diff --git "a/data/dm_maths/full_data_2/11083_11255.jsonl" "b/data/dm_maths/full_data_2/11083_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11083_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 4485 (base 16) in base 4?\nAnswer: 10102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 * 11.8\nAnswer: -814.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**5 - 5*r**5 - 9*r**5)*(6 - 2 - 2).\nAnswer: -46*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/3 + n**2\/2 - 2*n. Suppose 0 = 2*j, 6*w - 3*j + 5 = 11*w. What is q(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -298775\/82 + 3644. Calculate the common denominator of d and 43\/10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3*b - 5*b)*(0*b + 3*b - b + (2 + 1 + 0)*(0*b - b + 0*b) + 3 - b - 3 + 2*b + 3 - 3 + (-6 + 4 + 0)*(2*b + b - b)) as i*b**2 + y*b + j and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*m + 803 - 388 - 395 to the form p + r*m and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 2*v**2 + v + 4. Let c be q(-3). Let k be (-2284)\/(-26) - c\/(-65). Suppose -16 - k = -8*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5a4 (base 15) in base 4?\nAnswer: -23001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6824 divided by 4\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -25*z + 31*z. Let p(n) = -n + 3. Is 6 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(-2)*((-2796)\/7 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*a**3 + 100\/3*a**2 - 748\/3*a + 484 = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10652.\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 127 - 27 = 0. Is 14 a factor of z\/(-1) - (-3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlliiriipirillr. What is prob of sequence ipl?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 31*n**2 - 11*n + 1. Let d be v(-10). Suppose p - 707 = 2*y, 705 = 12*p - d*p - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 474*z + 471*z - 5*z**3 - 1199*z + 254*z.\nAnswer: -5*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = -4*t - i - 849, -5*t - 180*i + 177*i - 244 = 0 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwg. Give prob of sequence wwwg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(150) - 3*sqrt(150)*2))\/(3*sqrt(432)*3 - sqrt(432)).\nAnswer: -3 + 25*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = 8*r + 108. Solve 2*x + x - 4*p + r = 0, -5*x = 3*p + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 8311 = -805*r + 341 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/((-28)\/70)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-7636))\/((-20)\/160).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*y = 23 + 13, -5*b + 54 = y. Let w(c) = -2*c + 25. Let q be w(b). Solve 6*z - 5*u = 3*z - 6, q*z + 3*u = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -0.54, 8, 4\/3?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(847) - -2*sqrt(847))*-5)**2.\nAnswer: 190570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9075695 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 3*j**2 - 2*j. Let t be k(4). Suppose 25 = 3*g + 43. Let o be 2\/g - (-80)\/t. What is the nearest to 0 in 4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3402 - 3287. Solve 7*q = 73 - u for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2 = 4*n, -472*n + 474*n - 8 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2366489488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -5, -53, 2 in descending order.\nAnswer: 2, -5, -46, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/(-5)*2\/4 and (-399)\/(-12)*18\/105?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + 6*q - 5. Let r be l(-7). Suppose -3*f = -2*c + 5 + r, -2*f = 5*c - 27. Calculate the highest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d**2 - 20*d + 5. Let n(p) = 7*p**2 - 7*p + 2. Let m(f) = -6*k(f) + 17*n(f). Let l be (6 - 2) + (-11 - (-17 - -10)). Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -4 + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1367*v + 513*v + 2138*v as f*v + o and give f.\nAnswer: 4018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 70 = -3*x. Let z(i) = 30*i - 14. Let f = -4695 - -4698. Let y(m) = -6*m + 3. What is f*z(n) + x*y(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2))**32*b\/b**6*b\/b**(1\/5))**(-6))**(8\/19) assuming b is positive.\nAnswer: b**(8688\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.2 + -3. Let i = b - -18.20682. Round i to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -119. Suppose 4*c - b = 2*c. Let p be (2\/2)\/((-1)\/(-3)). What is the greatest common divisor of c and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/52484 and -21\/1364584?\nAnswer: 1364584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172981979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 0*z**2 - 2*z**2)*(-z - z + z) - 12*z**3 + 59*z - 59*z as t*z**2 + o*z + h*z**3 + k and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12 + (-718 - -730) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 8*z**2 + 6*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Solve 0 = -0*x + 2*x + 4*p - 22, j = 5*x - 3*p - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-602*k + 602*k - 36*k**2)*(1 + 1 + 2) - 3*k**2 + 28*k + 13*k - 27*k to the form n*k**2 + u + i*k and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492 - -492.233. Let f = t + -0.22. What is f rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/12954 and 32\/11?\nAnswer: 142494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*l**2 + 27*l**3 - 48*l**3 - 16*l**3 + 148*l**2 - 327*l**2)*(-4 + 1 + 2).\nAnswer: 37*l**3 + 286*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(6\/(-3))\/18. Let j = -140\/33 + s. Find the common denominator of -39\/11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 - 10864 = -16*t. Let b = t + -642. Suppose -5*x + 102 = 22. Solve 0 = 2*q + 5*p + 20, -b*p - x = 4*q + p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 20 = 0. Let l be (-2)\/b + (-24)\/(-15). Suppose l*w = -2 + 22. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -0.05 (b) 0.3 (c) 3 (d) -4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 12:50 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**5 + 3*d**4 - 3*d**3 + 5*d**2 + 6*d. Let v(g) = g**5 + g**4 - g**3 + g**2 + g. Let w(i) = -t(i) + 6*v(i). Determine a, given that w(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/292190 and 109\/728?\nAnswer: 106357160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(55)\/((sqrt(66) + (sqrt(66) + sqrt(66) + (sqrt(66)*-4 - sqrt(66)) + sqrt(66) - sqrt(66)))\/sqrt(6) + sqrt(11) - sqrt(11)))**2.\nAnswer: -2*sqrt(5) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 162208?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(3\/36*-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -8747678 = -8747681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/4 - 25*z**3\/3 + 14*z**2 + 48*z - 5. Let p be a(-26). Let q = p + 10. What is the highest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3483*-15.2.\nAnswer: 52941.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - 77 - (-2 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 4*m + 4. Let p(g) = -2*g**2 + 6*g + 9. Let w(n) = -n. Let u(x) = p(x) - 3*w(x). Give -2*u(h) + 5*z(h).\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-2530)\/(-552)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 3*i + 3*i)*(i - 4*i + i)*((2 - 2 + 2*i)*(3 + 0 - 2) + 3 + i - 3).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 87. Let x be b(14). Suppose x*f = -f + 233056. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = 0, 2*s = -4*q - 0*q + 8. What is the units digit of (-4)\/(s + (-76)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6172713564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/5)*u**15*u assuming u is positive.\nAnswer: u**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 4, 65 in descending order.\nAnswer: 65, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i - 3. Let l be m(4). Let d = l + 24. Let z(g) = -12*g**2 + g + 7. Let h(u) = -18*u**2 + u + 10. Let f(r) = 5*h(r) - 7*z(r). Calculate f(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**7\/210 + a**6\/360 - a**4\/12 + a**3 - 3*a. Let u(k) be the second derivative of p(k). Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 - 4*k - 11*k**2 + 5*k - 2 - 2*k as p*k + g + d*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-330)*-2*-3.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let c(h) = 3*h**2 - 5*h. Let j be (3\/3*-10)\/(-2). Let k = 10 - j. Suppose -3*l + k*l + 19 = 3*n, -3*l - 24 = -3*n. What is l*i(r) + c(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 85 = -3*u, 2*u + 5*s = 102 - 27. Let b = -104 + 176. What is the remainder when b is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 278096967801*w**2 + 45352014*w + 1849.\nAnswer: (527349*w + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - 4*m)*(-m - 6*m + 3*m + (-m - 2*m + 2*m)*(-2 - 1 + 2) - 153*m + 22*m - 19*m).\nAnswer: 306*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 3. Let g = 2.3 + -2. Which is the nearest to k? (a) 4 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let n(x) be the third derivative of x**4\/8 - 41*x**3\/3 - 120*x**2. Let u be n(29). What is the highest common factor of o and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(((-57)\/(-18) + -3)\/(8\/(-24))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**3 - 97*y**2 + 12*y - 25. Let l be o(-14). Solve -2*c = -l*i + 5, 4*i + c - 10 = 2*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 14. Let b(z) = -z + 5. Let q be b(0). Suppose -q*n - 3*v = v - 171, w = -v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 3*g + 9. Let m(t) = 4*t**2 + 11*t - 36. Let i(a) = 2*m(a) + 9*x(a). Let n be i(-6). Solve 4*o + 5*u + 3 = 0, 2*o - 8*u + n*u = -9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 29812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(((sqrt(192) - sqrt(12)) + sqrt(12))*-2).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/9 + 118*w**4\/9 - 266*w**3 + 18050*w**2\/9 - 27436*w\/9 = 0. What is w?\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 + 0\/(6 - 4). Let k(r) = 199*r**2 + 3*r - 1. Let m be k(2). Suppose -9*q + x*q = -m. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-44))\/((-3)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -711*n + 8502. Determine i(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 0*f**2 + 8*f**2 + 6*f + 10*f - 2*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238*(9 - 413\/(-14)) - 0?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1523336 and 2.1.\nAnswer: 3199005.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 160.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*m - 1293, m + 2*m = -k + 439. Let g = -205 + k. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 111 + 54 + 57 + 4319*d**2. Let c be w(5). Round c to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 7}. What is prob of sequence gqg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -1080?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 + 5*a. Let n be h(-6). Let t = 1 - n. Suppose 14 = 76*w - 138. Put -3, t, w, 6 in decreasing order.\nAnswer: 6, w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228581179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 58974.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 36210 + 36969 = 5*z, 0 = 4*o + 4*z - 176 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, -73, -5\/19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 - 319?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24106 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/4 - 2*x**3 + 5*x**2\/2 - 8*x - 4. Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*n + 3. Suppose 8*y - n = 7*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 73*k + 1793. What is n(-22)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4826*g**2 + 7512 wrt g?\nAnswer: 9652*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/98)\/(((-60)\/21)\/(-10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 4, -444\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 37 + 57. Let h(u) = u**3 + 1. Let l(o) = -o**3 + 6*o**2 + o - 6. Let j(w) = -2*h(w) - l(w). What is j(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 5*y + 5. Let q(o) = -o**2 + 2*o + 2. Let h = 495 - 491. What is h*k(t) - 10*q(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 12) in base 10?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/38189?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96391495 to the nearest integer?\nAnswer: 9818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2064952 * -3.\nAnswer: 6194856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r. Let k(c) = 5*c**3 + 4*c**2 - 12*c - 6. Let j(o) = 6*g(o) - k(o). Let m(h) = -h**2 + h + 1. What is j(y) - 6*m(y)?\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 40 + c - 23)*(-2 + 2 - 2).\nAnswer: -2*c + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -26. Calculate the common denominator of (-99)\/g + (-6)\/8 and 55\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*l - 64, -120 = i + 4*i + 5*l. Let s = 36 + i. What is the third biggest value in s, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -1)\/((-3)\/(-12)). Let r = 12 + y. Does 5 divide r\/6 - 204\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 9838889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31142, -62282, -93422, -124562, -155702, -186842?\nAnswer: -217982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 58\/3 of a week?\nAnswer: 3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1478, 1986, 2772, 3836, 5178?\nAnswer: 6798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = 4*d - 2*h, -357 = 4*d - d - 2*h. What is d rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:43 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6*f + 4*h - 6*h = -95, 3 = h + 3 + 2 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334239808.\nAnswer: 2, 7, 257, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -35*w - 5\/12*w**4 + 0*w**2 + 10\/3*w**3 + 0. Factor n(z).\nAnswer: -5*z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*(s\/(s\/(s**(-2\/25)\/s)))\/s assuming s is positive.\nAnswer: s**(73\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/33))**(-29)*(j\/j**(-4))\/j**(-6\/7))**16 assuming j is positive.\nAnswer: j**(15152\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24773334 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*k + 1065 = 568*k. Let v = k + -208. Solve -6*t + v*t = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 2*b**2 - 1. Suppose 8 + 2 = 2*k. Let r = 4 + 2. Suppose 0 = w - r*w - k. Give n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311726016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.75 - 1.34. Let h = -0.11 + f. Let l = -0.737 - h. Round l to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -14*r**3\/3 + 5*r + 12. Find the first derivative of l(m) wrt m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129968, -259934, -389900, -519866, -649832?\n\"Answer: -129966*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j**2 + 10*j - 110. Let i be g(6). Are 706 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1314?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from {t: 1, u: 3, c: 4, w: 2, n: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvnvviviij. What is prob of sequence injv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(-6*sqrt(2299)*2 + sqrt(2299))*-5)**2*4.\nAnswer: -250361100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366 and 10.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1789 + 5287. Suppose m = 41*g + 12*g. Suppose 5*j = -15, 2*j = 4*q - j - 185. What is the highest common divisor of q and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.04 + -4.24. Let t = 0.01 + 0. Let d = 2.99 + t. What is the biggest value in d, 0.2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 10*v + 2. What is j(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 178*w**2 - 2*w + 1. Let s be u(-1). Let b = -145 + s. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 2. Let i(r) = r - 1. Let k(y) = 2*i(y) + v(y). Suppose 4*o = -5*d - 4, o - 2*o + 12 = -2*d. Calculate the remainder when 6 is divided by k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 15*y + 10.\nAnswer: 5*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -55*v - 16. Suppose 288*z - 46*z - 1720 = -102*z. Let x(p) = 37*p + 11. What is z*f(n) + 7*x(n)?\nAnswer: -16*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 n, and 1 r when four letters picked without replacement from {r: 18, n: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - y + 3 - 1, w = -y - 2. Let f = 0.94 - 1. Let d = 0.34 - f. Put w, d, 0.1 in ascending order.\nAnswer: w, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -163, -245, -327, -409, -491?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*c = 12, -2*g - 3*c - 1 = -21. Solve 3*i - 27 + 29 = 2*n, 3*i = g*n - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4701916, -4701979, -4702040, -4702099, -4702156, -4702211, -4702264?\nAnswer: -4702315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*l - 25, -5*s = 3*l - 35 - 17. Suppose 0*u = -u + l. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8140 divided by 72?\nAnswer: -2035\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 13\/5. Let j = -177 + 118. Sort 0, n, j, 4 in decreasing order.\nAnswer: 4, 0, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g + 5*t, 2*t = 4*g + 24. Suppose -1575*o + 389*o = -22525 - 4753. Sort -1, o, 0, g in decreasing order.\nAnswer: o, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 628, 2269, 5476, 10771, 18676, 29713?\n\"Answer: 87*z**3 - 12*z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -2)*((-105)\/(-12) + -2). Let p be (14\/(-3))\/(1\/w). Suppose -10*v + 9*v = -p. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*-4 + sqrt(13))**2 - (2*sqrt(130))\/sqrt(10).\nAnswer: -2*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*p = 38232, 2*p + 3*p = 3*m - 22936. Let v(w) = -w**3 - m*w + 0*w**2 + 21*w**2 - 6 + 7674*w. What are the prime factors of v(22)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -157473 and 85517?\nAnswer: 242990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-2)\/5). Let q be -18*(n + (-29)\/(-3)). What is q rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/3*-3*4\/14. Suppose -170 - 4434 = -h*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381911380 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319 - 312. Is r bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/4 - 10*v**3\/3 - v**2 + 9*v + 6. Let w be i(10). Let l = 19 + w. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 8. Let b be j(-7). Suppose -2*l - 26 = -4*x, 0 - b = -x + l. Suppose -k - x = -127. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/(7\/(-5)). Let j = -1429 - -10005\/7. Factor -j*v + n*v**2 + 0.\nAnswer: 2*v*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617857 is divided by 1999.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*t - 3348 = 15*t + 6636. What is the smallest common multiple of 474 and t?\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.7677 centimeters in meters?\nAnswer: 0.307677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 4*f - 2 - 6*f)*(8 - 3*f + 16 - 38)*(11 + 0 + 1).\nAnswer: -108*f**2 - 432*f + 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -84, -105, -112, -105, -84?\n\"Answer: 7*i**2 - 56*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 563, 4132, 13745, 32426, 63199, 109088, 173117?\n\"Answer: 504*u**3 - 2*u**2 + 47*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/21)\/(-2*(-10)\/14)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/20 - (-1)\/(-4)*-6. Let s = -1.8 + 2.9. Let c = 3.9 + s. What is the nearest to -0.1 in 1, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2244936, 2244935, 2244934, 2244933, 2244932?\n\"Answer: -s + 2244937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 21*v + 322 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i**2 - 16*i - 48. Suppose 0*g + 3 = g + 3*j, 4*g - 82 = 2*j. What is the least common multiple of r(-2) and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*p**5*t + p**4*t - 15*p**3 - 329*p**2*t + p**2 - 3*p*t wrt p.\nAnswer: -1680*p**2*t + 24*p*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pps when three letters picked without replacement from {p: 2, a: 4, r: 6, s: 3, m: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9051a (base 13) in base 11?\nAnswer: -166860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/((-60)\/(-18)))\/(-3*(-63)\/(-14))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 97 = -3*l - 30, 4*l - 106 = 3*a. Suppose l = -4*r + 25. Do 14\/55 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2081023 - 1?\nAnswer: -2081024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let j(c) = -c**2 + c - 1. Let s(v) = -9*v + 9. Let l(i) = -9*j(i) - s(i). Determine x(l(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 5*u - u**2 + (3*u - 2*u + 0*u)*(-1 + 2 + 1)*(-3*u - 3*u + 3*u) to t*u + o*u**2 + l and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 28.31, -3, -8, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 825 by 5.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/3 + 16423*o**4\/3 + 16855126*o**3\/3 - 4231232*o**2\/3 - 16855130*o\/3 + 4214809\/3 = 0. Calculate o.\nAnswer: -2053, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w. Suppose 2*a - 4*q = w, -8 = -a + q - 4. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 5c4ca45?\nAnswer: 5c4ca44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -4, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -11 + 0*i**3 + 7\/2*i**4 + 15*i + 0*i**2. Differentiate b(n) wrt n.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(-60)\/(-88) + (10 - (-176)\/(-16)) and -34\/16969.\nAnswer: 186659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414181368 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))**(-2\/3))**(1\/4)\/(c*c**(1\/3)*c\/(c\/(c\/(c*c*c**(1\/3)*c)))*c**(2\/7)*c**(2\/3)\/c) assuming c is positive.\nAnswer: c**(97\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5\/7 - 688626*g**4\/7 - 5647175628*g**3 - 1501482189048*g**2\/7 - 2686469170176*g - 11061138063360 = 0.\nAnswer: -114752, -14, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0)\/(-3)*-2. What is the units digit of -7*(-1)\/(h\/(-14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 26 + 3\/(-3). Suppose 20*l + 40 = n*l. Suppose 10 = 5*h - 4*g - l, 18 = 3*h - 4*g. Put 2, h, 5 in ascending order.\nAnswer: 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-20) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 266*i + 22. Let x be k(3). Let t be -3*(x\/135 + -6). Which is the closest to 1? (a) 0.5 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 1454 - 6883 = 0. Let f = a + 16659\/14. What is the common denominator of f and 178\/(-60) - (-2)\/(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqoa when four letters picked without replacement from {o: 2, a: 1, q: 1, n: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -693 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/997 + -2032\/18943. Let c = 1529 - 1528.6. What is the closest to 0.3 in c, -9, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*w + 2 = -w, 3 = -3*d + 3*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 108\/16)\/(15\/(-48))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -16, 34, 136, 308, 568, 934, 1424?\n\"Answer: 3*s**3 - s**2 - 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -721 + 723. Let g = 5 + -1. Calculate the highest common divisor of w and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60*(-5)\/((-30)\/9). Let f = s + -85. Solve -12 = 5*o - z, f*z + 2 = 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (93 - 1))*(570\/20 - 29)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46256\/11077 - -6\/1007. What is the common denominator of (-6)\/(-27) + (-493)\/(-90) + 3 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-119)\/(-42))\/((-1)\/(-6)). Solve -o + 7 = 2*n, -n + 0*n + 4*o = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**3\/3 - 4*y**2 - 26*y - 42. Determine j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 99*t**2 + 2*t. Let c be g(2). Let q = 4003\/10 - c. Calculate the common denominator of 1 - 159\/(-27) - 2 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -515*n**4\/6 + 199*n**3\/3 - 799*n. What is the second derivative of q(h) wrt h?\nAnswer: -2060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -n + 34 - 41, n = 4*x + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f. Let b(a) = 7*a + 4. Let i(m) = 15*m + 9. Let z = -11 + 15. Let g(x) = z*i(x) - 9*b(x). Give g(d(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -991 + 988. Let n(g) = 7*g - 1. Let k(i) = -11*i + 50*i - 18*i - 2 - 1. Calculate h*k(c) + 8*n(c).\nAnswer: -7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -3*l**4\/4 - 393*l. Let p(s) = -s**3 - 2*s**2 + 6*s + 1. Let j be p(-4). Let y(q) = 0*q - 5*q - q + j*q. Calculate b(y(c)).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggm when three letters picked without replacement from {g: 2, a: 8, m: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 80. Let k = 0.1 + -0.1. Which is the nearest to k? (a) 0.1 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 25\/1332 (c) 0 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-2)\/(-24))*290\/87?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 30. Is 135\/20 - (-10)\/x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237089?\nAnswer: 237089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*m = 6, 3*o - 6 - 4 = -m. Let q be (1 + 0 + 1)*3. Let n be 3*(q\/(-9) - 0). Which is the nearest to 0.1? (a) o (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n\/(n\/n**(6\/13)))*n*n**(-4))**20)**(2\/49) assuming n is positive.\nAnswer: n**(-2320\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2641 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = -n. Let q(d) = -d**3 + 4. Let y be q(n). Solve -6*z = -y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -635 = 22.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6226611 (base 7) to base 11.\nAnswer: -46aa91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 1 + 4*a)*(2 - 6 - 1)*(13 - 5 + 4).\nAnswer: -60*a - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 14*x - 9. Let d be f(6). Suppose 0 = -3*u - 5*t + 56, 66 = u + d*u - 2*t. Calculate the remainder when 31 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 55 + 25. Suppose -5*v + 3*v = -4. Let z(f) = f**2 + 2*f - 1. Let h be z(-5). Solve -v*g = 5*w - d*g - 3, 2*g = -2*w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -1)**2 - (sqrt(605) + (-2 + sqrt(605))**2).\nAnswer: -563 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5, -22 in descending order.\nAnswer: 5, 4, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s + 1321 = 164 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -100, -2\/7, 1\/3, -456, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 10. Let f be d(1). Let l(m) = m**2 - 5*m + 6. Let z be l(4). Suppose -z*r = -f*r + 57. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 - -0.1. Suppose 0 = -3*f + 2*f. Let q = -27923.5 + 27924. Which is the second smallest value? (a) q (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -62. Let w be 4\/(-2) - (-3 - 2). Let d(c) = -c**3 + 3*c**3 + 2*c**3 - c - 5*c**2 + w*c**2. Give d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418 + -206. Let t = 219 - z. Let l(q) be the first derivative of q**2\/2 - 13*q - 2. Determine l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) -1\/8 (d) -1.24 (e) 0.4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 149\/151?\nAnswer: 149\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:06 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 276. Let z = 211\/370 - 10\/37. Which is the biggest value? (a) d (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + -157. What is the remainder when s is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/105, -3, 3\/4, 1, -5, 2\/35, -2\/331?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 32 - 88 + 22209*p**2 + 203.\nAnswer: 22209*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - -5 - (-19 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903 - 15 = -9*d. What is the remainder when d is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -137\/3. Let r = -557.8 - -558. Which is the nearest to r? (a) t (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*q = -5832, -4*s - 4*q = -6*s + 2894. Suppose -s = -7*h + 2899. What are the prime factors of h?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14782, -14640, -14472, -14266, -14010?\n\"Answer: 2*x**3 + x**2 + 125*x - 14910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 3 - 5*a**3 - 5*a**4 - 2*a**3 + 5*a**3 - 13 + 5*a**3 to the form v*a**4 + p*a + o + c*a**3 + g*a**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*(-4)\/(-24))\/(3\/(-42)). Suppose v*f + 131 = 593. Let c(g) = g**2 + 6*g + 9. What is the lowest common multiple of f and c(-6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 156\/7, -2, -370?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 414 + 417 + 791*z**2 + 521*z**2 - 832 to the form h + u*z**2 + t*z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421*20.2.\nAnswer: -8504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j**4 - 3*j**4 + (2*j - 2*j + j**2)*(-3 - 4 + 6)*(7*j - 17*j**2 - 7*j + 3*j**2 + j**2 - 2*j**2 + (5*j + 2*j - 4*j)*(-j - 1 + 1)).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 431499637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from nzzyyyshynssssnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. What is the second derivative of 5*y**v + 18*y - 5*y**4 - 18*y**4 wrt y?\nAnswer: -216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g + 1. Let w be p(1). Let v be ((-5)\/25)\/(4\/w). Let f = 10 - 10.1. Put v, f, 3 in decreasing order.\nAnswer: 3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/378 - 88\/14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2222*c**4 - 21*c**3 - c**2 + 28884*c - 1 wrt c?\nAnswer: 53328*c - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167467096 - 407*d - 167467096.\nAnswer: -407*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*h = 226*h - 10800. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -3*q**4\/22 - 14*q**3\/11 + 12*q**2 - 652. Factor l(n).\nAnswer: -6*n*(n - 4)*(n + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(1\/3*3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301 + 9589. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 25. Let o(y) = 4*y**2 + 9189. Determine o(m(v)).\nAnswer: 4*v**2 + 200*v + 11689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w - 57. Determine s(6).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/12 + 5*a**3\/6 + 3*a**2 + a. Let n be w(6). Let b(r) = 11*r + 125. Let o be b(-11). Solve -3*p - p - o = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -84. Let c(z) = -z**2 - 6*z. Let k(j) = 4*j**2 + 31*j. Suppose s - 13 = -7. Let t(u) = l*c(u) + s*k(u). Find the second derivative of t(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297307810 divided by -18358?\nAnswer: 16195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -2*j + 28. Let q(v) = 115*v - 15. Let z(p) = -115*p + 16. Let c(b) = 7*q(b) + 6*z(b). Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(54\/(-216))\/((-9)\/702).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccfcwfccypffccy. Give prob of picking 2 f and 1 w.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*u - 8 - 9 = 0, 2*u = -5*g + 51. Solve -32*k - g - 57 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -18) + (-41 - 5 - -16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*f + 11 + 29 = 0, f = -2*k + 1. Solve 0*c - 5*c = 2*m + 3, m = -4*c - k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285459 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1399?\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let o = d + -1. Let a = 60 - 298\/5. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*(-5324)\/(-19965).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2088252 and 59\/54178538.\nAnswer: 975213684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/30 + n**4\/24 + n**3\/3 + 48*n**2. Let m be w(-1). Solve -9\/4*t + m*t**2 + 1\/2 - 5\/4*t**3 = 0 for t.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from sswsozssswpooz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - t + 2*r = 5*t - 40, 4*r = 8 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 - 2 - -1 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 4*f - 9. Let o be 5 + -3 - (21 + -2). Let d = 25 + o. Calculate the remainder when d is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 12*b - 2 + 11*b + 3*b**3 in the form s + u*b + o*b**3 + a*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(8))\/sqrt(9)*-4.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 10) to base 3.\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43611075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13198235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/(2\/(-578)). Suppose 76*i - 45 = 67*i. Suppose 0 = i*s - a - 101. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/3*(-1)\/2. Suppose 42 = s + 5*q + 29, -3*s + 11 = q. Solve -21 = -s*i - d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 37 = -3. Suppose 2*u - m = -1. What is the highest common divisor of 56 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35849 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794927.\nAnswer: 3, 223, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1280*t**2 + 3*t - 2. Let o(k) = 2561*k**2 - 7*k + 4. Let n(g) = -4*o(g) - 9*r(g). Is n(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -194?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z - 6*z**2 + z**3 - 10 + 7*z + 0*z**3. Give b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -5*g - 41, -j - 2*g + 18 = 0. Let r = 838 - 740. Calculate the highest common factor of r and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602529 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/111 (b) 0.1 (c) 1\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g - 5. Let d be o(-4). Suppose -d*r - 173 = -2*p, -338 = -7*p + 3*p - 2*r. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**5 + 0 + 0*b**4 + 1\/3*b**3 + 0*b - 1\/120*b**6 - 2*b**2. Differentiate w(r) wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywyh when four letters picked without replacement from {h: 1, w: 1, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23125 - 9971. List the prime factors of m.\nAnswer: 2, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.15 - -4. Let b = -15.0552 - -15.2. Let z = b + a. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -3*k. Calculate the highest common factor of k and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2 + 50*d + 2. Let j be c(5). Solve -4*q - 3*n = -6, -q - j*q = 3*n - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + -5 - (3 - (-3 + (-1 - -4)))) + 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1000 and -0.054.\nAnswer: -1000.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 427, 638?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 7. Let u be w(-3). Suppose -3*b = -5*b + 4*d + 140, -5*b + 326 = -u*d. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-131*c + 1661 - 817 - 847).\nAnswer: 131*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37529435?\nAnswer: 5, 271, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 439182*j + 24158035.\nAnswer: -(j - 439237)*(j + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose 0*a - 20 = -i*a. Suppose -5*r = -a*r + 60. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.559 - -0.014. Let i = -0.045 - l. Let w = i - 0.4. Which is the closest to w? (a) -4\/11 (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 72, 3, 4, -1 in decreasing order.\nAnswer: 72, 4, 3, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 6*v**2 + 6*v + 8. Let r be b(4). Let u(h) = -h + 7. Let j be u(-11). Solve r = -4*w + 2 + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 450\/20 - ((-3)\/(-2) - 1). What is the greatest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let z = 97708.5 + -97708. Let w = 1 + -2. What is the nearest to y in w, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -176\nAnswer: -8272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 14. Which is the smallest value? (a) 7\/3 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from pvvvpvvvvvpv?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 - 6*h - 8. Suppose 6*g = 10*g - 24. Let q be k(g). What is the tens digit of (-2 + (0 - q))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 165, -179, -901, -2139, -4031?\nAnswer: -6715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 9:48 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 + 94 - 182 - 1680*p to the form k*p + c and give k.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3455545 (base 8) to base 6\nAnswer: 32100005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 plus -118161764?\nAnswer: -118160067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 46 = 0. Let i be k\/(-8) + 3\/(-4). Solve 2*u + 18 = -u - 3*m, 4*m + 29 = -i*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uatstustsutaus. Give prob of picking 4 s.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516 (base 8) to base 2.\nAnswer: -101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -9f01?\nAnswer: 9f0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2286, -4578, -6868, -9156?\nAnswer: -11442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + v**4 - 18*v**3 - 18*v**2 + 81*v + 81.\nAnswer: (v - 3)**2*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -963.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4173, 4172, 4171?\n\"Answer: -a + 4174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288250971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-582)\/(-6596))\/((-6)\/4)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024461449 to five decimal places.\nAnswer: -0.02446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*5)\/sqrt(11) + 3 + 3 + 1*sqrt(11) + (sqrt(132) - (sqrt(132)*2 + sqrt(132))*-6 - sqrt(132))\/(1*sqrt(12)*5).\nAnswer: -2*sqrt(11)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*((-12)\/3 + 5). Which is smaller: x or 45\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = -j, 0 = -3*j + 3*y + 6 + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-105) + (-138)\/(-182). Factor -56\/13*v + g*v**2 + 64\/13 + 2\/13*v**3.\nAnswer: 2*(v - 2)**2*(v + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 4 - 3 + 5 - 2.\nAnswer: -10*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -134363*t + 45. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**3 - 6*x**2 - 6*x - 7. Let w(p) be the first derivative of p**4\/4 - p**3\/3 - p**2\/2 - p - 47. What is -a(j) + 6*w(j)?\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/7 (b) -5 (c) -3 (d) 2\/173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (1*(sqrt(170) + sqrt(170)*-2) - sqrt(170) - sqrt(170)) + sqrt(170))\/sqrt(10).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2129033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 - -2. Let n = b + -1.3. Let s = n - -0.8. What is the nearest to 2\/5 in -1, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 41*l + 105. Give u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8055 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 159. Let k = 47 + f. Let o = k - -3. Solve -4*d - 6 = 2*m, -o = 3*d - 2*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - (-14 - (-40 - -114))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 36 - -19 - 60.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476595813?\nAnswer: 3, 158865271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.4, 0.2, 1\/3, 0.3, 3\/2 in descending order.\nAnswer: 3\/2, 1\/3, 0.3, 0.2, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.02. Let n = 0.04 + b. Let r = n - -0.18. What is the closest to -1\/3 in -1\/6, 0.3, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let x(i) = 8*i - 5. Is 9 a factor of x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/20339 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, m: 5}. What is prob of sequence www?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 68796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9899.9975655 + 9900. What is u rounded to 5 decimal places?\nAnswer: 0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 36 = -11. Suppose 2*o = -x - 2*x + 137, 224 = p*x - o. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l = 7*l + 1295 - 355 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 2*(-4)\/8. Suppose -4*o - z = -63. Suppose -o*c = -16*c + 40. What is the highest common divisor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o. Let v(y) = -3*y + 2*y - 3*y + 3*y. Let c(i) = -b(i) + v(i). Let w(h) = 3*h. Give w(c(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 61 = -2*z. Let q = 155 - 108. Let s = q - z. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*6949378.\nAnswer: -27797512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:50 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2221 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(-14*20\/(-560))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.04 - -0.16. Let a = t - 1.3. What is a rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(44) + sqrt(7) + 1 + -4.\nAnswer: -3 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 11}. Give prob of sequence rrrt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 9.683292986328.\nAnswer: -18.683292986328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*3\/((-3)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3\/7 + 2791421*r**2\/7 + 6513330*r\/7 + 1860952\/7 = 0.\nAnswer: -2, -1\/3, 930476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 34. Let t be x(-19). Let j(f) = 4*f + 1 - 3 + 5. Is j(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 8 (c) 0.096 (d) -1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cluc when four letters picked without replacement from {u: 1, e: 1, l: 1, y: 1, f: 1, c: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14149*n**5 - 6*n**4 + 4*n**2 + 7471889*n?\nAnswer: 282980*n**3 - 72*n**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q - 5*r + 61, 49 = -3*q + r. Let n be (126\/(-105))\/(q\/(-10) + -2). Let 1\/2*d**3 + 0 - d**2 - 2*d + 1\/4*d**n = 0. Calculate d.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.7. Let z = -330.9 - -331. Sort z, -3, j in descending order.\nAnswer: z, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -811, -810, -817, -838, -879, -946, -1045, -1182?\n\"Answer: -q**3 + 2*q**2 + 2*q - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 7\/27 (b) -2\/3 (c) 2\/3 (d) -0.14 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -9. Suppose d = -f + 388. What are the prime factors of f?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -211732*j**2. Let w(d) = 261*d. Determine w(v(l)).\nAnswer: -55262052*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.00954\nAnswer: 0.00954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*r = 165*r - 1139962. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.730733 + -2.\nAnswer: -3.730733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -11. Let z(v) = v**3 - 10*v**2 + 7*v + 20. Let j be z(a). Suppose 4*i - 180 = -j*b, 4*i - 4 = 6*i. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:36 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14461091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**4 + 4*x**3 + 0*x**5 + 0*x**2 + 8\/7*x**7 + 0*x - 64 + 0*x**6. Find the third derivative of q(n) wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -101010212020?\nAnswer: -101010212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5 - 44*v + 44*v - 3*v**2 - 4. Let b be d(-1). Which is smaller: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 10746.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 352 - 1756\/5. Which is the closest to -1\/2? (a) 2 (b) -5 (c) p (d) -1\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -12, -5 in descending order.