2 + 2)*(-f**3 - 5*f**3 + 3*f**3) to l + b*f + z*f**4 + n*f**2 + i*f**3 and give z.\nAnswer: 34438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2829 = -3*p + 999. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**6\/(d**(2\/11)*d*d**10) assuming d is positive.\nAnswer: d**(-123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -102011120121 (base 3) in base 5?\nAnswer: -24013400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/6)\/((-3)\/(-9)). Let b = -71 - -97. Suppose w - 2*i - 8 + 2 = 0, 0 = 3*w - 2*i - b. Solve -d = -y + 1 - w, u = 5*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrryyyyyyyryrryy. Give prob of sequence ryy.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153 - 121*n - 15 - 157*n - 105 + 82 with respect to n.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4719683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 + (12\/10 - (-672)\/(-60)) - -258 and 184?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + f - 19. What is z(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Suppose 3*j = 3*f + 2*f + 13, -5*f = -j + 1. What is the units digit of u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:50 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pawwgippgpgaaaz. What is prob of sequence zwia?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(10\/11 + -1). Suppose -37 = -5*s - 4*n + 199, 101 = 2*s - 5*n. Let d = k + s. Solve 3 = -5*c + 5*z + 23, 0 = -4*c + 3*z + d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5793 divided by -1931\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -29*v - 548. What is g(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.36 - -0.043. What is p rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t - 1. Let g be u(-1). Find the second derivative of -16*l + 25 + g*l**4 - 25 wrt l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 78 = -2*f, -5569*t = -15*f - 5573*t + 571 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 105802 = 2*h, 2*h = 3*w - 63462. What are the prime factors of w?\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from {u: 11, f: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 10 = -75*w + 66*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/6 (b) 4 (c) 0.03 (d) 2\/7 (e) 314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -6 - (-6 + -1) - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.27 + -2.6?\nAnswer: 39.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261.4 + -199.4. Which is the closest to o? (a) -0.4 (b) 4 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -b - 2*n + 9, b = -5*n - 15. What is the derivative of 2 + v**2 + 0*v**2 + 2 - b wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116 divided by -31.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531907 + 1531907 + 26*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139175127 to the power of 1\/2, to the nearest integer?\nAnswer: 11797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 181, 238, 291, 340, 385, 426?\n\"Answer: -2*h**2 + 63*h + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7213 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 3}. What is prob of picking 3 n and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/1*(-112)\/(-32). Suppose 3*d + 57 = -0*b + 2*b, 3*b - 2*d - 88 = 0. Let a = b - q. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h - 30. Let k(l) = -l**3 - 10*l**2 + 5. Let p be k(h). Let b = 1 - 1. Solve b*s - p*s + 2*u = 0, 20 = 5*s + 2*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = 4*t. Let f be (-7)\/(-7)*(-1 - t). Let z = 15 - f. Calculate the remainder when 28 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by -15871.\nAnswer: -750\/15871","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -57911 bigger than -57912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 2, t: 13, p: 2, r: 1}. Give prob of picking 1 i and 3 t.\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrxmmai. Give prob of sequence di.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + 38471\/(-365) + 4\/10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1146 and 12224?\nAnswer: 36672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13980b7 (base 12) to base 7.\nAnswer: 45300445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*f + 12, -5*x + 0*f + 15 = 4*f. Let p = -6 + 9. Let h(k) = 3 - p*k + 2 + 2*k. Determine h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 13*t - 363. Suppose -4*p + t = 4*h, -4*p + 56 = -0*p + 3*h. Solve -10 + p = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2147.1 - -2633.31. Let u = h + -0.21. Let t = 485.999294 - u. Round t to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -127. Factor 0*m**3 + 1232 + 18*m - 3*m**3 - 1256 + 9*m**t.\nAnswer: -3*(m - 4)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2620 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392128945.\nAnswer: 5, 13, 2393, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26974048.\nAnswer: 2, 842939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 8, v: 6}. What is prob of picking 3 x?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(-1 + 4 - 2)*(k - 5*k + 0*k + 0 - k + 0 + (1 - 1 - 2)*(2 - 2 - 2*k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15062 (base 7) to base 14.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnnlnlnnnnnggnn. What is prob of picking 1 n and 2 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/3*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 6*f**2 - 10. Let a be 11 + (3 - 4) + (-6)\/2. List the prime factors of r(a).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 30*b**2 - 27*b - 13. Calculate o(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 235 + 79. Let n = v + -315. Let j be 18\/104 + (-1)\/4. Is n <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 52. Find the common denominator of (-18)\/48*2\/(-3)*m and -21\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n - 2. Suppose -3*o - n*f + 166 = -337, 4*o = -2*f + 684. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7331*p + 7325*p + 16 = -2*r, 2*p - 9 = -3*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -22. Let n = 23 + a. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:24 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/7 - 164*c\/7 + 6724\/7 = 0.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 666*t**5 - 581*t wrt t?\nAnswer: 13320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 take away 6411?\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5 + 40*a**4 + 70*a**3 - 40*a**2 - 75*a = 0. What is a?\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 5, t: 3}. Give prob of picking 2 w and 2 t.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129249 = 77*f - 1872 + 14620. What is the remainder when f is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 3c03b229?\nAnswer: 3c03b225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 1. Let t(v) = -v**2 - 9*v - 6. Let q(s) = -3*l(s) + t(s). Calculate the remainder when 45 is divided by q(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**7\/1995 - u**6\/570 + u**5\/114 + u**4\/38 - 634*u**2. What is w in m(w) = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/21))**45)**(1\/12) assuming i is positive.\nAnswer: i**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -500434 divided by -21758?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -579749 and 541.3?\nAnswer: 580290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*g - 6 = -624*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(5 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + -1))))*-1.\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + o**3 - 3*o**3)*(0 + 8 - 7)*(-43*o + 13*o - 19*o) in the form m*o**4 + u*o**2 + s + z*o**3 + t*o and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 times 2369?\nAnswer: -29375.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1742 divided by -80901.\nAnswer: -1742\/80901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.33 - 18.33. Let f(t) = -t**3 - 4*t**2 - 4*t - 4. Let j be f(-3). What is the third biggest value in x, 5\/8, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-32) - (-156)\/16) + 563. Solve 577*l - 12 = z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -2 - -11 - -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57745026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 - 232\/(-16))*176. Solve b*i - 92*i = 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 + -61. Suppose -92 = -3*i + 4*f + 17, -4*i - 3*f = -z. Let u = -35 + i. Solve u = 4*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33 + 246\/(-8))*(-16)\/(-6). Solve -18*v + 20*v = 2, -31 = 5*k - h*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 47 = -z - 0*i, 0 = -3*z - 2*i + 166. Suppose 0*j = 4*j - z. Calculate the highest common divisor of j and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129287135.00000067 - -129287134. Let i = 5 + -4. Let f = i + u. Round f to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*g - 380, -6*h + h + 5*g = 460. Is h\/(-6) - 2\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1762 - 548*l - 1642 + 3301.\nAnswer: -548*l - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3642432 and -103\/11712?\nAnswer: 3642432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhff when four letters picked without replacement from gyhfgffggyfngyfgffyh.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 12726?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 9*g + 11. Is w(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 32*x + 1230. Let c be d(-38). Solve -20*o + c*o - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 19 = -6*q. Suppose q*b - 32 = 3. Suppose x + b*p = 58, x + 0*x - 13 = 4*p. Calculate the lowest common multiple of x and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 0, -5*q + 3 = -q - r. Let f = 2 - q. Suppose 0*m - w - 141 = -m, 0 = 4*m + f*w - 552. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001014 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016220324.\nAnswer: 2, 3, 7, 2381, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24416 + -7665. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*56\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37900 by 169.\nAnswer: 37900\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:12 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11165 (base 7) in base 3?\nAnswer: 10220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**2 + 10*m**3 - 5*m**4 - 12*m**3 + 6*m**3 - 24*m**3.\nAnswer: -5*m**2*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 46 - 7 = 6*f + 3*c, -17*f + 3*c - 107 = -12*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(-27)*((u*u**3\/u*u)\/u)**(-43))**(-28) assuming u is positive.\nAnswer: u**3864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 11, f: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4368264853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461.67*-2.3.\nAnswer: -1061.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 17*p**2 + 32*p + 13. Determine d(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 - 135. Let l be (-30)\/h*27\/(-15). Solve -2*a - 5 = 3, -5*a = l*f + 29 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijvi when four letters picked without replacement from njvirjjnni.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 13)*(-1 + 1 + 2*g)*(0*g + 2*g - 3*g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*y - 840, -4*g = -2*y + 50 + 292. Does 55 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75909007 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + u + (4*u + 7*u - 3*u)*(-18 + 52 + 27).\nAnswer: 489*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - 3*o, -a - 4*o + 5 - 1 = 0. Let v(k) = 8*k**2 - 9*k + 3. Let r be v(2). Solve a = -2*i - r + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78217*r**4 + 13*r**2 + 1874?\nAnswer: -1877208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-9) + (-4)\/6. Let l = -7674 + 7674. Calculate the remainder when 42 is divided by 10*(l + (-5)\/(-2))*r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(384)\/sqrt(3)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - 2) - (-6 + 10 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -10, -7, -717, 5, -2 in decreasing order.\nAnswer: 5, -2, -7, -8, -10, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1092, 1\/4, -5, -0.3, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -38474 divided by -1\nAnswer: 38474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.2. Let h = p + -0.05. Which is smaller: h or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1. Let w(u) = 2*u + 4. Let f(j) = -4*i(j) - w(j). Let q(p) = -2*p**2. Determine q(f(h)).\nAnswer: -8*h**2 - 64*h - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 17*b + 555. Let n be q(11). Let a(x) = 2*x + x + x**2 - 1 - 7*x. What is the units digit of a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -13) + (5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -217. What is the least common multiple of 145 and s?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4)\/69*(7 - 5). Let w(q) = 2*q**2 - 3*q + 1. Let y be w(2). Let g be 3\/(y\/2) + -1. Is g bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4513*c = 4358*c - 4805 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*l**3 + 9 - 9 - 1.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 4 + 4)*(-p**2 + 2*p - 2*p)*(5*p - p - 2*p) in the form s*p**4 + u*p**2 + f*p + o*p**3 + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -47\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = -33*z - 10. Solve -2*q + z - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-267264.\nAnswer: 18708.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 2*s**6\/225 - s**5\/75 + s**4\/120 - s**3\/3 + 4*s**2. Let g(f) be the first derivative of u(f). Factor g(r).\nAnswer: (4*r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -437.2 - -400. Let r = -37.1 - l. Suppose -11 = 5*f + 19. What is the closest to -2\/3 in r, -2, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-126))\/((-5)\/15))\/(14\/(-3))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07896 take away 2.322?\nAnswer: -2.24304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:38 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -22 + 16 - 15*w + 6 + 238*w. Let g(t) = 2*t**2. Determine g(o(l)).\nAnswer: 99458*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2246 - 2238. Suppose -2*p = 5*n - 0*p, 2*n + 5*p + 21 = 0. Solve n*z - r = 0, -5*g - 2*z - z = -22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 42 = -35*d. Is 15*(3 - (-5 + 13) - d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3546884934.0036194 + 3509429831.00362. Let p = 37455107 + m. Let r = p + -4. 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: What are the prime factors of 29924256?\nAnswer: 2, 3, 311711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 361743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:08 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Let z = t - 5.02. What is the closest to z in 1, 1\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o - 1 + 3\/2*o**2. Let y(g) = -134*g**2 + 426*g**2 - 297*g**2. Determine x(y(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005595093 rounded to 6 decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(2) + 1 + 3 + 2)**2*2.\nAnswer: 72*sqrt(2) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 282*b. Let g(r) = 4765*r. Determine x(g(h)).\nAnswer: 1343730*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-32)\/(-4)) - 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2200409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c = -0*k + 3*k + 697, -3*k = 9*c - 619 + 355 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43eb (base 16) to base 13.\nAnswer: 7bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:06 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)\/x*x*x**1*x)**(-1\/12) assuming x is positive.\nAnswer: x**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/t**(-2\/5)*t*t**(1\/2)*(t**(-1))**(-1\/44)*((t\/(((t**(-1\/10)*t)\/t)\/t*t)*t)\/t*t*t**(2\/17))**(10\/13) assuming t is positive.\nAnswer: t**(24791\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.2 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 17, -3, 1102, -65 in decreasing order.\nAnswer: 1102, 17, -1, -2, -3, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38*(-1 + -2)\/(12 + -10). Let m be 76\/h + (-2)\/(-6). Let y be m*(16\/(-4) + -1). Solve -34 + 9 = -y*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 0.3, 0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*f**3 - 41*f**3 - 34*f**3 - 40*f**3 - 42*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1338\/4*4\/6. Let i = n - 71. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 3*u**4 + 185*u**3 - 2623*u**2 wrt u?\nAnswer: -60*u**2 - 72*u + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + s = -7, 3*s - 15 = 3*f - 0*s. Let g be (32 - 2)\/(f\/(-1)). Suppose -18*r + g*r + 303 = 0. Calculate the remainder when r is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12008034 divided by -6?\nAnswer: 2001339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -1, -73, 76, 2, -20 in ascending order.\nAnswer: -73, -20, -6, -2, -1, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 436386.1 meters?\nAnswer: 436386100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from mhhn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000424, -1999825, -1998826, -1997427, -1995628, -1993429?\nAnswer: -1990830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*q + 3*i, -i + 4 = 3*q - 3. Let a be ((-3)\/(-12))\/(q\/16). Let p(o) = 7*o - 5*o**a + 84 + 4*o**2 - 34 - 40. What is p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - q + 1. Let j(r) = -7*r**3 - 4*r**2 - 4*r + 4. Let g = -59 - -63. Let m = -210 + 209. Calculate g*l(b) + m*j(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -38. Let p(h) = -7*h + 8. Let t(z) = 15*z - 17. Let u be 4*(-1 - (-51)\/6). Suppose 2*j + 8 = -2*v - 4, 5*j + u = 5*v. What is i*p(f) + j*t(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (42 - 35) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58.9, -3, -1934, 0.3, 1, -0.1 in descending order.\nAnswer: 58.9, 1, 0.3, -0.1, -3, -1934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -46. Let s be -2*3 + (8 - -78). Calculate the highest common divisor of m and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19803605.\nAnswer: 5, 19, 208459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 22?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -20*c**2 - 6094*c - 10336. Calculate v(-303).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 39. Let c(i) = i**2 - 3*i + 3. Let v be c(a). Solve 5*l - 3*r + 5 = 0, -l + 6*r - r + v = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-74.8\nAnswer: 299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**3\/3 + t**2\/2 - 4*t - 4. What is the tens digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.049 or 0.09?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 201 - 509 = 0. Let u = y - 73. Is u equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292566.1nm in centimeters?\nAnswer: 0.02925661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 + 9*m**2 + 17*m**2 - 24*m**2 + 10*m**2 + 2*m**3.\nAnswer: 2*m**3 + 52*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16761 + -0.0547249\nAnswer: 16760.9452751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2394 divided by -6?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 3065 = -22805. Let y = l + 2653. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 - 153. Solve -3*g - 10 - 5 = -3*z, 5*z + 15 = -b*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677790441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2687756 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -8*w**4 + 17*w**3 + 30*w**2 - 68*w + 8 = 0.\nAnswer: -2, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.07, -4, 506, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3241 + 19375\/6. Find the common denominator of r and 51\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 11*r + 76. Let l be c(0). Suppose -f - 16 = -2*n + 20, -4*n + f + l = 0. Solve 2*a + n = -2*i - 2*a, 3*i + 22 = -4*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 + -11000?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(-1)*(-216)\/54.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30*1)\/(27\/(-4680)*-52).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 + k - 2. Let c(j) = j**2 - 2. Let h be c(-2). Let z be o(h). Let r(i) = -3*i**3 + 7. Let n(w) = -4*w**3 + 8. Calculate z*n(b) - 5*r(b).\nAnswer: -b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5047*c**5*s - c**3*s - 29*c*s + 101*c + 3*s wrt c.