\nAnswer: 6, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 + -218. Let d(o) = o**3 - 4*o**2 + 4*o - 3. Let k be d(3). Solve -r*c = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by -5\nAnswer: -193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 5*x + 2. Determine b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(1350\/288)\/25?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 13*m - 1 + 12 + 2*m**2 + 2*m**2 - 2*m**2 - m**2 + (-4*m + 2*m + 0*m)*(0*m - m + 2*m) - m**2 + m**2 + m**2 - 2*m**2 - m**2 + m**2.\nAnswer: -2*m**2 - 13*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 6:22 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/5 and 25\/246.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42160951 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 - 7*t - 7. Let b(z) = 0*z**2 - 220 - z**2 + 5*z - 2*z + 223 - 3*z**2. Give 5*b(w) + 2*l(w).\nAnswer: -4*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10720 - 1455?\nAnswer: b287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4655*u**2 - 2595*u**2 + 1057*u**2 - 245*u**2 to the form r*u + h + v*u**2 and give v.\nAnswer: -6438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 3 - 13 + 32)*((3 + 2 - 6)*(0 - 1 + 2) + 2 - 2 + 2 + 1 - 1 - 2) as t + p*i and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 4*k**2 + 1051*k - 1051*k - 13 to the form a*k**2 + z + w*k and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(102)\/(sqrt(60)\/sqrt(40) + sqrt(6)))**2 + (6*-1*sqrt(17) + 2)*-3.\nAnswer: 86\/9 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -f - 198. What is the remainder when (-384)\/f + (-21)\/9 + 2 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 + 1505825*c + 7529250 = 0.\nAnswer: -5, 301170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-8)*(38 - 35) - (-91)\/28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:36 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -116*g + 538. What is the units digit of w(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 5*v**2. Let z be (-8)\/2 - (2 + -1 + 0). Let a be b(z). Solve o + 0*y + 3*y + 12 = a, 0 = -4*y - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 18 = 23*k. Let a be (-144)\/(-112) - (k\/(-7) - 1). Let s(i) = 3*i - 6. Let w(f) = -f + 1. Determine a*s(u) + 4*w(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.12, -4, 0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 28*i + 3. Let s be b(6). Let v(p) = p - 7. Let r be v(8). Let t be r\/(-2) - s\/6. Solve 3*l - 2*l = -t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 620.773 - 621.272999. Let b = q - -0.5. Round b to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 6*j**2 + 10*j + 14. Suppose i + 4*f + 16 = 0, 3*i + 0*f + 5*f = -13. Suppose i = 3*r + 19. What is the units digit of n(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14137, -29348, -44561, -59776, -74993?\nAnswer: -90212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0163023 rounded to 4 decimal places?\nAnswer: -0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -129 (base 15) to base 6\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4451222m?\nAnswer: 445122.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.3, 11, 64, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 30 - 9)*(2*v - 5*v + 4*v)*(v**3 + 0*v**3 - 2*v**3)*(-15 - 77 + 19) as j*v + o*v**2 + z + h*v**3 + u*v**4 and give u.\nAnswer: -3723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(6\/60). Suppose 9 = -5*v + 6*v. Let q = v + -6. Solve -q*s + s = c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -16*b**2 - 1423674*b - 42162300 = 0?\nAnswer: -88950, -237\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -15*o + 2895. What is the second derivative of -o*a - 585*a + 2*a**2 + 3*a**3 + 1138*a wrt a?\nAnswer: 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*y**2 + 11693*y + 375*y**4 - 23384*y + 11701*y wrt y.\nAnswer: 9000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -59. Let k = 49 + j. Calculate the remainder when k\/((-2)\/6*3\/136) is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m - 9. Let r(t) = 6*t + 3*t + t**2 - 8 - 6*t. Suppose 2*g = 2*j + 2 + 10, j + 2*g - 3 = 0. Let a(f) = j*r(f) + 2*w(f). Determine a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 265*z**2 + 18*z + 7. Let g be l(11). Round g to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533198 - 14945 - 96688 = -23689*x - 57668 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 13 + 24 + -26 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -16. Let m = -0.1176 - -0.0176. Which is the closest to -1\/12? (a) 3\/5 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104491596 by 177.\nAnswer: 590348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 668607782 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5801547199 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91226?\nAnswer: 2, 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 563*p**2 - 8503*p + 879. Calculate l(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 219. Let b = -123 + a. Solve 3*q = b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 398 and 1.8.\nAnswer: 716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/1*(-10 + 9). Suppose -7*k - 21 = -189. Calculate the highest common divisor of k and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 5*v**2 + 2*v - 3. Let m be l(-3). Let y(j) = j**3 + j**2 + 2. Let c be y(0). Is (7 - (-6 + m))\/(c\/67) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-1 - 2 + 4)*(-1 - 6 + 5)*(2*h - h - 2*h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 829043.4 hours?\nAnswer: 2984556240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*v - 16, -12 = 4*b - 5*v + 8. Suppose b = -0*k - 3*k + 837. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:10 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2 - 8 + 342*a - 11 - 4. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16472 - -3?\nAnswer: -16468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 11. Let p(i) = -7*i**2 + 11. Calculate 7*p(h) - 6*s(h).\nAnswer: -7*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2186538b - 2?\nAnswer: -21865390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 450603, 1802155, 4054741, 7208361, 11263015, 16218703, 22075425?\n\"Answer: 450517*h**2 + h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278511 is divided by 331.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 - -2) - (-3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 11. Let z be g(9). Suppose -d + z*d = -1. Sort 0, d, 4.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.1839 and -5?\nAnswer: 75.9195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(3\/13)*(v\/(v*v*v\/(v*v\/v**(-3))))\/(v*v\/v**6))**(13\/2) assuming v is positive.\nAnswer: v**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s + (2*s - 2*s - 2*s)*(4 - 3 - 3) + 0*s + 5*s - 2*s - 2*s - 3*s - 3*s)*(0*s + 3*s**3 + 0*s).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(2\/(-12)). Let c = j - -29. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 9*x + 5. Let i be l(-5). Solve -4*d + 8 = -i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 3087546*j**2 + 3574851069520*j + 10724562471200\/3.\nAnswer: 2*(j - 2315660)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*i - 27*i + 222*i**2 + 296*i to the form n*i + u + c*i**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(3)*1))\/sqrt(3).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1418 - 2.2418. What is the nearest to j in 0.4, 45, 2, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 10) to base 3.\nAnswer: 111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 189, 0, -7, -2\/3 in descending order.\nAnswer: 189, 2\/11, 0, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2644420 by 10.\nAnswer: -264442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 132, 145, 172, 219, 292, 397?\n\"Answer: f**3 + f**2 + 3*f + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -44484.\nAnswer: -222420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) -0.08 (c) -66 (d) -0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*q*t**2 + 3*m*q*t - 2*m*q + 3097*m*t - 19*m - 801*q wrt t.\nAnswer: -4*m*q*t + 3*m*q + 3097*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l + 2. Let m be q(4). Let h = m + 1. What is the units digit of h - (-1*18)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2598750)\/1089)\/(-70) + -2 + (-84)\/(-44)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 8*r**2 + 7*r - 1. What is the remainder when 3*((-74)\/(-6) - 2) is divided by s(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 2*i + 11 - 8)*(i**2 + 0 + 0) as k + m*i**2 + j*i + q*i**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -1458*k**7\/35 + 713*k**3\/6 + 2*k**2 + 3*k + 18. Find the first derivative of j(d) wrt d.\nAnswer: -34992*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3650648 and 646?\nAnswer: 69362312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) + (-1 - (2 - 3)). Let j(w) = w**2 - 3*w - 9. Let o be j(15). Let p(a) = 1 - o*a**2 + 170*a**g - 1. Let i(n) = -33*n. Calculate p(i(v)).\nAnswer: -1089*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 20 = -c, 0 = 2*n - c - 143. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45035537 (base 8) in base 11?\nAnswer: 5535739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -276 - 3263325?\nAnswer: -3263612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(20592\/65))\/((-284)\/10224).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-30 + 24 + 0 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21201 = -3*q - 34*q. List the prime factors of q.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103850841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36936 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {a: 7, y: 4, z: 2, f: 1, n: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 - 8*s**4 - s**4 + 13*s**2 + 4*s**2 - 6*s. Let t(v) = -v**4 + v**2 - v. Let r(x) = k(x) - 12*t(x). Find the second derivative of r(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c3c33 (base 14) to base 8.\nAnswer: 24207045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1677912\/7 and -239703 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25236a3 (base 11) to base 10.\nAnswer: -4382491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32326\/5823 + 8\/1941. Calculate the common denominator of 28\/963 and g.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3*g - 1. Let d be w(4). Suppose -a = 2*l - 4, -l - 8 = -5*a + d*a. Differentiate -7 + 5*z**4 - 16*z**a - 9*z**4 - 6*z**4 wrt z.\nAnswer: -104*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*b + 7414, -5*b - f = 1634 - 20166. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(-33))\/((-2)\/(-18)). Suppose 21 = -h*i + 9. Let a = i + 12. Solve 3*y = 2*f + a, 4*f = -f - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316548.7ug to kilograms.\nAnswer: 0.0003165487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673603365 a multiple of 2781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p**2*t - 157563*p**2 + 1676*t wrt t.\nAnswer: -3*p**2 + 1676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eynekk. Give prob of sequence kye.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 0. Let b(y) = 39*y + 16*y**2 + 4*y**3 + 326 + y**3 - 4*y**3 - 168 - 171. What is the tens digit of b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 26. Let u = g - 9. What is the greatest common factor of u and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -18, -11 in descending order.\nAnswer: 5, 4, 0, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000010100110101101 (base 2) in base 15?\nAnswer: -3c2853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1535031 by 9.\nAnswer: 170559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2 + 21. Suppose 1 = i - 2. Let h(k) = k**2 + i*k**2 + 11 + k**2. Let w(p) = 4*b(p) - 7*h(p). Calculate w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from ivtxwxwxxt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 241?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9304*w**2 - 245*w - 46 wrt w?\nAnswer: -18608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.2. Let n = i + -0.1. Let o = n - -0.1. Which is smaller: -3\/5 or o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -85. Calculate the least common multiple of 28 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24030 by -9.\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 38074 = 101901. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/30 - 571*g**4\/12 + g**3\/3 + 5020*g**2. Let p(s) = 2*s. Calculate l(p(x)).\nAnswer: 8*x**2 - 2284*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 11*a**2 + a + 16. Let v be o(-11). List the prime factors of 5*(1 - (-1104)\/v).\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19195 and 2263265.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136807 + 13057 = 1125*l for l.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492987274.\nAnswer: 2, 746493637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39580286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2489*w**2 + 1231*w**2 - 246 + 1245*w**2 + 246.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21342.\nAnswer: 2, 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3726.857 times -0.3?\nAnswer: 1118.0571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*x - 2*h**3 + 6*h**2*j*x + h**2 - 16*h*j - 81*h - 460*x**3 wrt x.\nAnswer: h**3 + 6*h**2*j - 1380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 123457.69 to the nearest one thousand.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkbbkkb. What is prob of picking 1 k and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-2)\/12*(1 - -3). Suppose -2*m = -p + 12, -3 = -3*p - m + 19. Solve -w*o + 8 = -p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**2 - 6*j + 6. Let h(o) = 312*o**2 + 143*o - 143. Let y(f) = -6*h(f) - 143*k(f). Let p(r) = -r**2. Calculate p(y(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*k + 6 = 83, k = -4*g + 315. Let h be g\/(-9) - 1 - (-28)\/(-126). Does 22 divide (5\/(h\/316))\/(-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - (-470)\/20. Suppose -4*p - 4*t + u = p, 5*p = 4*t + 7. Sort 5, 7, 1, p in descending order.\nAnswer: 7, 5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-18))\/(6\/(23 - 5)). Sort -4, -3, g, 6 in descending order.\nAnswer: 6, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - ((-1295)\/2)\/37)\/(3\/(-138)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = d - 1, 0 = -3*d - 3*g. Suppose a + 4104 = -n - 1856, d*a + 5*n = -11914. Let o = -16862 - a. Round o to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and -0.1.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m + 43. Let y(f) = -3*f + 21. Calculate 2*v(b) - 5*y(b).\nAnswer: b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -169aa9 + -5?\nAnswer: -169ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-1)*55\/(-15))\/(568\/(-278604)). Which is smaller: u or -25180?\nAnswer: -25180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3*t - 197622*m*t**2 - 92*t**2 - 827*t - 2 wrt m.\nAnswer: -6*m**2*t - 197622*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108*(-1)\/(6\/5)*(15 - 2701\/185).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616786860?\nAnswer: 2, 3, 5, 17, 23, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l)**(2\/71)*(l**(-7))**(-12) assuming l is positive.\nAnswer: l**(5978\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -1 - sqrt(2057))**2*1 + (sqrt(272) + (sqrt(272) + 0)**2 - (-2 + sqrt(34)\/sqrt(2))).\nAnswer: 3*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*x - a - 125, -2*x + 77 = -5*a. Let j = 47 - x. Suppose o - j = 7. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -35*q**2 + 10*q + 60. Let t(x) = -16*x**2 + 5*x + 30. Determine 6*s(z) - 13*t(z).\nAnswer: -2*z**2 - 5*z - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -u + 25. Let r = -67\/6 + u. Which is smaller: -0.2 or r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j - 77. Let q be s(6). Is 28 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a century in decades?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 2222300223010?\nAnswer: -2222300222310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1001000110011011010?\nAnswer: 1001000110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 2680*o - 26775\/2.\nAnswer: -(o - 5355)*(o - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/12 - l**3 + 3*l**2\/2 - l. Let x = -20 - -20. Suppose x = k - 0 - 6. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 918 = -13*d. Let v = -57 + d. Let p(r) = -2*r**3 - 4*r - 6. Let s(f) = -f - 1. Calculate v*s(l) + p(l).\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4261 = 1640. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 + 145. Solve 0 = -0*b + 3*b - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**12\/s*s*s)\/(s\/s**(-1\/49)))**(-20))**(1\/4))**(-48) assuming s is positive.\nAnswer: s**(140880\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h)**(1\/25)*(h**(-1)*h)**(-1\/9)*((h\/h**0)\/h)**35*(h*h**(-1\/11))\/h**(1\/5) assuming h is positive.\nAnswer: h**(206\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187622.\nAnswer: 2, 93811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/5 - (-6)\/9. Let q(l) = l + 5. Let s be q(-5). Is s != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(12\/(-119))*4. Let y = -83 - w. Suppose -96 = -5*h - 3*v, -2*h - 2*v = -0*v - y. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 + -153. Suppose 0 = -m + 7*m - 30. Solve -8 = -m*l - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c*i + 31*c*n**3 - 4*c*n - i*n**3 - 2*i*n**2 + 5*n**5 - 2*n wrt n?\nAnswer: 186*c - 6*i + 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317128311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 22959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2223 and 9386?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -42, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.72657 rounded to 2 decimal places?\nAnswer: 6.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Calculate y(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2700*b - 2688*b - 8*b**2 - 9*b**2 - b**3 + 32. Let s be l(-18). Calculate the highest common divisor of s and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-10*(-6)\/15 + -7). Suppose 5*k = 2*k + 9. Solve -9 = k*j - b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -490 in -0.3, 0.056, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**3 - 11*f - 34. What is the hundreds digit of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3545, 14228, 32025, 56930, 88937, 128040?\nAnswer: 174233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*3*5\/(-60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235*2759188.\nAnswer: 648409180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**3 + 10*p**3 - 4*p**3 + 3*p**2 - 2*p**2.\nAnswer: 36*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 8272?\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or -212\/1889?\nAnswer: -212\/1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2396278 by -8.\nAnswer: 1198139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 1 - 8 + 9.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -11*g**5\/10 - 5*g**4\/12 + 4*g**3\/3 + 4*g**2 + 8*g + 2. What is the second derivative of f(n) wrt n?\nAnswer: -132*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*s**2*t + 90*s**2 - s*t + 4 wrt t?\nAnswer: 6*s**2 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 67*c**3 + 1 + 1 + 4*c**2.\nAnswer: 67*c**3 + 4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1961?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:59 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -586*o + 1143*o + o**2 - 2*o**2 - 590*o as x*o**2 + c + f*o and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 + 2*l**4 + 10*l**3 - 18*l**3 + (3*l + 0*l - 4*l)*(-l - 6*l**3 + l) to the form h + s*l + b*l**2 + w*l**3 + y*l**4 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 547 - 257. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2086*k**3 + 21*k**2 - 4*k + 9421. Let v(w) = 691*w**3 - 6*w**2 + w - 3140. Let q(z) = -4*a(z) - 14*v(z). Find the first derivative of q(b) wrt b.\nAnswer: -3990*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98116339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {v: 7, s: 1, l: 4, y: 6, k: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110011111 (base 2) to base 14\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 3*n = 28. What is the third derivative of 177*t**5 - 1 - 128*t**n - 151*t**5 + 1 wrt t?\nAnswer: 1560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfffcfeffc. Give prob of sequence er.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (-35)\/(-10) - 0)*-6. Suppose 7 = -o*w - 4*f, f - 2*f + 5 = 3*w. Calculate the least common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 206, 427, 672, 953, 1282, 1671, 2132?\n\"Answer: 2*y**3 + 207*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 m when four letters picked without replacement from miiiiiiiiimistismtg.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 + n + 2. Let f(j) = j**2 + j - 18. Let x be f(-5). Give r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 8*b + 4. Let k(h) = -52*h**2 + 19*h**2 + 4*h + 11*h**2 - 1 - 3*h + 21*h**2. Calculate -4*k(q) - v(q).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -16. Let w be (-2 + 13)*z - -1. Factor 12*k + 9*k**2 - 11*k**2 - k**2 - w.\nAnswer: -3*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2*q**3\/3 - 126. Let v(f) = f + f - 4*f. Calculate r(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3833*k - 80344 = 181*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 5*g**2 + g**2 - 4*g**2 - 1)*(-2*g + 3*g + 2*g).\nAnswer: 6*g**4 + 6*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3111 = 4*b + 1111. Suppose -2*q + 4*q - 92 = -h, -2*q + b = 5*h. Suppose -h = -l - 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6230 = 349*g + 157*g - 61*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 1\/4 (c) 0.3 (d) 35373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 - 7*v + 5. Let h be (27\/(-6))\/((-12)\/(-16)). Let s be ((-10)\/h)\/((-1)\/(-3)). Let q(j) = -6*j**2 - 6*j + 4. Calculate s*c(u) - 6*q(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 42. Suppose 0 = -3*h + 4*q - 26, -4*h - q = 3*q + 16. Let k be f(h). Suppose a + 28 = k. Solve a*m = m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -61*x**2 - x. Let b(l) be the third derivative of l**5\/15 + l**2 + 2*l. Determine z(b(n)).\nAnswer: -976*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**2\/2 + 178. Let z(k) be the third derivative of -k**4\/12 + k**2. Calculate z(a(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(3)) - ((sqrt(144)\/sqrt(4) - sqrt(36))\/sqrt(12))**2.\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560 and 4472?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/309222 and -43\/927666.\nAnswer: 927666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -710195 and 2?\nAnswer: 710197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1389 + -1392.6. Let y = -5 + 4.6. Let t = y + l. Which is the second biggest value? (a) t (b) 0.14 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 3 - 7)*(h - 459835 + 459835) as i*h + v and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2264 and 1132.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*m - 44922, 2*i + 1232 = 4*m + 19208. Do i and 8981 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/(h**(-2\/5)*h)*(h\/(h*h*h**(-2\/17)*h*h*h*h*h))\/h*h*h**(4\/3) assuming h is positive.\nAnswer: h**(-5138\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -10182, 3, 6?\nAnswer: -10182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(204)\/sqrt(432) - sqrt(17)) + sqrt(153) + (sqrt(153)*1 - sqrt(153)).\nAnswer: 19*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 615254*w**2 + 15*w - 15. Let y be d(1). Let q = y + -286254. What is q rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/5 and -109\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7*5\/((-210)\/49)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2327\/204 + -196\/51. Calculate the common denominator of -29\/17218 and g.\nAnswer: 34436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76755, -76776, -76795, -76812, -76827, -76840?\n\"Answer: p**2 - 24*p - 76732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23049, 92108, 207199, 368316, 575453, 828604?\n\"Answer: -c**3 + 23022*c**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13913.037 milliseconds?\nAnswer: 0.0038647325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -63*u + 10 - 10 - 81*u. Let p(r) = -2*r**2. Give p(f(x)).\nAnswer: -41472*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:10 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65807\/3 + -131611\/6. Let r = 1 + -3. What is the closest to -0.1 in 4\/5, r, -3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 48, 126, 254, 444, 708, 1058, 1506?\n\"Answer: 2*t**3 + 7*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45870 divided by -834?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13554, 38862, 81048, 140118, 216078, 308934?\n\"Answer: k**3 + 8433*k**2 + 2*k + 5118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**4 + k**2 - 5*k - 9. Differentiate f(u) with respect to u.\nAnswer: 24*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uururuuuuuuu. Give prob of picking 2 u and 1 r.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1149, -4607, -10371, -18441, -28817, -41499, -56487?\nAnswer: -73781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 2\/3, 2\/13 in ascending order.\nAnswer: -1\/5, 2\/13, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 6*d + d)*(67*d**3 - 17*d**3 - 669*d**3) + (d**2 + 2*d**2 - 2*d**2)*(2 - 2 + 2*d**2) in the form l*d**2 + c*d**3 + k*d + g + n*d**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1118 - 640. List the prime factors of h.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0.7, 1, 3\/5 in descending order.\nAnswer: 2, 1, 0.7, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 15 + -7 + 7 - (125 + -68)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.35114375665015 + 25372987.35116415665015. Let h = g + -25372897. Let d = h + -90. What is d rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23514?\nAnswer: 2, 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3669995\/19 + -193211. Let o = x + 113359\/2128. Let g = o - 19\/16. Find the common denominator of 19\/8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3\/2 - 35157*r**2\/2 + 543537*r - 525960 = 0.\nAnswer: 1, 30, 11688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921005 = 2953*c + 10745*c + 47108 - 461333 for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9434)\/(-7) + 24\/84 + 0 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-500)\/(-6) + (-1)\/3. Let q(p) = -2*p - 5. Let t be q(-7). Suppose b - t = 2*l. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719*417465\nAnswer: -300157335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*d + 2*d**3 + 0*d**4 - 148*d - 2*d**4 + (3*d**3 + 0*d**3 - d**3)*(0*d - 2*d - d) - d**4 - 5*d**4 + d**4.\nAnswer: -13*d**4 + 2*d**3 - 83*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 0.076.\nAnswer: 0.00988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 13)*(-2*w + w - w) - 3*w + 0*w + 4*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 988, -134, 4 in descending order.\nAnswer: 988, 9, 4, 2, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*t + 19, 91*s + 3*t + 15 = 94*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -1 - 4\/(-2). Let w = a - 0. Suppose w = -3*i + 12. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436 + 492. Which is the nearest to -1? (a) -6 (b) -1\/4 (c) s (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 34, 8, 1595, 5, -1 in decreasing order.\nAnswer: 1595, 34, 8, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {d: 4, a: 1, n: 2, j: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 6 = -14*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(-2) + (-10 - 693\/(-70))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17264 and 3836560.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53599138.\nAnswer: 2, 641, 41809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-10) + (-15)\/(-6). Let t = k + 1. Find the third derivative of 16*z**4 + z**2 - 4*z**2 - 12*z**t wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 15*s + 72. Let u = -367 - -386. Let t be j(u). Sort 4, 1, 2, t.\nAnswer: t, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*l - 3*b, 3*b = -3*l - 5 - 1. Let x = l - -10. Is x >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 12 + -1 + 2 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4358 - 4357. Is 21\/19 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d. Let t(l) = -5*l**2. Calculate t(c(b)).\nAnswer: -4500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 + p + 2. Let d be j(-4). Let y = -20 + d. What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 717804 and 1413?\nAnswer: 717804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shm. What is prob of sequence mh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/136 and 47\/5267280?\nAnswer: 5267280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -5\/2*x**2 - 5 + 0*x + 1\/3*x**3. What is the second derivative of f(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 550 and 900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 + 7*n**2 + 8*n**2 in the form l + v*n + q*n**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49240 + 107401386.54?\nAnswer: 107450626.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 2947 = -2675. Suppose -3*j + 793 = f, 5*j - 719 = -4*f + 605. Suppose -5*v + j + 176 = 0. Calculate the greatest common divisor of m and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.11*2.6\nAnswer: 73.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13411 - 13282. Let t(u) = 2*u**3 - 2*u**2 + 5*u - 2. Let c be t(5). Let o = c - j. What is the remainder when o is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3\/5, -10, 5, 10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -181\/5. Is r <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 + 97. Let o = 202 - a. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -849784488 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-124)\/7 + (-10)\/35. Let x be -1 + (33\/s - -3). Let c be (1\/(-3))\/((-21)\/(-18)). What is the closest to -1\/4 in c, x, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*x = -15, -7 = -n - 5*x + x. Factor w + 2*w**5 - 2*w**n + 0*w**5 - w**5.\nAnswer: w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3 + 331*l**2 - 329*l**2 - 406 - 211*l**4 + 2*l**3 + 441*l**4 wrt l?\nAnswer: 920*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*k - 14, 45*v + 69 = 50*v + 47*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8 - 234\/(-72). Let c = t + -3. Suppose 4*j - 31 = 3*h, 3*h - c = j - 5*j. What is the greatest common factor of j and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(162)).\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4391*a - 21980. Determine t(4).\nAnswer: -4416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -5 (c) 83\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 130, 202, 278, 358?\n\"Answer: 2*y**2 + 62*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5414 - 31*h - 5414.\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 16*m + 4*s + 59 = 0, -3*m + 37 = -2*s. Solve -m = -2*w - 3*n - 2*n, -w = n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -436098.\nAnswer: 2180490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.95? (a) -4 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 22*x + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j + 4*j + 0 + 12*j - 12. Suppose -o - 1 = 3, -5*f + 5*o = -125. What is the tens digit of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 451240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266 - 1251. What is the highest common divisor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34946 and 4677209.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*n - 18 = 2*n, 2*s = 2*n + 16. Suppose a = 1, -a = -4*g - s*a + 13. What is the units digit of ((1 - g)*-2)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 = 17*l - 583. Let d = 112 - l. Suppose d*y = -y + 1683. List the prime factors of y.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - (-8)\/6. Let n(c) = 17*c + 19. Let u be n(-1). Let k(p) = -p**h + 2*p**2 - p**2 - u*p**2. Let i(y) = y**2. Calculate k(i(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -35. Suppose -x*o - 10 = 18. Suppose -4*g - 14 = -2. Put g, 3, o in ascending order.\nAnswer: o, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000868034 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + o + 7. Let v be d(6). Let k = v + -222. Let z = 102 + k. Which is the third smallest value? (a) -2\/15 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 - 9*t + 5. Let o(q) = 5*q**3 + 4*q - 2. Suppose 2*v + 3*z = 14, -8 = -v - 183*z + 181*z. Give v*m(y) + 9*o(y).\nAnswer: 5*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.67 + -1.33. Put 1\/2, 2\/9, h, 5 in decreasing order.\nAnswer: 5, 1\/2, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2321945 grams to kilograms.\nAnswer: 0.0002321945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/6 - n**3\/2 + n**2 - 227*n. Determine j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001724843 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -7.083.\nAnswer: -21.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522961?\nAnswer: 522961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11) + -1)**2.\nAnswer: -20*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11473 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 2716648?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 12\/8)*-2. Which is greater: 7\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)\/t**5)**(-39))**(1\/65) assuming t is positive.\nAnswer: t**(78\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 7. Let s be 132\/(-8)*(-4)\/6. Let c be k(s). Suppose c*x + 4*o - 2*o = 12, -2*x = -3*o + 10. Is 1\/12 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 8*f + 158. Let k = f + -79. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1634916 and 4?\nAnswer: 1634916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.402 and -288.\nAnswer: 115.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 934*y + 3497. List the prime factors of w(14).\nAnswer: 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 368974.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 121*k - 554. Determine p(56).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllljllllllll. Give prob of sequence lj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628685578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 429, 2963, 7187, 13101, 20705, 29999?\n\"Answer: 845*b**2 - b - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6383 + 6387. Solve -a - 22 = 5*w, -3*w + 30*a = 26*a + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 8*t**2 + 5*t - 6. What is the tens digit of s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + 2 + -1 + sqrt(170)\/(1*sqrt(10)) - sqrt(204)\/(-4*sqrt(588))) + -4 + 0)*-3)**2.\nAnswer: -1539*sqrt(17)\/14 + 560601\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 2713190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4878*m - 9878*m - 6924*m + 12*m**2 - 3*m**2 - 4*m**2 + 23501120.\nAnswer: 5*(m - 2168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:48 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 7872000 = -56*p. Round p to the nearest 1000.\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -86*q**3 + q**2 - 6*q - 6. Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 681 - -867. List the prime factors of u.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let h(v) = -3*v + 0*v + 0*v - v. What is z(h(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.34037042 rounded to three decimal places?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 40, 65, 90, 115, 140?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:35 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.32, 1\/16, -1\/12, 0.3, -0.1?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83207 or -83205?\nAnswer: -83207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 31 (b) -1\/5 (c) 8\/7 (d) 2\/471\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 51 + -33 + (33 + 2 - -2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:11 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 6.1.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7296203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2005.0005305 - 2005. Round c to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15886, -31748, -47588, -63406, -79202, -94976?\nAnswer: -110728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:05 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1898 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 + 11272*j - 3912*j - 3910*j - 3450*j + 97*j**2.\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*10\/(-175). Are 1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167348713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015792 rounded to 5 dps?\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 50*t - 65*t + 382 = -4*s, 0*t + 96 = 3*s + 3*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 10*q - 5*q)*(0 + 3 + 0).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let m(v) = 27*v**2 + 38*v. Calculate a(m(s)).\nAnswer: 27*s**2 + 38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 145*c**2 - 3135*c - 31856. Calculate b(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -218 + 1\/2*m**2 + 8*m. Calculate k(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1587 + -1586.6. Put f, 0.3, 7\/2, 2\/7 in ascending order.\nAnswer: 2\/7, 0.3, f, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26860, 3, -2 in ascending order.\nAnswer: -2, 3, 26860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 33*x**2\/2 + 204*x + 1718. Give c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 4. Let i(y) = 2*y - 10. What is 5*i(n) - 12*v(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 4) to base 16.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137\/416827 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5\/5 - 2343*l**4 - 11477661*l**3\/5 - 79770621*l**2\/5 = 0?\nAnswer: -1949, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75184026.\nAnswer: 2, 3, 19, 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1085621264\/529985 - -2\/105997. Let q = a - 2042. Factor -16\/5*f - q - 2\/5*f**2.\nAnswer: -2*(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 0*o - 5*o + o - 2 + 2 + (-3 + 3 - 1)*(1 - o - 1) - o - 3*o + 5*o + (3 - 3 - 7)*(5*o - o + o).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 13*d - 7*d)*(0 - 1 + 0)*(-2*d + 2*d + 5*d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 12 = -2*f + a, -2*a = -f + 3. Let b = 2940 - 2684. Solve 0*i**4 - 256 + 4*i**f + b + i**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*h = 2, y + 2*y = -3*h + 21. Suppose -155 = -y*s - s + 5*o, -3*s - o = -77. Suppose 3*r - 189 = 48. What is the remainder when r is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6183*t - 3 - 2313*t - 11 + 28 - 4.\nAnswer: 3870*t + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -67*h**7\/105 - h**6\/40 - 167*h**4\/12 - 1447*h**2. What is the second derivative of i(x) wrt x?\nAnswer: -1608*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -985 and -62.295.\nAnswer: 61360.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 1. Let b be o(-1). Let x be 1 - 1 - (b - 1). Suppose -5*c + 3*c + 40 = x. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:19 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {e: 3, y: 1, l: 5, i: 4, z: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957 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 5*s + 12 = s, 3*u = s - 2853. Let a = 3040 + -5247. Let g = u - a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*q**3\/7 + 2660770*q**2 + 1348873*q + 64672\/7 = 0. Calculate q.\nAnswer: -1\/2, -1\/144, 64672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -24. Let n be (0 - 1)\/(m\/(-18)). List the prime factors of -2 + (1 + n)*4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10110100000?\nAnswer: 10110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1425 and -26\/57.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -11\/4 (b) -0.5 (c) 1\/159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13158 - -434180\/33. Suppose 5*q - 7256 - 569 = 0. What is the common denominator of (-36)\/81 + q\/450 and u?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24877 - 12146. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.4 + 1.4. Let q = r - -12. Is -2\/3 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/120 + r**4\/24 + 2*r**3\/3 - 3*r**2. Let q be f(0). Suppose q*b - 4 = 2*b. Sort 1, b, -5 in decreasing order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 909, -3361, 0, -5 in ascending order.\nAnswer: -3361, -19, -5, 0, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -137718751.13 + -4\nAnswer: -137718755.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/960 - d**5\/320 - 11*d**3\/6 - 8*d. Let u(z) be the second derivative of m(z). Let u(h) = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2804870, 5609742, 8414616, 11219492, 14024370?\n\"Answer: t**2 + 2804869*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + 2) - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (1728\/378)\/(14\/(-49)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (2 + sqrt(76)))*-3*-4)**2.\nAnswer: 576*sqrt(19) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:43 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + 11*o + 8. Let i be g(-4). Which is the third smallest value? (a) i (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220212 - -2?\nAnswer: -220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - (7 - 6)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321893674 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6*z**2 + 5*z - 8. Does 6 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424 = -4*x + 3*c - 444, -c = 3*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/45)\/((-8)\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21020011 (base 3) to base 16.\nAnswer: -1495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 8 (c) 4\/3 (d) -1 (e) 639 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.09, 7, 68, 2272?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23415, 23511, 23671, 23895, 24183, 24535?\nAnswer: 24951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2214537 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**2 - 21*h**2 + 14 + 0*h**2 to b*h + k*h**2 + a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/42)\/((-8)\/(-3))*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14.54, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80742835.\nAnswer: 5, 16148567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 4\/(-6))*31. Let s = p + -10. Suppose 3*w - 4*w - 1 = 0. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 + 3*z**6 - z**6 + 11*z**2 - 4*z**6 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 115 = -34*m. What is the least common multiple of m and 5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90967 - d1?\nAnswer: 90886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2110?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**2 + 10 - 16*t + 12 + 4*t**2 - 6.\nAnswer: 4*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 88. Suppose -6 = -p*z + 18*z. Let k be (-7)\/(-3) - (-2)\/(-6). Solve 0 = z*g + k*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17602133.\nAnswer: 409, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(48)*6.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by (-1)\/((-3)\/9) + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1279, -825, -373, 77, 525?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(-60)\/24 + (673 - -1). Calculate the highest common factor of 768 and l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1366)\/4)\/((-10)\/20). Suppose -s = -5*m - 273. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*m + 3261 - 3261 + (-294*m + 293*m + 50 - 18)*(1 - 1 + 2).\nAnswer: -21*m + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*-4.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuduuuukuuuuuod. Give prob of picking 1 o and 1 k.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 133*u**2. Let y(s) = -163*s + 7. What is g(y(w))?\nAnswer: 3533677*w**2 - 303506*w + 6517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 23*w**2 + 70*w + 412. Determine t(27).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/(-2)))\/3*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 0, -277 in descending order.\nAnswer: 0, -137, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*y - 29826, y + 11 = 17. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -293829, -587637, -881435, -1175217, -1468977, -1762709?\n\"Answer: l**3 - l**2 - 293812*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74045152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.2 and -7.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15\/26 + -1\/13. Let r = 112 + -115. Which is the smallest value? (a) o (b) r (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 50 - (-8 - 5 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 598 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 78*b - 1 + 2 + 4 - 79*b. What is l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 1. Suppose 0 = -b*g + 8 + 2. Let m = 2681 + -2685. Put g, m, -1 in increasing order.\nAnswer: m, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1399*h**2. Let d(k) = -2*k. Calculate m(d(z)).\nAnswer: 5596*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.64 and 1393.\nAnswer: 891.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, -23, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076325034 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:27 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12918469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-15)\/9*48\/10. Solve -24 = -4*h, 0*x - 4*h = 4*x - w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 33*q = 53004. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/1298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -4*m, 3*y - m = 6*y - 3. What is the second biggest value in -0.1, -3\/2, -0.04, y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d + 6 - 6 + 9*d in the form c*d + k and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 160121, 320239, 480357, 640475, 800593, 960711?\n\"Answer: 160118*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 174221119?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61\/14 - 5. What is the common denominator of w and -1\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47160710 - -5?\nAnswer: -47160703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -5\/2*s**2 + 6*s + 0 - 1\/3*s**3. Let x be z(-5). Solve -x - 5 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*d**2 + 5*d**2 + d**2)*(3 - 4 + 0*d + d) to a + k*d**3 + p*d + z*d**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kooo when four letters picked without replacement from okooookoooooooookk.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542, -1018, -1494, -1970, -2446?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 82*q**2 - 103*q - 244. What is the tens digit of u(-83)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9 and 0.74?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 2*i**2 + 0 + 1\/60*i**5 + 0*i**3 + 0*i**4 + 0*i. Let m(x) = -6*x. Determine m(r(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94821941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (4 + 5)) + (-2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 18, 3, -1 in increasing order.\nAnswer: -42, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167805.\nAnswer: 3, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veqa when four letters picked without replacement from {e: 1, q: 3, b: 1, v: 3, a: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 43. Let a = -3 - -2.9. Let d = a - -0.3. What is the closest to b in -3\/5, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2731.961794 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 179267996 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6440 + -6437. Let a = -3\/92 + 223\/1196. Let f = 20\/39 + a. What is the nearest to 2 in -4, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-6)\/36*-6. Suppose y = -5*v - 0 + 40. Let r = -10 + 15. What is the smallest common multiple of v and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010 + -1?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from lwlwwwwlwllwww?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 24 = q*y - 2*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2586 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642635 is divided by 429?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/7, 1, -5, -3530, 130?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1) + (-12)\/(-36)*312. What is the greatest common divisor of z and 2014?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/25 - -86\/225. Which is the nearest to -0.1? (a) -5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -5*v**2\/2 + 17*v - 420. What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -122*q**2 + 42*q - 5. Let h(z) = -83*z**2 + 30*z - 3. Determine -8*h(k) + 5*p(k).\nAnswer: 54*k**2 - 30*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 12*h + 3 - 3)*(4*h - 5*h + 2*h).\nAnswer: -3*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/7)\/d**1)**17)**28 assuming d is positive.\nAnswer: d**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-25 - -7 - -7) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n = -112 + 38 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)\/((-6)\/18). Suppose 10 = i*n + p, -n = -2*n - 2*p + 10. Solve -n*d + 5*d = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 4 = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/120 - f**5\/20 + 7*f**4\/24 + f**3\/2 - f**2. What are the prime factors of a(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203358112?\nAnswer: 2, 131, 139, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18491 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6847568 and 1183?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/8)*g*g**(1\/2)*(g**2)**(-32) assuming g is positive.\nAnswer: g**(-497\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 382, 826, 1282, 1756, 2254, 2782, 3346?\n\"Answer: h**3 + 437*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 8*y**3\/3 - 15*y**2\/2 + 14*y - 228. Let h be b(1). Solve -4*i = h + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waqnhhaqqnqnqyqhqh. What is prob of sequence qa?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -3. Let p = 9 + -8.8. Suppose 337 = 24*v + 409. What is the biggest value in g, p, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1848\/539*63\/18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 15 + 11 + 14*l**3 in the form u*l**2 + j*l + r*l**3 + m and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7787 + -7789. Sort 665, n, 3 in increasing order.\nAnswer: n, 3, 665","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173758 divided by -163\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7622822 millilitres to litres.\nAnswer: 0.0007622822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68921*l**3\/5 + 15129*l**2\/5 - 1107*l\/5 + 27\/5.\nAnswer: -(41*l - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 949 - 946. Put t, -3, -76, 5, -2 in ascending order.\nAnswer: -76, -3, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104738?\nAnswer: 2, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h + 4*q + 2, 5 = -3*h - 5*q. Suppose -3*w + h*w = 0. Suppose -4*x = -w*x. Which is smaller: x or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 41*w**2 + 20*w + 9. What are the prime factors of r(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19590*k**4 + 2*k**3 - 2*k**2 + 2743*k - 5?\nAnswer: -470160*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005626507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/41 or -392701?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*f**2 - 110 + 55 + 63 wrt f?\nAnswer: -32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*x - 6. Factor x*z + 0*z**5 + 0*z**2 + z**4 + 3*z**5 - z**2 - 5*z**3.\nAnswer: z*(z - 1)*(z + 1)**2*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 155125920 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 9) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 368 (b) -2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417338 * -7.86.\nAnswer: -3280276.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4370.4372912 + 24.2.\nAnswer: 4394.6372912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 2*t**4 - 3*t**4)*(-32 + 32 - 12*t) + 0*t**5 - 4*t**5 + t**5 + (-3*t**3 + 3*t**3 - 2*t**3)*(-t**2 - 2*t**2 + 4*t**2) + t**5 - t + t.\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -355.322694307 - -1\nAnswer: -354.322694307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 - 53*r - 94)*(-24*r**2 - 38*r**2 + 20*r**2).\nAnswer: 2226*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(-12\/11))**7 assuming a is positive.\nAnswer: a**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571773 is divided by 14292.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 9841?\nAnswer: -39364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 9*g - 95. Let w be (-3 - -1)*(0 + g\/(-4)). Calculate the highest common factor of 30 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*j - 705*j = -191688. Solve -10*r - 422 = -j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 - 399*h**2 - 1608*h + 33660\/7.\nAnswer: 3*(h - 935)*(h - 2)*(h + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:33 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o, 6*q - 11*q + 1 = -4*o. What is the closest to 0.1 in -0.3, 1\/4, q, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1)\/((-15)\/(-20)). Let f = b + -8. Let s = f - -10. Solve 0 = 3*l - 0*l + s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*j + 103, 2*x + 107 = 4*j + 7*x. Suppose 28*i = j*i + 15. Suppose -5*z - 5*t + 10250 = 0, -4*t - 2799 - 3330 = -i*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 10*a**2 + 6. Let f be w(10). Suppose 0 = -0*x - 5*x - 120. Let o = f - x. What is the greatest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35))\/2*5*(-7)\/(-56)*12\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/6)\/(7\/14). Suppose -6*r = -g*r - 66. Is r\/9*(-9)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 3*f**2 + 3*f + 1\/12*f**4 + 4\/3*f**3 + 0. Calculate the smallest common multiple of z(-8) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -12, 3\/4, 131?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 26*h**2 - 11*h - 11. Let f be m(7). Solve -3*t - f = p, 3*p + 20 = t - 5*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519.1 + -519. Let t = 1.8 + -5.6. Let d = t + -1.2. Which is the second biggest value? (a) d (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9407384 is divided by 1567887?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44291312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**3\/33 + 12*s**2\/11 + 2*s + 300. Determine r, given that x(r) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 174?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 327 (base 8) to base 2\nAnswer: 11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006016 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(567) + 4 + 1 + sqrt(567) + sqrt(567) + 1 + 3)**2 + 1)*-6.\nAnswer: 5832*sqrt(7) + 62202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.003 + 4.003. Let v = -30 + 30.38. Let l = v + 0.02. Sort a, l, -0.5.\nAnswer: -0.5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 0*b + 0*b)*((2 + 4 - 5)*(-13 + 7 - 6) - 2 - 5 + 5) to w*b + v and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5004*t**3 + 2*t**2 - 7*t - 13177532 wrt t?\nAnswer: -15012*t**2 + 4*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4094*a. Let d(x) = 21*x. Calculate d(w(o)).\nAnswer: -85974*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359*m**2*v - 2*m**2 + 2*m*v + 8*v - 3 wrt m?\nAnswer: 718*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3185 = 236*r - 231*r. Calculate the greatest common divisor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57264\/11 + -4580097\/880. Let b = -2944 - -41189\/14. Find the common denominator of u and b.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002602483337 to six dps.\nAnswer: 0.002602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 2*j**4 - 2*j**3 - 2*j**2.\nAnswer: 2*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38096 is divided by 4710.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 53 = 3*q. Let p(b) = 10*b - 97. Let u be p(10). Find the third derivative of q - 24 - 18 - 14*g**u - g**2 wrt g.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(227\/(-1362))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h + 387 = 48*h. Let z be (6 - 8)*5\/(-2). Suppose 4*f - 3*n = 16, z + 3 = 2*f + 3*n. Solve 3*p + 7 = j + 1, 0 = h*j + 5*p - f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 62\/(-15) - (-1264)\/30. Suppose 2*d - f = 12. Let m(q) = -q**2 + 27*q + 6. Let o be m(d). Solve 0 = -r - r - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1964242 tonnes?\nAnswer: 196424200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.7. Let x = m - -0.28. Let w = x - -5.02. Sort w, 2, -0.1.\nAnswer: -0.1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d. Suppose 0 = 5*x - 2*x - 21. Let m(i) be the third derivative of -3*i**4\/8 + 16*i**2 - 35*i - 4. Give x*m(k) + 5*w(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - -2753. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58909575 by -11781915.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 + (30\/(-9) - 17\/(-51)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r - 5. Let c be (-8)\/(-28) - (-65)\/(-7). Let b be h(c). Solve -5*z + b*t = -1, -t + 7 = -5*z + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 2*h**2 + 5*h**2 - h**2 - 2*h**2.\nAnswer: 4*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cc6 + -43?\nAnswer: 2c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 4 = -41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3248 + 4065 = -72*y + 23*y + 8783 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 13\/10, -5, -0.1, 4?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/551 and -23\/107958?\nAnswer: 3130782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 364\/39 + 2\/3. Let n be (-22)\/55 - (-94)\/d. Let b(q) = -2*q + 1. Let x be b(n). Which is smaller: x or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(2 + -7 + -1). Let i be 16\/12*6\/4. Let f be (-3)\/(2 + n\/i). Solve -f*l = -8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:57 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2500*o = -2234*o + 6384 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312658 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -5 (c) 1 (d) 0.1 (e) 305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)*((-984)\/30 + 33).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by -6703.\nAnswer: 175\/6703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0502 (b) -14\/169 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1072181187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 - 1951*p + 21887. Give w(-336).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4343067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12488 and -24\/334277.\nAnswer: 18719512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556288908 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*j*o**3 - j*o**2*u**3 - j*o*u**2*x + 2*o**3 - 3*o**2*u**3*x + 19*o*u**2*x wrt j?\nAnswer: 31*o**3 - o**2*u**3 - o*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 35*w**2 - 58*w + 324. Calculate j(-33).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12008*q**2 + 13720*q**2 + 8778*q**2 as s*q + d*q**2 + i and give d.\nAnswer: 10490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30746483 rounded to 4 decimal places?\nAnswer: 0.3075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 223158*w + 52. Let i be g(6). Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -63*o - 36. Let h(y) = 17*y + 10. Let q(v) = -18*h(v) - 5*l(v). Let c(i) = -8*i + 1. Determine 6*c(j) + 5*q(j).\nAnswer: -3*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 4*(sqrt(208) + 0) - 6*sqrt(208)*-2)**2.\nAnswer: 60112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01055597 + -7427.\nAnswer: -7426.98944403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n**2*t + 3*n**2 + 39*n*t - 91*n wrt t.\nAnswer: 8*n**2 + 39*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.691 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h = 11*h - 19*h + 3591. What is the remainder when 2102 is divided by h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -0.1, 1\/3 in increasing order.\nAnswer: -0.1, 0, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5211, -8347, -11483?\nAnswer: -14619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - ((-5 - -3) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/397 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -8, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**6 - 91903*h**4 - 4*h**2 - 3*h - 651 wrt h?\nAnswer: 360*h**3 - 2205672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 105. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2697807*b - 4*b**2 - 53 + 2697807*b as i*b**2 + a*b + v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 4:16 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9967*m**3*w**3 + 15324*m**3 - 4*m*w**4 with respect to w.\nAnswer: -29901*m**3*w**2 - 16*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1))*i**(-3)*i)**(-12)\/((i**(5\/7)*i)\/i**(-2\/3)*(i**2)**(-16)) assuming i is positive.\nAnswer: i**(1378\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 + -190. Let i = x + -8. Sort 1\/5, i, -0.5 in ascending order.\nAnswer: i, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623\/16 at least 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360158 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 204 = -12*s. Let f be (-3 + (-84)\/(-20))*3\/s. Which is the second biggest value? (a) -2\/7 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80) + -5 - sqrt(180)*-6) + (((sqrt(55) + sqrt(55)*1)*-4 - sqrt(55))\/(sqrt(99)*3 - sqrt(99) - sqrt(99)))**2.\nAnswer: -160*sqrt(5) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**2 - 4*i + 4. Let z(n) be the second derivative of -5*n**4\/6 + n**3\/2 - 3*n**2\/2 + 2*n + 1. Let s = -539 + 543. Give s*z(w) + 3*c(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24*7\/147)\/((-4)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0.31, -9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 12) to base 8.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*7\/(112\/9)*-4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/18 and -97\/4846.\nAnswer: 43614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + k - 0*k, 3*n = 4*k + 3. Suppose 2*x - 23 - 23 = 0. Does 3 divide (-2)\/(-4)*(x - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 90 + 254 - 84 + 39*r.\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3 + (-4)\/(-1)). Calculate the smallest common multiple of ((-45)\/t)\/(-9)*-12 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, 0.5, 0.25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4233 and 4573?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 5*l**2 - 3*l + 5. Let j(c) = -3*c**3 + 6*c**2 - 4*c + 6. Determine -5*j(g) + 6*s(g).\nAnswer: -3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 36 = 7*q. List the prime factors of 2\/((-2174)\/2920 - q\/4).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138368 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -5 (b) -2\/15 (c) -16006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2976\/(-1116)*(-9)\/12*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.388 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.031\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4318.36 - 4318.16. Let i = -5.13 - -0.13. What is the nearest to -0.1 in -1, i, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose w*n - 186 = -36. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100786*t**5 - 41*t**2 + 367*t - 2?\nAnswer: 6047160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pehefeehphepfpfheep. Give prob of sequence hf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-60)*(-3)\/30*4*-2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**5 - 5*f**5 + 4*f**5 + (f**4 + 3*f**4 - 5*f**4)*(0*f + 4*f - 2*f) + 475*f**2 - 475*f**2 - 19*f**5)*(-3 - 3 + 2).\nAnswer: 80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.93 + -0.07. Let g = m + 71. What is the nearest to 0.1 in 0, 0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*u - 21, 2*u = -0*u - 2. Let s be 1\/(6\/(-3))*x. Suppose 0 = -b + 2*r, -4*r + 43 + 17 = s*b. Solve -2*y = 3*t - 17, t + 5*y = b - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 0 = 3*c + 8*j, -c + 26*j + 12 = 21*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(98)*-3)**2.\nAnswer: -210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69720.491 take away -7?\nAnswer: -69713.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -296610\nAnswer: -71\/296610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-2) + 5 - (-1 + 3 + sqrt(1300))) + -1 + -3)**2.\nAnswer: 240*sqrt(13) + 11716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 356\/5. Suppose 3*v - 25 = -5*p, 0*v - 27 = -5*v - p. What is the fourth smallest value in u, 3, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(i**2 + 4*i**2 - 2*i**2) + (0*i + 3*i - 4*i)*(-3*i - 3*i + 3*i) - 5*i**2 + i**2 + 5*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2324, -9495, -21442, -38159, -59640, -85879?\nAnswer: -116870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:21 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 45090.42 to the nearest 100.\nAnswer: 45100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-189)\/24*205\/(20090\/392)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 6362?\nAnswer: -6361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*o - 225*o - 211*o = -96 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -177630060 divided by 44407515\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/18499 and 43\/897.\nAnswer: 1276431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let i(c) be the third derivative of -c**6\/120 - 2*c**5\/15 - c**4\/8 - 2*c**3\/3 - 2*c**2. Let j be i(-8). Solve -j = -7*p + f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1)**2 + sqrt(13) + 2 - (sqrt(13)*-1 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*o**5 + 1502*o**3 - 1247148*o.\nAnswer: 620*o**3 + 9012*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.21567 + 0.13767. Let a = t - -0.078. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 8*m**6\/35 - 6894*m**5\/35 + 1322497*m**4\/28 - 47109*m**3 + 35301*m**2\/2 + 10*m - 54. Find t such that y(t) = 0.\nAnswer: 1\/4, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 68, 67487 in descending order.\nAnswer: 67487, 68, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - d = -0*d + 11, -3 = -3*d. Sort 0, g, 1, 2.\nAnswer: g, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 297*m - 1780. Let s be f(6). Sort -1, s, 15, -1\/2, -15 in increasing order.\nAnswer: -15, -1, -1\/2, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/27)*l**(-24\/7) assuming l is positive.\nAnswer: l**(-641\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -91*s. Let c(m) = 166017*m**2. What is k(c(b))?\nAnswer: -15107547*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -1\/6*c**3 + c + 0 + 1\/12*c**4 - 1\/2*c**2. Let g(m) = m**3 - 8*m**2 - 230*m + 1307. Let p be g(17). Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249597923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**2 - 610*f + 827. What is s(-104)?\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (784\/(-70))\/((-1)\/5). Let a = 93 - k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c. Let m be 56\/32 - (-2)\/8. Suppose 3*k + 2*k - 10 = 0. Let d(o) = o**3 - o + 76*o**k + 9*o - 84*o**2. Determine m*d(n) + 14*h(n).\nAnswer: 2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 11*j**2\/2 + 6*j + 7. What is the units digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7726*1390.\nAnswer: 10739140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 16*n**3 - 4*n**3 - 7*n**3 - 5*n**3 + n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39658, -39663, -39670, -39679, -39690?\nAnswer: -39703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 37*m**3 - 39*m**3 + 8*m**3. Let g(c) = 30*c**3 + c. Suppose -2*o + 17 = 13. What is o*g(y) - 11*a(y)?\nAnswer: -6*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4607\/15 + -307. Suppose 4*g + 3 = -3*l - 10, -g = 2*l + 2. Put y, 40\/7, g in increasing order.\nAnswer: g, y, 40\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*m = 29782, -5*m = 5*r - 2*r - 22351. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*o + 24, 0 = -u - 0*o - 4*o + 19. Let z be -1 - (3\/(6\/(-8)) - u). Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 + 2*g**3 + 4*g**2 + 3 - 6 + 2*g. Let l(k) = 2*k**2 - 4*k**2 + 3*k**2. Let c be l(2). Give u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73492*b**6*x**2 + 5*b**6*x - 7818*b**2 + 18*x**2 wrt b.\nAnswer: 8819040*b**3*x**2 + 600*b**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - n)*(7774*n**2 - 19312364*n + 19312364*n).\nAnswer: 15548*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1335 + 1265.7. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.4 + 28.399596. Round p to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (-33 + 43 - -26)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*p - 19, -4*x + 20 = 5*p - 3*x. Suppose p*t - 9 = -3*k, 21*t = 19*t - 4*k + 4. Solve 0 = -c - 2*l, 5*c - t*l - 28 = -0*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -1 (b) -1\/2 (c) -6 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 56*k - 134 - 280 = 0. What is the nearest to 1\/5 in 40, k, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or -181?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 277*b**2 + 154*b + 120. List the prime factors of l(11).\nAnswer: 3, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05 and 0.056813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.088 and 443229279106.\nAnswer: 443229279106.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:46 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 195 and 0.08.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/10*(-25)\/(-10). Suppose -2*p + p = -2*w, 4*p + w = 18. Sort n, 0, p in decreasing order.\nAnswer: p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ojooooojojo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67 and 11321.\nAnswer: 758507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 58890 divided by 10\nAnswer: 5889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-588)\/(-8)))\/((-40)\/(-42)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 654 - 641. Solve -15*l + v*l = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:14 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let n(x) = -x**2 + 5*x**2 - 5*x**2 - 2*x**2. Give m(n(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 11\/210*l**7 + 0*l - 1\/24*l**4 + 0*l**3 - 31\/60*l**5 - 32 + 1\/60*l**6 + 2*l**2. What is the third derivative of i(a) wrt a?\nAnswer: 264*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -14 (c) 52 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5624 - 5?\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4076 (base 10) to base 5\nAnswer: -112301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -608 + 1412. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 193088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 54131a?\nAnswer: 54131d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*w + 13*w. Suppose 0 = 2*y - w*s + 16, 3 = -s + 6. Let n = 0.9 - 1. What is the nearest to -0.2 in n, y, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (9 - 5) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42892 + 48153 + 47459 = -2224*x - 114080 for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15997282 and 322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 248281 - 248485 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2719*q**2 - 3*q + 15. Let m(x) = 17173208*x**2 + 18949*x - 94745. Calculate 18949*i(t) + 3*m(t).\nAnswer: -2707*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1 + 5 + 9 + 8 - 5*a. What is the units digit of u(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433695044*w**3 + 262*w - 159868 wrt w.\nAnswer: 2602170264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-5162\nAnswer: 103.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*(-13 + 1). Suppose 0 = -4*b + 3*y - s - 21, -b = 4*y + 30. Let j = b - -20. What is the remainder when 27 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855867*m**2 + 46*m**3 - 855867*m**2.\nAnswer: 46*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h - 52*h**2 + 53*h**2 - 11*h - 297*h**4 - 1 to j + c*h**2 + q*h**3 + w*h + a*h**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*h - 8*h + 12, 0 = h - j - 12. Let y(u) = u**3 - 13*u**2 + 12*u. Let z be y(h). Suppose z*g + 134 = 2*g. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5459 + 5369. Is 0.21 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*z + 2*r, 5*r = -5*z - 0*r. Let s be (-98)\/(-320) + 2\/z. Let f = -79\/160 - s. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/2*(-6)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/16839 and -27\/7?\nAnswer: 117873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100711869 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010 and 14510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + 2*s + 3. Let g be z(-2). Let f = 9731 + -9635. What is the highest common factor of f and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or 1\/56?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059002?\nAnswer: 2, 2029501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -255*v + 65*v + 77*v as r*v + f and give r.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-10) - -4) + (-93)\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1026 + 1057. Let j = -209 - -102. Let h = -50 - j. Calculate the remainder when h is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let g(x) be the third derivative of -x**5\/120 + x**4\/24 + x**3\/6 + 2*x**2. Let i(t) be the first derivative of g(t). Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + f + 5. Let t(r) = 1. Let q(z) = a(z) - 4*t(z). Determine q(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 32*c - 24. Let j be w(-15). Let v be ((-5)\/((-10)\/j))\/3. Let q be (-1)\/(-4)*(-8)\/50. Which is greater: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 187*z - 184*z. Sort 3, 10, z in ascending order.\nAnswer: z, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -61*p**2 - 12*p - 13. What is u(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 8*i + 3. Let v be p(-5). Let m = -11 + v. Suppose 0 = -m*d + 5*d - 45. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 - (-7 + 3 + -18). Let t(g) = -g - 7. Let p be t(-10). Solve -p*f + 6*f = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 186*j**2 - 366*j + 182.\nAnswer: -2*(j - 91)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3677883 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(4\/32). Suppose -4*s + 26 = 6. Suppose -y - 4*w = 3, -s*w - n = 3*y - 16. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -54*b**2 - 26. Let u be z(6). What is u rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 m when three letters picked without replacement from zipqpim.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 + 1064064*p + 2128112 = 0 for p.\nAnswer: -266014, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (-10)\/(440\/84) and -47\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 4*z. Let s(m) be the first derivative of 13 + 0*m + 4\/3*m**3 - 17\/2*m**2. Let r(j) = -2*s(j) - 9*w(j). What is q in r(q) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5917415, -5917405, -5917395?\nAnswer: -5917385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -76. Let s be (25 - -52) + k\/1. Suppose -b - s = -5*g, -6*g + 4*b + 68 = -g. Calculate the lowest common multiple of g and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1566483 rounded to two dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*l + 2*l - 2*d, 2 = -2*l - d. Suppose 5 = x - l*x. Solve y = x*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose 4*x = 3 + 1. Let p = d - x. Which is bigger: -1\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -5) + (-22 - -14 - -19) - (35 + 0)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + g - 2 + 0. Let r be z(-3). Suppose -r*a - 13 = -d, 4*d + 0*a + 2*a - 34 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t, -2*g - 2*t - 2 + 4 = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 3*a - 5. Let u be (-8)\/(-44) - (-57)\/(-11). Calculate the remainder when 18 is divided by j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.41. Let n = -0.01 - q. Let r = -0.2 + n. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5 + 3, -5*q = 3*p + 94. Is 1759 - (q\/(-2))\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/12 - 126*k. Let o(n) = 34*n + 2. What is o(y(v))?\nAnswer: 34*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/30 - 625*r**4\/12 - 208*r**3 - 773*r**2. Factor u(h).\nAnswer: -2*(h + 1)*(h + 624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 - 117. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 636847 in descending order.\nAnswer: 636847, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20179 is divided by 6383.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/14 + 26*x**3\/21 + 46*x**2\/7 + 96*x\/7 + 1528. Factor w(l).\nAnswer: 2*(l + 2)*(l + 3)*(l + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*(-13 - 4216\/(-357)). What is a in h + 5\/3*a**3 + 35*a + 20*a**2 = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(-3 + sqrt(117)))**2.\nAnswer: -330*sqrt(13) + 3046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-14 - 1 - (24 + 2 - 21))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 59239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3*4*(-7)\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 20640*w + 82559. Calculate o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(120\/(-15))\/56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -843*l**4 - 830*l**4 - 837*l**4 - 6*l**2 + 2509*l**4 + 5*l**3 + 3 to b*l**3 + w*l**4 + i*l + a + k*l**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 1428 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -31503*w + 315027. Determine a(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33015.\nAnswer: 3, 5, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-1 + 3 + 0)*(-8*n**3 + 10*n**3 + 18*n**3).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -18*q + 18. Let x(n) be the second derivative of 1\/18*n**4 + 0*n**q - 1\/18*n**3 - 1\/60*n**5 + 2*n + 0. Factor x(k).\nAnswer: -k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4745259.149 - 0.1?\nAnswer: -4745259.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 5. Let u be s(-8). Let v(z) = -11*z + u*z - z. Let g(n) = -n**2 + n + 1. Let y be g(0). Determine v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 69485.264067 and -0.49.\nAnswer: 69484.774067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3776 or 3777?\nAnswer: 3776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 6*j**2 - 7*j**2 + j. Let l be u(-1). Suppose 4*p + 96 = l*m - 50, 3*p = 5*m - 142. What is the highest common factor of 65 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - 6*z)*(4 + 7 - 10*z - 12).\nAnswer: 70*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1090 and 40601410?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - r + 6 = 0, -2*i + 23*r = 22*r - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 + 0 = 0. Solve 0 = -3*z - 4*q + 12, -7*q = -2*z - l*q + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 42 = 6*b - 3*h + 3*h, 0 = 5*b - 4*h - 41 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 + 2. Let c be q(2). Calculate the highest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (262 - 255) + -10 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2\/2 + 18814074*j + 58994896746246 = 0.\nAnswer: -6271358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2303 divided by 5.\nAnswer: 2303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628225795.\nAnswer: 5, 23, 877, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {b: 4, v: 4, x: 2, p: 8, e: 1, l: 1}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2442363 millimeters to meters.\nAnswer: 0.0002442363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 0*n + 4*n. Let j(m) be the second derivative of -m**3\/3 - 3*m. What is a(j(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9 - 19. Let y(d) = d - 2. Let i be y(x). Suppose 2*b = i*b - 15. Solve 0 = 3*s + 2 + 1, -2*o = -3*s - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 0*i - 1332 = 0. Calculate the remainder when i is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-684)\/1512 - 3\/(-18))\/((-468)\/(-273))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*56\/848*(-12)\/(-42)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 20. Suppose 2*a - 3*a - x*u + 19 = 0, -5*u = a - 13. Let k = -8 + a. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43495117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five quarters of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from bpblrrrrlbpbyybypbb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28549 is divided by 4569.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 7. Let r be g(-3). Solve 16 = 2*a + r*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -212\/5?\nAnswer: -212\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(5580*z + 86*z**2 - 5580*z).\nAnswer: 172*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 17*f**6\/30 + 17*f**4\/8 + 23*f**2. Find the second derivative of j(r) wrt r.\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -59. Let m = a - 60.96. Is m >= 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2388 and 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/(-22 + 16255572\/738888) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.9970245 to 2 dps.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 48. Let i be c(9). Let r(k) = -3*k - 24*k**2 - k + i*k - 9 + 25*k**2. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 104181946.\nAnswer: -41672778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 12*g**2 - 8*g + 13. Let x be l(9). Let k(b) = 6*b - 6. Let n be k(2). Does 15 divide x\/n + 16\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 1033 = 9*o + 1193 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1074898 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 + 8*g. Let o be m(-8). Let r(k) = 3*k**2 - 4 + o*k**2 - 2*k**2 + 3*k. What is r(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 238*w**2 + 29*w + 75. What is the tens digit of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*g + 46 = 0, 14*y + 46 = 13*y + 5*y + 2*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + 5.43297.\nAnswer: 4.13297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289185821 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {v: 3, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(304) + -1 + sqrt(304))*-5 - (-5 + (1 + sqrt(304) + 4 + sqrt(304) - (-1 + sqrt(304) + 2))))**2.\nAnswer: 616*sqrt(19) + 36833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2068*k - 450*k - 446*k - 1174*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1716 and 21733257.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368618101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 (base 9) in base 3?\nAnswer: -111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8082789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/16)\/x*x*x*x*x\/x**11 assuming x is positive.\nAnswer: x**(-129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(50)\/(sqrt(10)\/sqrt(2)))\/(sqrt(200)*-2)*-1*-6.\nAnswer: -3*sqrt(5)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 - -237. Let z = q + 186. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(8\/11)*u)\/(u*(((u**(-1\/3)*u)\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(101\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (2*sqrt(66))\/sqrt(6).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52 times 135?\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3436 + -2099394\/611. Which is bigger: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - (-535)\/(-25). Suppose 2*t + 199 = -5*p, 7 = 4*t - 5. Let u = z - p. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 786.0836us?\nAnswer: 0.7860836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 times 51323?\nAnswer: -7339189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 117, -54, -279, -552, -867, -1218, -1599?\n\"Answer: d**3 - 33*d**2 - 79*d + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**0)\/l**(-1\/6))**19)**(-5\/2) assuming l is positive.\nAnswer: l**(-665\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2249856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 1.352.\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.4. Let s = 7\/11 + -31\/66. Which is the smallest value? (a) -4 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31132096937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77433 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2113 divided by 4\nAnswer: -2113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 9315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29\/1273, 0.044, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201 (base 5) to base 4.\nAnswer: -30201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 798888179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/98 + 566\/7. Let f = 285 - 231. Calculate the greatest common factor of n and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -9128791.\nAnswer: -9128791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/11)\/q)\/q)\/q**(-8))**(18\/13) assuming q is positive.\nAnswer: q**(1224\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 110096.\nAnswer: 330288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 1763, 2640, 3517?\nAnswer: 4394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q**8*q)\/q*q))\/q*q**(-1\/6))\/(q**(-8)\/q*(q**2*q)\/q) assuming q is positive.\nAnswer: q**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/60 and 12 + -10 + (-161)\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 143.72 and 5?\nAnswer: 718.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 9*n + 234. Let r = 13 + -27. Let z = r - n. Solve -4*k + k = z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 293*y. Let f(r) = -2*r**2 - 2061*r + 2. Give l(f(i)).\nAnswer: -586*i**2 - 603873*i + 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i\/(i**3*i))*i))\/i**(-2\/25))\/(i**(-2\/15)\/(i*i**(-5))))**(-2\/47))**44 assuming i is positive.\nAnswer: i**(51392\/3525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 - 44236*h - 971256 = 0. What is h?\nAnswer: -11037, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 20*w - 47 - 48.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5 = d. Suppose 9 = 2*w - d. Suppose 0 = -w*c + n + 53, 6 = c - 4*n - 16. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let y(v) = -17*v - 11*v**2 + 7 + 2*v**2 + 15*v**2. Let f(l) = -5*s(l) - y(l). Let q be f(7). Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17735056 and 18504.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a factor of 36020235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 3589380576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 10. Suppose -9 = -w - 3*t, 0*t - 16 = -3*w + 2*t. Suppose 0 = -2*q - 20 + w. Give z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + (-2 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010011220 - -221?