\nAnswer: 100940*c**3*s - 6*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 + 2)\/((-2)\/(-6)). Let o be n\/(-30) - (-338)\/4. Round o to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s**2 + 14*s**2 + 42*s - 2*s**3 + 16*s**2 + 9 - 71*s**2 + 21*s**2 as h*s + n*s**2 + w*s**3 + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + (-39)\/(-12). Let z be 6\/n*(-8)\/(-3). Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/4 - 1)\/(21\/6678). Let n = v + 203. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2563.691 + -2560. Round q to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/6)\/(-1))\/(34\/(-204)). Which is the second smallest value? (a) -5\/2 (b) -1\/3 (c) l (d) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -90*q + 458. Determine v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -62. Let m(v) be the second derivative of v**3 + 153*v**2\/2 + 8*v. Let l be m(0). What is the highest common divisor of d and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*k**2*n - 22525*g*k - 2*g*n + 39*k**2*n + 1441*k*n - k + 1 wrt g.\nAnswer: -k**2*n - 22525*k - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 2 (c) -0.5 (d) 3\/1303 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30494 and 13592797?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 24 = -2*u. Let l be 4\/((-18)\/(-3) - u). Solve -l*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 - 1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -31\/59801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1775592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.706 + 314899305.96?\nAnswer: 314899305.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-1750) + ((-2533)\/(-100) - (-11)\/(-44))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201101331031 (base 4) in base 3?\nAnswer: 121102020111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.625 - -559.5757?\nAnswer: 454.9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13255 (base 9) in base 8?\nAnswer: -21400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 16, -3*b + 4*q = -15536 + 15525 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from hyohy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003971067 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - 0.32. Let v be (-1)\/22 + ((-126)\/(-33))\/7. Sort v, 0.3, y in descending order.\nAnswer: v, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2343740*t**4 - t**2 - 12*t - 673 wrt t.\nAnswer: 56249760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/20007224 and 29\/506512.\nAnswer: 40014448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26678431 - -0.0071.\nAnswer: 26678431.0071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1014 + 591 = 0. Let a = 233 + q. What are the prime factors of a?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*z**5 + z**4 - 95*z**2?\nAnswer: -8160*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o + 5 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**10\/75600 - p**9\/30240 + p**5\/20 - 2*p**2. Let g(b) be the third derivative of o(b). Determine r, given that g(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4864 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 1\/(-3)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:32 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 5*r**3 - 2*r**3 + (-2*r - r + 2*r)*(4 - 2*r**2 - 4) + 5*r**3 - 2*r**3 - 2*r**3)*(9*r - 24*r + 13*r + (-44 + 44 - 16*r)*(4 + 0 - 1)).\nAnswer: -350*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5440000 = 9*h - 13*h. Suppose 191*k - 195*k = -h. Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 44. Let l(k) = k + 9. Let w be l(j). Let r = -19 + w. Solve -i - 2*i = r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 6) to base 4.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 179307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 3*k**4 - k**2 + 0*k + 1 + 18*k - 10*k to q*k + s*k**4 + d + o*k**3 + l*k**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 16*s**2 - 3*s. Let o be w(17). Suppose 4*m + o = 3*k - 0*k, -4*k + 5*m = -317. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofoffoooffooofffoff. Give prob of sequence fof.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -565 + 575. Let w = -7 - -10. Calculate the remainder when q is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/81*-3)\/(28\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(91)*-2*5)\/(sqrt(175)*-1))**2.\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 751 or 1137204\/1517?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1)**2 - (sqrt(7) + (sqrt(700) - (-1 + sqrt(700)))).\nAnswer: 21*sqrt(7) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-208)\/39))\/((-2)\/12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 4809, 10842, 19299, 30186, 43509?\nAnswer: 59274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*7*(-3)\/(-42). Let p(o) = 4210*o**2 - 2*o - 1. Is p(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + 182*d + 271. Give y(-35).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6981437*z**4 + 9820281*z?\nAnswer: 83777244*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/5 + 34*a**4\/3 + 248*a**3\/3 + 240*a**2 - 206*a. Find w, given that c(w) = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -77*g**4\/6 + 19*g**3\/6 - 2*g**2 + 5. Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49)\/(-14) - 2\/4. Let a(y) = y**2 - 3*y + 2. Let q be a(p). What is the third derivative of 2*x**5 - x**q - 3*x**6 + 4*x**5 - 6*x**5 wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 78 = 3*t, -15 - 42 = -2*t - m. Suppose -21*j + 2184 = t*j. Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.15 + 2.3. Let g = l + -0.15. What is the nearest to 0.1 in 2, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276640852 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 10}. Give prob of sequence ayya.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -11*z + 23. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -208 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131990, 131993, 131986, 131969, 131942?\n\"Answer: -5*i**2 + 18*i + 131977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3354292506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 4467 and -8771.\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1420*o + 232 = -1418*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1146756328*x**3 + 1387544432*x**2 wrt x?\nAnswer: 6880537968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11087299.\nAnswer: 61, 181759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160 + 199. Suppose 5*o - t = -8*o. Find j, given that 0*j**2 + 2\/9*j**o + 0 - 2\/9*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101000000?\nAnswer: -101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 2*s**2 - 9*s - 4. Let v(d) = 5*d**3 - 3*d**2 + 10*d + 5. Let f(h) = -5*v(h) - 6*x(h). Let j(n) = 3*n - 18. Let z be j(7). What is f(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 6. Let n(b) = -106*b**2 - 3*b + 21. Calculate -n(o) - 3*z(o).\nAnswer: 106*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 433709 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 3. Suppose 2*i = 3*i + 3. Determine h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(153) - (sqrt(153) - -3*(sqrt(153) + 0))**2 - sqrt(153)) + sqrt(153))*5*4.\nAnswer: -195840 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h + 15 = 0, 11*h - 23 = -2*u + 8*h. Let m = -0.48 + 0.08. Sort m, 2, u in decreasing order.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 4\/3 (b) -545529 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 626*m**3 - 350*m**3 - 3 - 367*m**3 + 0 in the form n + j*m**3 + q*m**2 + x*m and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1189, -2436, -3737, -5092, -6501, -7964, -9481?\n\"Answer: -27*k**2 - 1166*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 + 5925*n**4\/2 + 1461237*n**3\/2 - 373467*n**2 - 1833234*n - 732108 = 0. Calculate n.\nAnswer: -494, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274282\/889185 - 342\/1585. Let s = u - 14\/51. Which is the closest to 0.1? (a) 2\/15 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 - 4. Let y = 0.7 + c. Let b = 0 - y. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -39 - 6*l - 5*l - 6*l. Let g be t(-9). Let d = g + -64. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (-16 - -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.3 and 0.1545.\nAnswer: -5.1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 - 2*y + 9. Let i(o) = o - 1. Let f(v) = -v**2 - 6*v + 8. Let m(g) = -2*f(g) - 11*i(g). Give 11*m(a) + 6*q(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b + 2*b)*(15 - 27 + 19) + 6 - 6 + 2*b + (3 - 2 - 2)*(0 - b + 0) - 4*b + 2*b + 3*b.\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2697, 5425, 8139, 10833, 13501?\nAnswer: 16137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 h when three letters picked without replacement from {t: 1, o: 4, i: 1, h: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 + 12*k + 8. Let n be i(-11). Does 16 divide (33\/22)\/(n\/(-128))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/195453 and -23\/238887?\nAnswer: 2149983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:38 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.304 - 0.096. Let d = 5.2 + -5. Let n be 30\/900*20\/(-8). Which is the closest to d? (a) -4 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1*1 - -29. Suppose 2*p - 30 = -0*p + 2*k, -3*p = 5*k - v. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-18)\/(-216)*8\/(592\/3)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5009 + -5026)*-16*(-15)\/(-51).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1573) - (sqrt(1573)*-1 + sqrt(1573))**2) + 0) + 3.\nAnswer: -33*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 37*l**2 + 101*l + 4. Let x be h(3). Put -4, x, -7, -14 in descending order.\nAnswer: x, -4, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 3*v)*(-v - v + 0*v) - 2*v**2 + 2*v**2 + 2*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-6)\/(-4)*-2. Suppose 0 = -4*w + n*d + 244, 5*d - d = w - 76. Differentiate -2*l + 55 + 3*l - w with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1043 - -3313. Let y = c - -361. Suppose -6*x + 3*x + y = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*1)\/sqrt(8) + sqrt(35) + (sqrt(350)*1 + sqrt(350))\/sqrt(10))\/(sqrt(120)\/(sqrt(36)\/(2*sqrt(6)) + sqrt(6))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 3, c: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)\/q)**(-40))**2 assuming q is positive.\nAnswer: q**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + 3 + -3 + 4*(sqrt(704) + -2)*1)*-3.\nAnswer: -96*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11359, 10390, 8787, 6550, 3679?\n\"Answer: -317*n**2 - 18*n + 11694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 1. Let v(n) be the first derivative of n**4\/4 + 3*n**2\/2 + 5*n - 3. Let l(q) = -h(q) - v(q). What are the prime factors of l(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1202*m**2 + 13099*m - 52. Determine y(-11).\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/7 - 329302788*k\/7 + 13555040773071618\/7 = 0. What is k?\nAnswer: 82325697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 19*c + 46 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 12:33 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60545 is divided by 1483?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/415, -1, -2\/9, -4\/5, 11696?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -435, -1705, -3791, -6669, -10315, -14705?\n\"Answer: 4*w**3 - 432*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a = 43*a - 56. What is the fourth biggest value in -5, 0.2, -3\/4, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/19))**(-47)\/(v\/v**(-3\/34)*v*v\/(v**23\/v)*v*v*v) assuming v is positive.\nAnswer: v**(-23279\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 12 = 3*t, -6*t - 19 = 2*u - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125064, -125628, -126190, -126750, -127308?\n\"Answer: h**2 - 567*h - 124498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3863.9628 rounded to zero dps?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 352800 a multiple of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7096?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/10676986 and 123\/28810?\nAnswer: 53384930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 4*t + 1. Let q be j(6). Suppose -d = -w - 19, -3*d + q = 2*w - w. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 13 = -4*n, -4*t + 4*n + 18 = -6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1108887 or 11?\nAnswer: 1108887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**3 - 4*x**3 + 5*x**3)*(390*x + 1 - 390*x - 10*x**2 - x**2 - 2 + 2 + (2 + 3 - 3)*(-x**2 - 3*x + 3*x) + x**2 + x - x).\nAnswer: 84*x**5 - 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-31)*(v*v*v**(-16\/5))\/v assuming v is positive.\nAnswer: v**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 8*x**2 + 3*x. Let o = 70 + -65. Let h be p(o). Calculate the greatest common divisor of h and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -279. What is the remainder when m is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675 - 602 = 73*r. Is r greater than or equal to -85\/186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 730 = -802. Suppose -109 = p*f - 133. Solve 4*d = -f*n - 4, 3*d + 3*n + n - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4397 + 6*q**3 + 4426 - q**3 - 8823.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -2. Calculate the smallest common multiple of 2 + (-2 - -9) - 2 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3307421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1697 + -753. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y = 18*y + 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.41952621 to 3 decimal places.\nAnswer: 20.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98761 is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.634593 millilitres to litres.\nAnswer: 0.009634593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 21*q - 34. Let m be w(-8). Solve 0 = -y - 4*d + 21, 8*y + 5*d - 30 = m*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/52 and 139\/60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 - -0.69. Let y = n - -0.11. Let t be 35\/(-28)*5 + 5. What is the nearest to 2\/5 in -1, y, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -268 in 3\/4, 4, 2, -0.3, -0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 17*q + 27. Let f be o(7). Suppose 281*k - 276*k = f. Calculate the highest common factor of k and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w. Let i(u) = -u**2 + 8*u + 12. Let f be i(9). Solve -5*p = f*x, p - 28 = -w*p + 5*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10075*d - 10150*d = 75 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 85231787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 3*i**2 - 4*i + 4. Suppose -20 = 3*d - 2*y, -2*d - 11*y + 12 = -6*y. Let b(s) = 3*s**3 - 3*s**2 + 5*s - 5. Give d*b(f) - 5*q(f).\nAnswer: -2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17*(-2 + 9\/3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 0*h**2 - 4*h**2)*(16*h**2 - 8*h**2 - 27*h**2).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 3\/5, -35138, -0.5, -1\/6, -0.4?\nAnswer: -35138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*r - 20, 5*r - 2 = -3*v + 18. Solve 5*l = -a - v + 11, -5*a - 32 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -20*v**2 + 43*v - 14. Let c(i) = 7*i**2 - 15*i + 5. Let n(x) = 17*c(x) + 6*y(x). What is n(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*p**2 - 19*f**3*p - 43279*f**2*p**2 - 30133*f*p wrt p?\nAnswer: -8*f**3 - 86558*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-24)*(-36)\/(-24)*4?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/3 - (-3 - -3). Let t be 5 + g - (-1 - -8). Put 4, t, -3 in decreasing order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2042 = -3*r, 4*r + 3 = 7. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 29*a - 10. Let x be p(6). Is (-6)\/(-30) - (-1716)\/x - 1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14, -5, -84, 1\/4, 0.2, 11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*q - 20, 18*d + 14 = 13*d - 3*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 2. Suppose -3*j + 19 = 5*y, -y + 3*y - 20 = 5*j. Let l be p(j). Factor -b**2 - 2*b**4 - 2*b**3 - b**4 + 2*b**2 + l*b**4.\nAnswer: b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 3}. Give prob of sequence xkxk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*f + 193*f - f**2 + 193*f - 581*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*f - 9. Suppose -f = 2*c - 4*c. What is the derivative of 1 - 2 - 15*n**3 + n**c wrt n?\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**4 + 8*g**3 - 6*g**2 + 2*g - 6996?\nAnswer: 204*g**2 + 48*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 17 + 5. Let k = 2 - b. Calculate the remainder when 36 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-25)*(-637)\/819.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -596003 (base 10) to base 2.\nAnswer: -10010001100000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.82646ml to litres.\nAnswer: 0.03982646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -49*r - 6. Solve -2*j = 5*g + 9, -4*j + r*j + 9 = -2*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -277*p + 2999. Determine q(12).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5293\/95 + -277\/5. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. What is the remainder when 11 is divided by -6*z\/(-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 2*b**2 - b + 6. Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5670 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6 rounded to zero decimal places?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 13*x + 3. Suppose -4*l + 6*l = 2*g - 6, -4*l - 24 = -g. Let u(m) = 17*m - 2 - 11*m - 4 + 14 - 7. Calculate l*u(o) + 3*b(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-143)\/65)\/11*-155)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 3. Let x(k) = -k**2 - k - 1. Suppose 2 + 14 = -16*l. Give l*t(f) - 3*x(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 12*y**3 - 8*y**2 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -28, -48, -72, -100?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 3*w**2 + 0*w**2)*((2*w + 1 - 1)*(-4 + 1 + 4) + 6*w - w + 3*w + (2 - 3 - 1)*(w - 2*w + 2*w) - 1 + 1 - w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:13 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*20\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2. Suppose -5*b + 91 + 214 = 0. Let a(j) = -b*j**2 + 22*j**2 + 25*j**2 + 29*j**2. Calculate c(a(p)).\nAnswer: 1575*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 4 + 2 + sqrt(2448) + sqrt(2448) + sqrt(2448) + 2 + sqrt(2448) + sqrt(2448) + 0)*-2 + 3)**2 + 4.\nAnswer: 3744*sqrt(17) + 352685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451\/735 + -2\/147. Let l = -0.01835 - -0.51835. What is the closest to -3\/10 in l, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.8 (b) 947 (c) -6 (d) -3 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4145109+18468310\nAnswer: 14323201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(325) - sqrt(13)) - sqrt(26)\/(sqrt(4)\/sqrt(2)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820347 < 2820358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53135391.\nAnswer: 3, 139, 127423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 - 12*j + 112 = 0.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**3 + 9*f**2 + 11. Let b(n) = 4*n**3 + 4*n**2 + 5. Give -7*b(o) + 3*z(o).\nAnswer: -4*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 9*g**2 - 12*g + 20. Let v be t(10). Suppose v = -a - 20 + 69. Suppose 2*z - a = 33. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m. Let y(i) = -15*i**2. Give y(h(u)).\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486437 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*z - 22 = 0, 5*x + 4*z + 12 = -0*x. Let p(h) = h + 1. Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(38 + ((-1748)\/(-19))\/23).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20505 and 51.\nAnswer: 348585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 12. Suppose q = 11*p - 7*p. Suppose -p*d = -14*d + 5. Solve -i - 3 = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and 35\/5657683?\nAnswer: 11315366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*f**6 + 27*f**2 - 23*f**6 - 248*f**6 wrt f?