\nAnswer: 2010012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 1314275244 to the power of 1\/3, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2827428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/24 + q**3\/3 - 3*q**2. Let k be g(2). Let y(b) = b**3 - b**2 - 2*b + 3. What is the units digit of y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*l*n*p - 114932*l*n - 6*l*p - 2*l - 39*n*p + n + 1145443*p wrt l?\nAnswer: 39*n*p - 114932*n - 6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 10*w**2 + 9*w + 4. Let r be c(9). Suppose 0 = 3*l - 4*s - 0*s + 4, 0 = -r*l + 5*s - 4. Solve 2*t + l + 0 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouo when three letters picked without replacement from quoqo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000110001 + 111000101001101?\nAnswer: 1000000101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4 + 1)\/((-181)\/1448)*2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -14. Let z = 4 + -1. What is the remainder when 112\/z + (-2)\/(-3) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6984 and 3531456?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*((sqrt(26)*2 - sqrt(26))*4 - (sqrt(156)*2)\/sqrt(6)))\/((-2*sqrt(1728))\/sqrt(6)*-3).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -91 and -1.222962.\nAnswer: -92.222962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 1565 - 1565.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 7*i - 4. Let k be h(-4). Let g = 1814 + 4086. Suppose -k*s + g = -6*s. What is s rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*p + 51 = 4*w, 4*p - 72 = -w. Suppose 5*u + 15 - w = 0. Calculate the greatest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/132)\/((-1482)\/(-89661))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2457 and -1.\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10220, 10288, 10374, 10478, 10600?\nAnswer: 10740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 172 + 20. Let j = h - 38. Calculate the greatest common divisor of 418 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -121, -188, -257, -328, -401?\n\"Answer: -u**2 - 62*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.024960144285 + -65281.104885855715. Let y = x - -65281. Let p = y + 0.13. What is p rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 + 6099\/(-3210)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1689*g - 17808. Calculate t(11).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65\/6, 39, 27, 1\/38 in descending order.\nAnswer: 39, 27, 65\/6, 1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let v = -0.01 - 3.99. Let w = 424 - 427. Sort w, v, s in decreasing order.\nAnswer: s, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u + 25. What is t(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 5 (c) 4 (d) -3212 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/28 and (-2)\/6*2\/((-12)\/99)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8939\/145751 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.075 - 5.075. Let c = -1 - -8. What is the nearest to 0 in c, 0.4, -1, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 92\/99 (c) -19\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17156? (a) 0.4 (b) 2907 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 2*h + 3. Let r = 27 + -21. What is the remainder when t(4) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/(-16)*12\/60?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 41, 0.029, 1\/5, -5 in decreasing order.\nAnswer: 41, 6, 3, 1\/5, 0.029, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 7. Is 3 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4421.4 to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2155507\/114 - -18908. Find the common denominator of l and 20\/213.\nAnswer: 8094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5, 10, -3585, 5, -4.\nAnswer: -3585, -5, -4, -2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550239 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 7) + 7 - (2 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 3, f: 2}. Give prob of picking 1 x and 3 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, m: 4, k: 2}. Give prob of sequence xmkm.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 2*n + 10. What is r(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 27 = -15*y. Which is the nearest to -1\/3? (a) y (b) -2\/21 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5 - 3*q**4 + 9*q**3 + 15*q**2 + 6*q = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0 - 1\/3*i**4 + 5\/6*i**3 - 10*i**2 + 1\/10*i**5 + 0*i. List the prime factors of q(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 - 13*q**2 - q - 3. Calculate v(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/31))**(12\/7)*((g*((g\/(g*g\/g**(6\/13)))\/g)\/g*g)\/g)\/g**(-4\/9) assuming g is positive.\nAnswer: g**(12940\/25389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**2 - 53*m**2 + 23*m**2 - 70*m**2 - 30*m**2.\nAnswer: -150*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 3)*(-5*h + 3*h + 6*h) + (6*h - 4*h + 7*h)*(-1 - 4 + 2))*(-3 - 1 + 2).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 smaller than 887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1094298 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w + 584. What is the remainder when y(30) is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 305c43 + -2?\nAnswer: 305c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -1. Suppose -v = 3*b - m, -5*b + 19 = 3*v - 0. Solve -b*s - 23 = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3346 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**2 + z - 1\/6*z**3 + 0. Let v(s) = -6*s + 6*s - s + 3*s. Calculate x(v(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7 - 1. Suppose 5*f - 5*t - 50 = 0, -21*f - 3*t = -25*f + 38. Calculate the smallest common multiple of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r - 2*r + 2*r)*(31158*r - 12945*r + 8151*r + 27109*r) to n + q*r + c*r**2 and give c.\nAnswer: -267365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 562, 1946, 4264, 7528, 11750?\n\"Answer: 2*p**3 + 455*p**2 + 5*p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqnytnqyyynyty. What is prob of sequence qttn?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52675, 105349, 158023, 210697, 263371, 316045?\nAnswer: 368719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 5. Let t(j) = 8*j + 11. Let s(q) = -13*f(q) + 6*t(q). Find the first derivative of s(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-8) + -5 - (-4747)\/188. Solve q*c + c = -200 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*3\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 2799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13034 and 5614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 5, -10, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3627*k**3 - 7536*k**2 - 15*k + 5. Let w(n) = -3626*n**3 + 7539*n**2 + 18*n - 6. Let x(o) = -6*f(o) - 5*w(o). Find the third derivative of x(p) wrt p.\nAnswer: -21792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 96.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 10\/71 (c) -0.1 (d) 1\/4 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 34*u + 385. Let t(o) = -o - 14. Calculate t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c - 8. Let a be v(10). What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -187*g - 230*g + 160*g. Let n(y) = -4*y. Calculate n(k(z)).\nAnswer: 1028*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*i + 2*t - 22 = 742*i, -i + 2*t = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (43 - -5)*177\/(-81). Let g = o - -105. Which is the nearest to 0? (a) 0.5 (b) g (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttyyyyyyyytyy. Give prob of sequence ttty.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1643, -3318, -4993?\n\"Answer: -1675*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931987.\nAnswer: 1931987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19449 + -19448. Let k(l) = l + 1. Let f be k(4). Put -5, -4, u, f in descending order.\nAnswer: f, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-154) + (-28)\/77 + 230\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357298736?\nAnswer: 2, 491, 45481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c + 3. Let h be d(0). Let s(w) be the first derivative of 2*w**2 + 8 - 4*w - 2\/3*w**3. What is s(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274076 - 2588*v - 274076.\nAnswer: -2588*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let t be r(-2). Suppose t = -4*c + 14. Suppose 9*y**2 - y**4 - 4*y - 15*y**2 - 1 - y**3 - c*y**3 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157409?\nAnswer: 7, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 = 11. Let c = -2 - -4. Suppose 0 = -c*h + 3*h - 4. What is the lowest common multiple of n and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**5\/30 + z**4\/24 - z**3 + 3. Let q(n) be the third derivative of x(n). Is q(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/208375059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55997?\nAnswer: 55997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - p, 5*g - 2 = 4*p + 4. What is the closest to -2 in 2\/17, -2\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + (-4 - (-8 + 12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4291, -10366, -18237, -27904?\nAnswer: -39367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 10*u - 32. Solve 0 = 4*l - u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2\/6)*3. Let a(s) = -54*s**g + 23*s**2 + 30*s**2. Let p(k) = 2*k - 3024 + 3024 + 13*k. Give p(a(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 412*u**3 - u**2 + u + 1. Let x = 50 + -49. Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*d - 40*d - 94*d - 2*d**4 - 2*d**3 + 15 to i + z*d**2 + t*d**3 + n*d + x*d**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222174.\nAnswer: 2, 3, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5978, -7562, -9146, -10730, -12314, -13898?\nAnswer: -15482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 5*g + 14. Let c be b(-6). Let q be 108\/(-24) + c\/4. Is q smaller than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-226554)\/3782 + 54\/(-558).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 104 = -4*x, -3*x + 2*x = 3*p - 32. Suppose -826 = -8*f - 482. What is the remainder when f is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4\/8 + 678*p**3 - 1422783*p**2\/4 + 57996015*p - 461127975\/8 = 0.\nAnswer: 1, 385, 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2822 = 3*l + 2826, -l - 5*v = -20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -0.4 (c) 0 (d) 43.149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3782, -5426, -7044, -8642, -10226, -11802, -13376?\nAnswer: -14954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -475320 divided by 6\nAnswer: -79220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639?\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -45. Is -26 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*z**2 + 19*z**2 - 52*z**2 as h*z + j*z**2 + o and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -337, -508, -681, -856, -1033, -1212?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640769 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.645 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - 118?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = 3. Let v = -1 + m. Let l(w) = -w**3 + w**2 - w + 1. Let s(c) = -c**2 + c - 14. Let y(h) = -l(h) - s(h). Calculate y(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*o - 6 = -6*u, 5*u = -2*o + 30. Suppose 12 + 12 = u*j. Solve 5*g - j = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478831?\nAnswer: 23, 113, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 3, q: 6, a: 1, t: 2, w: 4}. Give prob of picking 1 c, 2 w, and 1 a.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20*(-7)\/196*-30.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 3 - 3)*(-2*s**3 + s**3 + 3*s**3) + (126*s**2 - 39*s**4 - 126*s**2)*(2 - 2 + 3) in the form x*s**3 + d*s**2 + o + h*s**4 + a*s and give h.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 75. Suppose 53 - 8 = m*g. Let z(s) = -s**2 + 11*s - 10. What is the remainder when z(g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u*u**(2\/23)*u)\/u*u**(-12))**26)**19)**(-6\/7) assuming u is positive.\nAnswer: u**(607620\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -884 in 2, -5, 35, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(425) + -2)*-6 + 5)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:35 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1 - 7*m + 10*m - 15*m + 13*m. Let i(d) = -17*d - 2. Let x(c) = 8*c + 1. Let o(t) = 6*i(t) + 13*x(t). Calculate 3*o(n) - 5*z(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164 and -0.24.\nAnswer: 39.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833.5168um to millimeters.\nAnswer: 0.8335168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-91))\/(34\/7)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10051053 - 5?\nAnswer: 10051044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(5*(sqrt(5) - sqrt(45))) + -5 - ((sqrt(80) - sqrt(80)*-1)\/sqrt(2) + sqrt(40))\/sqrt(2)*-3)**2 + 5.\nAnswer: -178*sqrt(5) + 8071\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(14\/18)*1\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 862177.9cm in micrometers?\nAnswer: 8621779000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + (-201 + 250 - (33 - -1))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.8 - 8. What is the nearest to -5 in o, 5, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143b479 (base 12) in base 6?\nAnswer: 223031033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*j**2 - 383*j**2 - 317*j**2 + (-2*j + j + 4*j)*(-j - 4*j + 0*j) in the form r*j**2 + y*j + b and give r.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88800 - 37977 = 6037*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 2*f + 3 + 2*f + 3*f**2. Let n be q(-3). Let t = -18 + n. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-5))\/((-35)\/210). Which is the third smallest value? (a) 0 (b) -0.3 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2123a78 (base 12) to base 4\nAnswer: 113322200330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + 5*i**2 - 2*i**2)*(-i - 7*i + 4*i) - 35*i**3 + 90*i**2 - 381*i**2 + 196*i**2 in the form c + y*i**3 + t*i + m*i**2 and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179976 by -4.\nAnswer: -44994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 844988 divided by -211247.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371\/10280 - 10\/257. Let d = i - -49\/120. Factor -d*b - 1\/3*b**2 + 0.\nAnswer: -b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45967697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*k - 238*k = -7583630. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*m = -198. Let q = 66 - m. Solve -7*c + 4*c + 9 = q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12521300 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185\/2 + 93. Let w = -1.5 - -1.544. Let g = -0.356 - w. Which is the closest to k? (a) -1\/4 (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -23. Let u be 6*(g + (-4)\/8). Solve -u*k + 2*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 10*z - 1. Suppose 2*f - 4 - 10 = 0. Let w be t(f). Suppose 2*l = 5 + w. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*o - 6*o - 56, -o + 56 = 4*b. Suppose -5*x = -10, 2*s = -3*x - 4 + b. Solve s*f - 6 = 0, -2*k - 2*f - 8 + 22 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21252 and 5764.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -165, -370, -657?\n\"Answer: -41*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjjpqpq. What is prob of picking 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/14*(-210)\/(-7245)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-3))**(-50))**(10\/3))**(-1\/17))**(-21\/4) assuming n is positive.\nAnswer: n**(2625\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 7*s**2 - 6*s + 1. Let a = 9 + -15. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 160, 246, 366, 520, 708, 930?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) - (sqrt(336) - (sqrt(336) - (sqrt(336) - sqrt(336)*-1))))\/sqrt(8)*6)\/(5*-2*sqrt(96)))**2.\nAnswer: 63\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29060 = 1084*k + 3460 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -36*q**2 - 226*q + 15. Let b(j) = -11*j**2 - 75*j + 4. Give -13*b(f) + 4*o(f).\nAnswer: -f**2 + 71*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2891327.\nAnswer: -2\/2891327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/30 - x**4\/3 + 7*x**3\/6 + 14*x**2 + x. Let k(j) = -j**2 - 4*j + 3. Calculate 7*k(g) - 3*p(g).\nAnswer: -g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = -2*l, -17 = -5*l - 3*r + 26. Let o(f) = -f**2 + 6*f + 18. Let j be o(l). Suppose 0*h + j*h - 42200 = 0. Round h to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111101 (base 2) to base 10\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87320917461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112250 and 70670?\nAnswer: 793270750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002001 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-162))\/(2 + (-5)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 4*w**3 + w**2 - 6*w**3 + 2242 - 2*w**2 - 2116 as j + c*w**2 + a*w**3 + r*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -559b1 - -3?\nAnswer: -559ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 76*o - 9. Let w be p(1). Suppose 0 = -5*q + 4*x + 244, 2*q - x - w = 30. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 109\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 711256 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7122.2 - 510416.\nAnswer: -503293.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**(2\/7)*a)\/a*a)\/a)**39*a**(-2)*a**(3\/5))**(-6\/35))**(-30) assuming a is positive.\nAnswer: a**(61416\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 5993.1446119.\nAnswer: -5992.9446119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105441 + -3?\nAnswer: 105435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 394418*n + 8282787. What is y(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:20 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 4*z. Let p be b(5). Suppose -5*y + 40 = p*s, y - 2 = -0*y - 4*s. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -37. Let z be 3\/(y - 60\/22). Suppose z*c - 2 = 10*c. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21350 * 0.2.\nAnswer: -4270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {a: 3, s: 6, m: 3, x: 1, t: 1, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8800595 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(112)) - sqrt(112).\nAnswer: -24*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4890509938 and 151.\nAnswer: -4890509787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajxxfffijffjjfm. What is prob of sequence ai?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207 - 206.8. Let r = -1.95 + 0.95. Let v = 16 + -12. What is the closest to r in z, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 799\/2 + -390. Let y be ((-13)\/39)\/(((-35)\/3)\/(-7)). Which is the nearest to -0.1? (a) y (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2444600 by 20.\nAnswer: 122230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 87, 161, 243, 327, 407, 477?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 8) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**2. Let u(m) = 6*m + 17. Let i(t) = 3*t - 3*t + 6 - 2*t + 4*t. Let q(h) = -17*i(h) + 6*u(h). Determine s(q(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose 1379 = 210*p - 1981. Solve p = -q*i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2202\/25255 + -62197909\/71774710. Let h = 33323 - 1632937\/49. Let d = j - h. Calculate the common denominator of -103\/14 and d.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/(-2))\/((-3)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f - 47*f + 13*f - 504 + 14*f + 8*f in the form o + t*f and give o.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*a + 1132 = -877 + 621 - 3056 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92\/19 or 4?\nAnswer: 92\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3268\/(-36) + -5 + (-16)\/72. Is m not equal to -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-19)*(d\/(d*d*d**(-1\/3)))\/d*d**(-2)*d**(-4\/3)\/(d\/((d*d\/(((d\/(d\/(d**(-2\/9)*d)))\/d)\/d))\/d*d)*d)*d*d**(-2)*d**(1\/3)*d assuming d is positive.\nAnswer: d**(-202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 92*f**3 - 20*f**3.\nAnswer: -111*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/((l**4\/l)\/l))\/(l\/(l*l\/(l**(-3\/5)\/l))))\/(l**(-1\/2))**(-27))\/((l**(3\/5)*l**(1\/3))\/(l**(-5)\/(l\/(l\/(l*l**5))))) assuming l is positive.\nAnswer: l**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -299. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16987457329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 + 203. What is the greatest common divisor of 88 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 6.8\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(720))*4*5 + -1.\nAnswer: -1 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9118244 minutes?\nAnswer: 54709.464","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -1\/4*k**4 + 0*k**2 + 3\/2*k**3 - 1 + 6*k. Let h(v) be the first derivative of r(v). Factor h(z).\nAnswer: -3*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*k - 3796 + 3772 = 0, 0 = -5*p + 3*k - 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 + 5*r - 1. Suppose 5 = -5*y - 15. Is s(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*d**5\/11 + 4266*d**4 - 13639578*d**3\/11 + 295766154*d**2\/11 - 860494452*d\/11 + 646291440\/11 = 0. What is d?\nAnswer: 9\/7, 2, 20, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -37*l**2 - 15*l - 4. Let d(u) = -3*u**2 - 2*u - 1. Calculate -b(z) + 5*d(z).\nAnswer: 22*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 2, s: 7}. What is prob of picking 1 r and 1 x?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(126)\/sqrt(2) - (0 + sqrt(343) - sqrt(343)))*-6.\nAnswer: -18*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*b + 2789 - 235 = -1331 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 110 - (-2251 + 2260)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 * 1\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345581074?\nAnswer: 2, 172790537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29248627 by 52511.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 4 + 0\/(-1). Let o(p) = 2*p - p**3 + 2*p + 3 - p**2 + 3*p - 4*p. Calculate o(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m - 125*m - 84*m.\nAnswer: -235*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67033412 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298\/5 - 60. Let k = -21 + -0.5. Let r = k + 22. Which is the nearest to h? (a) 0.3 (b) 2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159 divided by 3288\nAnswer: -53\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -19. Let h = -7 - p. Sort 3\/4, 1\/4, h.\nAnswer: 1\/4, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99117, 792959, 2676281, 6343833, 12390365, 21410627?\n\"Answer: 99125*n**3 - 10*n**2 - 3*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2 - -8)*2\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 2*r**4 + 5*r**2 + (0*r**3 + r**3 + 0*r**3)*(-2*r - r + 2*r) - 3*r**2 + 3*r**2 - 2*r**4 - 3*r + 3*r - 3*r**4 + 0*r**4 - 14*r**4 + r**4.\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/20*-2)\/((156\/72)\/(-13))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.2. Let k = -19 + 23. What is the nearest to 2 in 0.1, c, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-25)\/8) - 1. Let y be (-1)\/(-4) - 2\/8. Suppose y = 4*m + 9 + 3. Which is the second smallest value? (a) s (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 + 178*j**3 + 17*j**2.\nAnswer: 178*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -11*a**4\/24 + 3*a**3\/2 - 3*a**2. Differentiate r(g) wrt g.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1377)*1*-4 + -2*(-5 + (((-2*sqrt(153))\/sqrt(9))**2 - sqrt(17))).\nAnswer: -34*sqrt(17) - 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 428.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 2*p**2 + p + 1. Let o be a(1). Let g be (2\/(-156)*o)\/(1\/(-6)). Factor -18\/13 - 12\/13*d - g*d**2.\nAnswer: -2*(d + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6014*i + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from cyyyyyyyyyyycyyyyy?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 7. Let m be (u\/4)\/(5\/(-260)). Solve 3*z + 17 = -2*q + 8*z, -2*z = 4*q - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 4197 + 7703. List the prime factors of f.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -217*j - 3669. Determine s(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226702, 454007, 681312?\nAnswer: 908617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 3\/2 (b) -0.12 (c) 42111 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -101. Solve 5*h - m = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4765?\nAnswer: 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23520811 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61587, 61589, 61591, 61593, 61595, 61597?\n\"Answer: 2*f + 61585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from beepbbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) -490 (d) 284 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.005 + -0.205. Let i be (-24)\/(-1) + 4 + -2. Suppose -53 + i = 3*z. Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 + 7*i - 4. Determine s(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 15) to base 3\nAnswer: -1021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/3 + 238226042*a\/3 - 238226044\/3 = 0. Calculate a.\nAnswer: -119113022, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d**(-37))\/(d**28\/(d**(-8)*d)) assuming d is positive.\nAnswer: d**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23*f + 3. Give v(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 36*n**2 - 85*n + 42. Let p be h(-35). Suppose -p = -13*z + 6*z. Does 62 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1261, -1167, -1085, -1015, -957?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2. Let b be ((-12)\/8)\/((-2)\/4). Let k be (-1)\/((12\/(-8))\/b). Let c(f) = -3*f**2 - 13*f**2 + f**k + f**2. Calculate c(i(w)).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 257900 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-2 - 625 - (2 - -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 - 5 = 0. Suppose -3*w - 460 = -o*w. Suppose -4*b - w = -3*n - 0*b, n = b + 32. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 15108632.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 t when four letters picked without replacement from ltlllttlltllllllltll?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*l = 66504, 7*z - 2*z + 4*l = 166230. Is z a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose 5 = g, -z*t - t - 4 = -4*g. Suppose -y + t*y - 39 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:45 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsibisiii. Give prob of picking 2 b and 1 i.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 o when four letters picked without replacement from oooooooonnonooo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from auuuiuxaauuuuiaa.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 83 + 48 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1b5 (base 12) to base 14.\nAnswer: 705b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/8)*v)\/v)\/(v\/(v**(-17)*v*v))*(v*v**(3\/10))\/(v*v**(-1\/2)) assuming v is positive.\nAnswer: v**(-613\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26626 + -706. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1356855*o**2*v - 2992128*o**2 wrt v.\nAnswer: 1356855*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.212861 to 3 dps.\nAnswer: 1.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11215 + 12003. What is the greatest common divisor of 7289 and u?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101032211 - 1?\nAnswer: -101032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -5 + 16656\/56. Let y = -298 + q. Let b = 175\/4 - 44. What is the nearest to 0 in -4, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2700 * -4317.3.\nAnswer: -11656710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v + 1. Let l(r) = 57*r + 28. Calculate -3*l(o) - 21*z(o).\nAnswer: -3*o - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240514 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/6)\/((-17)\/136). What is the closest to 2 in 2, j, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -250.06 (b) -142 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 19 = 3*c, -i + c - 50 + 41 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 42*i + 33*i - 74*i)*(-1 + i + 1).\nAnswer: i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 331, -4 in ascending order.\nAnswer: -4, 1, 4, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rppd when four letters picked without replacement from pdpdpvpprrrprpdr.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22975, -46890, -70805, -94720, -118635, -142550?\n\"Answer: -23915*i + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, u: 1, l: 2, b: 2, x: 2, a: 1}. Give prob of picking 4 j.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by 9.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 458137.6.\nAnswer: -458137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 plus -35035?\nAnswer: -34931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*r + 3*z - 13, 12*z - 8*z = 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.5, 0, 333\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7498, 7498, 7486, 7456, 7402, 7318?\n\"Answer: -l**3 + 7*l + 7492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (9 + -20 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2925031 to 2 dps.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33028616 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2685458*h**3 + 9*h**2*r - 198*h*r + 76*r + 153 wrt h?\nAnswer: 16112748*h + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40388 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308394*f**2 + 25*f - 26465699 wrt f.\nAnswer: 616788*f + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 102230?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4*m - 1629 = -9*h, -2*h + 1072 = 2*m. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*z**4 - 11*z**3 - 1256*z wrt z?\nAnswer: 264*z**2 - 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 3*m**2 - 150 + 88.\nAnswer: 3*m**2 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -0.076454.\nAnswer: -0.126454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 - 5552*w**4 + 555784*w**3 + 11759558*w**2 - 84963495*w + 134498250 = 0.\nAnswer: -5650, -23, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 3, t: 2, i: 2, q: 1, o: 2}. Give prob of sequence sss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4636992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198232?\nAnswer: 2, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -260*-28\nAnswer: 7280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12153052, -12153046, -12153040, -12153034, -12153028, -12153022?\n\"Answer: 6*f - 12153058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 2\/7 (c) 0.06 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n. Let q(i) be the first derivative of -i**5\/60 - 2*i**3\/3 - 15*i**2 - 23. Let c(j) be the third derivative of q(j). Calculate c(l(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006881 to five decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 557661661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/(p*p\/(p**(-7)*p*p)*p*p)*(p\/((p*p**(-5)*p*p)\/p)*p)\/p**(-2\/21) assuming p is positive.\nAnswer: p**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(66)*-3*6 - sqrt(66))\/(-2*sqrt(96)))**2.\nAnswer: 11913\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/4837 and -47\/5.\nAnswer: 24185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141307166 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 13, -3\/7, 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16356 - 16147.49. Let y = o + -212. Let d = y - 0.01. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84335149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111243734585 - 12*j + 111243734585.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t**2 - 57*t - 333. Determine u(9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 - 131. Put -3, 1.1, n in ascending order.\nAnswer: -3, 1.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88687 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 - 41*z**2 - 12. Let j(m) = m**2 + 4. Calculate -g(a) - 3*j(a).\nAnswer: 7*a**3 + 38*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 477\nAnswer: -477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 9 - 3 - (3 - -2) - -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -9, -27, -1, -2.\nAnswer: -27, -9, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o**2 - 53*o - 5. Let c(d) = -17*d**2 + 52*d + 4. What is 4*c(b) + 3*j(b)?\nAnswer: 4*b**2 + 49*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -22*w - 949. What is v(-35)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478938 is divided by 3236?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) 0.1391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - (9 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 165*b - 642. Give j(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j*v**3 - 4007*j - 144*v**3 wrt v?\nAnswer: -15*j*v**2 - 432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 584*k + 22945\/3.\nAnswer: -(k - 1765)*(k + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053176348 + -94.9?\nAnswer: 3053176253.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.2 (b) -2 (c) -0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 48 = -4*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, k: 5}. Give prob of sequence ykkk.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01238 + 0.00208. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2074 + 3315. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31277.99929804 - 31278. What is z rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 23*l + 120. Calculate a(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(275) + 0) - (2 + sqrt(275) + -5).\nAnswer: -30*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*l = -2*x - 17, -60 = 5*x - 4*l. Let y(f) = f**2 + 7*f + 10. Is y(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -742*z**3 + 16*z**2 - 13*z - 8. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944314139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32339 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10*y*y**(-18) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2565350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*w**4 - 6 - 2*w + 83*w**4 + w**3 + 4 to the form b*w**4 + z*w**2 + n*w**3 + h + l*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1*(-2)\/(-15). Let y be (2\/(-4))\/((-21)\/84). Which is the third biggest value? (a) y (b) n (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (82 - (-20 - -15 - -32)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.894ns to hours.\nAnswer: 0.000000000166915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/36457 - -2661409\/874968. Find the common denominator of -815*7\/(-1120) - 8 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964, 5990, 9016, 12042?\nAnswer: 15068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let m be (-2 - -886)*(-11)\/(-22). Let v = 457 - m. Solve 0*f - b*f = -v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 87*y**2 + 310*y + 70. What is the tens digit of b(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/15 - 20636*o\/15 - 20642\/5.\nAnswer: 2*(o - 10321)*(o + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*l - 21 = m - 423*l, 0 = -m + 3*l - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f**3 + 51873 - 51873.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3885.\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*6\/24 + 1 + 0. Let v(m) = -m**3 + m**2. Let z be v(-1). Let l be (-26)\/(-7) - (-6)\/21. Solve -l*a - 5*h + 1 = z, y = 3*a - 2*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-6))\/(414000\/(-19875)) and 13\/1656.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2*w + 31237*v*w - 9*w - 1786 with respect to v.\nAnswer: 2*v*w + 31237*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 2. Let s(y) = 3*y - 7*y**o + 9*y**2 + y**3 - 6 + 9*y**2. What is the tens digit of s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3\/7 + 21*j**2 - 303*j\/7 + 153\/7 = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*f = -5*i - 47, -97 = 4*i + 3*f. Let b = -16 - i. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3538 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(98) + sqrt(98)))**2*-4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3. Let z(m) = 4*m + m + 2042 - 4107 + 2054. What is 22*l(n) - 6*z(n)?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 m when four letters picked without replacement from ttttmtmttt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 - 319.00000738. What is f rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8137630 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 60 = 7*r. Let y = 20 - r. Suppose -y*l = -9*l + 117. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, g: 3}. Give prob of picking 2 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/45*10\/(-88)*2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - f + 2. Suppose -6*k = -2*k. Suppose k = 2*o, 2*q - 2*o = 6*q + 8. Give n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 562 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(((sqrt(64) - (sqrt(64) + 1*sqrt(64))) + sqrt(64) - sqrt(64) - sqrt(64)) + sqrt(4) + sqrt(4)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) 0.16 (d) 4.6 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 527623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:07 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466510055 to the power of 1\/2, to the nearest integer?\nAnswer: 21599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 582 - 6384\/11. Is x at least -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7997\/3 - 2665. Which is bigger: u or -0.437?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*b**2 - 4*b + 17 wrt b.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22159100447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 9*p + 9. Let l(o) = 2*o**2 - 6*o - 1. Let u be l(11). Let c be (-1)\/(u\/45 - 4). Give n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 - 7*q - 7. Let u be n(-3). Solve 2 + 5 = 5*r + 3*k, u*r + 25 = 5*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:54 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391\/4 - 98. Which is the closest to 1\/4? (a) 2 (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 - 11*l + 4. Calculate c(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 15\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 5:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 26*b + 13. Let f be l(-14). What is the derivative of f - 31 + 27*d - 22 + 18*d wrt d?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071 - -1076. Let w = 1 + 0. Put -2, w, i in decreasing order.\nAnswer: i, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllvllllvlllllllll. What is prob of sequence vv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7234 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -8*d + 6. Suppose 0 = w + w + 4*t - 22, 0 = -d*w - 3*t + 30. What is the derivative of -3 - w + 5 + 12*p**4 wrt p?\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -928 - -1350. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1610 + 2319. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -726, -4, 5, 0.1, 4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 62, -37?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - g + 3 = 0, -6 = -3*s + 42*g - 44*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121039373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 108. Suppose -2*o = 3*w - 132, -4*o + 252 = -0*o + 3*w. Suppose 0 = -7*z + 12*z - o. What is the greatest common divisor of z and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 25*k**2 - 19*k - 334. Determine z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*x - 3*x - 13, 4*x = l. Let k be 20\/(l + 9) - 0. Suppose -k*f = 3*g - 4*g - 35, -5*f + g + 45 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2112*k - 2098*k + 3*j, -2*k + 4*k + 2*j + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 15) to base 14.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3*m**6\/10 - 621*m**5\/20 - 1181*m**4\/12 + 1669*m**3\/6 - 201*m**2 + 3905*m. What is o in w(o) = 0?\nAnswer: -67, -3, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*x + 21807 = 21691 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 5\/676?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-36)*(-3)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/245 + 1002\/2695. Let u be (20\/(-40))\/(1\/2). Is u at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32419810*s - 5254 = -32419739*s for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(605) + 1 + 3 + -5 - (1*2*sqrt(605) + -1*(sqrt(605) + 1)))**2*6*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 38 = -2*o - 0, 4*o = 20. Suppose h*f + 30 = 9*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*a + 282*a - 567*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 48 = -13*x + 5*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 - 146*r + 542. Give o(18).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c - 3*c**3 - 2 + 10*c - 3*c**3 as v + k*c**3 + f*c**2 + l*c and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11310 + 10?\nAnswer: 11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6513 - -28.\nAnswer: 20.3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283670617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 15*y - 576. What is the remainder when y is divided by -2*((-22)\/4 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 132\/5 and -648 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 10*n + 60. Let s be g(4). Solve 0*o - 12 = s*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-350)\/49)\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f**2)*(3 - 4 - 3)*(-69 + 3 + 17).\nAnswer: 196*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 500.653.\nAnswer: -2002.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 4 (c) 9 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, -5, -3, -0.0117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 10625 - 3527 = 0. What is the greatest common divisor of q and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*4*(-2)\/4. Let c(f) = -4*f**3 - 18*f**2 + 8*f + 1. Let u(b) = b**3 + b**2 + b. Let t(h) = c(h) + 5*u(h). Is t(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 26 = -s - 3*p, s - p = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -17.\nAnswer: 142\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1256689 + 195889 = -15*h. List the prime factors of h.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (-115 + 70) - 30?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2325 and 186.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-540)\/(-252))\/(27\/42))\/6?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -27241*m**2. Let q(c) = c + 349. Calculate q(a(y)).\nAnswer: -27241*y**2 + 349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-19 + 15)) + -13 + 36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -1025, -2243, -3907, -5993, -8477, -11335, -14543?\nAnswer: -18077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(8\/11)*n))\/(n\/(n**4\/n)))**(-36) assuming n is positive.\nAnswer: n**(-504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256 - -317. List the prime factors of f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1108 - -1822. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36\/61, -0.1, -1064 in decreasing order.\nAnswer: -0.1, -36\/61, -1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 2. Let a(b) = 11*b - 3. Let n = -2230 + 2225. Give n*q(m) - 2*a(m).\nAnswer: 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8579738 + 8579715.000036. Let v = h + 23. Round v to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 8*c - 33621. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481441 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: Calculate the remainder when -7*((-222)\/21 + 2) is divided by -14*((-6)\/(-4) - (-5 - -8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/23 (b) -3\/2 (c) -0.57 (d) -16 (e) 61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 575, 1137, 1685, 2213, 2715, 3185, 3617, 4005?\n\"Answer: -z**3 - z**2 + 572*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 + 10 + -13 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9*9\/(-81) + -12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 + -234.44. Let v = 24245482 + -24245482.44000028. Let w = r - v. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - -327. Suppose -3*g - m = 163. Let h = 115 - g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f + 4. Suppose 5*h = f*h + 6. Suppose 2*m = h*v + 14, 0 = 4*m - m + v - 9. Solve -3*l - 3*s = 0, 3*l - 2*l + m*s = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -2, 128, 0.\nAnswer: -351, -2, 0, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.122 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10466652 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8324, -17474, -26630, -35792, -44960?\n\"Answer: -3*l**2 - 9141*l + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 20 = -6*l. Solve -l*w + 2*k = -8, 3*k = 5*w - 21 + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253 - -2. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2617, 5205, 7747, 10225, 12621, 14917, 17095?\n\"Answer: -3*t**3 - 5*t**2 + 2624*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -90*(-9)\/36*88\/6. What is the highest common divisor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + c + 5*x - 5 = 0, -25 = 2*c - 5*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/4 - 1926\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7735 and 203699678.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v. Let o(g) be the second derivative of g**5\/60 + g**3\/6 - 3*g. Let y(z) be the second derivative of o(z). Calculate w(y(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9 + 1, 0 = 3*m + 2*m - x. Let f(r) = -r**2 - r - 1. Let p(j) = -3*j**3 + 3*j**2 - j + 4. Calculate m*p(i) + 3*f(i).\nAnswer: -3*i**3 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s + 238 - 238 + 2*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from {y: 7, h: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 37 + (-2 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**4\/24 - p**3\/6 - 23*p**2. Let s(c) = -6*c**2 + 46*c + 78. Let u be s(9). Let w(x) = -7*x + 2. Give u*r(o) + w(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 26*f - 305 = 0. Let p = f + -53. Suppose -9*k + 128 = -p*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157*a*j - 152*j with respect to a.\nAnswer: 157*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.87 (b) 5 (c) -0.09 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0083 and 0.2?\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17940 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 8*l + 3. Let q be m(8). Solve q*i = -0*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76101.2kg to tonnes.\nAnswer: 76.1012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 618*z**3 + 34*z - 2259*z**4 + z**2 - 2 - 619*z**3 + 2254*z**4 in the form u + i*z**4 + v*z**2 + a*z**3 + n*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c8 - -4a?\nAnswer: -367c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1251356907 to the nearest integer?\nAnswer: 35375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990702.\nAnswer: 2, 3, 23, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -1936.68.\nAnswer: -1162.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*j - 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 6 + -15 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = 3*n - 2*u, -u + 11 = -2*n. Let g(b) = b**3 + 5*b**2 - 3*b + 5. What is g(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 12.7. Let j = -4 + i. Let s = -83.6 - -85.6. What is the closest to -2 in 0.5, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362534 (base 8) in base 14?\nAnswer: a0b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-1)\/a)))**19)**41\/((a*a**1*a)\/a*a**(-4))**(-23) assuming a is positive.\nAnswer: a**(-1604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3 (c) -0.04 (d) -1 (e) -5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {e: 4, p: 4, g: 1, o: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8524383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let n = -2495\/6 - -416. Which is the smallest value? (a) -0.5 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 - -0.07. What is the second smallest value in j, 4, 3, -3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 131 and -14615883451?\nAnswer: 14615883582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(56)\/sqrt(4))\/sqrt(7))**2*-6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7941438 and 180.\nAnswer: 79414380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhh. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-24)\/(-10))\/(3\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -762.181 + 766.3. Round n to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 32 = -20*x + 21*x, 0 = -4*i - 3*x - 30 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {x: 4, q: 3, s: 2, z: 2, g: 1, w: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/4*(-11036)\/(-930). Let y = j + 196. Do y and 2\/205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -8010?\nAnswer: -8018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose -v = l*v + 10. Let b(w) = -w + 3. Let d be b(5). Is d less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 123 = -m, 3*k + 3*m - 71 = k. Suppose -2*n + k = -0*n. Let p = -1294 + 1294. Solve -4*d = -p*d + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234896.\nAnswer: 2, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 13. Suppose -5 = 6*q - 5*q. Let c(m) = m**3 - 7*m**2 + 6*m + 2. Let f be c(6). Let z(l) = 1 + 8 + f*l - 2*l + 4*l. Give q*t(v) - 7*z(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0512? (a) 0.3313 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3982 + -1133. Let i = m + -1906. List the prime factors of i.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*w - 7 = 0, -93156*o - 6 = -93157*o - 4*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172 + 172 - 24*p**2 - 4*p wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:53 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okhjkhjrccjj. What is prob of sequence hhrk?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.003113?\nAnswer: -0.009339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.12, -4, 0.4, 0.0388, -2\/39, 0.5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/27)\/((h*h*h**(-6)\/h*h*h*h)\/h)*(h\/(h**(-1\/3)\/h*h))**(-5\/9) assuming h is positive.\nAnswer: h**(59\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 1:16 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/3)*p))\/p**(-5))\/(p*p**(-13\/4))**(-2\/139) assuming p is positive.\nAnswer: p**(3587\/834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.091 + 0.319. Let o = v - 0.01. Which is the nearest to 2\/3? (a) 4 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 92220 = -4*k, 0 = 203*t - 202*t - 2*k - 23054. Is 80 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15*d - 20*d = -150, -5*d + 75 = n. What is the derivative of 58 - 10*r - 174 - n*r wrt r?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11938 times -1\nAnswer: 11938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 + 12*u - 1. Let x be d(10). Find p, given that -2*p**3 + 4*p + 7*p**3 + 6*p**x - p**3 + 1 + p**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1033 + 1049. What is the highest common factor of 128 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -484*d**2 - 2*d - 14*d + 15*d to the form z*d**2 + g*d + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -444811 - -2?\nAnswer: -444808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418*x + 320881 - 428649 = 0 for x.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n = 32*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 + 3*j**2 - 2*j**2 - 2*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let n be (-28)\/(-10) + j\/(-10). Solve -3*v + 0*v + n = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (3 - (-9 + 12)) + -20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 14*r**2 - 8*r - 91. What is o(13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404495886 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 3161.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178909 is divided by 13760?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -240, -4\/7, -0.1.\nAnswer: -240, -4\/7, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -w, 4*w + w + 30 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-30)\/(-45)*(-3)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9553334, 19106669, 28660004, 38213339, 47766674, 57320009?\nAnswer: 66873344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 4*g = -164, l - 3*g + 49 = 0. Let m = -35 - l. Let d(n) = -m*n + 2 - 2*n + 3*n + 9. Calculate d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58983 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-36 - -47)) + (-5 + 12 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332629746 divided by 64326.\nAnswer: 5171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00234 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3390, -3344, -3266, -3156, -3014?\nAnswer: -2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/(-96))\/((-160)\/64)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021012022 - -21210022?\nAnswer: 1112222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 6*a. Let q = 46 + -55. Let m be p(q). Suppose 5*d = 2*s + m, 2*d - 38 = 3*s - 14. Which is bigger: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*r. Calculate the least common multiple of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 10, -5*h - 1780 = -5*q. Calculate the remainder when 2472 is divided by q.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18*l**2 - 1. What is y(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 2*w**2 - 5*w + 5. Calculate the lowest common multiple of u(0) and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-2))\/((-3)\/6). Let o = a + 8. Let q(y) = y**2 + y - 1. Calculate q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-5))\/((16\/(-28))\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*d + 14, 4*f - 66*d = -65*d - 13. Is f bigger than 0.12491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26576 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 9, -2\/7 in increasing order.\nAnswer: -6\/11, -2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7343 = x - 14306, -2*x = 3*k - 43354. List the prime factors of x.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:41 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611 divided by -42899.\nAnswer: 611\/42899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 869996 or 0.016?\nAnswer: 869996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.87 + -3.53. Let v = j + -5.34. Let y = -3 - -15. Sort v, y, -1\/2.\nAnswer: v, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1720, -1727, -1746, -1783, -1844, -1935, -2062, -2231?\n\"Answer: -m**3 - 1719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:00 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 31*u**4\/2 - 73*u**3\/6 - 2*u - 2. Find the second derivative of d(x) wrt x.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = 2*y. Let v = -9 - -3. Let i be (v\/(-2))\/(21\/(-14)). What is the third smallest value in 3\/5, y, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.054 * -0.36\nAnswer: 0.01944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:36 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l)**(-27)*(l**6\/l)\/(l*l**(2\/15)*l)*l*l*l\/l**(1\/9)*l\/(l*(l*l**(-4\/3)*l)\/l)*(l**0)**35 assuming l is positive.\nAnswer: l**(-9017\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than or equal to 608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -157, -150, -143?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/k**(1\/2)*(k*k*k**9\/k*k)\/(k\/k**(-6)) assuming k is positive.\nAnswer: k**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2147*o**2 + 41*o**3 - 4271*o**2 + 2142*o**2)*(2*o**2 + 0*o**2 - o**2).\nAnswer: 41*o**5 + 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + z)*(2 + 4 - 4) - 2*z + z + 0*z + (3*z - z - z)*(-7 + 0 - 3) + 3 - 1 + 3*z - 5*z to g + p*z and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010010100011110 (base 2) in base 6?\nAnswer: 2151034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l. Let d be t(-4). Let c = d - 4. Suppose c*y = -y - 5. Let u(j) = j**2 + 6*j - 4. Determine u(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14064693.\nAnswer: 3, 19, 227, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -700 (base 16) to base 8\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -1220\/73?\nAnswer: -1220\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + -8 + 2 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -3 - 72\/40*1. Which is the third smallest value? (a) l (b) -1\/4 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 38 = -14. Let s = -1\/31 - -71\/279. Let g = -44.5 + 44. What is the biggest value in g, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.8 - 44.8203. Round q to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4461, 4460, 4461, 4464, 4469?\n\"Answer: b**2 - 4*b + 4464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a millennium in decades?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3792 + -3791. Let h = -3 + 3.1. Is h != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44991 is divided by 283.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21437 (base 8) in base 11?\nAnswer: -6834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.2. Let j = -8 + 7.7. Let a = 317 - 322. What is the nearest to -0.1 in z, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {b: 3, q: 4, e: 7}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*c - 14 = 3*b, -4*c + 4 = 2*b. Suppose -23 = 40*l + 177. Suppose 0 = y - 3*w + 5*w - 1, w = -5. Put -3, l, b, y in descending order.\nAnswer: y, -3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13232010203 (base 4) in base 5?\nAnswer: 1004224330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*q + 2 + 0 = 0, -2*u + 3*q = 4. Let l be (u\/(-4))\/((-2)\/(-8)). What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87755, -351013, -789777, -1404047, -2193823?\n\"Answer: -87753*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 6 + 2*a**2 - 5 - 1. Let d(s) = s. Let k be ((-16)\/8)\/((-2)\/(-6)). What is k*d(n) + v(n)?\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 978295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.01352171495 + -6433\nAnswer: -6432.98647828505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 13*j**2 + 13*j - 10. Let n be 790\/65 + (-4)\/26. Let z be h(n). Let -1\/4*d**4 + 1\/4*d**z + 0*d + 0*d**3 + 0 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*s + 0*s**4 + 1\/5*s**5 + 0 - 2\/5*s**3 + 0*s**2.\nAnswer: s*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/630 - (-2 + (5 - 300\/108)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29227 is divided by 434.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1048472394 to 5 dps.\nAnswer: 0.10485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0.02, -3\/5, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -b + 168, -5*b + 1056 = -9*n + 12*n. Calculate the remainder when 617 is divided by b.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 12 = 22*d. Suppose -20 = -8*i + d*i, -149 = -3*z + i. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12568 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(52))\/sqrt(4) - ((sqrt(325) - sqrt(13)) + -1))**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {h: 3, z: 1, j: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 4*a + b + 71, 4*a + 36 = 4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 0.07 (c) -7 (d) -0.7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52167 litres in millilitres?\nAnswer: 5521.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.43 and 3.6632?\nAnswer: 4.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9506 divided by -3?\nAnswer: 9506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 27. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*k + 159*k - 254*k + (-1 + 1 - 1)*(0*k - k - k).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9668516*-59.\nAnswer: -570442444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 642*v**2 - 3278*v + 28230. Calculate d(647).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2811*t**2 - 38*t + 31 wrt t?\nAnswer: -5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let j be w(-2). Let n = 1 + j. Suppose n = -4*x - 0*x. Solve x = 2*g + 3*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 711*j - 59815. Calculate u(76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -357, -678, -999, -1320?\n\"Answer: -321*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2513*d**2 - 7*d + 3 + 14*d - 2512*d**2. What is f(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65928 and 16072?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 9, w: 3}. Give prob of picking 1 w and 1 t.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-27)\/(-24))\/(15\/20). Suppose 3*a - 5 - 22 = -3*r, 2*a - 23 = -3*r. Suppose k*c = -r*m + 535, 3*m = -3*c - m + 539. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.983 - 10.983. What is the nearest to 0.5 in 0.3, g, -1, 0.093?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.41 - 17.48882. What is n rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97785210.\nAnswer: 2, 3, 5, 19, 171553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-33)*31\/372*18*1.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 415405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89855?\nAnswer: 5, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-95 + -2)*33\/55. Let w = 385 + l. Calculate the remainder when w is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/3 - t**2 + 4*t. Let d be 104\/(-18) - (-2)\/(-9). Is a(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from xwxawawwwwwawwaa.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711827?\nAnswer: 2711827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4) + sqrt(21))*4 + sqrt(21))\/(sqrt(12) + sqrt(24)\/sqrt(2)) + -5*(sqrt(7) + sqrt(567) + sqrt(7))**2 + ((sqrt(7) + 2 + sqrt(7))*-5)**2.\nAnswer: -3435 + 809*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.1 + -26. Let t = q + -3.1. Sort t, -4, 3 in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25 + 9 + 23*p - 17 + p**2. Suppose -x + u = 1, -2*x + 6 = 2*x - 2*u. What is the remainder when q(-23) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 5*i**4\/6 + 8*i**3\/3 - 4*i**2 + 4*i. Find h, given that d(h) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 114. Suppose 12*m + 827 = -y. Let w = 167 + m. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6*p - 63. Let r be p + 15 + 1*-4. Suppose 0 = s + r - 22. Solve 0*m - s = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2007\/20 or -32?\nAnswer: -2007\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720156 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(16\/3)*y*(y**(-11)*y)\/y*y*y assuming y is positive.\nAnswer: y**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 4 + 1)*(2 + 2 - 6) + 0 - 1 + 3)*(-2*w - 4*w + 5*w + (2 + 1 - 5)*(-3*w - 2*w + 3*w) - 3*w - 3*w + 5*w).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 15 = 0. Let o(a) = a**3 - 7*a**2 + 5*a + 6. Let l be o(6). Let f be (v + l)*650\/3. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 6*t + 0*t)*(-4*t**2 + 0*t**2 - 2*t**2)*(-4*t - 2*t + t) to z + b*t**4 + k*t**2 + h*t**3 + d*t and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 3*j**2 - 5*j + 6. Let o be q(4). Suppose g + 2 = -f - 3*f, -4*g + 10 = -o*f. Is (-2)\/((-4)\/294) - g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -26*c**2\/17 + 74*c\/17 - 48\/17 = 0?\nAnswer: 1, 24\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1496\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/263924793 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/128 and -77\/22028480.\nAnswer: 44056960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (1 + sqrt(38)\/sqrt(2))**2) + 3.\nAnswer: -17 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6087 - -6060. Which is the second smallest value? (a) -0.9 (b) 0.01 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + t = 51, 4*t - 251 = -5*l - 0*t. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 - 4 = 0. Suppose -w*m = -0*m - 10. Suppose r = -0*v + v + m, 2*r = -3*v - 15. Is 2\/15 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -31*b + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.9. Let u = -158 - -66. Let c = 95 + u. What is the closest to r in 5, c, 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:07 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -1.49. Let l = d - -1.6. Is l smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*j = 404*j + 550 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/46146 and 73\/76910.\nAnswer: 230730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636 and 16536.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -10. Suppose 15 = 2*b + m. Suppose -2*q - 648 = -38*q. What is the remainder when q is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 - 8*t**2 + 4*t. Let k(z) = -16*z**3 - 25*z**2 + 11*z. Calculate -4*k(h) + 11*o(h).\nAnswer: -2*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16873+-1345\nAnswer: -18218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 988759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36540149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 2 + 2.\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -1\/3 in increasing order.\nAnswer: -5, -1\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -22*w - 75. Calculate k(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 11. Let w = 143 + -140. Let y(o) = -o**2 + 2*o**2 - 15 + 10 + w + 5*o. What is y(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*k - 2*k. Let n be 8\/k + 266\/18. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.01529 * 7\nAnswer: -7.10703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/9))**(15\/8) assuming u is positive.\nAnswer: u**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2333 + -2232. What is the closest to -1 in -0.06, 3, d, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 3*r**2 - 9*r - 7. Determine i(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - ((-134)\/4 - 0). Let p = 33 - i. Suppose 2*x + 10*d + 115 = 5*d, p = 3*x - 2*d + 125. Is -44 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l + 4*h = -1952, 4*l + 4*h = 1984. Let j = l - 436. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943325 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + 2*r)*(-5*r + 5*r - 2*r + (1 + 1 - 3)*(r + 0*r + r)) - 1 + 1 + 9*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 16\/(-10). Suppose -x = -5*i + 12, i = -r*x - x + 28. Let d be 0 + (4 - 6\/3). Solve 5*m - x = d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + 5 + (-12 - -3) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41338 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 9. Let w be p(-6). Let t(k) = k + 2 + 5 + 3 + 12. Let d be t(-13). What is the highest common divisor of w and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 978944 and 4096.\nAnswer: 978944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -32, -54, -80, -110, -144, -182?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8797 + -228?\nAnswer: -8a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110001000110110001 (base 2) to base 11.\nAnswer: -1001919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2*v**4 + 0*v**3 + 0*v**3 + 6*v**4 - 2*v**2 - v**3 to the form u*v**4 + k*v**3 + i*v**2 + x*v + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 5 = 0. Let l = -8 - g. Let j = 6274 - 6274.7. Which is the third smallest value? (a) 3 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*z**2 - 2 - 5 + 5 to f + i*z + x*z**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 16 = 8. Suppose g - 1 = 2*k. Solve 4*t + 3 = -k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (4 + -1 - 7). Let p be (m\/(-5))\/(8\/20). Factor 3\/4*w**4 - 1\/2*w**p + 0 + 1\/4*w**3 + 0*w.\nAnswer: w**2*(w + 1)*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r*r\/(r*r*r**(-4\/9)\/r))**(1\/8) assuming r is positive.\nAnswer: r**(29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 3*p. Let a be ((-6)\/p)\/((-8)\/144). Calculate the common denominator of a\/(-72)*(-202)\/3 and -109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 101.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(340)\/sqrt(10)*4 - sqrt(34)))\/((sqrt(128) + sqrt(128)*-5 + sqrt(128))\/sqrt(4)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 79871*k + 399380 = 0.\nAnswer: -79876, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40256 is divided by 4025.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*c + 26 = 0, -68*q + 77*q - 32 = -2*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2514.382 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 10. Let n = z - -9.8. Let k = -0.2 - n. Sort 1\/5, 3, k in increasing order.\nAnswer: k, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.65175651 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkkkbkqkqkkkk. What is prob of picking 2 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.085 and 1.211.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -6412\/135 in decreasing order.\nAnswer: 3, 0.3, -6412\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -97742.6 and 236.\nAnswer: -97506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.297819 + -3.70217975. Let g = l + 15. Round g to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-1\/2)*n*n**(-1\/8)*(n**9\/n*n)\/n**(1\/16) assuming n is positive.\nAnswer: n**(197\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (18 - 11)) + 0 + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 27*o**5 - 19*o**5 + 3*o**4 + 45*o**5 - 2 + (-2*o + 1 - 1)*(-o**4 + 4*o - 4*o) + 3*o**2 + 5*o**5 - 3*o**2 - o**4 + o**4 - 2*o**5.\nAnswer: 4*o**5 + 3*o**4 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/3 - 8\/3. Let f be (4\/(-66))\/(-21 + 3680\/176). Solve -f*q**5 - y*q**2 + 0 + 2\/3*q**4 + 2\/3*q**3 + 0*q = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 436 - 13 + 86 - i to s + m*i and give s.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89647.73s?\nAnswer: 89647730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.7*0.03.\nAnswer: -0.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 2217?\nAnswer: 46557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32673133697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 379, 367, 349, 325, 295, 259?\n\"Answer: -3*t**2 - 3*t + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 + 2*s + 5. What is x(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/13 - 1132*b**3\/13 - 2258*b**2\/13 - 1128*b\/13.\nAnswer: -2*b*(b + 1)**2*(b + 564)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 27*g**3 + 21*g**2 + 135*g + 84.\nAnswer: 3*(g - 7)*(g - 4)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -30*d**3 + 8*d**2 - 3*d - 3. Let i(u) = 2*u**2 - u - 1. Determine -3*i(y) + z(y).\nAnswer: -30*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + 2*j**2)*(2*j - 2*j - 2*j**2)*(3 + 2*j - 3)*(42 + 55 + 17).\nAnswer: -912*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418992 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {h: 3, m: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339.652 less than 88.451?\nAnswer: -4251.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49015\/272649 - -2\/6991. What is the common denominator of (-325)\/(-30) + 0\/(-1) and p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 391?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43.241738 from -0.32.\nAnswer: -43.561738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:57 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-13)\/(-6)))\/((-63)\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*s = x + 30, 0 = 2*x - s - 9. Suppose x*d = -2*u + 15700, d + 4*u = 2912 + 2338. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6688552 millilitres in litres?\nAnswer: 0.0006688552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 847 (c) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 13}. What is prob of picking 3 w?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 + 65*o + 337. Calculate b(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/12 - 640*m**4\/3 - 655360*m**3\/3 - 2*m**2 + 14*m - 15. Factor g(k).\nAnswer: -5*(k + 512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*1\/(-2)*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3)\/((5 + 0)\/25). Solve 0 = -i*f + 10, 5*d - 2*f = -29 - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*t**3*u - 5*t**3 - 2*t**2 + 2*t*u**2 wrt u.\nAnswer: 109*t**3 + 4*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.54? (a) -646 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + p**3 - 3 + (-1 + 1 - p**2)*(-4*p + 3*p + 0*p) + (3*p - 3*p - p)*(6*p**2 - 11*p**2 + 6*p**2).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6844620 divided by 12?\nAnswer: 570385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 996, 2045, 3104, 4179, 5276, 6401, 7560?\nAnswer: 8759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11320*t**2 - 3 - 6*t + 4 + 11316*t**2 to a + c*t**2 + w*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/9 + 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-1)\/5)\/((-91)\/455)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-20851 + 3)\/(78\/117*-1*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2662, 2661, 2660?\n\"Answer: -j + 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = j - 12, -4*m + 31 = -4*j - 33. Suppose -3*g + m = p, -3*g = -2*g - 3. List the prime factors of p\/(-10)*(-3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:44 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - ((-4)\/1 - -6). Suppose -14 - 21 = -5*y + l, 0 = g*l + 10. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g + 59 - 4059478*g**2 + 7 + 4057132*g**2 wrt g.\nAnswer: -4692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 470. Let f(k) = k**2. Calculate u(f(r)).\nAnswer: -r**2 + 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (19 - 46) + -11?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418043 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m - 24 = 0. Let c be (-3)\/m + (-34)\/(-4). Suppose i = -4*y + 165, 0*i = -5*i + 25. Calculate the greatest common divisor of c and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 120743580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.9 - -3306.\nAnswer: 3287.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-135)\/(-33) - (-123 - -123)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2\/2 + 1236*g + 2475\/2 = 0?\nAnswer: -1, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 12*h - 139. Suppose -2*x = -h + 10. Suppose 4*b - 22 = -x*n + 39, -n = -b + 17. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199915 to the power of 1\/2, to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.3 - 7.94. Let t = 27 + f. Let n = 0.54 + t. Which is the third biggest value? (a) n (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30862 times -0.1?\nAnswer: 3086.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 58030*m**2 - 1506245*m + 9785100 = 0. Calculate m.\nAnswer: 13, 11580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose i*g - 42 = -7*g. Suppose 0 = -g*a + 162. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 833 - 834. Let f = -0.3 + 0.4. What is the third biggest value in f, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2 + (-7)\/(-14) + 13. Suppose 2*h - 7 = -2*n - 3, o = 2*h - 4*n. Solve -5*k = -3*q - 35, -h*q = q + k + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2343.48552 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**9\/3024 + x**5\/120 - x**3\/3 + 1. Let o(b) be the third derivative of i(b). Find the second derivative of o(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48572546?\nAnswer: 2, 11, 200713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -51.8. What is the second smallest value in -5, o, 4, 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133703, -534600, -1202767, -2138210, -3340935, -4810948, -6548255, -8552862?\nAnswer: -10824775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -371, -27, 5, 3, 0, 85, -2.\nAnswer: -371, -27, -2, 0, 3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (-4 + -2) - 1. Put 3, j, 5, -1 in descending order.\nAnswer: j, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -7 + w**2 + 7\/6*w**3 + 12*w + 1\/12*w**4. Suppose -13 + 1 = 2*g. Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -25004*a - 38. Let y be m(-9). Let g be 10\/6 + -2 - y\/6. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6095 or 6093?\nAnswer: 6095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 2. Let y be l(2). Suppose -8*t + 3*t + 21540 = y. Is (1 + 2\/4)*t\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**5 - 36*z**6 - 16 + 3*z**2 + 7*z**5 - 13*z**5 + 13*z**3 - 14*z**3 wrt z?\nAnswer: -4320*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12386 by 66.\nAnswer: -563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942785 is divided by 882.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 1:54 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -1\/7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 334.5665951246\nAnswer: 334.1665951246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40887 - 41046.9965. Let k = 160 + f. What is k rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/448)\/(1\/1238). Let m = t + -12\/7. Let d = -88245\/14 + 6306. What is the common denominator of d and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/4) + 2\/3. Suppose j*h - 5*r = 516 + 294, 4*h + r = 1598. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 5)*48\/99 - 14\/(-14). Which is the closest to 0.1? (a) d (b) 1\/9 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-18) - 8\/72. Suppose -c*x + 0 = 3*y + 6, 4*x = 2*y + 20. Let d be (3 + y - -3)*-5. Which is greater: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*p**3 + 15*p**2 + 2*p - 310 wrt p.\nAnswer: 126*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 171843448*i + 1845635663783044.\nAnswer: 4*(i - 21480431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ab7 (base 16) to base 4.\nAnswer: 11222313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*h + 9*h - 12, 4*r - h = -24. Let o be 2\/(-3) - (-8)\/r. Let n = o - -3. Is n != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*u = 470*u + 1195470. Round u to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 14*g + 5*r + 5448, 0 = -4*g - 2*r + 10992. What is the lowest common multiple of 18 and g?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114606, -114819, -115174, -115671?\nAnswer: -116310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcchksl. Give prob of sequence lchc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 16*m - 12. Let z be r(-12). Suppose 0 = 41*f - 47*f - z. Which is smaller: f or -77?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25296)\/992*2\/(-34)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 7e?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1445 * 18.\nAnswer: -26010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18)\/4)\/((-10)\/180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*q + 2383*q + 96*q.\nAnswer: 3082*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045898251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 137, 4, 3.\nAnswer: -18, 1, 3, 4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 7*z**2 + 6*z - 1. What is k(-6)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 3*d - 6, -2*f - 4 = -2*d. Let w be 0*(-3 - (-33)\/12). Suppose -5*z + 4 + 1 = w. Solve -f = y + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(66)*2)\/(sqrt(300)*-2))\/((sqrt(66)\/sqrt(6) - sqrt(11))*5 - sqrt(11) - sqrt(176)*-5).\nAnswer: 3*sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z + 58. Suppose -z = -4*w + 82. Suppose 0*c + 5*c = w. Which is greater: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f3e2 (base 16) to base 13.\nAnswer: 22558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.9656 + 57. What is l rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 2376.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -15) + (40 - 57).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*k**2 - 60*k.\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*y - 99 - 26*y + 99 to the form f*y + t and give f.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 4. Suppose 0 = -t - 5*l + 2, -4*t = -3*l - 0 - 8. Suppose t*x - f = x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)\/(q*q\/q**(-8)*q)*(q*q\/((q\/q**0)\/q))**(-43) assuming q is positive.\nAnswer: q**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 7}. Give prob of sequence aaj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/17)\/a**(8\/7)*a*a*a\/a**(2\/17)*a**(-2\/69) assuming a is positive.\nAnswer: a**(13079\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87315324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014287088 rounded to seven decimal places?\nAnswer: -0.0001429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*d + 172, j + 454 = 4*d + 74. Suppose 22*b - d = -26*b. Factor -1\/11*f**4 - 2\/11*f + 0 + 2\/11*f**3 + 1\/11*f**b.\nAnswer: -f*(f - 2)*(f - 1)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 161785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + 0*s**2 + s**2 + (-5*s + 4*s - s)*(-3*s - 4*s + 6*s) + 3 - 3 - s**2 - 2*s**2 + s**2 + 5*s**2 as b*s + d*s**2 + u and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 35609. Let s be c(0). Suppose -5*u + 4*r = -44512, 9*u - 5*u = 3*r + s. What is u rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l + 0*l**4 - 36 + 17\/5*l**5 + 0*l**3 - 71\/2*l**2. Find the second derivative of s(z) wrt z.\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361536, 1446015, 3253478, 5783925?\nAnswer: 9037356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -946 (base 10) to base 6\nAnswer: -4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 6, 2, -2, -6?\n\"Answer: -4*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 - 3*j + 1. Let z be h(1). Suppose -z*b + 9 - 1 = -2*u, 4*u + b - 6 = 0. Sort 3\/4, u, 1\/4, -1 in descending order.\nAnswer: u, 3\/4, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*r - 211*r + 743*r - 126*r - 205*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 823 (b) 2\/17171 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237071 + 236783.841. Let z = w - -287. What is z rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-9872))\/(3\/4). Let v = c + 93479\/12957. Find the common denominator of -29\/6 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20297 and 6.\nAnswer: 121782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Suppose -5*f = x - 14, 4*x - 3*f = -4*f - 1. Let p = a + x. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 66*u**2 + 0 + 0.\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 214201 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7990916*h**3 - 12*h**2 + 19072*h + 27.\nAnswer: 47945496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11336 + -4569. List the prime factors of p.\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z**3 + 42*z**3 + 5*z + 13*z + 6*z.\nAnswer: -z**3 + 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3))\/(r\/(r\/(r*r**2)*r)*r))\/(r**(1\/2))**(-40) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 divided by 80?\nAnswer: 184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/7)\/(1034\/25333))\/((-4)\/(-8)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19695\/29 + 679. Let h(a) = -a**3 + 10*a**2 - 21*a - 1. Let y be h(7). Is d < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - 0) + (-1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2459468068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -129354 minus 64.1344?\nAnswer: -129418.1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by -4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*q + 25 = 2*o, -2*q + 10 = -o. Suppose n + o*n - 5*p - 25 = 0, -4*n + p + 24 = 0. Let b be -3*(-2)\/(-1*2). Put n, b, -5 in decreasing order.\nAnswer: n, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 9. Let o(i) = 2*i + 19. Calculate -6*o(w) - 13*u(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m + 125. Let j(r) = 5*r - 2. Calculate -g(a) - 2*j(a).\nAnswer: a - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 567 - 1258 + 24*y + 691. Let z(d) = 149*d**2. What is z(w(x))?\nAnswer: 85824*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 15 = 2*y - 7*p, 12 = -2*y - 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 368462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2\/7, -1, 2, 6.84.\nAnswer: -24, -1, -2\/7, 2, 6.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*v - 88*v - 2 = -4*h, h = 7*v - 58 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 15801*t**4\/4 - 10729*t**3\/3 - 11476. Find the third derivative of s(x) wrt x.\nAnswer: 94806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11175? (a) -1 (b) 2\/19 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -47*j - 17. Let m(p) be the first derivative of -23*p**2\/2 - 8*p - 2. Let d(c) = -13*m(c) + 6*x(c). Is d(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783827 is divided by 15369.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 3*o**2 - 3*o**2 + 0*o**2. Let l = -1 - -4. Let g(q) = 0*q**2 + 0*q**2 - l*q**2 + 0*q**2. Determine g(i(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054432179 to the power of 1\/2, to the nearest integer?\nAnswer: 32472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 3670*v**2 + 7322*v**2 - 3661*v**2.\nAnswer: -9*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -43. Let f = d + -16. What is the second biggest value in 0.3, f, 1\/12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 12*r + 22. Let q be k(16). Let s = -38 - q. What is the least common multiple of 20 and 76\/8 - (-2)\/s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o. Let h(r) = -31*r. Let m(q) = 2*h(q) - 11*u(q). Let s(n) = n**2. What is s(m(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/8 - 51*z**3\/8 + 81*z**2\/4 = 0. Calculate z.\nAnswer: -54, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Let v(o) be the third derivative of -o**5\/120 + 7*o**3\/6 - 13*o**2. Let d(w) be the first derivative of v(w). Calculate d(l(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 1755\/(-345) + 5 + 6122\/46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-11)\/((-88)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112123111 - 1?\nAnswer: 112123110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 37. Let n be (-27)\/(-35) - 2*j\/70. Let x be 0 + ((-6)\/(-8))\/(-3). Put x, 2\/21, n in ascending order.\nAnswer: x, 2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 522 = 156. Let b(i) = i**3 + 2*i - 15*i**2 + 4*i + q - 712. Let l be b(15). What is the greatest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvkvkvvkkvv?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 + 2*p - 2. Let c(f) = f**2 + 7*f - 2. Let z be c(-6). Let u = z + 9. Suppose u = t + 3. What is h(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/8 - 2*b**3\/3 - 4*b**2 - 32. Let h(k) be the second derivative of s(k). Calculate h(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/15 + -4 - 14\/70. Factor 0 - 2\/7*o**4 + 2\/7*o**3 + y*o + 4\/7*o**2.\nAnswer: -2*o**2*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-107\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 8. Let f(a) = a**3 + 2*a**2 - a + 1. Let g be f(-3). Let k be x(g). Solve -6 = -5*u - 4*o, k*u + 18 = 3*u + 5*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efkkkekekfkke. What is prob of picking 2 e and 1 k?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101 (base 3) in base 4?\nAnswer: 23203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**2 - 3*k + 6. Calculate u(3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*i + 24 = 0, -4*i - 6 = -2*i. Suppose 5*o - 71 = 9*y + 6, 5*y = h*o - 65. Suppose 5*v - 42 = 8. What is the greatest common factor of o and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123999 - 123935.809. Let p = d - -1.519. Let n = 65 - p. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 * 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -933*w**6 - 2*w**4 + 25448*w**3 - 35843713*w**2 wrt w.\nAnswer: -111960*w**3 - 48*w + 152688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/5)\/(4 + (-84)\/20). Suppose 2*u + 10 = 0, -c*u + 2 - 22 = 4*p. Let b be 9 + (-1 - p) + 2. Calculate the highest common divisor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4758 + -4729. Solve 5*f + 24*m + 10 = v*m, 4*f - m + 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519951143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 15*a = -110110. Let u = a - 2606. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 3, o: 4, c: 2, a: 4, f: 3}. Give prob of picking 1 h and 2 a.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + i = -107 + 523, 0 = 5*b - 4*i - 2116. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 9110 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from aabbcabc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/30 - 2\/3*-61. Let q = 6 + -2. What is the highest common factor of q and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69594 by 23198.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*l**3 + 197255*l + 28827747 wrt l.\nAnswer: -18*l**2 + 197255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 3*c. Let f(p) = -63*p**2 + 49*p. Let d(y) = 3*f(y) - 49*m(y). Let o(u) = 0 + 10*u - 12*u + 0. What is d(o(t))?\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36768, 36798, 36828, 36858?\nAnswer: 36888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (0 - -6)*(-5)\/(-10). Suppose 5*b = 25, 5*g - b = o*g + 973. List the prime factors of g.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*z + 1487*z = 4743 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.533 + -3.533. Sort 0.1, 0, b, 20 in descending order.\nAnswer: 20, b, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:53 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w**2 - 23*w**2 - 13*w**2.\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 4. Let s be 3 - (k + 1 + 0). Let a(p) = -p**2 + 4*p + 2. Let c be a(s). Solve -11 = 3*f - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 2*a + 2. Let y be (-14)\/2*900\/42. Let h = 143 + y. Let u(m) = 8*m**2 + 7*m - 7. Calculate h*b(j) - 2*u(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.84666g to kilograms.\nAnswer: 0.03884666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60565, 121133, 181699, 242263, 302825, 363385, 423943?\n\"Answer: -v**2 + 60571*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01210591 rounded to 4 dps?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8837 - -8117. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 - 4. Let j be r(3). Suppose -j = 4*m + m. Let p = m + 15. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 8. Let s(g) = 2*g**2 + 7*g - 1. Calculate the remainder when w(-7) is divided by s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - v + 5*v - v - 3*v + (2*v + 1 - 1)*(0 + 0 + 1) + 219 - 219 - 72*v)*(0 + 4 - 10) to l*v + y and give l.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (0 - 1))\/1. Suppose r = 4*q - 13 - 3. Suppose 2*s - 3*t - 38 = -3*s, -q*t = -3*s + 14. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -664 - -674. Suppose 14*r - 2*w = j*r + 6, -3*r + 2*w = -4. Let h(y) = 3*y**2 - 2*y. Let s(a) = -a**2 + a. Calculate r*s(i) + h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057 * 4.\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b*(b**(-20)*b)\/b)*b)))**28*(b\/((b\/b**(-1\/7))\/b*b)*b*b)\/b**27 assuming b is positive.\nAnswer: b**(3744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/45)\/(-2*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 + 56*a - 56. Let z be i(1). Suppose 0 = 4*j - 4, 7 = -4*g - 3*j - 2. Let s be -2 + z\/g + (-8)\/6. Which is smaller: 11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o**2. Let x(u) = -3*u + 8. Let i(s) = 2*s - 5. Let q(j) = -8*i(j) - 5*x(j). Calculate n(q(h)).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let r = 0.17 - 1.07. Let p = -0.7 - r. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 6\/(-15). Suppose 8*j - 10*j + 4 = a. Is 2 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-273)\/126. Suppose 0*f + 0*f**3 + 0 - 5\/3*f**2 + s*f**4 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) + 1\/(-8). Let v = 0.5 - 0.2. Let f = 25 + -24. Which is the nearest to f? (a) v (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/84 and -7\/22.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*h + 301 = 6309 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*n + 14 - 148 = 4. Which is the smallest value? (a) 0.67 (b) -1 (c) 3 (d) n (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g**2 + g + 1. What is z(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 + 9*s**2 + 2 + 15*s**2 + 7*s**2 + 5210*s**3.\nAnswer: 5210*s**3 + 22*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**4 + 17*y**4 - 40*y**4 + (1 - 2*y**2 - 1)*(-38*y + 38*y - 27*y**2) to the form h*y**2 + v*y + i + n*y**4 + c*y**3 and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.43, -0.73, -4\/9?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168*2.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73216 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, -1336, 3, -1\/5, 115?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - x + 61 = 0, -11 = -v + 4*x. What is the remainder when 57 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 2, s: 2}. Give prob of picking 1 s and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23 - 16*f**3 + 41*f**2 - 5*f**2 - 23 wrt f?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 - 1613200*u + 23*u**2 + 1613155*u.\nAnswer: u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1152595 - a?\nAnswer: -11525a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 56*s + 1395. Let z be y(-25). Let q(u) = -3*u**2 - 26 - u**3 - 5 - 9*u + 8. What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 321944524 and 3817524.\nAnswer: 965833572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 + 12*p**2 - 9*p - 5. Let n(l) = 5*l**3 + 8*l**2 - 6*l - 4. Calculate 7*n(d) - 5*y(d).\nAnswer: -5*d**3 - 4*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 52*j - 299. Calculate z(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-1) - (0 + -112).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*425\/1530.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -25.7. Which is the nearest to 2\/3? (a) i (b) 3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - x**2)*(907*x**2 - 1207*x**2 - 464*x**2).\nAnswer: 764*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k**(-4\/3)*((k**6*k)\/k)\/k**5)\/((k**0)**(-13)*k**(-1)*(k*k\/((((k*k**(-1\/6)*k)\/k)\/k)\/k*k))\/k*k) assuming k is positive.\nAnswer: sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/5 - 4152*a**2\/5 + 1172613*a + 8114890914\/5 = 0. What is a?\nAnswer: -1391, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 8:28 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g. Let p(v) = -4*v + g*v + 4 + v + v**3 - v**2 - 3*v**2. Calculate p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-6))\/(2\/(-6)). Let b be (2\/(-3))\/(g\/(-60)). Let o(l) be the third derivative of l**6\/120 - l**5\/10 + 7*l**4\/24 - 5*l**3\/6 + l**2. Give o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dinf when four letters picked without replacement from dbifbdnjdddbfnjndd.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112312200 - 11?\nAnswer: -2112312211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 6004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -1.798, -1, -0.5, 25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, 1 t, and 1 m when four letters picked without replacement from {t: 1, n: 3, b: 3, m: 1, e: 2, j: 3}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 68. Solve p + s = 0, 5*p + 5 = -0*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50219)\/(-34767)*28\/26.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -530 - -612. What is the remainder when x is divided by 74?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*z + 1515*z = -386*z + 71370 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:29 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzpzzp. Give prob of picking 2 z and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*d**3*j - 2*d**2*j - 5*d**2*o**3 - 9*d*o**3 + 19*d*o - 3*j*o**3 - 2*j wrt d?\nAnswer: -210*d*j - 4*j - 10*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 14, 1, -12?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*a - 5 + 5)*(4*a - 3*a + a) + (2*a + a + 0*a)*(-1 - a + 1).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -3553638507822?\nAnswer: 3553638507821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4451?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrcpcppmcmmmplmmcl. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 12*l**2 + 10*l + 5. Let s be t(11). Let f(j) = j**3 + 7*j**2 + 4*j - 4. What is the units digit of f(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*o**3 + 106*o**3 - 6*o + 6*o + 0*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/105 + u**6\/10 + 3*u**5\/10 + u**4\/3 + 2*u**2 + 36*u. Factor p(y).\nAnswer: 2*y*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*l + 2*x, 14*l + 19 = 9*l + 7*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:36 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -17 - 25 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112078 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: Let x be 39\/((-24)\/(-20 - -12)). Let h(o) = o**2 - 9*o - 21. Calculate h(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 25138*o**2 - 8*o + 5112*o**2.\nAnswer: 30250*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9253*a + 4630*a + 4631*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10737)\/(-27)*27\/3 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 640, -807.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(-3\/5)*v)\/v)\/(v*v**5) assuming v is positive.\nAnswer: v**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*x + 39 = 194*x - 3*h, -x - h = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 90*i - 1. Suppose 3*u = t + 5, u = -4*t + 6*u - 13. Let c(q) = -271*q + 3. Let d(w) = t*c(w) - 7*b(w). Is d(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t = -123*t + 1. Suppose 2*k = -3*s + 12, -k + t + 7 = 2*s. Put 8, 13, k, 1 in increasing order.\nAnswer: k, 1, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 24 + 1 - 20 - 21)*(-66*w - 53*w - 28*w).\nAnswer: 7938*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206 - -16) + -414 + 528?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(208)*3)**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/4)\/((-2)\/16). Suppose 2*p - w = -0*p. Let z = -23 + p. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23800, -46202, -68604, -91006?\n\"Answer: -22402*t - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -15, 89, 219, 369, 533, 705?\n\"Answer: -a**3 + 22*a**2 + 13*a - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 divided by 44?\nAnswer: 705\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/58*4\/2)\/(4\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbr when three letters picked without replacement from {z: 3, r: 4, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.7755 decades to centuries.\nAnswer: 17.77755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j - 45. Suppose -j = -m - v, -2*v = v - 12. Let z = -9 + 15. Calculate the remainder when m is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t - 4. Let k be l(6). Let q = 1249\/18 - k. Find the common denominator of q and -133\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*w + 1122, 43*w + 2*f - 558 = 45*w. Let n = w - -349. Calculate the greatest common factor of 340 and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - 19\/((-342)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501490 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) - (-4 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 915 + -916. What is the biggest value in 2.2, 0, s, 2\/9?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 0.9. Let x = -0.5 + -0.3. Let z = 0.3 + x. What is the biggest value in i, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15*r + 1070. Let u = r + -99. Suppose 40 = 2*h + u*h. Solve -v + 0 = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25279033 rounded to the nearest 100000?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 4*w = 2*c - 60, -6*w = 6*w - 12*w + 4*w + 48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1270 (base 8) to base 15\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 17, 33.4 in descending order.\nAnswer: 33.4, 17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let y be (4 + 6 + -13)*(1 - 0). What is the second smallest value in y, c, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167753242 is divided by 33550647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssrmmrmsmmm. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o - 1. Let r be 3\/(-2 + 4 + o). Let j be 1 - 0 - (2 + -7). Solve -r*y + j*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/93)\/(20\/90)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587865.\nAnswer: 5, 227, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/2 - -1. Let h(t) = 87*t - 316. Let j be h(4). Let p be j*(o + (-10)\/4). Is p not equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807412 by -254.\nAnswer: 403706\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/7 - 20\/35. Suppose -5*u + 2*u = -5*r + h, 2*r + u = 2. What is the third derivative of k**3 - r*k**2 + 2*k**3 + k**3 - 11*k**2 wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*x - 36, 0 = -3*t + t - 5*x + 48. Calculate the lowest common multiple of (180\/(-35))\/(-6)*t and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - 12*q - 441. Let g(c) = 18*c**2 - 28*c - 883. Determine -3*g(t) + 7*p(t).\nAnswer: 2*t**2 - 438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210460 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n)**(-9\/2)\/((n\/(n*((n**(-1\/3)\/n)\/n*n)\/n))\/(n*((n*n**7)\/n)\/n*n)))**(-33) assuming n is positive.\nAnswer: n**407","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (-6*sqrt(102)*2 - sqrt(102)) - sqrt(102))\/(-3*sqrt(6)*1) + -5.\nAnswer: -13*sqrt(17)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 4946583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 10*a**2 - 8*a + 6. Let t be m(-7). Let y = t - -85. Suppose y = -4*x + 13 + 27. Solve 4*g - 2 = -4*f + g, g + x = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/4, -8\/19, -0.1, 2?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 - 2*n - 2. Let x be t(-3). Solve l + x = -2*w + 3*w, -7 = -w + 4*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/2 + 28*s**2 - 109*s - 94. Let x(u) be the first derivative of j(u). Let b(f) = 2*f**2. Determine x(b(l)).\nAnswer: -6*l**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3097 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 9*w**2 - 3*w - 13. Give l(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 1) + (-4 + 3)*0. Sort 2, a, -12 in increasing order.\nAnswer: -12, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236340073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 y, and 1 f when four letters picked without replacement from fnyynfyyyff.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 212.\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -307, -632, -969, -1318, -1679, -2052?\n\"Answer: -6*p**2 - 307*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21192800 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/7 and 1378\/420 - 22\/(-77).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52149906.\nAnswer: 2, 3, 89, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 25. Suppose 4*r = 2*d - 7*d - 13, -3*r = -3*d + 30. Let n be g(r). Suppose -5*i + 4 + 26 = 0. Solve i*s = n*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 87 = -37*o + 177 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9303928 to the nearest integer?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6167 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0683 and -0.037898?\nAnswer: -0.0025884334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*d - 2)*(4 + 1 - 2) + (-2*d + 9*d - d)*(2 + 1 + 0).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8762 + 8761.3443. Let l = 0.5 + 0.16. Let j = a + l. What is j rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**26*y*y**(-37))\/(y*y**(-4\/5)*y*y\/y**(-25\/4)) assuming y is positive.\nAnswer: y**(-369\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*-1*1 - (-20)\/((-240)\/(-81)). Is 4.2 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Suppose 5*f + p = 67. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180791 - -0.3?\nAnswer: -180790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 6 + 18*v - 12*v. Let u be i(-6). Let y = -29 - u. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52725 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1324826 = 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhc when three letters picked without replacement from {h: 2, i: 1, c: 1, k: 2, l: 3, a: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9889?\nAnswer: 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6943, -6356, -5773, -5194, -4619, -4048?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 93.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48569217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-285)\/(-7695)*(4 - 1 - 6). Let i = -1.4 + -0.6. Suppose -2 = f - 0. Which is the nearest to f? (a) i (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 - 2 - 2*o - 2*o + 7*o. Let g be p(3). Solve 0 = g*t - 16, -t - 25 = -3*q - 5*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1\/7 (b) -26 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/27, 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 2*z**2. Let b(w) = 11*w + 100. Let v be b(-9). Let q be u(v). Which is smaller: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**3 - 9*j**2 + 14*j + 1 - 3*j - j - 5*j**3. Let q be t(-10). Let s(w) = q - 6*w - 2 - w**2 + 10. Give s(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 20. Let w be d(-9). Suppose x - 2*b + 6 = 0, w*x + 2*x + 4*b = 24. Let o = -18 - -21. What is the remainder when o is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7689938 - -3?\nAnswer: 768993b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280736\/(-30349) + 12852\/1386?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*f + 3*f + 45*f)*(-22*f - 42*f - 22*f) + f**2 - 4*f**2 + 2*f**2 in the form s*f**2 + u + i*f and give s.\nAnswer: -7741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*-9*(-6)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 + (16 - 0) - 2\/2. Let s(p) = -p**2 + 2*p + 9. Give s(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.48945us in nanoseconds?\nAnswer: 2489.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 47314825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6815\/(-2350) + 6\/(-10))*(-16)\/98. Sort -22.8, 0.5, -2, k in decreasing order.\nAnswer: k, 0.5, -2, -22.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/10 + 5*w**4\/2 - 5*w**3\/6 - 6*w**2 - 3*w + 44. What is the tens digit of y(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*f + 4110 + 17*f**2 - 4110)*(-f + 0*f - f) to the form s + q*f**3 + l*f + c*f**2 and give c.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4619 = 5*p + 3*w, -3*p + 3*w + 3665 = 884. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747 and 4356006?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, w: 4, m: 2, i: 1}. What is prob of picking 1 w and 1 m?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(46\/(-322) - 730\/(-210)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93246500 to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66734889 to the power of 1\/2, to the nearest integer?\nAnswer: 8169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 960 divided by -8?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:39 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212*1.472.\nAnswer: -1784.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4 + 34\/(-8)). Suppose -5*d + v*d + 185 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/6 + 3*r**2\/2 + r. Let j(y) = 2*y - 4. Give -2*j(z) - 3*l(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*9\/(-6). Let i be 49\/(-21)*l\/(-7). What is the smallest value in i, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65182.84 centuries?\nAnswer: 6518.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 313 - 49. Let n(i) = 6*i**2 - 2*i**2 + 2*i**2 - 7*i**2 - y - 10*i. Calculate n(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*j + 81*j + 18*j**4 - 161*j + 8*j**4 wrt j.\nAnswer: 312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2489*d - 2490*d - 3*d**3 - 5*d**4 + 4978*d - 6*d**3 - 2*d**3 to the form f*d**4 + k*d + x*d**3 + a + r*d**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1312*t**2 + 3*t + 29. Let y(g) = 3927*g**2 - 9*g - 87. Let u(k) = 7*f(k) + 2*y(k). What is the second derivative of u(c) wrt c?\nAnswer: -2660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 4*x**2 - 14*x + 145. Give t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1383 + 1383 + 18*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 0, r - 2*v + 8 = 6*r. Suppose r = -3*t + 4*u - 14, -2*t + 3*u = u + 6. Solve -2*n + 3 = -a - n, -t*a = 4*n - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 625591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.585 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 47323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + 2*w - 3*w + (0 - 1 - 2)*(-w - w + 0*w) + w - 2 + 2.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y**5 + 0*y**3 - 1\/4*y**6 + 3\/4*y**4 + 0 + 0*y + 22*y**2. What is the second derivative of r(a) wrt a?\nAnswer: -180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(1\/7)*t))\/t*t)\/t*t**(-2\/21))\/((t*(t\/(t\/(t**(1\/8)\/t)))\/t)\/(t*t**(-1))) assuming t is positive.\nAnswer: t**(-181\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from qpfrrrrfqfrqqqprn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 29*a + 15. Let q(m) = 57*m + 36. What is -9*b(p) + 4*q(p)?\nAnswer: -33*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 154 - 133. Let k be (12\/22)\/(n\/(-22)). Which is the second smallest value? (a) -3\/5 (b) -3 (c) -2\/9 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 + q - 2. Let g be r(-5). Let n be (-2)\/g - (-54)\/7. Suppose -8 - n = -4*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = -17*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.233323 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*x**2 - 45*x**2 - 7*x**2)*(10*x + 7*x + x) to o + n*x**2 + m*x**3 + j*x and give m.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211220 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/(l*(l\/((l*l*l**(-4\/5)*l*l)\/l))\/l))\/l)\/l))\/l)\/(l\/l**(1\/4)) assuming l is positive.\nAnswer: l**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 143173\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -1)\/(-3) - 1. Let o(g) = 2*g**c + 0*g**2 + 0*g + 0*g. Let j(p) = -5*p**2. Determine j(o(u)).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13212 (base 6) to base 8\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398093, 1592363, 3582821, 6369473, 9952325, 14331383?\nAnswer: 19506653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 23*u**2 + 30*u + 207. What is the remainder when (-107 - -2)*(-1 - 0) is divided by r(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/7 + 570*p**4\/7 + 17291*p**3\/7 + 47868*p**2\/7 + 31148*p\/7 = 0. What is p?\nAnswer: -26, -2, -1, 0, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 1)\/(-5) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 385278720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pilre. What is prob of sequence lr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbn when three letters picked without replacement from {k: 3, n: 4, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -68972.81 rounded to the nearest ten?\nAnswer: -68970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221.\nAnswer: 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997845640 to the power of 1\/3, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 557476600 to the nearest one hundred thousand.\nAnswer: 557500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3\/7 + 69948*f**2\/7 - 10058936*f\/7 + 9988992\/7 = 0. What is f?\nAnswer: 1, 144, 17342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*h**2*u + 109*h**2 - 13*h + 11143*u + 1346 wrt h.\nAnswer: 50*h*u + 218*h - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 9 = -6*q - 2*s, 13*q + s + 170 - 125 = 3*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y + 6*y**3 + 4*y**3 - 4*y - 2*y wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**3*x**3 - 50*g**3 - g**2*x**2 - 2*g*x**3 - 197*x**3 wrt g?\nAnswer: 42*x**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 20?\nAnswer: 31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 49*i - 28. Let m be s(-23). Find the first derivative of 5 + 5 + 1 + m*v wrt v.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -277, -259, -239, -217, -193, -167?\n\"Answer: u**2 + 15*u - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-12 - (-2 + 14 + -23)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 16*t + 12. Let u(d) = 3*d + 9. Let c(v) = -4*v - 13. Let o(f) = 5*c(f) + 7*u(f). Let p be o(-6). Does 18 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/15269203?\nAnswer: 2\/15269203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (7 + -8 + -4 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Suppose 3*r - h = 2*h + 27, u*r + 5*h = -17. Solve 4*l - 4 = -r*x, 0 = 4*x - 0*x + 3*l - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, k: 1, v: 3, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 - 3*w**5 - 2*w**5 + (-w**4 + 3*w**4 - 3*w**4)*(-w + 0 + 0).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.016017536.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204699463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/37 and 48\/2609.\nAnswer: 96533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 4)*(2 - 2*v - 2) - v + 3*v - 3*v)*(-11 + 40 + 3).\nAnswer: 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -4*v - 20, -23 = 3*v - 4*t. Let o = v - -1. Solve l + 0*l + n = 0, o = -3*l - 2*n - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (2 + 1 + sqrt(80)) - sqrt(80)) + -3 + (sqrt(80) + (sqrt(80) - (-3 + (1 + sqrt(80) - sqrt(80)))))*2)**2 + 5.\nAnswer: -48*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.105?\nAnswer: 0.00945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let f be (-3)\/(-3)*6 + 4. Suppose 648 = -f*p - 8*p. Let u(y) = 3 + 38*y - 3. Calculate p*t(i) - 2*u(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*(y*y*y**(1\/4))\/y)*y*y*y\/y**3)\/((y\/y**(1\/4))\/y**(7\/2)))**(-1\/29))**(-8\/3) assuming y is positive.\nAnswer: y**(20\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3925.278 minutes in nanoseconds?\nAnswer: 235516680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -151, -345, -625, -997, -1467?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11488 <= -11489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*q + 13*q - 115*q + 2084688. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (-5*-1*sqrt(65) - sqrt(65)) - (sqrt(65)*3*1 - sqrt(65)))\/(2*-4*sqrt(45)*-2).\nAnswer: -5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 6*z - 2*z - 4*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**4 - 2*o**2 + 3*o + 2. Let j(d) = 21*d**4 - 7*d**2 + 8*d + 7. Let p(x) = 7*b(x) - 2*j(x). Find the second derivative of p(t) wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31558408 (base 9) in base 10?\nAnswer: 15214562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 4. Let p be l(0). Suppose -2*c + 7 = -5*m - 3*c, -2*c = 5*m + p. Put -10, -5, m in ascending order.\nAnswer: -10, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -101. What is the remainder when f is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, 2, -2, 620 in decreasing order.\nAnswer: 620, 4, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*z = 14, -4*z + z = -3*o - 3. Suppose -3*y + o*h = y - 160, 0 = -2*h + 8. Let d = -8903 + 8915. Calculate the remainder when y is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**21)**23\/((b*b**(2\/3))**(-2\/21)\/(b**(1\/2))**(-10)) assuming b is positive.\nAnswer: b**(-61163\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -16. Solve 3*c = -l*m - 5, -3*m = 2*m - c - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 + n + 5. Let v be d(-7). Let o = v - -2. Let a be (-1)\/(o - -1)*1. Are 2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17760969 is divided by 420.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 24 = -0. Suppose -u*q = 3*p - 11, 5*q - 6*q = p - 3. Sort q, 15, -1 in ascending order.\nAnswer: -1, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73574140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/112 + -341\/1456. What is the third biggest value in 4, s, 0.045?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 20*v**2 - 23*v - 1. Calculate q(-19).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 0 + 0 + p + 0*p + p + (-1 - 4 + 3)*(-p + 0*p + 0*p) + p - 3*p - 11*p + (-2 + 2 + 1)*(-1 + 2*p + 1) as t + s*p and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Let a be 5\/(-2)*g - 3. Let r(n) = n**2 + 10*n + 11. What is r(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.69 + 5.261. Round v to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54\/11? (a) 0 (b) -0.1 (c) -12 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715383650 to the power of 1\/3, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12954 = 2925*o - 2544*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:31 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 72. What are the prime factors of a?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100400 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 7520?\nAnswer: 7514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m**2 + 52*m - 282. Determine b(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54739*u**2 - 109471*u**2 + 54732*u**2 + 7*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsys when four letters picked without replacement from srryysysyrysrsy.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 900977, 900999, 901035, 901085?\n\"Answer: 7*w**2 + w + 900969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -0.172 (c) 18\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 33*h**2 + 33*h**2 - 4*h**3)*(101*h**2 - 55*h**2 - 47*h**2 + 142).\nAnswer: 4*h**5 - 563*h**3 - 710*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d - 16. Give g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62121?\nAnswer: 3, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*2\/(-2)*1. Let k be (-2)\/n + 4\/8. Let h = -4 - -6. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -70. Suppose -u = -2*s - 0. Suppose s*f = 40 + 8. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935\/10 - (-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*j + 147*j - 387 = -49*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**3 - 6*o**2 - 6*o - 3. Let m(z) = 2*z**3 + z**2 + z + 1. Let w(q) = i(q) + 6*m(q). Let f(c) = 66 + 68 - 200 + 65. Give 6*f(h) + 2*w(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = p + 39, 0*d - d + 4*p = -51. Calculate the remainder when 49 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 8*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2410 at most -2285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d + 21. Let a be k(-10). Let x = 216 - a. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*o**3 + 156*o**3 + 88*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/14, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870906678.\nAnswer: 2, 3, 331, 438523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - 0) + 54\/8)*(-120)\/(-9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:48 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from hmllcccmbchhhc?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.31 - -3.49. Let m = z + -50. What is the nearest to 1 in 5, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59119193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 2, m: 4}. Give prob of sequence eeb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229372199 is divided by 3660.\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**4\/2 + 2*d**3\/3 - d**2\/2 - 2*d + 3. Let t = 376 + -377. Calculate the least common multiple of l(t) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*h - 2*h - 50, 4*y - 2*h - 82 = 0. Let s(n) = 1638*n**2 + 9*n + 10. Let j be s(y). What is j rounded to the nearest ten thousand?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.21 + 3.31. Is q <= 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1267\/(-105))\/((-4)\/(11 - -5))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 0.27, 2.6, -0.5, -0.7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15 + 5\/10 + 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 3*o + 1. Let t(q) = -q**2 - q. What is -m(i) + 2*t(i)?\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from eeesedser.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let d(f) = 3*f + 11. Let x(s) = -d(s) - 4*u(s). Suppose -14*r + 15*r - 8 = 0. What is x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2. Let p(x) = -x**2 + x + 4. Let t(j) = -22*j**2 + 2*j + 8. Let y(w) = 2*p(w) - t(w). Determine l(y(c)).\nAnswer: 1600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkyparau. What is prob of picking 1 u and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26218 = 123*m - 35*m - 24282 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v + 15*v - 3*v)*(10 + 5 - 6) to o*v + t and give o.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -213007083.4 and -2.\nAnswer: -213007085.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2006272, 4012546, 6018820?\n\"Answer: 2006274*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/16317 and 61\/151515.\nAnswer: 1060605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 396182123 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, 4, -4, -30.\nAnswer: -30, -4, -3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*3\/(-2)*-1. Suppose -5*s + 8 = -b + 3*b, -4*s + 11 = -r*b. Let z = 9\/7 - 8\/7. Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + -22. Let u be (3*p\/(-2))\/3*2. What is u rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.086 times -48\nAnswer: 148.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:23 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*a - 79 = 0, o + 5 - 18 = 2*a. Let n(d) = -3*d**2 - 29*d + 6. Calculate the remainder when n(-3) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4 + 3 + 2*j - 6*j + 3*j. Let r be c(7). Solve 3*g + g + 12 = r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18815819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**6\/360 - h**5\/60 + 2*h**3\/9 + h**2\/2 + 2. Let n(s) be the second derivative of f(s). Factor n(c).\nAnswer: (c - 2)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44769 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/36*-18*(-1)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198732 is divided by 24836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37155 + 1e?\nAnswer: -37136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325504.\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzvhuzr. Give prob of sequence uxh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 b when four letters picked without replacement from {m: 10, b: 5, k: 2, r: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 - r**4\/2 - 3*r**3\/2 - r**2. What is the least common multiple of m(-10) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010001 - 221?\nAnswer: 10002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8508 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4991 and 217.\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66276)\/213030)\/((-7)\/(-50))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 44. What is o(-27)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 5*d**4 + 5*d**4 + (6 + 0 - 4)*(3*d**4 - 2*d + 2*d) to the form u*d + c*d**2 + j*d**4 + p*d**3 + l and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - 7*k**3\/6 + 17*k**2\/2 - 469*k. What is s(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 19\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:44 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 3. Let y(k) = 2*k**2 - 14*k + 12. Let h be y(6). Which is the closest to 2\/11? (a) m (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1274 + -5?\nAnswer: 126d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6976*r**2 - 64*r + 64. List the prime factors of d(2).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 225010000 to the nearest one million.\nAnswer: 225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 35 = -45. Let r(g) = g + 7. Let b be r(-8). Let d(u) = -5*u**2 - u - 1. Let f be d(b). Put f, 0, v in increasing order.\nAnswer: f, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 417 and 1112?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/10 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:15 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 6)*(3 - b - 3) + 2*b - 4*b + b + 3*b + 2*b + b)*(-4*b**3 + 2*b**3 + 0*b**3) - 13*b**2 + 4*b**2 - 2*b**4 - b**2.\nAnswer: -8*b**4 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34468 divided by 34468\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137 - 39 - 289)*(-2*c**3 + 0*c**3 + 3*c**3) to the form m*c**2 + g + h*c + n*c**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 66921769*x. Let q(u) = -2*u. Determine z(q(r)).\nAnswer: -133843538*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513183 and 27.\nAnswer: 4618647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 20. Suppose -2*s + g*q + 30 = -0*s, 4*q - 5 = -s. Suppose -s*n = -16*n + 18. Calculate the highest common divisor of 78 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 128?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 18. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let z(a) = a + 8*a - 9*a - 4*a**2. Let s(p) = -3*k(p) + z(p). Let n(q) = 2*q**2 + 2. Give n(t) + 3*s(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5*k**3 + 201175*g**2*k**3 - 3*g*k**3 + 2*k**3 + 100188 wrt g?\nAnswer: 60*g**3*k**3 + 402350*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s**3*s*s**1*s*s**7)\/(((s\/(s\/(s\/(s**(-1\/4)\/s)*s)))\/s)**(5\/2))**(-2\/5) assuming s is positive.\nAnswer: s**(419\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 215 - 215 + 2*v. Let l(m) = -46*m**2 - m. Give l(q(h)).\nAnswer: -184*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017152 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: How many minutes are there between 7:12 AM and 6:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839 + 196808 + 5*w**3 + 83021.\nAnswer: 5*w**3 + 281668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:32 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(136\/(-17) - 34\/(-4)). Which is the fifth biggest value? (a) f (b) 8 (c) -3 (d) 3\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {q: 8, i: 4, v: 2, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*(-17 + -1). Let b(w) = -5*w**2 + 16 - 2*w - w**2 + w**3 - 16. What is b(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -151155 rounded to the nearest one hundred?\nAnswer: -151200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 7) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 22311?\nAnswer: 22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3159)\/sqrt(3) + 0.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 4*f**2 - f + 4. Let g be m(-3). Let s = g + 14. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 11 = -2*d + 16, 0 = -4*d - n + 33. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let l(w) = -2*w**2 - 2*w - 4145. Determine l(v(y)).\nAnswer: -2*y**4 - 2*y**2 - 4145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4880 - 4855. Let g(v) = 6*v**3 + 3*v + 1. Calculate the remainder when g(3) is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 10*j - 10. Let h be w(7). Let y be (1 - -25)*10\/(-4). Let p = h + y. What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -4, 0.2466, -1, 0.25, 4?\nAnswer: 0.2466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didweiwddiwdudwduwde. Give prob of picking 1 e and 1 d.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -7. Let h(r) = 2 + f*r + 7*r - 15*r. Calculate h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-588)*-6)\/(-1*26\/91)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f34 - 384?\nAnswer: -12b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 11*u = 4*x - 34, 59*u - 277 = 54*u - 41*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/425131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a day in minutes?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 644, -2, 1, 36, -3 in decreasing order.\nAnswer: 644, 36, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18811151 or 18811161?\nAnswer: 18811161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101989000 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 4?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 0.17. Which is the biggest value? (a) l (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, -432, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/5 - 8304*p\/5 + 33168\/5 = 0.\nAnswer: 4, 2764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 462, 909, 1342, 1755, 2142?\n\"Answer: -i**3 - i**2 + 457*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1227842 and 569500?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 + 20.76. Let p = 34 - t. Let x = -9 + p. What is the third smallest value in 0.3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 538, 550, 566, 586, 610?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 5920.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = -27*d + 55*d - 3*n, 15*n = 4*d - 48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7883 equal to -457157\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1)\/(9\/79) + 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*h + 5*h - 44*h. Let q(x) = -x**2 - 10*x - 13. Let j be q(-9). Which is the nearest to h? (a) -0.52 (b) 0.1 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 8, s: 6}. What is prob of sequence sssu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186952414 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*f + 5. Let m = -3.427 - -0.027. Let u = 3.1 + m. What is the fourth smallest value in f, u, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70647306 to the power of 1\/2, to the nearest integer?\nAnswer: 8405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/51*3\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5035 + -10?