\nAnswer: -36840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*q + 17 - 23, -q - 8 = -3*j. Let b(p) = -2*p**3 + 2*p**2 + 6*p - 4. Let r be b(j). Solve r*m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 5. Let i = h - -0.3. Let z = -0.4 - i. What is the third smallest value in 2, z, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 190, 864.\nAnswer: -4, 0, 190, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i - 309. Let s be x(34). Let j(f) = f**3 + f**2 - f. Let u(n) = -5*n**3 - 5*n**2 + 2*n + 5. Give s*j(t) - u(t).\nAnswer: 2*t**3 + 2*t**2 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)*(-100 + -3). Suppose -2*o + 28 = 2*i, 5*o + 9 = i + c. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -u - 0*u. Let k be (16\/u)\/(6\/(-165)). What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/14 + (-2)\/7. Let b(r) = -n - 3*r + 0*r - r + r**2. Let i(s) = -3*s - 1. Let a be i(-2). Calculate b(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.03. Let y = d - 5.03. Let r be 15\/25 - 2\/(-5). Put r, 0.4, y in descending order.\nAnswer: r, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191420331 rounded to seven decimal places?\nAnswer: 0.0019142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -184092875 + 1?\nAnswer: -184092874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - -3 - ((-30 - -60) + -49)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and 89\/6252744.\nAnswer: 68780184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/((-12)\/40). Solve h*i - 5 = 4*u, i + 2*i = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 33*d + 103. Let x be l(-3). Suppose -x*v = -12, -3*s - v - 3*v = -31335. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(9\/5)\/l))\/l**(-15))\/(l\/(l**(2\/7)*l*l))**(-2\/63) assuming l is positive.\nAnswer: l**(3714\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 24457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 23815.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1\/5 (b) 1\/3 (c) 0.4 (d) -0.1 (e) 394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 97*d - 35 - 180.\nAnswer: -97*d - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 + 214 + 52*f**2 + (5*f - 3*f - 3*f)*(2*f + 2 - 2))*(-6*f + 6*f - 10*f).\nAnswer: -500*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00363563177 to five dps.\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 7251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 - d + 2*d - 7*d**2. Let l be x(1). Suppose 5*g = 7 - l. What is the closest to -0.1 in -0.5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 5*a - 4. Let k(d) = 2*d**2 + 9*d + 9. Let y(v) = 3*k(v) + 5*u(v). Is y(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10174295 is divided by 2557?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u**2 + 51*u + 37. Let f be x(-6). Let h(y) = -y - 1. Let m be h(-6). Is 20 a factor of f - (m - 2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-8)\/(-2) + -6). Let w = 12 + v. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:58 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 3*y - 2. Let r = 374 - 379. Let h(z) = -2*z**2 - 3*z - 3. Determine r*x(o) + 4*h(o).\nAnswer: 2*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3258, -13065, -29486, -52587, -82434?\n\"Answer: -11*n**3 - 3241*n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 200. Suppose 0 = 3*l - 5*l + 82. Let g be (-10)\/20 - l\/(-2). Calculate the highest common factor of g and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.601? (a) -0.3 (b) 0.08 (c) -3 (d) 2\/9 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 + 197 + 2813*t**3 - 612 + 206.\nAnswer: 2813*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/44)\/(6\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 108 = 130 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -593 + 595. Suppose -3*u + 3*r + 626 = -r, -3*u = -t*r - 628. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8915 times -0.5?\nAnswer: -4457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18176 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/88*(-1122)\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15700479 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2724 + 8.2724. Which is bigger: -53 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-50 + 2 + -18 + 24. Let m be (-637)\/14*(0 + 2). Is m at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 6036830?\nAnswer: 6036833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1977, -1982, -1991, -2004, -2021, -2042, -2067?\n\"Answer: -2*w**2 + w - 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -81e755?\nAnswer: -81e75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84216 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 6. Let x(g) be the second derivative of g**2\/2 + 2*g. Let k(a) = -a**3 + 7*a**2 + 8*a + 6. Let m be k(8). What is m*x(u) + s(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 12*k**2 - 12*k + 13. Let s be o(11). Let f(w) be the second derivative of w**4\/12 - w**3\/3 + w**2\/2 + 6*w. What is f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53967.\nAnswer: 3, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.291485 millilitres?\nAnswer: 0.003291485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 2. Calculate f(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 478\/5 + -95. Suppose -w = 11*w. What is the closest to 4 in w, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -12. Let x(v) = -4*v + v**2 + 2 - 2 + 3 - 1. Give x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/600*(28\/(-24))\/(210\/(-270))?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 39. Solve s = -2*j - 0*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1456568 + -1?\nAnswer: 1456567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 68104*s**2\/3 + 1148910509*s\/3 - 362736843190\/3.\nAnswer: (s - 310)*(s + 34207)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940606.\nAnswer: 2, 970303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = -3*q, 8*q + 16 = 3*k + 4*q. Suppose -j - 4 = -0*j - 2*m, -3*m = 4*j - 17. What is the units digit of (6 - (k - 0)) + j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 2, u: 1, n: 2, k: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + g)*(-2 + 2 - 2*g**2)*(g - 5*g + g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.7478 to the nearest integer.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -329 - -b6595?\nAnswer: b626a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 - ((-111 - -116) + 7 + 0 + 1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3435, -3433, -3441, -3465, -3511, -3585?\n\"Answer: -k**3 + k**2 + 6*k - 3441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-5) + 2 - (-4 - (-16695)\/3850)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288353497?\nAnswer: 11, 13, 353, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (8 - -2) - (30 + -22 + 70)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -161075375 - 4?\nAnswer: -161075401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1396148 divided by 1396148.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + (sqrt(1200) + -1)**2)*-6.\nAnswer: -7206 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 7007.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, 0.41, 0.452?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*i = -17, 2*i + 2*i - 11 = h. Suppose -2*w + 815 = h*v - 4*w, -2*w = 5*v - 835. Suppose 3*j = -0*j + v. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 797*i**3 + 7367 + i**2 + 3365*i**3 - 3*i**2 + 2*i**2 wrt i.\nAnswer: 12486*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 times -1575?\nAnswer: 40.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/3062384 and 73\/3827980.\nAnswer: 15311920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13820 = -3*i + 23629, -l + i + 12473 = 0. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 4*x**3 - 4 + (10 - 20*x - 10)*(0*x**2 - x**2 + 2*x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 10) to base 2.\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40378.\nAnswer: 2, 13, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/39 + -89\/208. Find the common denominator of i and 121\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 113120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - 2*r. Let w(k) = 37*k**2 - 10*k - 6. Calculate 5*n(x) - w(x).\nAnswer: -2*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/(-1218)*-40)\/((-4)\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 112 - -38 - -20\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - -7) + (26 - (22 - 15))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 72*w**3 + w**2 + 3*w - 7. Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*w - 3 = -2*w, 9 = 2*f + w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.08, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -20) + 14 - 20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 178248?\nAnswer: 178244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 54*t**2 - 74*t + 7131. Calculate the lowest common multiple of l(55) and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -24*x**3 + 3*x**2 + 2*x - 2. Let t(m) = -47*m**3 + 7*m**2 + 5*m - 5. Determine 7*s(j) - 3*t(j).\nAnswer: -27*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*r + 1, 2*r + 7 = 5*a. Let k = 9\/46007302 + -286785365\/913872317. Let g = k - 1\/506. Which is bigger: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41590*f - 614539 + 614539 to the form j*f + m and give j.\nAnswer: 41590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -56109 bigger than -56109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*g + 34 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) -22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**3 - 4*v**2 - 4*v. Let h be s(-2). Let o = h + 74. Calculate the remainder when 10 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Let d = -128 - -153. Calculate the remainder when ((-90)\/d)\/((-2)\/10) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.16 - 37\nAnswer: -34.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(-9) + -2 - 20\/990*11. Let o(w) be the third derivative of 30*w**2 + 0*w + 0 + 1\/30*w**a - 1\/75*w**5 + 4\/15*w**3. Factor o(c).\nAnswer: -4*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4587 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 + -171. Calculate the highest common factor of 903 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011101110100110000 (base 2) to base 11.\nAnswer: 570703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 44, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -g - 1, 4*g + 2*v = -3*v + 13. Suppose -g*d = d. Suppose 2*t = -d + 8. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2\/2 + j - 458. Let i(u) = 19*u + 2. What is -i(k) + 2*m(k)?\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(-20*g**4 + 16*g**2 - 224*g**4 - 17*g**2) as y*g**3 + u*g + t*g**2 + k*g**4 + z and give k.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340 divided by 5?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 0. Let h(v) = -4*v**2 + 1 + 5*v**2 - v**2 + v**2. What is h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + u + 188 = -u, 458 = -5*o + u. What is the remainder when 91 is divided by (o\/12)\/((-2)\/6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - 14*m + 12. Let v be x(6). Calculate the remainder when v\/(6\/3) - -63 is divided by ((-60)\/5 + -1)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + p - 34 = 0, v = 4*v + 3*p - 54. Let z be (4\/6)\/(2\/9). Suppose -i - z*i = -v. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14313, 15108, 15927, 16782, 17685, 18648?\nAnswer: 19683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.74709146*-0.1.\nAnswer: 0.374709146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/540 and (75\/700)\/((-810)\/(-3115)).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 19*o**2 + 24*o + 6. Let t be s(8). Let m(k) = -1. Let q(w) = 10*w - 7. Determine t*m(d) - q(d).\nAnswer: -10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 2*k, 4*k = r. Suppose 12*s - r*s - 952 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004817134 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 + 1 + -2. Let c = -14329699\/747 + 19183. Let u = -247\/747 - c. What is the closest to 3 in q, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/150 and -137\/54924.\nAnswer: 1373100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(15\/(-33)) - -2. Let x be z*((-20)\/6)\/5. Let h(s) = s**2 + 4*s - 3*s + 3 - 7*s. What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 100?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3678962 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 0.07, -0.3, -1719, -2, -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloulloojuuoiul. Give prob of sequence ou.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - j**2 + (j - 4*j - 3*j)*(0*j + 4*j - 2*j).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2148716945.3508 + -2\nAnswer: 2148716943.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*w = 8, -2*w = -x - 3*w. Let l(s) = 6*s - 1. Let u(k) = -6*k + 1. Let o(m) = 4*l(m) + 5*u(m). Let v(i) = 7*i - 1. What is x*v(r) + 5*o(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/13)*n)\/((n*n**(-5\/11)*n*n)\/n)*n**(-4\/17)*n*(n**(-4)*n)\/n assuming n is positive.\nAnswer: n**(-6386\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b1 (base 14) in base 2?\nAnswer: 110000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41195 and 21567455?\nAnswer: 237242005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17279 = 142*s - 18273 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1191428 and 22134?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/600 and (-23055)\/5300*4\/(-6)*1?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-1)\/(-6))\/((-5)\/(-165)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-1)\/(-2) + 1). Suppose 3*v = -c*z + 192, z - 30 - 31 = 2*v. Suppose -189 = -5*r - 22*r. What is the greatest common factor of r and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-8)\/40 - 0\/(-1). Sort -3, -6, 3, a in descending order.\nAnswer: 3, a, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70506\/12*1 + (-6 - (-55)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 3, j: 5}. What is prob of sequence fjjo?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1 (c) -4 (d) 3\/8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**4 + 4*u**3 - 43*u - 3. Let k(c) = -23*c**4 + 11*c**3 - 130*c - 8. Let m(x) = -4*k(x) + 11*n(x). What is the second derivative of m(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -2*c**3\/3 + 7*c**2\/2 + 141*c - 2. Give a(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geewgbgeegeg. Give prob of sequence ew.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 184416 = -10*r + 6*r. List the prime factors of r.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -23 - -10) + 2 + -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 228?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 234413.5 millilitres in litres?\nAnswer: 234.4135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y - 134. What is the tens digit of m(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 33185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -2\/5 (b) 0.3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(147)*3 + 2) + 3 + (sqrt(147) - (sqrt(147) + -3*sqrt(147) + sqrt(147))) + -3 + 2 + 0.\nAnswer: -28*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -0.7715?\nAnswer: -0.2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((299\/(-65))\/23)\/(4\/8). What is the third smallest value in y, 0, -2\/17, 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/40)\/(20*12\/(-2600))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13630b20 + 2?\nAnswer: -13630b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + s = 10, -3*j + 2*s - 25 = -9. Let w be j - 9\/(-1) - 5. Is 4 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + h + 98 = 0, 2*z + 3*h = -0*z + 80. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831*y - 904*y - 5*y**2 + 3*y**2.\nAnswer: -2*y**2 - 73*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -30. Suppose 0 = h - 0*h - 2. Suppose -2*x + 3*b - h*b + 15 = 0, -45 = -4*x + 5*b. Solve -5*n + 5*r - x = c, -3*n + 4*r - 3 = -0*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1672, -0.038, 2, 0.5, -3\/7, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 - 5*r. Let j = -13 - -9. Let v be i(j). Suppose -2*t + 0*t = -4. Solve 0 = v*x - 6*x + t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7362 is divided by 189.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*u = 293*k + 281, 4*u - 10 + 1 = -8*k + 5*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**2 + 4\/3*f**3 - 2 + 0*f + 1\/2*f**4. What is the third derivative of g(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770494 to the power of 1\/2, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14743533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 4, o: 2, g: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + z - 6 - 3 - 5 - 3.\nAnswer: z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 37991 - 2170*f - 37991 as m*f + q and give m.\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7790254 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Let k be ((-53)\/(-3))\/(1\/s). Suppose -n - k = -4*h, -2*n + 2 = 3*h - 2*h. Calculate the remainder when 34 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/7801?\nAnswer: 2\/7801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 14522*a\/3 - 145420\/3.\nAnswer: 2*(a - 10)*(a + 7271)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-162) - ((-4)\/10)\/((-765)\/425).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 8*g - 190. Let w = 21 + g. Suppose w = o - b - 11, -o - b = -72. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 0 - 2*x**2. Let s(a) be the first derivative of -3\/2*a**2 + 0*a - 28. Determine g(s(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101001 - 10?\nAnswer: -11000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(19239\/99)*1\/(-3)*-20?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 192.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.03?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -877*y + 883*y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023.5795 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: (1\/(8\/(-2)))\/((-126)\/360)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38821378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -0*s. Let m(t) = t + 1. Let v be m(s). What is the highest common factor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (89 + 87 - 235)*(-2*q + 3 - 3)*(3 + 1 - 2) as d + s*q and give s.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*3\/(-5) - (3 - 1). Which is the closest to k? (a) 0.3 (b) 4 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40 and 3891672.9.\nAnswer: 3891632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*b + 13581 - 13549, 5*y - 10*b - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21054382 and 1255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 186, 1608, 3856, 6930?\n\"Answer: 413*b**2 + 183*b - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2836\/70)\/(2520\/61850). Let n = 8954\/9 - h. Find the common denominator of n and 23\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14067 + 21507. Is 39 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(527\/(-31))*(-16)\/(240\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8694148 kilometers in meters?\nAnswer: 869.4148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -746*o**4 + 812 wrt o?\nAnswer: -2984*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6*z - 3. Let g be b(5). Solve g*l - 5*x = 11, -6*l = -l - 5*x - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-196)\/42 - (-2)\/3. Sort h, 3, 0 in increasing order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:51 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 40. Let j be ((-6)\/b)\/((-15)\/(-12)). Which is greater: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204209827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3278, -3270, -3258, -3242, -3222, -3198?\nAnswer: -3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/11, -0.3, -6441\/2, -8, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1385, -1389, -1393?\n\"Answer: -4*o - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.042 + 0.02. Let s = l + 0.04. What is s rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 + 42 + -10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 - 40*l + 16*l + 22*l - 2*l**2. Let a be o(3). Let r = 24 + a. Solve -5*i + 4 = n - 3, -r*n + i + 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 298*k*z**2 + 521452889*k*z - 368045*z**3 wrt z?