\nAnswer: -5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*m - 0*s - 74, -180 = 5*m + 5*s. Let p be 4\/(-2) + m\/(-2). Suppose 330 = -0*j + 2*j. What is the highest common factor of j and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = w - 480. Calculate the greatest common divisor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3*(1 - -1))\/(-2 + 4). Solve -2*g = -r + 5*r + 6, v*g = 4*r - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 289 = v, -3*c + 3*v = 7*v - 187. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(45).\nAnswer: -15*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-32)*a*a*a\/(a*a*a**(-3\/2))*a**(1\/4)*a\/(((a*(a\/a**(-22\/9))\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(1271\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602258 is divided by 3093.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 4*n - 8 + n**3 - n**2 + 13*n**2. Let p be o(-12). What is the first derivative of 121 - 57 - 14*b**p - 63 wrt b?\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 - -2. Let z = -11.9 - -12.84. Let u = z + p. Which is the second smallest value? (a) u (b) 0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q - 4. Factor 27 - w - 21*w + q*w**2 + 4*w.\nAnswer: 3*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721501 + 1442979 + 2*g - 721478.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71595\/(-2368))\/129*8.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/(sqrt(9)\/sqrt(3))) + 3.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -5*a + 2*o - 69, 5*a - 175 = -4*o. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9665 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 5*k**3 - 2*k + 5*k**3 - 9*k**3 in the form n*k + c + a*k**3 + v*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, 6\/41, -10\/3.\nAnswer: -10\/3, 6\/41, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b. Let h(w) be the first derivative of -2 - 1\/2*w**2 + b*w. Let l(v) = 5*v**2. Give h(l(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005758507 to 7 decimal places.\nAnswer: -0.0000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7 + 13. Solve -v*d = -1 - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744456.\nAnswer: 2, 3, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*y - 1103 - 647 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432 or 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/9, -3, 2\/15, 0.077?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 117*g**2 + 59*g + 19. Calculate the remainder when 991 is divided by k(58).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -3*j**7\/14 + 5*j**3\/2 - 14*j. Find the second derivative of v(b) wrt b.\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.5 + -30.8. Let p = 14.3 + 0.7. Which is the smallest value? (a) p (b) t (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 7*u + 12. Let h(x) = x - 2. Calculate -21*h(w) - 3*t(w).\nAnswer: 3*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 25 = 10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1270 and 1870710?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/2, -0.1, 55.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/35)\/((8\/68)\/(14*(-2)\/4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*f + 0 + 2\/3*f**2.\nAnswer: 2*f*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -75.7. Let v = a + 7. Round v to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 - -218.3. What is m rounded to 1 decimal place?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*j + 6 = 5*m, -15 = -m + 3*j for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, x: 3}. Give prob of sequence gg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2530603 centimeters?\nAnswer: 2.530603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*h**2 + 147*h**2 + 253*h**2 + (0*h**2 + 0*h**2 + h**2)*(-1 - 3 + 2).\nAnswer: 269*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1748 and 7544?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 6\/(-9) + -215*(-7)\/315*6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -30*x**3 + 7*x**2 + 5*x - 2. Let c be l(-1). Solve -c*k - 18 = -27*k - 3*d, -2*d - 4 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*q + 0*q + 10*q - 13*q - 29*q.\nAnswer: -89*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*b - 315 = 0, 5925*r + 5*b = 5933*r + 492 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:06 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 - o**4\/6 - o**2. What is the second derivative of t(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**10)**(26\/9)\/(q\/q**(2\/7))**18)**(-2\/17) assuming q is positive.\nAnswer: q**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 10, j: 2, i: 3}. Give prob of sequence jg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 48*t**2 + 18*t - 864. Let d be b(48). Solve -4*l = 0, 2*l + 20 = -d*i + 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -58) + -7 + (19 - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6807111200*g**3 + 81685101040*g**2\/3 - 2800318*g\/9 + 8\/9.\nAnswer: 2*(g + 4)*(175020*g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6306 - 6306. Let n(g) be the second derivative of 11*g**2 + 0 - 16*g + 2\/3*g**4 + q*g**3. Differentiate n(k) with respect to k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -873, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2233*r + 31251. Give d(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*(0 + sqrt(1620) + sqrt(1620)) - (-4*sqrt(1620)*-5 + sqrt(1620))) + -1)**2.\nAnswer: -2052*sqrt(5) + 584829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002014584 rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740.184l to millilitres.\nAnswer: 1740184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 708927.2 decades?\nAnswer: 85071264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 4*j + 7. Let a(z) = -8*z + 0 + 11*z - 5*z**2 + 2. Let u be a(-1). Give d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105 times -0.333?\nAnswer: -0.034965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 131840.\nAnswer: 1\/32960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let g(b) = -15*b - 38. Determine g(h(r)).\nAnswer: -30*r**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19*v**2 + 1. Let p be y(1). Suppose 5*r + 5*g = 20, -7 = 2*r + 3*g - p. Let t = -25\/6 - -4. What is the nearest to 1 in r, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/21*((-125103)\/15576 - -8) and -61\/56.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2994494 or -2994493?\nAnswer: -2994494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 203936.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(72)*2 + sqrt(72) - (sqrt(72) - 2*sqrt(72))*-6) - 6*(sqrt(72) + -1 + 2 - sqrt(72) - (sqrt(72)*-2)**2*6))*6.\nAnswer: -108*sqrt(2) + 62178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from cckkckkckkccckkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -45, -72, -101?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 189621 = -247606. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 326*y**2 + 9*y + 21. Let r(l) = -l**3 + 164*l**2 - 5*l - 12. Determine 4*c(z) + 7*r(z).\nAnswer: -3*z**3 - 156*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w, b = -4*b + 4*w + 23599992. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:28 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9195*n + 40*n**2 - 3*n**4 + 7 - 21 - 9197*n - 2*n**3 to the form x + b*n**2 + z*n**3 + s*n + d*n**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsttshhsstthsiswsn. What is prob of sequence iw?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2274*i**3 + 79 + 23 - 2220*i**3 + 7 wrt i?\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 12) to base 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -7*u**3\/6 - 13*u**2\/2 + 3*u. Let k(z) = 6*z + 12. Let o(y) = -3*a(y) - 4*k(y). Is 9 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*g = 126*g - 248*g + 15708. Is g a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 31*g**4\/12 - 11*g**3\/2 + g**2 - 147*g - 1. What is y in b(y) = 0?\nAnswer: 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a week in minutes?\nAnswer: 64260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 - 3780*p - 16233600 = 0. Calculate p.\nAnswer: -1780, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010609136805 to 7 dps.\nAnswer: 0.0106091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 36 + (9 - 5 - 7) + 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90307733 and 4143.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 1) + -2 + -2. Let r(c) = 5*c + 2*c**3 - 1 - 3*c**3 - 4*c**2 + 7*c**2. Calculate the remainder when r(q) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.925323 grams to nanograms.\nAnswer: 7925323000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 15 + 2 - 7)*(-2*u - 2*u + 2*u).\nAnswer: -4*u**2 - 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1282 divided by 7306.\nAnswer: 641\/3653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3458 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1037459 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 - -132001?\nAnswer: 133222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19879687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5635 is divided by 509?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-10) - 21\/35. Suppose 0 = o + u - 5, -p*o = -3*o - 2*u + 1. What is the third derivative of -8*n**2 + o*n**2 + 6*n**6 - 6*n**2 + 3*n**2 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(19))*-1*-6 - (sqrt(228) + (1*sqrt(228)*-4 - sqrt(228)))\/(sqrt(132)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 49. Factor 1 + 7\/4*v**3 - 19\/4*v**2 + d*v.\nAnswer: (v - 2)*(v - 1)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 - 124. Let s = -40 + 125. Suppose -i = 3*y - s. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2. Let q be (8\/(-24))\/((-2)\/(-30)). Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4 + u**3\/3 - 3*u**2\/2 + 3*u - 2. Let b be t(3). Is (b\/(-6))\/(1\/2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19947 divided by -6649\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*p**4 - p**2 - 1561?\nAnswer: 2088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (6 + -21) - -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1*(-2 + -80). Let v = 437\/2 - i. Let f = v + 28. Sort 0, 3, f in ascending order.\nAnswer: 0, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19873*3321\nAnswer: 659.98233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqipiwwqwhiwpwhppw. What is prob of picking 1 h and 2 p?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421164 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 5*w**2 - 595 - 2*w + 597 in the form s*w + i + u*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z. Let c(o) be the first derivative of -12*o**2 - 30 + 12*o**2 - 10*o**2. Determine 3*c(i) + 16*k(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -5, -9015 in increasing order.\nAnswer: -9015, -5, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9595 and 138.\nAnswer: 1324110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most -0.05672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9903 - -9904. Which is the fifth biggest value? (a) -3 (b) x (c) -3\/2 (d) 5 (e) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 2 t when four letters picked without replacement from {t: 3, p: 2, d: 2, o: 1, f: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 8\/5, 1\/11, 55?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314 + 330.3. Let x = 13.3 - f. Put x, 5, 29 in descending order.\nAnswer: 29, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.607 + -2.82. Let l = i - -0.558. Let c = l - 1.34500643. Round c to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -4. Let l = -0.4 - f. Let x = -0.2 + 0.3. What is the biggest value in x, -5, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515778 <= -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*u + 203294, 0 = -497*u + 502*u - 20. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 6006a?\nAnswer: -60061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40365 by 5.\nAnswer: 8073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m**3 - 6*m**2 + 6*m. Let x(j) = 38*j**3 + 17*j**2 - 17*j. Suppose 6 = 6*l + 42. Determine l*x(a) - 17*g(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l**3 - 9*l**2 - 4*l + 16. Let g(c) = 7*c**3 + 4*c**2 + 2*c - 8. Determine 6*f(y) + 13*g(y).\nAnswer: y**3 - 2*y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 5*p + 5130 = 0. Let h = 287 + p. Solve -2*z + 5*x + 12 = -z, 5*z - h = -4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6258, 12536, 18814, 25092?\nAnswer: 31370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:03 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 73695740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-18)*(-7956)\/442)\/((-4)\/(-6)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-14))\/(984\/(-1435)). Let i(j) be the second derivative of 0*j**2 + 0*j**3 + 7\/20*j**5 + 0 - 8*j - z*j**4. Find the third derivative of i(n) wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5*x**3 + 6*i**2*x**3 + i*x**3 - 199*i*x**2 wrt i.\nAnswer: 20*i**3*x**3 + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 5. Suppose -q*d = 3*d. Let u(r) = r + 6. Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1)\/a))**(1\/2))**(-3\/11)*(a**(1\/3))**(-1\/3)\/((a*a**(-1\/9))\/a*a*a**(-6)) assuming a is positive.\nAnswer: a**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.013489441 rounded to two decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -671.9 + -18.1473?\nAnswer: -690.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -1. Let l(x) = -2*x**2 - 4*x - 1. Let y(t) = -t**2 - t. Suppose -4*d = -3*h - 37 - 19, 3*h + 61 = -d. Let g = h - -22. Calculate g*l(r) + i*y(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 + 473. Let l = -3764 + 4021.9. Let b = d - l. Round b to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:02 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39827 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16504*x - 16506*x = -4*s - 10, x - 5 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9626816*k**2 - 2748034*k.\nAnswer: 19253632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2 - -3.2. What is the nearest to 0 in y, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 87\/2, -10, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -92 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 4. Suppose -7*p - 112 = 357. Let n = 65 + p. Let d(l) = 2*l + 5. Give n*d(j) + 3*m(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14104945.\nAnswer: 5, 251, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11613.076 + 11583. Let f = o - -30. Round f to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3, -49, 1\/2, 0.1?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/106338526 and 111\/106338526.\nAnswer: 106338526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 + 0 = 0. Let x = -27 + 42. Suppose -2*q - x = q. Put f, -2, q in increasing order.\nAnswer: q, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 61*v - 782. Give g(62).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 at most as big as 2335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by -418\nAnswer: -113\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5. Suppose t*d = 3*d + 10. Suppose -5*j - 5*o + 50 = -0*j, -22 = -j - d*o. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, w: 1, s: 2}. What is prob of sequence sa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*p - 13. Let y be ((-3 - -2)*4)\/p. Let v(x) = -2*x. Let w be v(y). Solve 2*i + 0*i - 3*r - 13 = 0, -i - w*r = -1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*x + 19. Suppose 0 = -x*q + 48 + 8. Calculate the lowest common multiple of q and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14022 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 6*r - 210 = 0. Suppose -3*y = y. Find the second derivative of y*m**2 - 2*m**2 - r*m - 5*m + 10*m**2 wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/41)\/t**(-3))**44 assuming t is positive.\nAnswer: t**(5324\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 10 = 2*n. Let l(z) = -z. Let c(u) = u. What is n*l(j) + 6*c(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 19*w - 7. What is the remainder when d(21) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 860, 3442, 7748, 13778, 21532?\n\"Answer: 862*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a3250 (base 11) in base 6?\nAnswer: -302123253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 1. Let f be o(-2). Suppose 0*r = f*r - 25. Suppose -8 = -s - 3*b, r*s = 5*b + 8 + 12. Let y(q) = -q**3 + 5*q**2 + q + 4. What is y(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10498262 to four decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1704\/16 + (7\/2 - 4). Solve -3*v = -h + 97 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44452 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (422\/3)\/(7 - 92\/12). Let b = g - -212. Sort 3, b, 0 in increasing order.\nAnswer: 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 30. Let y be 1\/(-5) + v\/(-30). Let f be (1 + y - 1) + 621\/9. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*l**2 - 49942*l - 22200.\nAnswer: 2*(l - 2775)*(9*l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:48 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2540 = -1210*s - 3106 + 115371 + 22165 for s.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 649 - 14301\/22. Calculate the common denominator of 119\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 777460*r*x**4 + 5*r*x**3 - 771*r*x**2 - 54*r*x + 89*x**2 wrt x?\nAnswer: 18659040*r*x + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911 + 303 - v + 306 + 302.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 33 = -4*b, -66 = -0*b - 5*b + 2*h. Let j(z) = -z**3 - 3*z**2 + 11*z + 13. Let s be j(-5). What is the greatest common factor of b and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*a**3 + a**2 + 2*a**2 - 3*a**2.\nAnswer: 812*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-3) + 81\/(-12)*424\/(-477).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -21 - -2 - -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x - 776*x = 475*x - 2618. Let p be (-12)\/9 - (-1)\/3. Sort 0.08, 1.1, x, p.\nAnswer: p, 0.08, 1.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6316)\/(-142110)*((-1)\/1 - -6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)*y*y\/(y**(2\/13)\/y)*y*y)\/(((y**10*y)\/y)\/(y*y**8\/y)) assuming y is positive.\nAnswer: y**(209\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9454589 litres in millilitres?\nAnswer: 945.4589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**5 + 1218*x**4 + 399*x**3 - 810*x**2 = 0. Calculate x.\nAnswer: -135, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5721 + (-1)\/(-1) + -15 + 12.\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2006 + -2002. Which is the nearest to -11? (a) 0.3 (b) s (c) 3\/19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/95 - ((-2255)\/(-225) - 8\/36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -0.3, -99?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 353, 327, 53, -553, -1575?\nAnswer: -3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + 7*t)*(4 - 4 + 2)*(0*t + 1 + 1 + t).\nAnswer: 8*t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - 6) + (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**2 + 64*v + 40*v - 1 - 90*v.\nAnswer: -17*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/2503711 and -1\/2?\nAnswer: 5007422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8906 rounded to the nearest ten?\nAnswer: -8910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67794 divided by 6?\nAnswer: 11299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 63880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149 - 1?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 2217331.9957.\nAnswer: -2217345.9957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 = 74*w + 4*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 1 - (-18 + 26 + -5 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1273 - 0.3328. Let u = 0.0235 - x. Let l = -0.87 - u. What is l rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u**(-1\/9))**(-20) assuming u is positive.\nAnswer: u**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**3 - f. Let v(t) = 33*t**3 - t**2 - 4*t. Let b(i) = -7*m(i) + 2*v(i). Determine b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/8 + l**2\/2 - 1. Let c(v) be the second derivative of u(v). Let q(k) = 17*k - 54*k + 23*k + 17*k. Give c(q(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w - 44*w + 109*w - 70 = 0. Calculate the remainder when 3165 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 133334*a**2 + 66673*a**2 + 66671*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53083\/1388 or 38?\nAnswer: 53083\/1388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - -2.506. Let l = z + 0.037. Which is the biggest value? (a) -4 (b) 0.3 (c) l (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17680, 17681, 17682, 17683, 17684?\nAnswer: 17685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {j: 1, d: 1, k: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 60. Let g = d + 90. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - 3*n)*(1 - 1 - 1)*(135 - 477 - 255 - 112).\nAnswer: -709*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960*f + 977 + 225 - 41*f**3 + 72*f**2 - 2 - 7*f**3 + 3*f**4 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 3, t: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 2*x. Let m be (2 - x)*-1 + 1. Solve -c + 5*i + 3 = m, 2*c - 5*i - 13 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 420*c - 421. What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000139386 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.95 + 6. Suppose 9*h + 11 = -133. Let k be 1\/(-4) + (-12)\/h. What is the second smallest value in a, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5097 is divided by 1696.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66361365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2205)*1 - sqrt(2205).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 235 (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6 - 11*l - 3*l - 9*l + 21*l. Suppose -14*v - 40 = -6*v. Calculate o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-c**2 - 4*c + 4*c) + 10*c**2 + c**2 - 3*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44, -158, -360, -656, -1052, -1554?\n\"Answer: -o**3 - 38*o**2 + 7*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, 5 in decreasing order.\nAnswer: 15, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 982*u - 78. What are the prime factors of p(2)?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrn when three letters picked without replacement from nreneeerne?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7276*m**2*y + 6*m*y**2 + 37*y**2 + 1065 wrt m.\nAnswer: -14552*m*y + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/6*(-18)\/(-1). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2) + (-110044)\/(-488).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 + f + 1. Let o = 758 - 762. Calculate g(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -0.3, -0.11 in ascending order.\nAnswer: -6\/7, -0.3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88 + 0 - (4 - 3). Suppose c = 4*n - 225. Suppose 0 = -5*x + 2*i + 101, 3*x - 3*i - n = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101013201123203 + 2?\nAnswer: -101013201123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - -1) - ((3 - 8) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgn when three letters picked without replacement from odgzgmngzggggm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76 and -0.2.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -213*f - 8. Let x be g(-4). Suppose 3*m = 7*m - x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.3617 less than 0.6148?\nAnswer: -346.7469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + o - 16 = 0. Suppose r - o*r = -0*r. What is the nearest to r in -2\/23, 3\/4, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 3\/4 (c) -403\/847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 4*z + 4*z)*(-19*z - 23*z - 21*z).\nAnswer: -189*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 3. Let q be ((-10)\/h)\/(22\/(-9)). Let i = -7 - -8. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/31, 43525.5, -0.3, 2?\nAnswer: 43525.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 18*b = 5. Sort -2, 0, b.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/26 - (-3)\/6. Suppose -472 = -6*q - 352. Suppose 2*u = 3*u - 2*r + 10, -2*u + q = 4*r. Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323 - 320. Let n = 13 - 9. Let l be -5 - (1 - 3) - -5. Solve 0 = a*c + x - n + l, -c = x - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 2)*(14 + 1 + 2) - 3 - 3 + 5 - 5 + 0 + 1)*(-4*r + 5*r + r)*(-19*r**2 - 6227*r + 6227*r) to w + h*r + t*r**3 + v*r**2 and give t.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 770, 1770?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19587 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002336653912 rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 245.71 - -0.028.\nAnswer: 245.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 60 = 37*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 74*w**2 + 11*w + 21. Is 29 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 7891*j**4 + 2*j**3 - 680*j**2 + 6*j + 1.\nAnswer: 120*j**2 - 189384*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 6 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 23719825*d**2 - d**3 + 23719825*d**2.\nAnswer: -d**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 477?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1691549 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-15)*(-3)\/(-2). What are the prime factors of 60\/4*m\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 2*g**4 - 2*g**4)*(-269*g + 118*g - 380*g) + (-6 + 3 + 1)*(-2*g**5 - g**5 + 5*g**5).\nAnswer: -1066*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 3. Suppose -5*j - 5*l + 6*l = -18, 0 = -5*l + 10. Let r be (-4)\/(-6)*(j - -2). What is w(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a factor of 14272944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/40 + 43\/(-4). Let i be (a - 14)*5\/2. Let g = 144 + i. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/30 + 7*v**4\/24 - v**3 - 3*v**2. What is the tens digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 47322?\nAnswer: -47324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -19452\/8417 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -8*j + 15. Suppose 0 = -0*u + j*u - 12. Suppose 2*f - 16 = -2*f. Sort u, f, 3 in ascending order.\nAnswer: u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(128))**2.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z. Let i(a) = -a. Let l = -61 + 72. Let u = 16 + l. Let d be -3 + (u - 4\/(-1)). Give d*i(w) + 4*y(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2067000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (1 - -10 - 9) - 7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 125298 + -6306\nAnswer: 118992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -452086 or -452089?\nAnswer: -452089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477190007?\nAnswer: 7, 61, 191, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 4\/10) + 620\/50. Solve -4*l - 8 = -g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28104 - 1.28104. Is 2.2091 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13.11. Let l = p + -0.11. Let f = 5 - 3. What is the third biggest value in l, -2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4)\/(966\/(-552))*275*(-15)\/(-150)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 24*b + 121. Let n be x(-6). Let k be (0 - -1)\/(-10 - n\/2). Find h such that -2\/3*h**3 + 0*h - k*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27788076 to the power of 1\/2, to the nearest integer?\nAnswer: 5271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 24 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18016469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 4, k: 5, c: 1, w: 1, s: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 28*c + 140 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2 + (-59428)\/6444\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 is divided by 299?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 + 5748*n + 68400 = 0. Calculate n.\nAnswer: -1425, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71343830.\nAnswer: 2, 5, 53, 227, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 + 62*h**2 + 179*h - 20. Give k(-10).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -108?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 262 = -5*d, -d + a + 203 = 3*d. Calculate the highest common factor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g - 176 = -81. Let q = -1 - -4. Suppose u - 44 = -3*z, q*z + 2*u + 10 - 53 = 0. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - 3*b + 3. Suppose -2*s - 7 - 95 = 0. Calculate the remainder when (2\/(-6))\/(1\/s) is divided by l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2*18\/108.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/7 + 72*d**3\/7 + 78*d**2 + 1080*d\/7 - 243.\nAnswer: 3*(d - 1)*(d + 7)*(d + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**6\/6 + 219*w**5\/5 + w**3 + 40*w - 377. What is the third derivative of g(t) wrt t?\nAnswer: -60*t**2 + 5256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19714, -19669, -19590, -19471, -19306, -19089, -18814?\nAnswer: -18475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 146*s + 276. Let q be r(-144). Does -345\/26 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:38 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c**2 + 16*c - 23*c**2 + 10*c**3 + 19*c**2 - 5. Let w be q(-13). Round w to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1221 and 592.\nAnswer: 19536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20000 != 19984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 1)*(-2 + 3 + 0) - 1 + 2 - 3)*(3*z - 6 + 6) in the form a*z + q and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(176) + 1) + sqrt(176) - ((sqrt(176) - (-1*sqrt(176))**2) + 0)) - 1*6*(sqrt(176) + sqrt(176)*-3 + 3 + sqrt(176)).\nAnswer: -873 + 124*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*l = 9*l - 251, y - 125 = -3*l. Calculate the remainder when 155 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {v: 1, r: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-51))\/(4\/(-6)). Let j = 85881 + -13139849\/153. Let n = b + j. What is the fourth smallest value in n, -1\/2, -6\/5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/11 + 200*i**3\/11 - 4186*i**2\/11 + 25012*i\/11 = 0. Calculate i.\nAnswer: 0, 13, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 2*m)*(0*m**3 - 2*m**3 + 3*m**3) + (-2 + 2*m**2 + 0 - m**2)*(-28*m**2 - 13 + 13).\nAnswer: -31*m**4 + 56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 465 = -4*z + 43*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30f89 (base 16) in base 11?\nAnswer: -127780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24334222 (base 5) in base 10?\nAnswer: 230562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1264, -3, -4, 0 in decreasing order.\nAnswer: 1264, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2728, 5455, 8180, 10903?\nAnswer: 13624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -1438?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 4 = 46*n, 4*n - 13 = 3*k. What is the closest to -1 in -0.4, -0.01, 2, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -21, 73, 257, 561, 1015?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*b = -f + 16, f - 5*b = 12. Let r(q) = q - 2*q + 2 + 0*q + 8. Let c be r(7). Calculate the highest common divisor of f and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 107*h**2 - 5. Let z(b) = 2890*b**2 - 136. Let f(m) = 136*g(m) - 5*z(m). Let j(s) = s. Give j(f(l)).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 3*w - 14, 0 = 4*w - 8. Suppose -2*y - 3*n + 8 = 0, y - l*y - n = -6. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813619909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 335, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31898.\nAnswer: 2, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*t**2 - 17*t + 3 wrt t.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*8\/54*96\/64?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-372)\/2)\/((-3)\/2). Let w = -66 - -3. Let x = w + m. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 313.\nAnswer: 25666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252098704 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (-4)\/14. Let z(t) = -t**2 - t + 12. What is the units digit of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1873 = -362. Suppose -4*o + 90 = 2202. Let r = o - s. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.013?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*l - 30 = 0. Suppose -32 - 48 = -l*u. Suppose -3*f = -5*n - 112, -n + 108 = 2*f + u. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:51 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 246\/5. Let y = 2756\/3 + -13378\/15. Let j = y - 1067\/40. What is the smallest value in j, 4, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -41, -61, -87, -119, -157, -201?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, and 1 k when three letters picked without replacement from xuxxxxxxkxxxxxxxxxx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*y - 98 = 5*y, -3*y = -2*u + 61. Calculate the greatest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - (-22)\/44. Let q be ((-6)\/(-1156))\/(3\/4). Let o = -608\/4335 + q. Is b equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 1464\/192)*2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, m: 3, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15*1)\/((-243)\/81))\/(15\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2.1 (b) -4 (c) 3 (d) 12\/5 (e) -6\/11 (f) -0.4 (g) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = q - 71, -7*r + 13*r + 36 = 0. Let j(n) = 11*n + 7. Let l be j(7). Suppose -l = -2*g - 2*g. Calculate the remainder when q is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35100.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 161, 360, 639, 998, 1437?\n\"Answer: 40*i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3672 and 27119556.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19472 (b) -558 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:27 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*w**2 - 36*w + 29*w**2 - 12*w**4 - 10*w**2 + 8*w**5 + 8 - 20*w**3.\nAnswer: 4*(w - 1)**3*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*s**2 - 8*s**2 + 3*s**2 - 15*s**3 + 10*s**2 wrt s.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = -2*s + 15*s - 35 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l**3 + 78*l - 120*l**3 + 235*l**3 - 78*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*n - 24 = -127*n. Factor -21*y**2 + 29*y**2 + 28 + 4*y - 36*y**2 - n*y**3.\nAnswer: -4*(y - 1)*(y + 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7809, 7810, 7811?\n\"Answer: p + 7808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2903, -5804, -8705, -11606?\nAnswer: -14507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, j: 2, m: 2}. Give prob of sequence sj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0478 - 3.9522. Sort 2\/7, m, -64 in increasing order.\nAnswer: -64, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -26*q**2 - 4*q + 2. Let k be y(3). Let a = 277 + k. Find the common denominator of a and (-31)\/10*(1 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 132 = -0*s. Let r be (-7)\/14 + (-1035)\/(-6). Suppose h - 3*w - 18 - 14 = 0, -4*h = -w - r. Is s at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let t(q) = -97*q + 257*q + 155*q. Calculate t(h(m)).\nAnswer: 945*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 18*o**2 - 2*o - 32. Let f be j(-18). Suppose -4*m - 5*g = -g - 412, -424 = -f*m - g. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 142739751.\nAnswer: 428219253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6460*d**2 - 18643525*d + 101010.\nAnswer: -5*(d + 2886)*(1292*d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -3 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 78717?\nAnswer: 78725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10*l + 804 = 0. Let g = -131 + l. Let x(b) = 3*b**3 + b**2 - 3*b - 1. Let j(w) = -3*w**3 - w**2 + 4*w + 2. What is g*j(t) + 4*x(t)?\nAnswer: 3*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/12 - o**4\/24 + 15*o**2\/2 + 14*o. Let c(b) be the first derivative of s(b). What is c(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 12833*j**5\/20 - 541*j**3\/3 - j**2\/2 + 13075*j. Find the second derivative of a(x) wrt x.\nAnswer: 76998*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**(1\/3)*f)))\/(f**(-1)*f))\/(f**6\/(f*f*f*f**(4\/5))) assuming f is positive.\nAnswer: f**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 25*j**2 - 13*j + 20. Determine b(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) -1618 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*y**4 + 154766*y**3 - 761516*y**2 + 912136*y - 5232 = 0. What is y?\nAnswer: 2\/347, 2, 3, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + o + 52, 4*o - 5*o - 39 = -3*l. Calculate the remainder when 111 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.068 - 45. Let g = o + -0.07126. Round g to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-45))\/((-14)\/(-231))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135446*z**3 - 135419*z**3 + 270897*z**3.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18789885 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -85. Suppose -3*r = -5*m - 2980 - 448, -k*r = -m - 5750. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -3\/7, 17, 2929, -5\/4, 2\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*(-12)\/165.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2273.\nAnswer: -5\/2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7077.286 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -6 + 7 + -7 + (5 - 7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.81? (a) 2 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18387)\/324 + -16 + 66.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 14*u + 7*u + 711, -18 = 5*h + 2*u + 41 + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) + 204\/(-20). Is z < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 4*p + 4. Let v(q) = -2*q**2 - 5*q + 5. Suppose -45*l = -25*l + 279 - 179. Let b be (5 - 2\/2)*1. Calculate b*v(x) + l*z(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 55*k = -58*k - 8, k = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -264*c**3 - 2*c**2 + 6*c + 16265. Let o(b) = 128*b**3 - 3*b - 8132. Let q(r) = -3*i(r) - 7*o(r). What is the first derivative of q(x) wrt x?\nAnswer: -312*x**2 + 12*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.53 + 9.97. Let q = -10.5000126 + a. What is q rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 81 and 44.7?\nAnswer: 3620.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 3 + 0*q + 1. Let n(d) be the third derivative of d**4\/24 + 69*d**2 - 18*d. Calculate a(j) - n(j).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 22 - -50) + 5 + -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -1\/362, 2, -7, 1\/115?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - 0)\/(8\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3 - 0. Solve -15 = 4*m + k, c*k = -2*m + 5*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8972.\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*z**2 + 9 + 5\/2*z = 0 for z.\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 347 - 122. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5298433615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19698807*y**3 + 14*y - 34133 wrt y?\nAnswer: -118192842*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13581231 (base 10) to base 15.\nAnswer: -12d4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*v - 5*t + 10, 3*t + 15 = 0. Let j be ((-128)\/48)\/((-4)\/6). Suppose -k = j*a - 99, v*a + 370 = -2*k + 7*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b**2 + 966*b + 2890. Give f(72).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 4}. What is prob of picking 4 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:46 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1936 or 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 25*t**4 + 90*t**3 - 65*t**2 - 90*t + 40 = 0.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/4, -0.4, 1\/3, -0.5, -452?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 21 (b) -8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**4 - 7*h**4 - 3*h**4 + 372*h**2 + 148*h**3 + 108*h + 28*h**4 = 0. Calculate h.\nAnswer: -9, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83372 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = 2*v - 20, -2*c + 8 = -v. Suppose -w + 0*w + 73 = v. Let k = w + 37. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -487, -1001, -1527, -2071, -2639, -3237, -3871, -4547?\n\"Answer: -d**3 - 507*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**1*l)\/l*l)*l)**(2\/93))**(-18)*((l**(-2\/9)*l)\/l*l\/l**(-2))\/((l**4*l)\/l**(-2\/5)) assuming l is positive.\nAnswer: l**(-3118\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 + 7*r**2 + 12*r + 18. Let i be l(-2). Let o be 277\/3 + 6\/9. Let d be (o\/(-2))\/(1\/(-2)). What is the highest common factor of d and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021 + 10232?\nAnswer: 12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = 0, -21 = -3*o - 5*t + 2*t. Suppose -4*f - 2*x - 18 = 0, o*x + 7 = f - 1. Let m = 3 + -3. Put 5, m, f in decreasing order.\nAnswer: 5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-970)\/480 + 6.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*-794505.\nAnswer: 111230700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 808754419 to the power of 1\/2, to the nearest integer?\nAnswer: 28439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 564 = -68*z + 432 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/7 - 55*g**2\/7 + 348*g\/7 - 576\/7 = 0.\nAnswer: 3, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6892509 is divided by 5306.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1268337, 1268337, 1268347, 1268373, 1268421, 1268497, 1268607?\nAnswer: 1268757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:27 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 23. Suppose 0 = d*i - 0*i - 15. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/7, -2\/17, 5, 203, 1\/5 in decreasing order.\nAnswer: 203, 5, 22\/7, 1\/5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 243*g - 483. What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121879.25 + -150148. Let v = -28258.749976 - m. Let n = 10 - v. Round n to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvzzezwvvvzzww. Give prob of picking 1 z and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 79*o + 1764. Determine l(-25).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3747 + 3747. Solve j*y + 40*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -82. Let c = -26 + v. Let y(x) = 5*x - 25. Let l be y(6). Solve 3 = -2*k + p, 2*k + l*p = 5*k + c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-741)\/(-133) - (-7 + 13). What is the closest to 3 in s, -148, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5034 + 8860 = 2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155144?