\nAnswer: 596*k - 2208270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45756821.\nAnswer: 11, 23, 83, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14934 - -21912. Let n = a - 64846. Round n to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721104887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4988.47 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 + s**4\/8 + 29*s**3\/6 - 51*s**2. Let z be l(-6). Is z < 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.78, 2\/3, 2234, -3 in descending order.\nAnswer: 2234, 1.78, 2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 2 n when four letters picked without replacement from {z: 8, f: 4, n: 8}?\nAnswer: 896\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2 (c) 0 (d) -5 (e) 0.06 (f) 2\/271\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/151 - 312\/755. Suppose 2*z + 5*a = -631, -5*z - 469 = a + 1074. Let k be 6\/(-33) - 2\/z*-16. What is the biggest value in 1, x, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -12. Is (y\/(-6) + -6)*3274\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 28829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 58750261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:35 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 - 12*y - 13. Does 21 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -201 - 2*r**2 - 180 - 175 + 558. Let l(a) = a - 95. Give l(f(i)).\nAnswer: -2*i**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(3\/5))*b*b**(-5)\/b)\/(b**14*((b\/(b\/((b\/b**3)\/b)))\/b)\/b) assuming b is positive.\nAnswer: b**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -2*s + 488. What is the greatest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q - 44*q + 11*q + 16*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) + 27\/4. Let q(r) be the third derivative of -r**5\/60 + 3*r**4\/8 - r**3\/2 + r**2. Let x be q(a). Solve -4*j - p = -x, -2 - 20 = -5*j + 2*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*(((s**(3\/5)*s)\/s)\/s*s)\/s)\/s*s**(2\/7)*s**(-2\/7)\/s**4 assuming s is positive.\nAnswer: s**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -66021\nAnswer: -4\/66021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 50*w - 100. Give j(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(4\/15)\/o*o*o)\/o)\/o**25 assuming o is positive.\nAnswer: o**(-341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 7*o - 2. Suppose -3*i - 5*l - 5 = 25, -l = i + 8. Let k be d(i). Let m = -1 + k. Calculate the smallest common multiple of 5 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6\/9*(-1)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5359 is divided by 892.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 300\/(10\/2) - (-24)\/(-8). Suppose 2*v - t = 1109, 3*t + x - 60 = 0. Is v a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 784822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**(2\/19)*(a*a*a**(3\/5))**(-3\/4) assuming a is positive.\nAnswer: a**(-6589\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 13 - 2*f + 12*f - 4*f. Let y be x(-7). Let s be (4\/(-3))\/(y\/30). Solve -5*b - h = 10 + 19, -4*b + s*h = 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14.1, 2, 0.3, -0.0566?\nAnswer: -0.0566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 450000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11313 + 11?\nAnswer: -11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 2*o**2 - 5 + 12*o - 2*o - 1. Let m(r) = -r**2 - r + 1. Let a(s) = 10*m(s) + q(s). Differentiate a(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/8 - (-5)\/20. Let r(d) = 6*d - 3*d - b*d. Let q(y) = -7*y. Determine q(r(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 18*m**3 - 9*m**3 + 5*m**2 - 5*m**2 - 8*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -6 (c) 2 (d) -10.311 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/(h*(h\/h**(-7))\/h))**(3\/4)\/((h*h\/h**(-1\/4))**(-1\/18)*(h*h**2)**(-48)) assuming h is positive.\nAnswer: h**(5519\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341\/6 + -57. Which is the closest to -0.2? (a) -0.3 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:49 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 103*w**2. Let c(p) = -8*p + 3. Let h(d) = 6*d - 2. Let s(o) = 2*c(o) + 3*h(o). Calculate s(y(j)).\nAnswer: 206*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from eexxexeexxr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -220140.80625 minus 0.09481?\nAnswer: -220140.90106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 87. Suppose m*w + 3*w = 24. Find g such that -76*g**4 + 80*g**4 + 4*g - g**3 + 9*g**3 + 12*g**2 + w*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + 2*l**2)*(7*l**2 - 2*l**2 - 3*l**2)*(2 + 0 - 1 + (-6 + 3 + 1)*(1 - 3 + 0)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t - 4*j - 0*j, j - 27 = -5*t. Calculate the remainder when 14 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69522 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2 - 3*d - 27 + 7*d - 3. Let m be v(8). Solve -5*s = -m + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20 = m - 5*m, 0 = -2*m + 5*n - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + 0.2. Let w = -4 - g. Let z = w - 0. Which is the second smallest value? (a) 1\/5 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907476626?\nAnswer: 2, 7, 17, 61, 62507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -1.2, 1 in increasing order.\nAnswer: -1.2, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*f = 255*f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z - 2. Let v be 132\/30*(-1 + 6). Let m = -20 + v. Let t be j(m). Solve 3*r - 4 = 4*f, -t*f + 5*r - 15 = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 0.5. Let q = 5 + w. Let r = 12 + -11.6. What is the closest to 2\/5 in r, -1, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + 762295?\nAnswer: 762302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - -0.23. Suppose 3*j = -s, j + 4 = 5*s - 12. Which is the nearest to j? (a) -2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143594635, 143594629, 143594613, 143594581, 143594527?\nAnswer: 143594445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**3 - 112*j**2 - 184*j + 8. Let k(c) = -4*c**3 - 38*c**2 - 61*c + 3. Let w(h) = -8*k(h) + 3*x(h). Determine m so that w(m) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/(-1482) + 3\/(-23) + 108069\/594711?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 87 + 7 = 0. Calculate the least common multiple of 5 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6906106544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8659, 8660, 8661, 8662, 8663?\n\"Answer: g + 8658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2. Let v(y) = 2*y. Suppose 0 = 5*j + 15, -j + 2 = 5*s - 0*j. Let p be v(s). Let r(f) = 2 + 7 - 9 - p*f. Determine r(i(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6101626*g**3 - g**2 + 11852787 wrt g.\nAnswer: 18304878*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - b - 70 = 0, -r + 5*b - 14 = -2*r. Let z = 158.02 + 3.98. Let j = 165 - z. Sort 1, r, j in increasing order.\nAnswer: 1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f8451 (base 16) in base 11?\nAnswer: 635027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1\/24*(-5)\/((-175)\/98)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Let i = 2 - 4. Let o be i\/(-4) + 47\/2. What is the highest common divisor of w and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024840016 to five dps.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3345717 + 813638 = -11*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**4*d)))\/((d*d**(1\/2)*d)\/d))\/((d\/((d\/(d*d**(-1\/5)))\/d*d))\/d*d**2\/d) assuming d is positive.\nAnswer: d**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*2590.\nAnswer: 259000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(((l*l*(l*l*l*l\/l**(-4\/7)*l)\/l)\/l)\/l*l)))\/l)\/l**(-1))**(15\/4) assuming l is positive.\nAnswer: l**(585\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 28439?\nAnswer: 28446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**2 - 16*m**2 + 15*m**2 + 5*m wrt m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15 - (-20 - -17)) - -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10481408.\nAnswer: 2, 7, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/204)\/(16\/252*(-42)\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/((-1989)\/(-1156)) + 35?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(96)\/(2*sqrt(72)).\nAnswer: sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + 5*h, -2*h = -5*w - 5 + 1. What is the third derivative of v**2 - 4*v**5 + 5*v**5 + w*v**2 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p*p)\/((p\/p**6)\/p)*(p**(-3\/2)*p)\/(p**5\/p))**(2\/7) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 11067.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**4 - 1277187*u**3 - 225115034*u**2 wrt u.\nAnswer: -120*u - 7663122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -7. Let b(o) = 4*o - 3. Let y be b(2). Let p be (0 - -6) + x\/y. Solve 5*q - 1 = -4*d, 13 = p*d - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 7:01 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -31. Suppose s = -5, -5*o - 3*s = 12 - 7. Suppose q - 5*j = -2, q - 62 = -2*q - o*j. What is the greatest common divisor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*u - 123*u + 2*u**2 - 30*u + 77*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (-1 + 3 - 3)*(91 + 74 - 102))*(-1453*f - 1448*f + 46 + 2902*f).\nAnswer: -62*f - 2852","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.4 - -26.3. What is i rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*d*i + a**2*d + 3*a**2 + 2*a*d + 430246*a*i + 2*a - 327*d + 2*i wrt i.\nAnswer: -a**2*d + 430246*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1709890 and -113\/1025934.\nAnswer: 5129670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t = 0. Let u = 8 + -9.2. Let f = -0.9 - u. Which is the nearest to t? (a) 0.4 (b) f (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -191165 or -191163?\nAnswer: -191163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/238370 and -113\/108350?\nAnswer: 1191850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152836807?\nAnswer: 3, 11, 7129, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 greater than 25813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 119 + 101 = 0. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2344203 + 1103?\nAnswer: -2343100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -16, -11, -4, 5?\n\"Answer: v**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19) + sqrt(19))*-5 + -4)**2.\nAnswer: 380*sqrt(19) + 2261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88287 or -88288?\nAnswer: -88287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-603)\/(-117) - 4 - 4\/26. Let g(h) = -6*h + 1. Let a(f) = 265*f + 128. Let b(q) = l*a(q) + 4*g(q). Find the first derivative of b(v) wrt v.\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 o when four letters picked without replacement from {o: 4, k: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22123 - 10?\nAnswer: -22133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7370)\/5390*-49)\/(-1 + 3 - 3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:16 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*k + 174 - 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/6)*m**(-4)*(m*m**(-1))\/(m\/m**9))\/((m**(1\/7)*m)**8)**(-10) assuming m is positive.\nAnswer: m**(3973\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116.2 + -22.8. Let f = w + 124. Which is smaller: -6\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -30*o**2 - 169*o + 2132. Calculate f(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y - 61*y - 67*y - 2*y**4 - 2 + 250*y**3 + 152*y in the form v*y + s + b*y**4 + z*y**2 + c*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-z**5 - 708 + 708 + 60*z**4).\nAnswer: z**5 - 60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:59 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539 + 536. Let y = -1.04 + 0.04. What is the third smallest value in g, -0.3, y, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 a factor of 2798644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (3 - (2 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17983000 to the nearest 100000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2 + 89*j - 570 = 0.\nAnswer: -95, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 12 = 19*f. Let u be (-9 + (-104)\/(-16))\/(f\/4). Solve -3*p - u = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 292.305?\nAnswer: -9061.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + 1 + 0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 9 + 3, -4*l - 4*s + 8 = 0. Which is smaller: 2\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 9*k + 360. Let t(p) = 13*p**2 + 5*p + 4. Calculate the remainder when t(-3) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13470*v**3 + 2*v**2 + 144*v + 234891691 wrt v?\nAnswer: -40410*v**2 + 4*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21032430240 rounded to the nearest 1000000?\nAnswer: 21032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 + v**2 + v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001011 (base 2) in base 9?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -29*r**2. Let j(f) = -2*f + 5. Let c(z) = -2*z + 4. Let t(w) = -5*c(w) + 4*j(w). Calculate n(t(v)).\nAnswer: -116*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:49 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 6.24?\nAnswer: 12.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 > 7661.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-56) - 8\/(-756)*51.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4100.978.\nAnswer: 12302.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v - 65 = -68*v. Calculate the greatest common factor of v and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-84)\/(-15)*(-50)\/(-4). Suppose 7*d + 210 = 9*d - 4*c, 2*d - 210 = 5*c. What is the highest common factor of d and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780185263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.83. Let w = h + -0.9. Let j = -8463.9 - -8464. Which is the closest to j? (a) 5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 8\/3*g**3 + 1\/4*g**4 + 4*g**2 + 6*g - 4. What is f(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-8 - (0 + -15 + 8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 - 5*h + 5. Let p be c(-6). Let d = -15 + p. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6\/11)*b**(-10))**(1\/9) assuming b is positive.\nAnswer: b**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27) - sqrt(3) - ((-2*sqrt(243))**2 - sqrt(243)).\nAnswer: -972 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 41*r - 163 = -1828. Let m(z) = -6*z**3 - 2*z**2 - z - 2. What is the remainder when r is divided by m(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c + 8. Let f(z) be the first derivative of 3\/2*z**4 + 0*z**2 + z + c - 1\/3*z**3. What is f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 0.4 (c) -0.1 (d) 1\/6 (e) 2\/33 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25645 divided by -197\nAnswer: 25645\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 202420 divided by -20242\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15114138 to the nearest integer?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11075833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013949387 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b. Let f be (1 - -26)\/(1\/1*1). Let p(w) = 18 - 2*w + 9 - f. What is p(y(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 2?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 7. Let p(c) = 2*c + 2. Let i(q) = 2*k(q) + 7*p(q). Let x(o) = -21*o - 1. Give x(i(a)).\nAnswer: -42*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2866 * 0.3.\nAnswer: 0.08598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 12*i - 976. Let o(y) = -2*y. What is p(o(n))?\nAnswer: -8*n**2 + 24*n - 976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7836 and 18369543?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/5, 3, -4, 4, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**4\/6 + 3360*h. Let c(z) = -15*z - 19*z + 10*z. Calculate c(d(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -30449 and -30448 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**4 - 3*h**5 - 6*h**4 + (14*h**2 + 189 - 189)*(-h**3 + 106*h - 106*h + 2*h**2).\nAnswer: -17*h**5 + 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**5 - 12*t**4 - 88*t**3 + 296*t**2 - 300*t + 100 = 0?\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 9. Let f be p(-2). Let w be (f\/(-6))\/((-10)\/(-20)). Solve -3*t - t = r + 17, r = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 21*p = -35. Put -3, 0, p in decreasing order.\nAnswer: 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5056 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -304?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649845 + 180138 = -g - 5*d, -5*d = -4*g + 1878778. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 8. Let t(h) = -h**3 + 1. Let x(v) = 2*t(v) + y(v). What is the first derivative of x(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyiygjyzjymmy. Give prob of sequence imj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 16*q**2 + 15*q + 940. Let f(r) = -2*r**2 - r - 4. Let x(o) = 2*f(o) + j(o). Differentiate x(l) wrt l.\nAnswer: 24*l + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -58, 0.3, 1\/20, 0.2, -1\/4.\nAnswer: -58, -2, -1\/4, 1\/20, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1802 - 7313\/4. Which is smaller: x or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/(-200))\/((-1)\/20). Suppose -f*k = 5*l - 8*l - 19, 5*l + 5 = 0. Solve -2*m + 2 + k = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/75*40\/(-32))\/(3\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4213*i**2 + 5 + 156*i**3 - 158*i**3 - 4213*i**2 - 5.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, m: 2}. Give prob of picking 3 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -700 - 3846*h**2 - 670 + 1370 to the form a*h + u*h**2 + m and give u.\nAnswer: -3846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39299 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2 + 6. Suppose d - 5*h - 22 = 0, -l = 5*h + 6. Let q be (4\/(-30))\/(d\/18). Is q less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + 5*s - 8. Let l(z) = -15*z - 733. Let m be l(-50). Let h(x) = -26*x**2 - 15*x + 23. Calculate m*r(b) + 6*h(b).\nAnswer: -3*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**8\/24 - 4*f**6\/15 + 21*f**3 - 69. Let t(b) be the third derivative of x(b). Find the third derivative of t(n) wrt n.\nAnswer: 1680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 13 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*m = -1704, -1134 = 5*i - m - 3270. Suppose -80*o + 1625 + 1815 = 0. What is the remainder when i is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/17? (a) -2\/3 (b) -1 (c) 1\/11059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2 + 3*d + 1 - 3. Let x(a) be the second derivative of 2*a**4\/3 - a + 22. What is l(x(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/((-1)\/18). Suppose -4*u + u + w = 0, -3*h + 2*u = 8. Suppose h = -o + 2 + 7. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49956 = 100*t - 53456 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*w - 80, 15 = -4*r + r. Suppose f = -0*i - 2*i - 3, 5*i = 5*f - w. Sort 5, 2, i in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -2132?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1007619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/80 and -99\/56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.999 - -8. Let o = -2.901 + u. Let b = 2.8999 + o. Round b to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(208)) + -5 + -2*sqrt(208))*5)**2.\nAnswer: 17600*sqrt(13) + 335825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 9*m**2 - 5. Let s be x(9). Let d(t) be the first derivative of -3*t**2 + 4*t + 1. Is d(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(171) + (sqrt(171) + -1*sqrt(171)*-1)**2 + sqrt(171)) - 1*(sqrt(475)*-2 + -5)**2.\nAnswer: -5345 - 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, 525.6, 10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c + 27*c + 91 - 382 = 0. Solve 18*s = -c - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -3, -12427, -5 in decreasing order.\nAnswer: 10, 2, -3, -5, -12427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m*m*m**7*m)**(2\/29) assuming m is positive.\nAnswer: m**(59\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 63 = -2*m. Let f(k) be the second derivative of 3\/2*k**2 + 0 - 28*k - 1\/3*k**3. Determine f(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 0 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113675\/147693 + -5\/11361. Factor 2\/13*q**2 + k - 12\/13*q.\nAnswer: 2*(q - 5)*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v - 1. Suppose 1 + 17 = -4*y + 2*k, -4*y - k = 3. Calculate p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.54 + -9.54. Which is the nearest to 1\/4? (a) 25 (b) 2\/25 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30130 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -371376?\nAnswer: 11141.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1450131103 + 2?\nAnswer: 1450131105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**2 - 4*h**2 + 2*h**3 - 7)*(3 - 1 + 0) in the form m*h + w*h**3 + a + o*h**2 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/13416)\/(2\/(-80))*(-4)\/(-30).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4\/5))\/(f*f*f**6*f))\/(f**(-2\/3))**27 assuming f is positive.\nAnswer: f**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9 + 7.88. What is q rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72382?\nAnswer: 2, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 16*j + 8*j - 25*j + 10*j**2 - 54*j**2.\nAnswer: -40*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719*i = -1726*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41451879*u**2 + 198549205 wrt u?\nAnswer: 82903758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 48 = 3*j. Let a = 13 - j. Let b(i) = i**3 - 5*i**2 + 3*i - 4. What is the remainder when a is divided by b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -764 - -359. Let u = 13 - 9. What is the smallest common multiple of t\/(-72) - (-6)\/16 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 0.3. Let f = c + -1. Let g = f + -1.6. Round g to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(4 - (-21)\/(-3)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15076804?\nAnswer: 2, 19, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4947 and 5.3838489.\nAnswer: 4952.3838489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:53 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p. Let v(s) = 38*s. Determine v(d(q)).\nAnswer: -380*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 11*q**2 + 10*q + 84. Let o be k(-9). Calculate the remainder when (14*(-16)\/o)\/(1\/6) is divided by 2\/(-5) + (-27)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*c + 4*a - 10 = -136*c, 7*c - 2*a = 67 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15129 and 2284848.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-12)*100\/(-1). Let l = v - -362. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 9673 = 32590. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1588116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s - 72*s + 6*a = 39, 0 = 5*s - 3*a + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and 63922.\nAnswer: 63898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 8 (c) -0.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 1:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 50 = 0. Let w(m) = -m**3 + m**2 + 14*m - 14. Let b be w(3). Calculate the highest common divisor of d and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)**(-12\/11)*((w*w*w*w**(-4\/7)*w)\/w)\/w**5)\/((((w**(-2)*w*w*w)\/w)\/w)\/w**(-1\/3))**(4\/3) assuming w is positive.\nAnswer: w**(-1544\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.977 + 0.023. Let t = -26 - n. Is t greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 1793*y - 2647. Let v(f) = -4*f**2 + 1793*f - 2647. Let g(j) = -3*c(j) + 2*v(j). Differentiate g(h) wrt h.\nAnswer: 2*h - 1793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbuubqybyub. What is prob of picking 1 u, 1 q, and 1 b?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.6571l to millilitres.\nAnswer: 584657.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82, -86, -146, -262?\n\"Answer: -28*j**2 + 80*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e2 (base 15) in base 7?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7743, 7742, 7741, 7740, 7739?\n\"Answer: -k + 7744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -58 - 57 + 114 - 2*c. Suppose -27*z = -24*z + 51. Let k(n) = -5*n - 3. What is z*y(v) + 6*k(v)?\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35421.4 - -35421. Which is the biggest value? (a) -4\/13 (b) u (c) 1\/13 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1878351808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 9*s**3 + 11*s**2 + 11 - 7 + 8*s**3 + 0*s**3 - 7*s**2. Let t = -11 + 23. Suppose -k - 3*k = -t. Give o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 8*s - 4. Let x be l(9). Factor 2*u - 2*u**2 - 15*u**3 - 9*u**4 + 4*u**2 + u - x*u**2.\nAnswer: -3*u*(u + 1)**2*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - -98221?\nAnswer: 98170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239 - -257. Let v = 15 + p. Which is greater: -3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1) + (0 - -2). Suppose x = -5*k - 3*n + 552, -2*k = k - 4*n - 337. Is k 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 618784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/11 + 6086*x**4\/11 + 6090*x**3\/11 - 6086*x**2\/11 - 6088*x\/11 = 0.\nAnswer: -1, 0, 1, 3044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:54 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) -43 (c) -2 (d) 0.005 (e) 3\/128 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61076 is divided by 481.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*d**2 - 1391*d**2 + 3 + 520*d**2 + 534*d**2 - 3.\nAnswer: 402*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4\/(4\/(-3)). Suppose -s + w + 2 = 0. Suppose i + s = 87. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1637495*q**2 + 16*q - 1. Let y(p) = 327499*p**2 + 3*p. Let j(t) = 2*g(t) - 11*y(t). Let m be j(2). Round m to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*x**6 - x**3 + 277*x**2?\nAnswer: 6960*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/596 and -67\/6556.\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192*k**2 + 67*k**2 + 65*k**2 - 331*k**2)*(0*k**2 + 0*k**2 + 4*k**2)*(2 + 4*k - 2).\nAnswer: -6256*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 199*w + 1 - 96*w - 98*w. Suppose 0 = 3*m - 2*m + 34. Let t(p) = p. Let z(c) = m*t(c) + 6*v(c). What is the derivative of z(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006924 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.291. Let r = d + 0.009007. What is r rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/117 and (4*(-86)\/1152)\/1.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78d3a (base 15) to base 13.\nAnswer: -105c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 1. Calculate the remainder when -74*1\/(-4)*2 is divided by n(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*v - 32 = 0, -5*v + 23 = 3*k - 33. Solve 0 = 8*l + 18 + k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**7\/168 - t**6\/8 + 11*t**5\/80 + 47*t**4\/48 - 3*t**3 + 7*t**2\/2 + 146*t + 4. Factor g(a).\nAnswer: (a - 14)*(a - 1)**3*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*-3*(0 + sqrt(1088) + 1 + -1*sqrt(1088) + -2)**2 + -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/10*n**5 - n**2 + 1\/6*n**4 - 1\/3*n**3 - 5*n + 0. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + 38. Let g = 26 + d. Let s(t) = t**2 - 3*t - 12. Does 10 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15483532933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 417 and 1842.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86740.67 litres to millilitres.\nAnswer: 86740670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (1 - (4 - (-10 - -7))) - 79\/1?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 4013356.\nAnswer: 11\/4013356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/63260 or 0?\nAnswer: 17\/63260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329513816230517 - -329513805581601.70999955. Let f = i - -10648915. Let w = f + 0.29. What is w rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*d**4 + 11)*(-11 + 6 + 31) - d**3 - 2*d - 2*d**4 + 2*d + (-d**2 + 2*d**2 - 3*d**2)*(2*d**2 + d**2 - d**2).\nAnswer: -58*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13728 and 1584.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 59*q**2 + 5*q**2 - 39*q**2 + 66*q**2. Let t(w) = 2*w**2. What is t(n(u))?\nAnswer: 16562*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + 25.36. Let d = -24.89 + x. What is d rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1749 + -1752. Let k = -31 - -26. What is the second smallest value in 2\/9, 5, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 12) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103\/189 - 7\/27. Let u = 0.5 + 1.5. What is the closest to p in 5, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.928 + -0.8. Let p = -1 + 1.2. Let x = g - p. Round x to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 9. Suppose 2*l - 52 = -2*l. Let a be n(l). Suppose 3*s + k - 3*k - 64 = 0, 4*s - 108 = -3*k. Calculate the greatest common factor of s and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 7 + 17. Let h be 3\/j + 10\/4. Solve -5*k = 0, -5*v + 0*k - 10 = -h*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.014512 + 0.0125. What is o rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.8 - 31. Let m = 7499 + -7498.91. What is the fourth smallest value in 1, -1\/2, m, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*v**5 - 432*a*v**4 - 40*a*v**3 - 2*a*v**2 - 24*a + 11457 wrt v.\nAnswer: -60*a*v**2 - 10368*a*v - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 251636?\nAnswer: 2264724","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 10\/173193 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3248224 and 1392096.\nAnswer: 9744672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssnsssssssnnsssssns. Give prob of sequence ns.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 3. Suppose 4*z = -4*y - 44, -3*y + n*z + 6 = 33. Let s be ((-1)\/(-1))\/((-5)\/y). What is the highest common factor of s and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*c*u + 249759373*c - 7*u**3 - 10688*u wrt u?\nAnswer: 86*c - 21*u**2 - 10688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317*x - 24 - 6 = 1312*x. Let q(d) = -9*d + 1 - 2*d**3 + d**3 + 3 + 7*d**2. Determine q(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.224 + -95.776. Let v = q + 96.2. Which is the closest to 0? (a) 0.1 (b) -11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1091*r**3 + 448*r**2 + 7*r. Let i(x) = -727*x**3 - 299*x**2 - 5*x. Let g(h) = 7*i(h) + 5*w(h). What is the third derivative of g(q) wrt q?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l + 1. Suppose -13 = y + 4*w, 3*y = -3*w - l - 2. Is 13*y\/((-3)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 3*i = 270 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540975399, 540975404, 540975421, 540975456, 540975515, 540975604, 540975729, 540975896?\nAnswer: 540976111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 166 = -20. Suppose -4*f - 5*z = -102, -2*f - l*z + 5*z = -48. What is the remainder when 57 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/((-988)\/(-570)) - 1) + 89\/(-4).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, -18, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-12 + 7) - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/3))**(3\/32)\/(q**0\/q**(-6)) assuming q is positive.\nAnswer: q**(-187\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11897188, 23794380, 35691574, 47588770?\nAnswer: 59485968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710150 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516667?\nAnswer: 19, 71, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031 - -107.\nAnswer: 107.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16647*s**3 + 4*s**2 + 1660720*s - 2?\nAnswer: -99882*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 542582045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 + 6*w**2 - 7*w + 10. Let n(j) be the second derivative of j**5\/20 - j**4\/6 + j**3\/3 - 3*j**2\/2 + 4*j. What is -7*n(o) - 2*t(o)?\nAnswer: o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 799*z**4 + 609?\nAnswer: 3196*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.3 (c) 189 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 101*s**6\/180 + s**5\/20 + 7*s**4\/24 - 10*s**3\/3 + 30*s**2. Let d(g) be the first derivative of w(g). Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 4*g**2 + 2*g**2)*(-349*g + 510*g - 357*g).\nAnswer: 392*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005852 to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*x - 798*x - 48 = -407*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ootoooootoo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15768, 31528, 47288, 63048, 78808?\nAnswer: 94568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 8) to base 3.\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -47*s + 42. Let y be (-2)\/s*-16 - (-8 + 10). Which is the second biggest value? (a) -0.2 (b) -0.5 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -3, 1\/23, -26, 3, 298, 0?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29 + 14*r + 12*r - 2*r - 4*r wrt r.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*v. Let a(y) = -y**2 - 3*y + v*y**2 + 0*y**2 + 0*y**2. Let z(i) = -i + 10. Let g be z(6). Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.641 (b) 0 (c) -0.3 (d) -0.2 (e) 1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8132888 and 0.3.\nAnswer: 8132888.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4236 to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.4 + 54. Let n = z - 46. Let b = n - -4.39982. Round b to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 - (-2)\/(-4)*-4. What is the nearest to t in 1, 2\/7, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12148967.\nAnswer: 12148967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-160)*((-756)\/(-294))\/(-18).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 200 = -16*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 10*a**2 + 2*a**2)*(-2 + 3 + 0).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.682725 weeks to microseconds.\nAnswer: 4041712080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, 5, 2 in increasing order.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53906?\nAnswer: 2, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2996 = 202*m + 12*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3006 - 2526. Let r = 20 + -16. Suppose n + r = 14. What is the highest common divisor of n and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10635 + -10631. Let u(x) be the second derivative of 0 - x + 0*x**3 + 0*x**v - 2\/5*x**5 + 17\/2*x**2. Find the first derivative of u(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.0419?\nAnswer: -0.1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7601\/1946 + 22\/973. Let h = -65601 + 787355\/12. What is the common denominator of h and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 10*v**2 - 11*v - 13. Let u be k(-9). Solve -u = a, -2*i = -4*a - a - 29 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77749140 divided by 798\nAnswer: 97430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14218*n - 179163 - 654417 - 67557 = 392701 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + 6*y**2 - 34*y - 69. Let t be k(-2). Put -5, -21, 3, t, 5 in ascending order.\nAnswer: -21, -5, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/7 + -2 + 24\/14. Which is the second smallest value? (a) t (b) 1\/6 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416 greater than -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (575\/(-35) + -5)*((-140)\/(-8))\/(-5). Let u(q) = -2*q + 1. Let h be u(-12). What is the highest common divisor of h and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -54c?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799, 794, 787, 778, 767, 754?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/132 and 65\/834.\nAnswer: 18348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260838 divided by -9?\nAnswer: -28982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - (-7 - -29) - (1 - -58 - 55)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*y + 9, 0 = -5*y + 15 + 10. Let r(l) = -l**2 - 8*l + 1. Let u be r(-6). Let s = 44 - u. Calculate the remainder when s is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:35 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1481.9 - 256\nAnswer: 1225.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13199064560 rounded to the nearest one hundred thousand?\nAnswer: 13199100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158a2 (base 11) in base 13?\nAnswer: a253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*x**3 - 239*x**2 + 239*x**2 + 2*x)*(7*x**2 + 12*x - 12*x).\nAnswer: 252*x**5 + 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 6 = -6. Put -4, 6, k, 0 in decreasing order.\nAnswer: 6, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x*x*x**3*(x*x*x**(1\/2))\/(x\/(x*x**(2\/7)))*x**(-5)\/((x\/(((x\/x**(-7))\/x)\/x))\/x*x)*x**(-1)*x**4\/x assuming x is positive.\nAnswer: x**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427 - -412. Let j(l) = -l**3 - 16*l**2 - 34*l + 10. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:42 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x - 12. Let l be 12\/(-10)*25\/(-10). Suppose -2*m - 28 = -l*f - 7*m, -3*m + 4 = f. Calculate the smallest common multiple of x and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18514641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16271, -129943, -438413, -1039079, -2029339, -3506591, -5568233?\n\"Answer: -16233*w**3 - w**2 - 38*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 32*t**4 + 3*t**2 + 17*t - 3. Let g(o) = 255*o**4 + 25*o**2 + 135*o - 25. Let r(v) = 3*g(v) - 25*y(v). What is the second derivative of r(i) wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331 + 1268*p + 1279*p - 5106*p + 1273*p + 1278*p to g + i*p and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.9388nm in millimeters?\nAnswer: 0.0002419388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140.0274 - 140. What is h rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 34*k**3 - 160*k**2 + 128*k.\nAnswer: -2*k*(k - 8)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -6*(-4 + sqrt(117) + -2 - sqrt(117)) + 1 + 2*sqrt(117) + 1 + 2*sqrt(117) + sqrt(117)))**2.\nAnswer: 16800*sqrt(13) + 66400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4\/99 (b) 1 (c) 783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 139 = -7*o, 0 = 3*o - 4177*g - 4176*g + 8357*g - 78 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 343, -338, -2193, -5810, -11777, -20682, -33113?\n\"Answer: -98*c**3 + c**2 + 2*c + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -13690*j**5\/3 + 31376*j**4\/3 - 21130*j**3\/3 + 2908*j**2\/3 + 520*j\/3 + 16\/3 = 0.\nAnswer: -2\/37, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/68 + 1\/(-4). Suppose -35*k + 33*k + 6 = c. Sort 21, -2, -3, k in descending order.\nAnswer: 21, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316 = -109*d - 51*d - 33*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -440867 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18529533 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 23*r - 1. Let t(w) = -w + 2. Let s be t(1). Let c be q(s). Let l = c - 10. Calculate the remainder when 34 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let t = 4\/33 - 19\/66. Let z be 3\/(-105) + 4\/(-10). What is the nearest to h in t, -4, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9904 and 8944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12230611*n**3 - 3918607*n.\nAnswer: 73383666*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose 0 = -u*v + 4, k = 2*k + 2*v - 12. Suppose -4*j - k = 4*d, 2*d = d - 5*j + 10. Put d, 3, 4 in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -77. Solve -3*q + s = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78216 - 277040 - 455626 = -7113*r for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 11\/9*q**3 + 0*q - 1\/270*q**5 + 0 - 8\/27*q**4 - 274*q**2. Let n(s) = 0. Calculate s.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 78*b - 3. Does 15 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 154*o**2 - 2*o + 3. Let s be x(1). Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1898368 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 5*n - 8. Let y be m(-8). Suppose -2*g = -20 - y. Suppose 5*p - 157 = -h, -3*p + 3*h = -g - 37. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-248)\/(-24))\/(1\/3). Suppose -500 = -9*n - n. Let a = n - o. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 22*t - 97. Let k be m(7). Suppose k*r = -103 + 319. What is the remainder when 103 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 373.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 13*o**6\/60 - 3*o**2. List the prime factors of d(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*g**3 - 214 + 214 + 227*g**3.\nAnswer: -774*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/60 and 17\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*9\/(-36)*(-8)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-15) - -1)*-550. Suppose -358 = -3*l + g, 3*l - y + 81 = 2*g. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -5*q - y, 4*y + 116 = -4*q - 0*q. Let n be 6 + -4 - (q - 0). Suppose i - 5*a = 3*i + 6, -n = -3*i + 3*a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27696.\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63782743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-18) + (-23)\/36 + (-846)\/24.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552850 is divided by 290?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-7\/6))*u*u\/(u\/((u**23*u)\/u*u))*u\/(u*u*u*u**13*u)*((u\/(u**(-25)\/u)*u)\/u)\/u assuming u is positive.\nAnswer: u**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -2. Suppose -5*s + 162 = 2*g - 4*g, 0 = -5*s - 5*g + 190. Let v = s - -5. What is the remainder when v is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.555 - 0.043559337324.\nAnswer: 0.511440662676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**4\/24 + 3*z**3\/2 + 7*z**2. Let c be u(4). Suppose -c*h = -h - 24. Solve -3*a - 8 = -8*a - l, -h = -a + 2*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -3168914?\nAnswer: 3168914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 2*c)*(139*c - 141*c + 233*c + 59*c + 115*c).\nAnswer: -405*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -31*x**3 + x**2 - 2*x - 2. Let v be h(-2). Suppose 3*c - 2*l = 152, l + v = 5*c - 3*l. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 4*v + 4*v. Let n(s) be the first derivative of -s**2 + 7. What is k(n(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6502084*j**3 + 5513137*j**2 wrt j?\nAnswer: -39012504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 2*m - 3. Let j be (8 - 12)*(-6 + 7). Let b(g) = -9*g**2 + 4*g - 7. Calculate j*b(h) + 7*p(h).\nAnswer: h**2 - 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*n**2 - 244 + 244)*(-3*n - 2*n**2 + 3*n)*(3*n - 2*n + 0*n).\nAnswer: 98*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -723168 and -13740180\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-8))\/((-2)\/4). Find the first derivative of 4 - j + 8*c - 4*c - 1 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 8*g - 6. Calculate s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117622*l + 117634*l - 174 = -6*t, -4*t = -l + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/7 + 12*w**4 + 783*w**3\/7 + 2430*w**2\/7 = 0.\nAnswer: -10, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.1 + -13. Let y = -3.4 - q. Which is the closest to 1? (a) -5\/2 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 19*d + 15*d - d**2 to l + v*d + m*d**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513*z**2 + 659*z**2 + 852*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 167587 (base 9) to base 15\nAnswer: 20c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/350)\/((-2)\/308)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 5 = 0. Let x = n + 7. Suppose -2*a = 4*c - 32, -3*a = -2*a - 5*c + 19. Calculate the smallest common multiple of a and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1586*z + 75. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5\/3, -730235 in decreasing order.\nAnswer: 2, 5\/3, -730235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 97 = 104 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 51*l - 119. Let n(m) = 42*m - 120. Give 5*d(x) - 6*n(x).\nAnswer: 3*x + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.89 - 3. Let q = v + -3.89. Which is the nearest to -1? (a) q (b) -5\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927262503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 4*q)*(841 - 2251 - 991 - 1572).\nAnswer: -3973*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 3*g + g + (0 - g + 0)*(-2 + 0 + 0) - g - 2*g + g + 8 - 8 - 3*g + 41*g + 39 - 20 - 17.\nAnswer: 40*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*z + 10 - 1, 12 = 4*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*o + 2300 - 2300)*(-15 + 3 - 30*o**3 + 31*o**3).\nAnswer: 165*o**4 - 1980*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18785 = 1861*f - 39386 - 22202 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29980 - 13642. What is g rounded to the nearest one hundred?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 5. Let y be k(0). Let l = 44 - 38. Solve -l = -y*c + 4*m, -2*c + 5*m + 17 - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 4 + ((sqrt(72) - -1*sqrt(72) - sqrt(72))*-2 + sqrt(72))**2 + ((sqrt(128) - (sqrt(128)*2 + -5))**2 - sqrt(128))).\nAnswer: -528*sqrt(2) + 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 6, a: 4, c: 3}. Give prob of picking 2 a and 1 c.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let y be x(-2). What is the third derivative of y*w**2 + 14*w**3 - 14*w**3 + 2*w**4 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-3 - 5) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 128*b + 10432. Calculate s(-90).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/6)*2\/(-72)*-12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 341727586 and 14.\nAnswer: 2392093102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688056648?\nAnswer: 2, 3, 4507, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2)*44\/(-6) - (-203)\/(16849\/249)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 12*f + 4. Let n be d(-12). Suppose -n*j = -j - 138. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.08 + 0.08. Let q = f - -1. Let w = q + 7. Which is greater: w or 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11249684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 9 - 9)*(-1 - 3 + 2) + 0*q + 5*q - 3*q - 1 + 2*q + 1 + (-2 + 2 - 1)*(-2*q - 2 + 2) + q - 2*q + 0*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.733094 rounded to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 63*n**2 + 27*n - 5. Let c(i) = 32*i**2 + 12*i - 2. Let p(q) = -10*c(q) + 4*t(q). Find the second derivative of p(j) wrt j.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/(-110)*(-160)\/(-6). Let u be (6\/(-144)*-6)\/((-18)\/z). What is the closest to -6 in -2\/17, u, 2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*q**2 - 37*q + 83*q**2 - 13*q**3 - 72*q + 109*q.\nAnswer: -13*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 2704*c**2 + 889130*c + 16892100.\nAnswer: 2*(c - 685)**2*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 24\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9620.86 times 25?\nAnswer: -240521.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -3626976 divided by 2\nAnswer: -1813488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*g = 2*g + 114, -5*s + 5*g = -275. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 3*j - 7. Let m be t(-6). Let z(n) = n. Let f(i) = i**3 - 10*i**2 - 6*i - 8. Let d(q) = f(q) - 3*z(q). List the prime factors of d(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + j + 6 = 25, 0 = -w + 5*j - 17. Suppose y - 3 = 2*y + 2*s, -y - w*s = 8. What is the remainder when 19 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*844398.\nAnswer: 4221990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/24*132*(-46)\/(-2783)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -570*f + 3504. Let r be o(6). What is the greatest common divisor of 1491 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63958 divided by 4\nAnswer: -31979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239158403\/970 - -246555. Let r = x + 15\/97. Factor -r*q**5 - 2\/5*q**4 - 1\/10*q - 2\/5*q**2 - 3\/5*q**3 + 0.\nAnswer: -q*(q + 1)**4\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52322980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-224)\/(-1274))\/16.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppjpppjpjpjppppjppp. What is prob of picking 2 j and 2 p?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966 = 688*r - 331*r - 343*r for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 1488?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, -96, -373, -868, -1653, -2800, -4381, -6468?\n\"Answer: -12*t**3 - t**2 - 44*t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1043 + 482.\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 4, -0.4, 9319, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -20*v + 22*v - 3*c, -2*v = 3*c - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27142 less than 29?\nAnswer: 28.72858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 3*h - 3. Is t(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (-4 - -3) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117503 is divided by 751?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34.3217 times 1\nAnswer: 34.3217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -59132*a**2 + 29577*a**2 + 29568*a**2 - 3. Let g(t) = 13*t**2 - 4. Calculate 3*g(o) - 4*l(o).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbk when three letters picked without replacement from bkabb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 14397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.88 + 82. Let p = q - 4. Let b = -5.02 + p. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7494 by -1.\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5180350.76 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14378724?\nAnswer: 2, 3, 399409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802797 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a - 1. Let j be p(6). Let c(w) = -4*w**2 - 4*w + 177. Let i be c(0). Let o = i + j. Calculate the smallest common multiple of o and 22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2332\/(-99))\/(10*(-40)\/150)*6\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266187 or 2\/133?\nAnswer: 266187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 72737864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/55*(63404\/(-1584))\/(-131).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 - 10000020313?\nAnswer: -10000021203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21114.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {d: 3, b: 3, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1813, -3102, -3867, -4108, -3825, -3018?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -38) + 4 + 2 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/((-16)\/186))\/((-161)\/184). Which is smaller: -26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/8))**(-14\/9) assuming j is positive.\nAnswer: j**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -53*p + 69 - 188 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Let r = 3 - 0. Suppose -5*h + 4*o = 0, -5*h - r*o = o - 40. Sort k, 0, h in decreasing order.\nAnswer: k, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -5, 2355?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(136)\/(sqrt(8)*-2) + (sqrt(68)\/sqrt(4))**2*2).\nAnswer: -66 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.92892 decades to years.\nAnswer: 919.2892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2288147.99966 + 2288190. Let h = t + -42. Round h to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7173 - 1.9173. What is the closest to -0.1 in 13\/5, c, -2\/9, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1))**(-4\/5)\/(t**(2\/7))**36)\/((t*t*((((t*t*(t**(1\/6)\/t*t)\/t*t*t)\/t)\/t)\/t)\/t*t*t\/t**(-1))\/(t**(-4\/3)*t**(-1\/15)*t*t)) assuming t is positive.\nAnswer: t**(-649\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/4 <= -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/486 and 61\/150.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*n**3 + 20*n**2*t + 36*n*t - 798*t + 61 wrt n?\nAnswer: -39*n**2 + 40*n*t + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 8974\/5, -129\/5 in decreasing order.\nAnswer: 8974\/5, 1\/4, -129\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - c + 26 = 0, -3*i - 74*c + 70*c + 44 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**(-2)\/((q**1\/q)\/(q\/q**17)) assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a factor of 1025493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in ninety-three quarters of a microgram?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.41 times 0.3\nAnswer: -1.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(1 + -2*sqrt(1100)*-3*5)**2.\nAnswer: 7200*sqrt(11) + 11880012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/3 + -7)*(26 + -34). Is 75 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**9\/25200 - p**8\/11200 + p**7\/4200 + p**6\/1200 + p**4\/6 + 2*p. Let j(c) be the third derivative of r(c). Factor j(a).\nAnswer: -3*a*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 - -5)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -19. Let d(z) = 5*z**3 + 2*z**2 - 1. Let c be d(1). Let p be (2\/c)\/(1\/24). Solve n - p = i*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 + 4180*p**3 - 85575*p**2.\nAnswer: -5*p**2*(p - 815)*(p - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2507 - 2618.9. Let i = -106 - m. Let b = -7.63 + i. What is b rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0627 + -19.0627. Do -27 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stttmytygyggt. What is prob of sequence gty?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6. Let t(g) = g - 1. Let j(p) = f(p) - 6*t(p). Let z(i) = 4999938*i**2 - 2500014*i**2 - 2499971*i**2. What is j(z(u))?\nAnswer: 282*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*k**2 + 119*k**2 + 108*k**2 + 114*k**2 + 559*k - 3 as v + g*k**2 + d*k and give d.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 6, k: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = -4*x + 525. Calculate the highest common divisor of 33 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*f - 54*f**2 - 3 + 52*f**2 + 2)*(-15*f - 23*f + 23*f) to the form v + a*f**3 + x*f + u*f**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 22*i + 84. Determine m(-12).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 54.51. Let w = j + 0.49000025. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) -3183 (c) 0.7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6))**(-2\/181)\/(m**(1\/15)\/m**(2\/7)) assuming m is positive.\nAnswer: m**(1376\/6335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2550 and 86058318.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + 5. Let a be g(0). Suppose -a*v + 27 = l, 4*l + 7*v - 63 = 2*v. Let k be (18 - (-16 + 29)) + 2. Solve -4*z + k*z - l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 0*f**2 - 22 - 3*f - 10*f**3 - 2*f**2 + 20*f**3 - 10*f**3 to the form z*f + x*f**2 + w*f**3 + k*f**4 + h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {h: 2, i: 1, g: 1, n: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*g = 200*g + 80. Let m(y) = 35*y + 11. Let x(j) = 23*j + 7. Calculate g*x(q) + 5*m(q).\nAnswer: -9*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -5*c**2 - 2*c + 2. Let q be (16 + 0)*(-301)\/(-172). Suppose q*m + 83 - 27 = 0. What is l(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135005, -135007, -135009, -135011, -135013, -135015?\nAnswer: -135017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79841.4 centimeters to micrometers.\nAnswer: 798414000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110102220122 (base 3) to base 16.\nAnswer: 3bc90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-15))\/(-1))\/(1794\/1495)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15)\/((3\/1)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 1775.\nAnswer: 1775.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onuumoen. Give prob of picking 1 o and 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.1 (c) -2081 (d) 4\/9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/12)\/(3\/(-20)). Let x be 36\/v*(-5)\/2. Let s be 14\/x - 8\/24. Which is the biggest value? (a) s (b) -1 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -876.4 plus 2?\nAnswer: -874.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(1 + 2 - 1) - 2 - 1 + 2 - 1 - 4 + 4)*(2*n + 4*n - 5*n + (-2 + 9 - 18)*(-n + 5*n - 2*n)) as p + u*n and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4, -4*j + 6*j - 1 = u. Calculate the smallest common multiple of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0.8 (b) 0.1 (c) 1\/5 (d) 2\/7 (e) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f + 0*f)*(-3 - 1 - 1) - 1317 - 364*f + 1317 as n + x*f and give x.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90518 or 90524?\nAnswer: 90518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71170 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4209\/92)\/(-1 + (-13)\/(-16)). Let k = -240 - x. Calculate the least common multiple of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 4*m. Let y be o(-3). Suppose y*t - t = 60000. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 35099*u + 737956. Calculate v(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 3, l: 2, g: 9}. Give prob of picking 1 e and 2 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10587 = -1816*b - 29365 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 27*o**4\/8 - 6*o**3 - 32*o**2 - 3. Does 69 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2139 and 5865.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**5 - 198*m**4 + 7*m**2 + 1228552*m.\nAnswer: -60*m**3 - 2376*m**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + 13 + 20 + -17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 327 + 239 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 38*r**2 - 38*r - 33. Suppose -q - 22 = 15. Let v be i(q). Solve v = -s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*f = -5*f - 1511, f - 6053 = -4*m. Let h = -10630\/7 + m. Calculate the common denominator of 146\/6 + -2 - -3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*j = -12, -j = -o - 6*j - 16. Let t be 11\/(-11) + 5\/o. Let q = 44 + -43. What is the smallest value in q, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 28958?\nAnswer: 28958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*s - o + 5, 0 = -3*s - 3*o + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -5 (c) 2\/9 (d) 0.643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.0701 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c + 30 = o, -2*c + 5*o = 35. Let x be (c\/(20\/(-32)))\/2. Find the second derivative of -11*k**x + 2 - 2 - 16*k + 14*k wrt k.\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10093770 divided by -1682295\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 5*u**2 + 3*u. Let q(d) = 3*d**3 - 9*d**2 + 5*d + 1. Calculate -3*q(t) + 5*r(t).\nAnswer: t**3 + 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93.088 + -93. Let s = r + 0.912. Sort -2, 4, 5, s in increasing order.\nAnswer: -2, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 998192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b. Suppose b*o = 4*o. Solve -z + 5*p + 3 + 5 = o, -20 = -5*z + 5*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(1\/11)*n*n)\/n*n)\/n)\/n**(-13))\/(n**7)**28 assuming n is positive.\nAnswer: n**(-1992\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 6}. What is prob of sequence ii?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1 + (3 - -1). Calculate the smallest common multiple of 8 and (-1)\/(-2)*u*3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**2 + 347*i - 818. What is the remainder when (6\/1)\/(3\/8) is divided by h(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8362, -20389, -40440, -68521, -104638?\nAnswer: -148797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 42 = m. Let k be m\/(-6) + 4\/6. Solve 0 = h - 2*p - 4, -6 = h + h + k*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -453660.09939 - -453616.1. Let i = -78 - -122. Let t = m + i. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 1, j: 7}. Give prob of picking 1 j and 1 q.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o**2 - 335557*o + 7714 = 0.\nAnswer: -3857, 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233.468 - 233. Let m = 0.032 + v. What is the biggest value in 0.1, -1\/10, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677270 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: Divide 25464804 by 212.\nAnswer: 120117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 17*o - 62. Let s be i(-28). Let m = 1153 + s. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 1\/8, 341, -2\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5*x**3 + 6 - 12 - 1.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2046 + -1921. Solve s = 40*z - 15*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -198?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - t = 2*t + 14, -g - 16 = 5*t. Let a be (1 - g) + 15\/5. Solve 18 = -4*j + a*l, -2 = -l - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 11*v**2 + 13*v**2 - 6*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -96200176*-4\nAnswer: 384800704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (6 - 7) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 5. Let y(d) = -18*d**2 + 7*d + 18. Let q(l) = 9*l**2 - 4*l - 9. Let n(j) = 5*q(j) + 3*y(j). Give -5*h(k) - 3*n(k).\nAnswer: 2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000949 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 109*y**2 - 6*y + 17. Let f(t) = t - 1. Give 6*f(s) + v(s).\nAnswer: 109*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 2830, 9910, 23792, 46744, 81034?\nAnswer: 128930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 43*q + 206. Give k(-40).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(7) - sqrt(343)))\/(sqrt(576)*5) + -5)*-2.\nAnswer: sqrt(3)\/120 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**13)\/d)\/d*d*((d\/(d*d*(d**6\/d*d)\/d))\/d)\/d assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*a + 3288, -4*a - 2*m - 3298 = -2*a. Let f be ((-34434)\/a)\/(43\/15). Let i = f - 408\/61. Calculate the common denominator of 14 and i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 18*i**2 + i - 1. Let u(s) = -3*s**3 - 75*s**2 - 7*s + 1. Let j(c) = u(c) + 4*z(c). Determine j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13*b = 0. Suppose 3*a + 3692 + 4453 = b. Let y = -1046 - a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13456\/5 - 1\/5*h**2 + 232\/5*h = 0. Calculate h.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13122311 (base 4) to base 15.\nAnswer: -900e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 2. Which is the second smallest value? (a) n (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g + 58*g + 48 = 0. Find the third derivative of 25*m**3 - 24*m**3 - 12*m**g - 3*m + 6*m**2 + m wrt m.\nAnswer: -1440*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {v: 1, k: 3, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by 83\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - (-35)\/(-6)) + 31\/(-6). Let d(b) = -b**2 - 10*b - 27. Let f be d(v). Is (-18903)\/(-9) + 2 - f\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83737624.98641 - 83738112. Let i = u - -487. What is i rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*b - 236*b + 1267596. List the prime factors of b.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = -4*b + 28, -100 = -3*j + 4*b. Let a(d) = -d**3 + 30*d**2 + 71*d - 14. Is 7 a factor of a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14842, 29711, 44580?\n\"Answer: 14869*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49901627 - -35017.\nAnswer: -49866610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from bbfbriffrffrfbr?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.52 - 9.52. Put 0.2, -2\/7, 11, j in increasing order.\nAnswer: -2\/7, 0.2, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.003, 0.4, 1?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*s = 782*s + 45180 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406)\/(-145) + 4752\/(-1680)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4, -26, 2\/13 in increasing order.\nAnswer: -26, 2\/13, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 20*b**2 - 3*b**2)*(b + 2*b**3 - b).\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -47, 19, 85?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25519, 25523, 25527, 25531?\nAnswer: 25535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(768)*5 + sqrt(768)))\/((sqrt(600) - 2*sqrt(600)*2) + sqrt(600)).\nAnswer: -36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 678?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000002 (base 3) in base 5?\nAnswer: 43133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151808 is divided by 1783?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42775 and 309271805?\nAnswer: 8555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.06036 - -0.06036. Let j be (1\/(-15))\/((-3)\/(-9)). Which is the third smallest value? (a) n (b) j (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10814*n**2 + 35*n - 14 wrt n.\nAnswer: 21628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765, -345, 357, 1341?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t + 46*t = 36. Let h = 118 + -123. Which is the smallest value? (a) t (b) 0.4 (c) 0.2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, 0.5, 1093 in descending order.\nAnswer: 1093, 0.5, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + p + 1. Let c be f(-1). Let j be 3 + (1\/(-2))\/((-13)\/(-26)). Find the third derivative of 9*i**c + i**4 - 3*i**j - 5*i**4 + 9*i**4 wrt i.\nAnswer: 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1088 and 59\/68.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 2*l - 1. Let x(r) = -550*r**2 + 120*r + 60. What is 60*m(u) + x(u)?\nAnswer: -610*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 - 27*l + 9. Let m = 4 - 11. Let k be g(m). Which is the third smallest value? (a) 1\/2 (b) k (c) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*g = -4*r + 3890, -5*g + 5839 = 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*393\/1310*(-4)\/6)\/(2\/122)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -998 + -8?\nAnswer: -9a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/((-1)\/(-11 - -16))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9482*-2.75\nAnswer: 26075.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58857593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1387 - 1386. Which is the third smallest value? (a) 0.4 (b) -0.66 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1912532\nAnswer: -3\/1912532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010025015 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851 + 6?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54642141 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5820, -5159, -4048, -2487, -476?\n\"Answer: 225*a**2 - 14*a - 6031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10018.625 and -1647729.\nAnswer: -1657747.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*r = -364*r + 899. Let u = r - 898. Solve 10*k = 11*k - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.7 + -21.7. Which is the closest to y? (a) 0.2 (b) -0.01 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by (2 - (-4 + 1 + 2))*(-169 - -206).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*g**3*u**2 + 2*c*g**3*u + 10*c*g**3 - 5*c*g**2*u**2 - 3*c*u + 8*g*u**2 wrt g?\nAnswer: 6*c*u**2 + 12*c*u + 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 3*l - 432. List the prime factors of 660 + (-2 - l\/6).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 13*t + 2. Let p be a(-7). Let r be 2 - p\/((-60)\/27). Let l = 0.2 - 0. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose 6 - 34 = 2*o - m*r, 5*o = 4*r - 76. Let f = 30 + o. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5\/2))\/b**(-3)*b\/b**(-4\/7)*b*(b**(-15\/2)\/b)\/b assuming b is positive.\nAnswer: b**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -384*g + 384*g - g**2. Let i(z) = -8*z. Calculate c(i(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203273368 to the nearest integer?\nAnswer: 14257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -3 (c) 0.2 (d) -564 (e) 0.3 (f) -3\/3245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = -4*s, -423*s = -424*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -41*s**5\/20 - 29*s**4\/12 - 8*s - 2. What is the third derivative of q(g) wrt g?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -4496, -15152, -35844, -69902, -120656, -191436?\nAnswer: -285572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 35*o - 837. Give y(23).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60079, 120158, 180237, 240316, 300395, 360474?\n\"Answer: 60079*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/33 - (-5684)\/44. Let r = y + -65. What is the greatest common divisor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f + 5*v, -f = -3*v - 0 - 3. Suppose 16 = 2*r + 5*a, 0*r + r - f*a = 30. Suppose 7 = i - 0. Calculate the remainder when r is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40464335 and -0.1.\nAnswer: -4046433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/90 and 11\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 9, 48, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*o**2 + 4 + 3*o.\nAnswer: (o + 2)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2851 times 19039\nAnswer: 54280189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.026 + -0.075. Suppose s = 4*y - 9, -2*y = -3*s + 89 - 96. Which is the smallest value? (a) 2\/5 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**5 + y**4 + y**3 - 1. Let n(u) = -16*u**4 - 5*u**5 + 10 - 5*u**2 - 4*u**3 + u**2 + 2*u**2 - 3*u**5. Let z(q) = -10*b(q) - n(q). Factor z(r).\nAnswer: -2*r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/13)*j*j*j**(8\/3))\/(j**(1\/16))**(-7) assuming j is positive.\nAnswer: j**(3905\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52153, 212122, 479905, 855502, 1338913?\n\"Answer: 53907*z**2 - 1752*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 1. Let l be r(2). Let b(w) = 2*w**2 + w + 1. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/(-14960))\/((-420)\/(-154)).\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (360\/(-80))\/((-19)\/(6270\/45))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**3 + 59*j**2 - 8*j - 8. Let h(i) = 4*i**3 - 39*i**2 + 5*i + 5. Give 8*h(x) + 5*w(x).\nAnswer: 2*x**3 - 17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s - 8*s + s. Let d be r(2). Which is the closest to -2\/3? (a) -4 (b) -3\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398294.\nAnswer: 2, 13, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + 125. Let x = i - -92.1. Let c = 0.5 + x. Round c to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004837617 rounded to seven dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -1)*12\/(-9). Suppose 0 = 2*i - 18 - s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.032 or -416?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41468 - 41469. Which is the nearest to y? (a) 0.058 (b) 0 (c) -23 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*k - 0*k - 6, -j + 2 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3*u - u)*(-u - 2*u + 2*u) + 3 - 3 - 2*u**2 to m + d*u**2 + z*u and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*m = 22, 3*m + 8 = 2*t - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -715, -2096, -4633, -8674, -14567, -22660, -33301?\nAnswer: -46838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 101. What is the smallest common multiple of (f\/(-6))\/5*8 and 1 - (-5 + 1 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (112\/3)\/1 + (-22)\/66. Suppose -36*q + x*q = 0. Suppose q = 5*o + 3*u - 1405, 2*o - 536 = -0*u + 4*u. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2. Let k(l) = -387*l**2. Give k(h(y)).\nAnswer: -3483*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-66) - 8359837\/(-11). Suppose -781471 = 2*l - 2*a + 738535, -l - u = 5*a. Round l to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-342) + (-1)\/(-3) + -1. Which is the second smallest value? (a) y (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 9, r: 1, c: 4}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785925397.\nAnswer: 643, 1222279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mxxxxmmmmmxxxxxmmmxm?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i + 338 + 293 + 99 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 + 16*t**3 - t**2 - 2*t - 3088.\nAnswer: 12*t**2 + 96*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013872 rounded to six dps?\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 112. Suppose -3 = -5*h - n. Let s(t) = t - 3. Let r be s(2). What is the closest to -1 in h, r, -5\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Let v(p) = 4*p**2 + 4*p - 2. Let a be ((-1)\/5 + -1)\/(9\/(-390)). Let u = a - 50. Let t(o) = u*k(o) + v(o). Factor t(j).\nAnswer: 4*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 360 = f, 4*f = 6*m - 3*m - 216. Let s be (-6)\/27 - (-860)\/(-18). Let u = m + s. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 9:39 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1580013*o**3 - 5*o - 1748 wrt o?\nAnswer: -9480078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fynynfyyaftyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/220)\/((-21)\/30).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 971*z - 50338. Calculate m(59).\nAnswer: 6951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, d: 14}. Give prob of sequence ddd.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-7))\/3)\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 1 + 15*v**3 + 0 - 25*v**3. Let r = -11 + -5. Let u = 18 + r. Let m(f) = -3*f**3 - f. What is u*j(z) - 7*m(z)?\nAnswer: z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s - 7. Let j be (1 + -2 - -1)\/(-2). Let o = j - 6. Is b(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -448*o**5 + o**4 - 895*o**2 wrt o.\nAnswer: -26880*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 285469.1 decades?\nAnswer: 2854.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2131\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - l + 3, -2*m - 22 = -24*l + 22*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, c: 4, a: 1, s: 7, i: 3}. Give prob of picking 2 m and 1 i.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mklkkmmkikkmlkmkmmmk. Give prob of picking 2 m.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -58233*o**2 - 3*o - 34761*o**2 + 2 + 21995*o**2. Let f be j(1). Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45942, -91885, -137826, -183765, -229702?\n\"Answer: s**2 - 45946*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15602416?\nAnswer: 2, 975151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10267 (b) 3 (c) 11.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*x - 116647 + 38737 = 0 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(-16)\/(-72)*15\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(140\/(-21))*(-16)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 3603*n + 288509. Give h(84).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1045 and 5885.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200100 - 103?\nAnswer: 2133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3569926*v**3 - 36*v**2 - 64*v - 34 wrt v?\nAnswer: -21419556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28308 (base 11) in base 5?\nAnswer: 2242201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 80. Let d(o) = 2*o**2. Calculate d(u(s)).\nAnswer: 18*s**4 - 960*s**2 + 12800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -107*p**6\/30 + 3*p**3\/2 - 132*p. Find the second derivative of t(i) wrt i.\nAnswer: -1284*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 63. Let u(v) = -10*v + 203. What is 14*j(b) - 4*u(b)?\nAnswer: -2*b + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.03 (c) -2\/201255 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/90 + h**5\/15 - 5*h**4\/36 + h**3\/9 - 5*h. Factor k(i).\nAnswer: -i*(i - 2)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*x, 0 = 2*z + 2*x + 2*x - 6. Let l be -6*(33\/z + -4). Solve l*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 6*2*sqrt(2592)*2 + 5)*-5)**2.\nAnswer: 172800*sqrt(2) + 37325200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 533 + 151*t + t**3 - 529 as j*t**3 + x*t**2 + h*t + s and give h.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000210 (base 3) to base 8.\nAnswer: -4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 80, 22\/13?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {b: 4, i: 6, r: 2, h: 1, s: 2, x: 2}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*i = -41, -4*i + 21 = 2*c - c. Suppose -4*x - 356 = -4*h - 0*x, c*x + 85 = h. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/637 and 155\/2058.\nAnswer: 26754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6466 - -113.1466. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 83, -0.2.\nAnswer: -0.2, 49, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 817200859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7988224 to the power of 1\/2, to the nearest integer?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 - 1 + 1 - 1943*g**2.\nAnswer: -1943*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23926139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 5 (c) -3 (d) -0.1 (e) 9\/56 (f) 4 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/9 + 251*u**2\/3 - 7703*u - 23865.\nAnswer: -(u - 645)*(u - 111)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -420*p + 519 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**3 + g. Let m be x(-1). Let u = -14 - m. Let r be (-18)\/(2 + u)*(-4 + 3). Solve -2*o = -0*o - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2801 - 551795\/197. Which is the second smallest value? (a) -2 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13159, -13095, -12997, -12871, -12723, -12559, -12385?\n\"Answer: -c**3 + 23*c**2 + 2*c - 13183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.7 - -88. What is the third biggest value in u, -9, 4\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:12 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-7)\/(-168))\/(6\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 280\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33182 and -1?\nAnswer: 33183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 19\/((-3230)\/185) + 14?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/20160 - t**7\/5040 + t**6\/72 - 8*t**5\/5 - 73*t**2. Let q(g) be the third derivative of u(g). What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 132 - 339 - 123 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6389187 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64*25\/2400)\/(2*(-2)\/(-414))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 5. Let a be f(-3). Suppose 0 = a*o + 2*o - 16. Let j(n) = -o + 2*n + n - 4*n + 0. Determine j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110000001 + -101?\nAnswer: 1100101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7716 - -0.5.\nAnswer: -3.2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13.1683, -1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 267 = 26*w - 288, 0 = 2*d + 6*w + 74 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Calculate the lowest common multiple of 1 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45297 = -96*l - 44049 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 11*c**2 + 23*c - 31. Give g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 183*v**8\/56 + v**4\/24 + 1871*v**3\/6 + 2375*v**2. What is the second derivative of g(f) wrt f?\nAnswer: 21960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8541 and 84123?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4848480658 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -920 + 516. Let h = 1497 - f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 0*w + 3\/20*w**4 + 0*w**3 + 0*w**2 - 8. Factor y(a).\nAnswer: 3*a**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**3*i*v**3 - 7918*d*v**3 - 181*i*v**3 + 37*i*v wrt d?\nAnswer: -9*d**2*i*v**3 - 7918*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4954 = 5*c - 986. Calculate the remainder when c is divided by 203.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 867\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 6.20418736178.\nAnswer: -5.80418736178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751002 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1063? (a) 3 (b) 5516.4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 9, 3, 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*j + 6 = 0, -4*z - j + 3 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 1, a: 1, g: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 6276345079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28705520*s**2 + 423381*s - 11 wrt s?\nAnswer: 57411040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181653 is divided by 2595.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 114*z**2 - 4*z + 4. Calculate c(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 15*i**2 - 3*i + 3*i + 4*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/3 + 8*g. Let w(s) = -2*s**2. Determine d(w(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.24 times -2671\nAnswer: -5983.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/73, -5\/2, -0.5, 63441?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1369 divide 369621525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -131. Let j be (-171)\/(-6)*q\/(-9). Suppose g + j = -5*s + 145, -5*s = 4*g - 353. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-1)\/4)\/((138\/148)\/(-23)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*i - 1047*i + 230 = -518*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - o = 180, k - 26 = 2*o + 19. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 b when three letters picked without replacement from {g: 1, b: 4, v: 2, h: 1, k: 4, o: 3}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5800.05g?\nAnswer: 5800050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 43. What is the second derivative of 22*o**3 - 22*o**3 + 14*o - i*o + 10*o**4 wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -1.41 (c) -1 (d) -8950\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1 + 1 - 21). Suppose 5*u = -4*d - n, -2*d + 1 = 5. List the prime factors of (-64)\/(-24)*(-9)\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10407 times -20\nAnswer: 208140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 2*a - 2. Let c(f) be the first derivative of -2*f**2 + 83*f - 6. Let v be c(20). Let s(t) = -3*t + 3. Calculate v*q(j) + 2*s(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3083.086 hours?\nAnswer: 11099109600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 + 8. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 195*q**2 - 375*q - 185.\nAnswer: -5*(q + 1)**2*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 5*s**2 + 4*s - 1. Determine i(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.5251613 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**3 + n**2 - n + 1. Suppose 0 = -4*j + 2 + 6. Suppose 0 = -j*l + 4 - 2. Calculate m(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.023 + -23.977. Let g = -23.97 - v. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 800.\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o*q**5 - o*q**2 - 3*o + 154*q**5 - 494*q**2 - 2 wrt q?\nAnswer: -300*o*q**2 + 9240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {v: 2, e: 4, l: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427 - 411. What is the smallest common multiple of k and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1821*p + 169*p**2 - 6*p**3 - 2184*p + 1423*p - 1365*p wrt p?\nAnswer: -36*p + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 7. Let b(i) = 3*i + 2. Let g(m) = -11*b(m) - 4*v(m). Let z be g(5). Which is smaller: 4\/5 or z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955325 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808 divided by -6?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -59.07. What is the closest to 2\/5 in 2\/9, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1592, 3, -5 in descending order.\nAnswer: 1592, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 - l + 2. Let m(h) = 9*h**2 - h + 2. Give -5*f(y) + 4*m(y).\nAnswer: -14*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**2 + 3*k + 5. Let s(z) be the third derivative of z**4\/24 + z**3\/6 - 22*z**2 - 15*z. Determine -j(o) + 3*s(o).\nAnswer: 9*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631 = -198*y + 494 - 3823 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-146)\/(-105) + (-122)\/2135. Let l be 2\/(-6) + 14\/6. Find a, given that 29\/3*a**l - 4\/3 - 7*a**3 - s*a = 0.\nAnswer: -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5662 is divided by 194.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 23 + 16)*(22*m**3 - 18*m**3 + 21*m**3) in the form j + s*m**3 + k*m**2 + b*m and give s.\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37289 minus 242421?\nAnswer: -205132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173405 or -173407?\nAnswer: -173405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.98 + -21. Let u = 0.09 + 0.01. Which is the closest to u? (a) -0.4 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -4)\/6 - 9083\/26691. Sort 0.3, 0, y in ascending order.\nAnswer: y, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201*f**2*i**2 - 11*f*i - 6*i**2 - 1 wrt f.\nAnswer: -402*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((3 + sqrt(76)*1)*5 - (-3 + sqrt(76) + -1 + 1)))**2 + -3.\nAnswer: 1152*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.36 - -45.297. What is y rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 345\/7? (a) -5 (b) -6 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 293, 301, 311, 323?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.3, -19, 2, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 509 = 5 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 913706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*a - 18*a - 19*a + 545*a - 98*a.\nAnswer: 160*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*d**4 - 190*d**2 wrt d.\nAnswer: -2688*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 90154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/120 + n**5\/30 - n**4\/6 - 2*n**3\/3 - n**2. Suppose 6*g - 50 = g. What is the remainder when g is divided by d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 1. Let j be a(1). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 18. Let q(r) = r - 4. Let x(w) = w - 4. Let p(d) = n*x(d) - 3*q(d). Determine p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 1. Solve 0 = 5*u - 2*q - q - n, -8 = -2*u - q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 302.24.\nAnswer: -906.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 54 = 8*h. Suppose -f = 2*y + h + 1, -4*f = 5*y + 55. Let s = y - -10. Calculate the highest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:00 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2077\/36565?\nAnswer: -2077\/36565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 20 = d. Solve 2*x + 0*x - d = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) 0 (d) -1\/17 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 2. Let n = 3 + -1. Let a be k(n). Is 10 a factor of 4\/12 - 130\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/672 and 94\/1935.\nAnswer: 433440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -0*z + 3*z + 3, 2 = -2*z + 4*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -68. Let y(a) = -2*a - 16. Let o be y(r). What is the third derivative of 6*l**4 - 6*l**4 + 17*l**2 - 65*l**o + 22*l**6 wrt l?\nAnswer: -5160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*f = -1248, -226 + 1882 = 4*i - 2*f. Calculate the remainder when i is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3497.\nAnswer: -2\/3497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15647, 15636, 15573, 15422, 15147, 14712, 14081, 13218?\nAnswer: 12087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 4*g - 0*g. Let t be (-1)\/((-1)\/g*-2). Suppose -4*r + 19 = 3*v, 0 = 4*v + r - 12 - t. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w - 3. Let b(f) = -12*f. What is b(l(o))?\nAnswer: -96*o + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -156.5 in -4, -12\/5, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + 0*l**2)*(3 - 3 - 2) - 6*l**2 - 2 + 2 - 7*l**2 - 3*l + 3*l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 9 = 103. Calculate the remainder when 40 is divided by g - (-4 - 6)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**3 + 33*o**3 - 97*o**3 + 22*o**3 + 29*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**4 + 4*f**2 - 4*f - 1. Let j(t) = -t**4 - t**2 + t. Suppose -5 = 3*z - 2. Let c(x) = z*n(x) - 4*j(x). What is the first derivative of c(h) wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -91*f + 4. Let g(p) = 79*p - 3. Let j(n) = 4*g(n) + 3*y(n). Let t(q) = 6*q**2. Determine t(j(z)).\nAnswer: 11094*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1838\/87 - 180\/29. Let n = j + 26. Which is the third smallest value? (a) -3 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27229?\nAnswer: 73, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 0*d**4 + d**4 + (0*d + 0*d + 2*d)*(-3*d**3 + d**3 + d**3) - 5*d**4 + 3*d**4 + 0*d**4 - 1054*d**4 - 1790*d**2 + 1790*d**2)*(-2*d + 0*d + 4*d).\nAnswer: -2118*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -697996325 by 5.\nAnswer: -139599265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3)\/(-1*(-2)\/2157) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73982090 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -22*q - 2. Let w be (-12)\/(-9)*6\/(-4). What is the closest to q in 5\/4, w, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -208. Let j be 104\/(r + -14)*-1*1. Solve 31 = -6*m + j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*b + 231 = 9153 - 40530 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -599*c + 3214. Let a be o(-49). What is the greatest common divisor of 390 and a?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5471 is divided by 3476?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 174*d**2 + 8394*d - 35520. Calculate h(-214).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-25)*5\/2. Suppose 4*g + n*b - 10 = 0, -g + 0*b = -b + 5. Is -3\/11 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 16) in base 9?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0\/(-1) - 5 - (-15 - -1) and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 2*x - 2*x**3)*(0 + 2*x + 0) + 3*x**4 - 109*x**2 + 53*x**2 + 52*x**2 in the form d*x**4 + b*x + g*x**2 + k*x**3 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)*(-18)\/(-6). Suppose r = g - 2*g. Let p = -450 + 449.8. What is the closest to 1 in p, g, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6149*n**2 - 14*n - 10. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -108. What is the second derivative of -n*o + 30*o**3 + 5*o**2 - 5*o**2 wrt o?\nAnswer: 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (71\/(-3))\/(5\/(-30)). Let s = r - 84. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*s + 113 = -2*h, -2*h = -3*s + 81. Let v be (-111)\/h + 6\/39*1. Suppose -v*d + 8785 = 1096. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4969*k**3 - 12*k**2 + 524*k - 60. Let n(s) = s**3 + s**2 + s + 5. Let r(p) = a(p) + 12*n(p). Find the second derivative of r(o) wrt o.\nAnswer: -29742*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 4. Let j be s(3). Let n be (-2)\/j + 19\/(-10). Suppose -615*t + 1 - 11 + 10 = 0. Is t greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0999*0.08\nAnswer: 0.007992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1345*p. Let j(l) = -1054*l. What is j(t(c))?\nAnswer: 1417630*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615813504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 3*q - 18, 0 = -2*o - q + 4. Solve 3 + 1 = -o*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 - 109*t + 707. Let c be l(7). Sort -3, -23, c.\nAnswer: -23, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205062 divided by -717?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 885, 7090, 23945, 56778, 110917, 191690, 304425?\n\"Answer: 888*w**3 - 3*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19691884 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + 1)*-99. Let l(d) = -4*d**2 - 88*d - 18. Let g be l(-21). Calculate the highest common factor of g and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42283, 42504, 42725, 42946, 43167, 43388?\n\"Answer: 221*a + 42062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1219185 and 4455?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309434 and 4313?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 + 3*a**2 - 4*a - 8. Let l be -2*3\/(-15)*(12 + -2). Let p be f(l). Is 34 a factor of (-4)\/(4 + p\/(-68))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 - 4*r - 2. Let l(b) = 6*b**3 - 9*b**2 + 21*b + 9. Let f(z) = 11*a(z) + 2*l(z). Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.235858163306 from -0.2.\nAnswer: 0.035858163306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2*a + 0*a + 24*a)*(a**2 - 8 + 8).\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**(-4)\/(j**0*j**(-7)) assuming j is positive.\nAnswer: j**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 694192.4 milligrams in kilograms?\nAnswer: 0.6941924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 + 6*c + 2. Let w be t(-5). Let n be 92\/12 - 1\/w. Suppose 62 = d + n. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 288 - 48. Calculate the remainder when 98 is divided by (n\/7)\/(((-24)\/21)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -1. Let n be 2*(i + (-9)\/(-6)). What is the units digit of (-3)\/n - 0\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*t = -468*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/34185493 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/41 or 0?\nAnswer: -42\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*h + 298*h + 316*h)*(18*h - 20*h + 1 - 2).\nAnswer: -1080*h**2 - 540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 23*n - 18*n + 20, -4 = n + 3*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -121*g**4\/2 + 3047*g**3 - 70393*g**2\/2 - 79776*g - 41472 = 0.\nAnswer: -1, 288\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46.9 and -1882833.\nAnswer: -1882786.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 10)*(4*y + 0*y - y)*(-16 + 16 - 15*y).\nAnswer: -495*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71 times 23\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10213212 - 1?\nAnswer: 10213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026318 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) -2\/21 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/380? (a) 1 (b) -1 (c) 1757 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 4. Let h = y + -8. What is the greatest common factor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.666332?\nAnswer: -0.466332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 4*n - 3. Let z = 4893 + -4897. Let i(x) = 15*x**2 + 7*x - 5. Give z*i(d) + 7*q(d).\nAnswer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (364\/74)\/((-15)\/(-2)). Let f = -1946\/2035 + 52\/55. Let i = g - f. Which is the closest to i? (a) -4 (b) 0.06 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*((c\/(((c*c**(-2\/5))\/c)\/c))\/c*c)\/c)**(-20) assuming c is positive.\nAnswer: c**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16976, 1, -48 in ascending order.\nAnswer: -16976, -48, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1384204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 167, 273, 377, 479?\n\"Answer: -v**2 + 111*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 8:50 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (8 - (2 - 4)) + 2 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.466 times 186\nAnswer: 86.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/26 + (2752020\/390)\/6. What is the highest common divisor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462*s + 13*s + 3125*s - 246*s + 2494*s)*(s - 4*s + s).\nAnswer: -9848*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Let c be d(5). Let t be c\/2*45\/(-6). Suppose -5 = 2*p - t. Let f(x) = 2*x - 2. Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {y: 1, k: 3, t: 1, s: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201399 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 24*s + 0*s)*(3 - s + 2*s**2 - 3 + 2).\nAnswer: -56*s**3 + 28*s**2 - 56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/15 - (-30)\/75) + 3. Which is the nearest to v? (a) 3 (b) -0.4 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -10757\nAnswer: -430.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from setbiteaiieiaesiibi. What is prob of sequence ateb?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**4 + 0*z**4 - 4*z**3 + 7*z**3)*(2*z - 1 + 1 + 2 - 2*z - 2 + (-2*z - 2*z + 3*z)*(5 - 4 + 1) - 2*z - 2*z + 3*z).\nAnswer: -21*z**5 - 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = -45*h - 4*h + 1139 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210405 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + -6*sqrt(960)*-2 + -5*((1*sqrt(1500) - sqrt(1500)) + sqrt(1500)))\/(5*sqrt(500)*-1 - -4*-1*sqrt(500)).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -231482 and -1.6086.\nAnswer: -231483.6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 393779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916200.\nAnswer: 2, 5, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155*2.394.\nAnswer: 371.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19414.209 and 1?\nAnswer: 19413.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652061 is divided by 354.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o + 27543 - 15004 = 15779 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -36730 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/30 - 3*s**4\/2 - 55*s**3\/3 + 1332*s**2. Calculate i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (-162 - -171 - -53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 23*d**9\/3024 + d**5\/10 - d**3\/3 + 8*d. Let k(r) be the second derivative of c(r). Find the second derivative of k(t) wrt t.\nAnswer: 460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2127.32 - 4508\nAnswer: -6635.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*f = -479*f + 1320 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3 + 5*b**2 + 5 - b**3 - 2 - 4 - 6*b. Suppose -2*n + 60 = 4*p + 2*n, -p + 30 = -2*n. Suppose -p = -6*s + s. What is i(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 201155 and 193785 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 - -3 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04 - -22.56. Let h = 24 - s. Let n = 0.05 + -0.35. Put 0.8, h, n in ascending order.\nAnswer: n, h, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 8539*x + 5037529. Calculate r(554).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 6*z**2 - z + 11. Let n(f) = f**3 + 3*f**2 - 5. Let h(w) = 5*n(w) + 2*t(w). Suppose -306 + 334 = -7*o. Give h(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u*u\/(u**(1\/13)\/u))\/u))*u*u*u))\/(u\/(u*u\/u**(-2\/3)*u)))\/(u**0\/u*u**(2\/9)*u) assuming u is positive.\nAnswer: u**(-173\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.203 + 63.797. Let c = 214068 - 214003.99784. Let m = b - c. What is m rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 8*t + 7. Give p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*a - 49*a - 3*p - 36 = 36*a - 168, 242 = -17*a + 2*p for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (31 - -5) - 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -879.6 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-32))\/(((-5)\/2)\/(-5)). Let g = -0.927 - 0.033. Let u = 1.03 + g. Put u, y, -7 in ascending order.\nAnswer: -7, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from {a: 2, u: 1, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -677.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(14)\/(sqrt(162)*-2 - sqrt(162) - sqrt(162) - sqrt(2)).\nAnswer: -sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359395391 and 21232.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyoololjoools. What is prob of sequence cs?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 8*d**2 + 16*d - 11. Let r be y(6). Let o(h) = 8*h**2 + 14*h**3 + 9 - r*h**3 - 2*h + 0*h. List the prime factors of o(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + 0.85. What is w rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - q + 2. Let p be g(-2). What is the common denominator of -41\/8 and (-323)\/60 + p\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3756 + 5418 = k. List the prime factors of k.\nAnswer: 2, 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 3}. Give prob of picking 2 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -8\/300407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, -9.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*o**3 + 42*o - 42*o + (-2*o**2 + 2*o**2 + o**2)*(8 + 2*o - 8) + 2 - 2 + 11*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}