\nAnswer: 2, 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*30\/(-3). Is (1\/(-2))\/(v\/2110) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**5 - 102*u**2 + 105*u**2 + 2*u**5 wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-95))\/(2\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2042 - -2042. Let s = 2\/169 + 161\/676. Which is the nearest to 0.02? (a) n (b) s (c) 1\/3 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 461 in 2\/3, 10\/7, 76, 0.2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g**2 - g - 8. Let o be (-5)\/((-2)\/(-2) + 0). Let r be u(o). Let p = -242 + r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2604, 2098, 1264, 102?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43326, -43322, -43318, -43314, -43310, -43306?\n\"Answer: 4*v - 43330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7 - t**3 - 2*t**2 - 9 - 5 - 6*t. Let r be i(-2). Suppose 7*b - 6*b - r = 0. What is the greatest common divisor of 65 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101100000111 (base 2) in base 6?\nAnswer: -503423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 23*f\/5 - 10.\nAnswer: (f - 25)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -5\/2*g**3 + 2*g**2 + 117\/20*g**5 - 114*g + 0*g**4 + 0. Find the second derivative of w(t) wrt t.\nAnswer: 702*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:15 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23207423 rounded to two decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - -55. Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689531950 to the power of 1\/2, to the nearest integer?\nAnswer: 26259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4831*-8.3.\nAnswer: 40097.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 3*g = 36, -5*i - 4*g - 41325 = -41303 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 27\/2*q**2 + 55\/2*q**4 - 6*q**5 + 9\/7*q**7 - 11*q - 159\/10*q**6 + 31*q**3 + 0. What is f in o(f) = 0?\nAnswer: -1\/2, -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(5 - g**2 - 5 + (6*g**2 - 2*g**2 - 2*g**2)*(1 - 3 + 3))*(2*g - 2*g - g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 18.72, 1065, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3045 by 609.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -137 + 35*x + 1000 + 532 - 40*x. Let v(l) = 2*l**2. Give j(v(o)).\nAnswer: -10*o**2 + 1395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 - 218. Calculate the highest common divisor of f and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*c - 70*c + 33*c)*(-9*c - 4*c**2 + 9*c) as x*c**3 + d + l*c + z*c**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -17\/329, -1.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.678 + -0.678851. Round d to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-6 - 154\/(-21)). Is ((-15)\/6 + i)\/(2\/(-7604)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.116 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000587618 rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47268157 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 114533, -1, -1\/11, 21 in descending order.\nAnswer: 114533, 21, 0.2, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by (-268)\/(-2) - (9 - 15)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134361 is divided by 272?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18.5. Which is the second smallest value? (a) -2\/5 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t + 47. Let x(h) = -3*h. Let n(b) = -i(b) - 6*x(b). Give n(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 501 - 43*v**2 + 77*v**2 - 33*v**2 to c + n*v**2 + q*v and give c.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f3 + c8?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = i - 5*v - 19, -3*v - 42 = -3*i. Let k(t) = 144*t**2 - t - 1. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 2075904600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*4\/1)\/(19\/(-1596)). Suppose 0 = 3*v - 3*y - l, v - y = -2*y + 116. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 16*f - 25. Suppose -50 - 35 = -5*y. Let j be n(y). Let r(c) = c**2 + 4*c + 6. Calculate the remainder when 112 is divided by r(j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(l + 0*l - 3*l)*((-10 - 22 + 7)*(2*l - 2*l**2 - 2*l) + (9 - 9 - 5*l)*(l + 2*l - 4*l)).\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, 2\/89, -2\/35?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/40612 and -17\/2997904.\nAnswer: 32976944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 307170?\nAnswer: 307172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*v - 2 = 0, -2*m - 7 = 7*v - 8*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**2 - 4*a**2)*(-a**2 + 2*a**2 + 0*a**2) - 1 - a**4 + 1 - 79*a**4 - 18*a**4 + 2*a**4 + (0 + 2*a**2 + 0)*(a**2 + 4*a**2 - 4*a**2).\nAnswer: -95*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141.00324 - -141. Round w to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 661\/23 - 97\/69. Which is the biggest value? (a) -5\/6 (b) x (c) -2\/15 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 16\/29 (c) 2\/1575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(4 - 3 - 2)*((1 + 0 + 1)*(-3*b + 3*b - b) + 2*b - 6*b + 3*b) to the form h + p*b and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmz when three letters picked without replacement from {z: 6, h: 2, i: 3, m: 1, c: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*x - 12 + 2 = 0, 2*n - 4 = -x. Which is the second biggest value? (a) -4 (b) -5 (c) 282 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + -1)*3 + sqrt(1377)*2*3)*-1)**2*4*6.\nAnswer: -11664*sqrt(17) + 2677104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1197 - -1869. Calculate the smallest common multiple of 54 and b.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22 = 17*p. Suppose 0*h = h - 3*j + 10, 4*h - 2*j = -10. Let w(c) = 5*c - 1. Let i be w(h). Put p, -5, i in decreasing order.\nAnswer: p, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.4. Let p = y - -1. Let t = 0.9999915 - p. What is t rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4*338\/5. Let m = n + 224. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22415 is divided by 87?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 5, -1.2, 11, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3185 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2 - 1 - 27 - 3 + 30*s.\nAnswer: 30*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40186267.\nAnswer: 11, 23, 193, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaajaajaaa. Give prob of sequence aaj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211200230 (base 4) in base 8?\nAnswer: 1454054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 33*x + 504. Determine l(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -1\/2*a**2 - 5\/4*a**4 + 0*a**3 + 0*a - 3. Find the second derivative of j(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 18. Let y be z(10). Let i be y + (0\/(-2))\/(1 - 5). Let o = i - 7. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1551.95 and -0.02.\nAnswer: -31.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 24 = 0. Let h(v) = v**2 + 8*v + 8. Let b be h(-12). Calculate the highest common factor of b and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - y = 11, -2*y - 8 = 4*c - 6. Let f = 9 + -12. Let v be (2\/f)\/(6\/(-45)). Solve -3*d = -c*d - v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (518*d - 7 + 773*d + 7)*((-3*d - d + 2*d)*(-2*d + 0*d + 3*d) + d**2 + 5 - 5).\nAnswer: -1291*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13927253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4333444433 (base 5) to base 8\nAnswer: -43317333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8.6. Let o = 2 - s. Let h = -0.9 + o. Which is the closest to -0.1? (a) 5 (b) h (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/31 - -41\/217. Let r = -91 - -67. Let o = 26 + r. Which is the closest to 0? (a) k (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54043?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose 6 + 18 = t*n. Let p(k) = -k**2 + 9*k - 7. Let m be p(n). What is the greatest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1402 and 41359?\nAnswer: 82718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuhhuuhuhuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16060.355 and 1?\nAnswer: 16061.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/23 (b) -3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - s + 2. Suppose -2*x + 5*b + 22 = 0, -x + 2*b + b + 13 = 0. Let d be u(x). Suppose -t = -d*t. Is t < 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -472 divided by 59\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*j + 52 - 52)*(-3 - j + 3) + (0*j + 3*j - 2*j)*(-j + 3 - 3).\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 + 115. Solve i = -2*q - 11, 5*i - 2*q = -3*q - s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 8 + 10*s**2 + s**3 + 16 - 14*s - 2*s**2. List the prime factors of n(-13).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6103, 21481, 36883, 52321, 67807, 83353, 98971?\nAnswer: 114673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**9\/126 - v**5\/12 + 5*v**2\/2 + 4. Let z(u) be the second derivative of l(u). Find the third derivative of z(s) wrt s.\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 2*o**4 + o**3.\nAnswer: o**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37\/9 (b) 7 (c) -2 (d) 18\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 6*m + 15. Let t = 36 - 29. Let i be a(t). Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23998 - 23605. Calculate the least common multiple of 309 and z.\nAnswer: 40479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244822811 take away -272474.7?\nAnswer: -244550336.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 137*t + 177)*(-4 + 2 - 1).\nAnswer: 411*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 2*d**2 + 2*d - 3. Let g be s(-3). Suppose 0 = -4*c + 2*c + g. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1080981 + 9248153\/129717720. Calculate the common denominator of -64\/99 and g.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24182135*q**5 - 4*q**2 - 30610555*q + 1.\nAnswer: 1450928100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9 - 6. Suppose 4*o + 9*s - 30 = 11*s, -4*o - d*s + 35 = 0. Solve o*p = 13*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 29*s**2 - 30*s + 54. Calculate the smallest common multiple of a(-30) and 114.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10911 = -3*u + 5*d, 0 = 103*d - 100*d - 9. Let k = -2426 - u. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4236, 5202, 6164, 7122, 8076, 9026, 9972?\nAnswer: 10914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 281125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5194 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74020937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -1831, -2748, -3665, -4582, -5499?\nAnswer: -6416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24023341 (base 5) in base 9?\nAnswer: 365377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 125967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -81\/281683?\nAnswer: -81\/281683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) -2\/7 (c) -1\/6 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 5 + 382*g - 13.\nAnswer: 382*g - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 25. Let m(d) = 11 - 7*d - 28 - 20. Let b be m(-6). Solve q + 2*q - b*f + i = 0, 2*q + 4*f - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 5*q - 6. Let j(d) = d**2 - 6*d. Let h = -7 + 0. Let t(v) = -v - 2. Let o be t(h). Let r be j(o). Give i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4462 - 857. What is the highest common divisor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 554 - -3?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -33. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -3\/2*f**3 - 1\/60*f**5 - 3\/8*f**4 - f**2 + 0*f + 0. List the prime factors of p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-12)*(-6)\/(-4). Let q be 680 + 9*(3 - g). Calculate the greatest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let u(s) = 9*s + 22. Let w(t) = 2*u(t) - 4*v(t). Let k be w(8). Calculate the greatest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*j + 32*j - 43*j in the form m*j + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 196139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851286546?\nAnswer: 2, 3, 11, 269, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 0*s - 792 = 0. Suppose -4*f = l + 114, -f + 3*f + s = 4*l. Round f to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 6*z + 3. Let l be h(-5). Suppose f + l = 3*f. What is the second derivative of -6*r**f + 7*r**4 + r - 5*r + 5*r wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 17*k**2 + 9*k + 9. Suppose 37 = -20*d - 3. Let j = 0 - -3. Let u = 12 - j. Let m(b) = b**3 + 4*b**2 + 2*b + 2. Determine d*v(f) + u*m(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305 - 301. What is the fourth biggest value in -0.4, f, 3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/74750 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*w**4 + 303*w**4 + 340*w**4 + 2*w**2 + (0 + 0 - 2)*(w**4 - 3*w**4 + 6*w**4) to s + j*w + f*w**4 + q*w**3 + c*w**2 and give f.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 106, 751, 1396, 2041?\n\"Answer: 645*q - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + a + 12, a - 54 + 50 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 + 4306160.\nAnswer: 4306159.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 35*k - 143. What is w(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*24\/(-40) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2235, 6566, 13775, 23862, 36827, 52670?\nAnswer: 71391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2117 + 5644. Let l = 2376 + r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 68419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 7 = -17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 15*m**3 + m**2 + 0*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000115505694 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 18 = -n, -4*y - 18 = 5*n - 6*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21636?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n**6 + 0*n**5 + 3\/4*n**4 + 0 + 0*n**3 + 0*n + 29\/210*n**7 + 34*n**2. Find the second derivative of d(u) wrt u.\nAnswer: 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 3*r)*(1 + 3 - 1).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/13 (b) 3 (c) -2\/9 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6088*c**4 + 2438*c**2 + 455378751*c wrt c?\nAnswer: -73056*c**2 + 4876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42297 divided by 14099?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 11*u + 4. Let l be y(-11). Suppose 0 = l*d - 4*o - 40, 49 = 4*d - 2*o + 7*o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-10)*(-8)\/14)\/(20\/350). Calculate the highest common divisor of k and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 201*h**2 + 2265*h - 45. What is u(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58080 and 1442556192.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by -313745.\nAnswer: -652\/313745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, 4, 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*m, 5*u - 753*m + 755*m - 780 = 0. Solve 140 - u = 7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(6050) - (sqrt(50) + sqrt(2450)*-2 + sqrt(2450)))\/(sqrt(90)\/((-1*sqrt(90))\/sqrt(10))).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -7*q - 50. Calculate the greatest common divisor of 180 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose -h - p*d = -0*h - 4, -3*h + 4*d - 8 = 0. Suppose 2*i = 5*j + 14 - 614, h = 5*j - i - 600. What is the highest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150.778 + 0.222. Let t = -150.5 + s. Which is the third biggest value? (a) 0.1 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -3, 87, -8 in decreasing order.\nAnswer: 87, 0, -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than or equal to -804255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0 (c) 2 (d) -549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 39. What is the remainder when r is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1512537 and -97\/18?\nAnswer: 9075222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102221 + -2121?\nAnswer: -12112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 42 = 86. Calculate the remainder when 223 is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 - -452. Suppose -3*u = -5*y + 15, -8*u = -4*u + 20. Suppose 4*n - 5 + 1 = y. Put p, 2, n in increasing order.\nAnswer: n, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 25.69. Let w = c - -3.44. Round w to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 32 - (20 + -14 + 21 + -9).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 14*y - 238 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 + 227*d - 1676. Let n be x(8). Let w(y) = 1571*y**2 + y - 1. Let k be w(1). Let i = k - n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 (base 13) in base 10?\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188180*j + 249779 wrt j.\nAnswer: -188180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437608, -437495, -437308, -437047, -436712?\nAnswer: -436303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443881201?\nAnswer: 53, 61, 251, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -26.3. Let c = 0.3 - p. What is the nearest to c in 5, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 116 = 4*y, -158 = -d - 3*d + 2*y. Suppose 162 = -2*v + d. Let i = v + 104. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5832 + 5960. What is the lowest common multiple of 144 and c?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -138*p**5\/5 + 89*p - 40. Differentiate f(s) wrt s.\nAnswer: -552*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(1 - 1 + 2) - 1 + 1 + 2)*(v**5 - 3 + v**5 + v**5).\nAnswer: -6*v**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 + 42 - 40 - 9*y**3.\nAnswer: -21*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 11*l - 8. Let m = 11 + -19. Let t be u(m). Suppose 62 = 5*r + 2*q, 5*q + t + 16 = 2*r. Solve 3*p = 3, 0 = -0*h + 3*h + 5*p - r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(630)*1 - sqrt(630)*-1*-6)\/((1*sqrt(80))\/sqrt(8) + 1*sqrt(360)))**2.\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.567548 nanometers in meters?\nAnswer: 0.000000002567548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.09 * -145.\nAnswer: -448.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1568))\/sqrt(4) + -2)*3.\nAnswer: -42*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14159378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - l**2 + 1\/2*l**4 - 4 + 3\/2*l**3 = 0. Calculate l.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 115 = -2*t - 2*t, -3*t - y - 70 = 0. Let w be (10\/t)\/(2\/(-10)). Let v be (w + (2 - 3))\/(-1). Which is smaller: -5\/4 or v?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*2)**2 + (sqrt(45)\/(sqrt(9) - sqrt(18)\/sqrt(2) - sqrt(9)))**2 + -6*((sqrt(5) - (sqrt(5) + 1 - sqrt(5)))**2 + 1)*-6.\nAnswer: -72*sqrt(5) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*(-41)\/(-2))\/(-1). Suppose -45*c + 48*c - 22 = 4*x, 3*x = -3*c - 6. Let y(f) = j*f - 5*f - c*f. Let b(g) = -2*g. What is b(y(h))?\nAnswer: -68*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/3320 and 77\/6640.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5280*d**2 + 21146*d**2 - 5288*d**2 - 5286*d**2 - 5292*d**2 - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 5*n)*(-4*n - 4 + 4) + 17*n**2 + 5*n - 5*n + n**2 + 1 - 1 - 2*n.\nAnswer: 38*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -7 + -9 + 16 + -4 + -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p**(-1\/3)*(p**0*p)**(11\/5))\/((p\/p**(3\/7))**(4\/7))**(2\/137) assuming p is positive.\nAnswer: p**(147206\/100695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/5 + -89\/20. Let f = 44\/3 - 15. Let p = -12 - -11.9. Which is the closest to x? (a) f (b) -3\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4 - 4 + 13 + 5.\nAnswer: -4*f + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 913*q**2 - 5*q - 6. Let l be p(-1). Suppose -o - 470 = -2*z, 3*z = -z - 5*o + l. List the prime factors of z.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4809, -38589, -130283, -308847, -603237, -1042409, -1655319?\nAnswer: -2470923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6786\/819 + 18\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*a + 12 = 0, 5*f - 12 = f - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + -0.3. Let g = x + -0.3. Let j = -2 - -3. Is j not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(8800\/(-60)) + (-108)\/1920?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*k = 2*u - 160*k - 7571, 4*u - 15151 = -k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 89*r**2 + 4*r - 2. Let t be n(1). Suppose 89*o + 6398 = t*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/5, 15, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 7*d - 27 = -3*h, -2*d - 28 = -4*h. Let t be (-3 - (2 + d))\/((-1)\/(-2)). Suppose -3*w = -6*w + 15. Put t, w, -0.3, 3\/14 in increasing order.\nAnswer: t, -0.3, 3\/14, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1354893, 5420053, 12195327, 21680721, 33876241, 48781893?\n\"Answer: j**3 + 1355051*j**2 - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(-2*sqrt(1584) + 5) - (sqrt(1584) + 1 + -1 + (sqrt(1584) + -1 + sqrt(1584))*-2)) + -1)**2*3.\nAnswer: -39312*sqrt(11) + 1400130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1081 divided by -195.\nAnswer: -1081\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26193175 to the power of 1\/2, to the nearest integer?\nAnswer: 5118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56998721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/16 + w**3\/4 - 3*w**2\/8 - 6*w. Factor c(i).\nAnswer: -3*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 21. Suppose 145 = -74*l + 145. Solve -k + 1 = g, m = 3*k - l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8767 divided by -1\nAnswer: 8767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 6*t. Let w = t + 3. Sort 0, 5, w.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13454*c - 11683 + 11683 to the form o*c + a and give o.\nAnswer: 13454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + u + 1. Suppose i + 4 = -0. Let z be (-54)\/i + 9\/18. Let s = z - 15. Give m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4303*b**2 + 4806*b wrt b.\nAnswer: 8606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -68. Suppose -264 = -19*j + f*j. Suppose -23 = -4*x + 41. What is the smallest common multiple of x and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3935, 3918, 3901, 3884, 3867?\nAnswer: 3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*k - 3255 + 146*k + 149*k.\nAnswer: 3*k - 3255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - (-141 - (-169652)\/6806)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - -1*1*sqrt(152)) + sqrt(152))\/(sqrt(16)\/sqrt(2)*1))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**2 - 3*i + 2. Let o be b(3). Suppose 4*c + 0 = o. Suppose 2*n = -n + 2*v + 47, -3*n - 2*v = -31. Calculate the remainder when c is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*w + w = 1481, 3*w = p - 389. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -266.657 in 5, -2\/19, 2\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74714402839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.32. Round g to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 43 (b) -1\/7 (c) 2.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38784 - 5532 = -3*r. What are the prime factors of r?\nAnswer: 2, 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 - 189. Let r(p) = -11*p**3 + 6*p**2 + 6*p. Let a(v) = -155*v**3 + 85*v**2 + 85*v. Determine k*a(w) + 85*r(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-555)\/(-370)*(-12)\/222*(-2)\/(-6)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 116649*k + 3 + 116339*k - 1.\nAnswer: -310*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(2)*-1))**2 - (sqrt(11) - -2*sqrt(44))**2.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcchcmhzcmh. Give prob of picking 2 m and 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19540)\/25)\/(34\/10). Let b = j - -147263\/646. Let x = 1960\/17 + -28681\/238. Calculate the common denominator of x and b.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:05 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwsswwwwwwwswww. What is prob of picking 1 w and 3 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c**3*r**3 - 2*c**3*r + 3*c**3 - 1955*c**2*r - c + 4694664*r**2 - 1 wrt r?\nAnswer: -108*c**3*r + 9389328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87281150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/7 - 238454*u**2\/7 + 1015413776*u - 3045934752 = 0.\nAnswer: 3, 59612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbp. Give prob of picking 1 p and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:34 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1108\/45 - 283\/18. Calculate the common denominator of (-4)\/(-22) - (-7413)\/(-9856) and o.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16647124 divided by -898\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 4*k. Let s be b(5). Let y(h) = s*h + h**3 + 3 - 6*h + 0*h**2 + h**2. Let a be y(0). Solve 9 = a*q - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -c - 10, -2*b - 3*b = -4*c + 12. Let z = -149\/1034 - -4\/517. Calculate the common denominator of z and (-2858)\/132 + b\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7910 + -4521. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*a**2 + 3450*a**2 - 1228*a**2 + 4363*a**2.\nAnswer: 5276*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 56.1753.\nAnswer: -56.4753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2 - 4*a + 9. Suppose -5*n - 11 = 9. Let v be w(n). Let m = v - -41. Solve 2*o - m*r + 4 = 0, -8*r + 13 = -5*o - 4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 4*r**3\/3 + 56. Let x(d) = 2*d**2. What is w(x(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 188*k + 190*k + 62 + 62 = 0, -4*k = -8*k - 248 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*l - 7, 19*l = 20*l - 3*f. Let a(x) be the third derivative of -12*x**2 - 1\/80*x**5 - 1\/2*x**l + 1\/8*x**4 + 0*x + 0. Factor a(q).\nAnswer: -3*(q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1224258 from -443797.\nAnswer: -1668055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8723 from 0.1990938132.\nAnswer: 8723.1990938132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2008 is divided by 483.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + a = -o + 6, -o = -3*a - 6. Find the second derivative of 5*k - k**2 + k**2 - 13*k + o*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 47*f + 75. Let k be m(14). Solve 5*j = u + 21, 5*j - k*u - 5 = -0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -12*l + 90. What is the units digit of -9*3\/l*-628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 + 4*t + 14. Let r be f(6). Suppose -72 = -r*k - 10*k. Suppose k = 5*j + 21, 0 = -5*v + 2*j + 151. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 4. Let u(l) = 5*l + 6. Let y(z) = -3*c(z) - 2*u(z). Let i(o) = -15*o. Determine -i(f) + 10*y(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*u**4 + 368*u**2 + 94712 wrt u.\nAnswer: -448*u**3 + 736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656098 and 782?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 399*x - 422*x + 203 + 579. Solve -2*d = 3*t + 10, -5*d - x = 3*t - 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzxz when four letters picked without replacement from {z: 5, h: 9, x: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 843491, 842519, 841549, 840581, 839615, 838651?\n\"Answer: u**2 - 975*u + 844465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose 0 = 6*u - u + 65. Let w = -11 - u. What is the remainder when g is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010001010000 - 10?\nAnswer: -11000010001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 + 5*b**2 + 124. Let o(r) = -2*r**3 + 21*r. Determine -6*o(s) + 13*x(s).\nAnswer: -s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(1*sqrt(6)))\/sqrt(7) + ((sqrt(21)\/(sqrt(28) + sqrt(7)))**2 - -4*-1*sqrt(3)).\nAnswer: -3*sqrt(3) + 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93840 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-740)\/(-7) + 2*1\/7. Let i(q) = -5*q**2 + 0*q**2 - 48*q**2 + a*q**2. Let x(w) = 2*w. Determine i(x(l)).\nAnswer: 212*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/17 (c) -0.096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 + 559790*u**3 + 15666002885*u**2 - 125354894280*u + 250727703120 = 0. Calculate u.\nAnswer: -55983, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*a = 28 - 9, i + 5*a = 15. Find the second derivative of -3*o - i*o**2 - o**5 + 0*o**2 + 5*o**2 wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 359, 336, 295, 230, 135, 4, -169, -390?\n\"Answer: -c**3 - 3*c**2 - 7*c + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 1 + 3*d**2 - 2 - 3*d + d**3 - 2*d in the form n*d**3 + t + b*d**2 + w*d and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*l - 1, 3*l - 1 = -4*k - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64132.\nAnswer: 2, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n - 5*m + 144, -5*m - 71 = -2*n. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:23 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 864b (base 13) in base 2?\nAnswer: 100100011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.62, 0.5, 2?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 + 5*x + 13. Let q be u(7). Let n(b) = 2*b - 5. Let s(l) = -1. Let o(m) = q*n(m) + 6*s(m). Determine o(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*h - 107*h + 194*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1375a3 + 171?\nAnswer: 137734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -623, -1274, -2207, -3434, -4967, -6818, -8999?\nAnswer: -11522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38450 - -54338. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 110*i. Let q(a) = 549*a + 1. Determine -2*q(c) + 11*s(c).\nAnswer: 112*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 12:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 522*z**2 + 90828*z - 5268024.\nAnswer: (z - 174)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -123 - 2 - -1*2. Calculate the common denominator of (18\/(-8))\/(12\/(-15)) and (-4)\/10 - k\/20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504181.19 + 1406.\nAnswer: 505587.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 318058.34 to the nearest one thousand.\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 9*g**2 - 11*g - 1. Let m be c(-8). Suppose 2*y - j = -2*y + 19, -j = 3*y - m. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000756 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149421 is divided by 104?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/5668 and 145\/312.\nAnswer: 34008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h - h + (-59*h - 29*h + 9*h)*(2 + 2 - 2) - h + 0*h - h)*(-1 + 1 + 2).\nAnswer: -326*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 8. Suppose 0 = 2*p + 2 - 8. Suppose 5*h = p*c - 62, h + 8 = 2*c + 6*h. Calculate the least common multiple of a and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 82*v + 67*v - 518814. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*x - 4*c, -2*x + c + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34187010 to the nearest integer?\nAnswer: 5847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**2)\/g)**(3\/11)*(g\/(g\/(g\/((g*g**(-1\/3))\/g)*g)))**(1\/24) assuming g is positive.\nAnswer: g**(-355\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -21. Let t(u) be the third derivative of 1\/150*u**5 + 0 + 2\/75*u**6 + 1\/105*u**7 + 0*u + p*u**3 - 1\/30*u**4 - u**2. Factor t(q).\nAnswer: 2*q*(q + 1)**2*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(2*q**3 - 8*q**3 + 2*q**3)*(0 + 4*q - 2*q + 1).\nAnswer: 16*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*p + 500*p = 0. Solve 5*c - 4*x = p, -x - x = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12\/(o*((o**(-37)\/o)\/o)\/o))**49)**(-1\/81) assuming o is positive.\nAnswer: o**(-833\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/3 + 5776*p**3\/3 + 673544*p**2 - 46571888*p\/3 + 260047876\/3.\nAnswer: 4*(p - 11)**2*(p + 733)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 218*a - 20. Let t(z) = 2*z**2 - 215*z + 28. Calculate 4*f(l) + 3*t(l).\nAnswer: 2*l**2 + 227*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - 15 = 0. Suppose 3*z + 0*d = 4*d - 8, 3*z + 10 = 5*d. Solve z = -n - 0 - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b**2 - b. Give n(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 0, -4 = -4*w - 53*c + 57*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155342311 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -37, -0.4, -3 in increasing order.\nAnswer: -37, -3, -0.4, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115437272 a multiple of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let h(q) = 150*q - 3. What is h(z(c))?\nAnswer: -150*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g + 89 - 332 = -145 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 181970 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4146 - 2105 - 435*o - 2041.\nAnswer: -435*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175609*g - 351099*g + 175557*g.\nAnswer: 67*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j - 13. Let v(a) = 4*a + 12. Let x(l) = 3*o(l) + 4*v(l). Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9819 divided by -1091?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 26*k = 0. Solve k = -13*v + 28 + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 9. Let s be x(3). Suppose 15 + s = 2*d. Suppose d*b = 13*b + 16. Let v(l) = -5*l + 2. Let w(o) = -o + 1. Determine b*w(u) + v(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9183*g - 2 - 9175*g + 2.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7492 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 g(z) = -z**3 - 90*z**2 - 169*z + 645. Let y be g(-88). Let m = 779 + -315. What is the greatest common factor of y and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4\/5 + 546*l**3\/5 + 108*l**2 - 1088*l\/5 = 0. What is l?\nAnswer: -272, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(4\/15))**(-33)*(z*z\/z**2)**(-5)\/(z\/((z\/z**(-2\/9))\/z)*z)**(12\/5) assuming z is positive.\nAnswer: z**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -2 (c) 1 (d) 0.3 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1672 + -1659. Is t >= 11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969068090?\nAnswer: 2, 5, 47, 2061847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 1166*s - 94284.\nAnswer: -2*(s + 97)*(s + 486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212201000 - -2022?\nAnswer: 1212210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = -28*j - 1278. Let w be 4\/12 - 362\/6. Are j and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y + 3*i + 260, -35*y + 38*y + 0*i + 90 = 3*i for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 732008*c - 14640165. Determine r(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1556, 3070, 4576, 6068, 7540, 8986, 10400?\n\"Answer: -j**3 + 2*j**2 + 1515*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 38*s**2 + 2*s + 4. Let z be k(6). Let c(g) = -30*g + 473. Let p be c(38). Let w = z + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - 4*s)*(1 + 1 - 4).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0 + 0)*(17*a**2 - 13*a**2 - 16*a**2) + (-1 + a**3 + 1)*(-28 - 22*a**2 + 28) - 4*a**4 - a**3 - 2*a**5 + 4*a**4.\nAnswer: -12*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 33, 49, 63?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77\/846 - 14\/47. Let u = a + 11\/18. Factor 0 + 4\/9*t - u*t**2.\nAnswer: -2*t*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -21*n**3 + 5*n. Let i(j) = -31*j**3 + 7*j. Let l(v) = -8*a(v) + 5*i(v). Find the second derivative of l(z) wrt z.\nAnswer: 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let h be -2 + ((-16)\/(-10))\/((-14)\/(-35)). Solve 1 = b*u - h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 15, 28, 45, 66, 91?\n\"Answer: 2*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44711*b**4 - 40769*b?\nAnswer: -536532*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7012.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2932 = 2*r, -6*o - 1478 = -r - 4*o. Is 105 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 - 2*t**2 - 2*t - 3*t**2 + 2*t**2 + 2*t**2. Let c(z) = -z**3 - z**2 - 3*z + 3. What is -2*c(i) + 3*d(i)?\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 51185055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/42 + 651920\/840.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:29 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -45. Let a = 44.9999948 + g. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*u - 152*u - 165*u - 189*u to m + t*u and give t.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2\/3*t**4 - 8\/3*t**3 + 1\/3*t**5 + 16\/3*t**2 - 32\/3 + 16\/3*t = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45334899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 109. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/15 + 238*v**2\/5 - 4456*v\/3 + 13896\/5 = 0. What is v?\nAnswer: -386, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46*0.06871386\nAnswer: 3.16083756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 3*t + 29. Is 11 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 1. Let a(c) = 3*c**2 - 3*c + 4. Let f(r) = -a(r) - 4*v(r). Let s be f(-4). Let t = s + 2. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/15)\/l)*l\/(l\/(l\/l**1))*l)**(-1\/68)*((l*l\/(l\/l**(-3\/4)))\/(l\/(l\/l**(-4))*l))\/((l*l*l\/(l*l**(-4)))\/(l*l\/l**4)) assuming l is positive.\nAnswer: l**(-1222\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2. Let f = -6 + 10. Suppose -2*g + 383 = 5*c, -2*g + f*c - 5*c = -371. Let i(q) = 4*q + g - 184. Give i(d(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984 is divided by 1978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(637) - (sqrt(637) + 1))**2 - sqrt(637)) + 5) - (4*sqrt(637)*1 + -5).\nAnswer: -7*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8557*z = -8555*z - 4*x + 10, 5*x + 1 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:29 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.38 - 7.38. What is the nearest to s in -0.5, 2, -2\/7, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/(-12))\/(3\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -3, 2, 1 in increasing order.\nAnswer: -52, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from cjbpjcpscwppccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7508000 to the nearest one hundred thousand.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32)\/((-86)\/16 - -6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -1, 52, 4, -3 in descending order.\nAnswer: 52, 6, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 22 - 1 = 3*s, -13*w + 3*w + 4*s = 96 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 57 = -149. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -661138 > -661138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:44 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*p + 309, 3*c + 4*p - p - 477 = 0. Suppose 4*k - 18 - 158 = 0. Suppose 28 + k = 4*x. What is the highest common divisor of x and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1074, 1056, 1018, 954, 858, 724, 546, 318?\n\"Answer: -d**3 - 4*d**2 + d + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 1. Let r(c) = 3*c**3 + 5*c**2 + 10*c - 7. What is 5*i(x) + r(x)?\nAnswer: -2*x**3 + 10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 4*h - 9, 5*l + 16*h - 13*h - 24 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 1, d: 2, s: 1, m: 2, t: 2}. Give prob of sequence id.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -12 - (4 + -1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = 8. Let w = 0 - k. Solve -w*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1836, -4954, -8072, -11190?\n\"Answer: -3118*y + 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 11*j**2 - 16*j + 14. Let f be m(-9). Let i(k) be the second derivative of k**5\/20 + k**4\/2 + k**3\/6 + 3*k**2\/2 + 17*k + 1. Determine i(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 12) to base 9\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**2 - 38*y**2 - 83*y**3 + 20*y**2 to the form d*y + v*y**3 + t + k*y**2 and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:03 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 24*m**2 - 219*m + 72. What is the least common multiple of 130 and a(31)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 47. Suppose -s = -3*f + 8. Suppose 0 = -5*w + f, 3*a + 3*w - 65 = 2704. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5612 + 1942*q**2 - 5612 to the form s*q**2 + x + f*q and give s.\nAnswer: 1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615235, -1230413, -1845585, -2460751, -3075911?\nAnswer: -3691065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310 (base 4) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/15 and 68\/2715.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 13502718\nAnswer: -13502714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -29*q + 40 + 73*q - 38*q. Let d be y(-23). Let b = -57 - d. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26598515 and 11601?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-11 - -6 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1794)\/1495*((-10)\/(-39))\/1)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/7 (b) 0.5 (c) 0.4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 80. Let p be (0 - (1 + 2 - -15)) + 3. Calculate the remainder when 174 is divided by g(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((-1*sqrt(648))**2 + sqrt(648) - sqrt(648)) + -1) - ((sqrt(648) + -2*(sqrt(648) + 1 + sqrt(648)))**2 + (sqrt(648) - (1 + sqrt(648)*-2))**2)) + 2.\nAnswer: -13608 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2057) + 1 - sqrt(2057)))**2 + sqrt(2057))*1 + 0 + (-3*sqrt(1088)*-3)**2.\nAnswer: 11*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288366481248 - -0.1.\nAnswer: 288366481248.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**7\/1260 - p**5\/120 - p**4\/12 + p. Let k(z) be the third derivative of m(z). What is the derivative of k(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1849416799.872 from -0.083.\nAnswer: -1849416799.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, f: 5, z: 2}. What is prob of picking 2 s and 1 f?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*p + 7*p. Differentiate 1 + 0*n**p - n**2 + 2 with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-873)\/(-15)*6\/18. Is 18 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42077, -168281, -378611, -673061, -1051625?\n\"Answer: v**3 - 42069*v**2 - 4*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - 30*r + 8*r - 3)*(r**2 - r**2 + r**2 + (3 + 0 - 2)*(0*r**2 + 2*r**2 + 0*r**2))*(-r + 4*r - 2*r).\nAnswer: -30*r**4 - 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -161*z**2 - 963. Let a(r) = -8*r**2. Determine d(a(x)).\nAnswer: 2576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14032 - 14027. What is the closest to -0.02 in z, -8, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o + 5*i, -4*i + 6*i = -o + 1. Let b(d) be the third derivative of 0 + 2*d**4 - 4*d**2 + 2*d**o + 7\/20*d**5 + 0*d. Factor b(r).\nAnswer: 3*(r + 2)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233033 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 22. What is the common denominator of ((-12)\/q)\/(8\/(-25)) and 115\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-844)\/6)\/(16\/(-24))?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*q - 194*q + 5*c - 2 = 0, 4*q = -c - 11. Let u(y) = -2*y**3 + 3 + 0 - 2. Is u(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2*d - 1. Let k(m) = 109*m**2 - 6*m - 4. Give -2*k(c) + 6*z(c).\nAnswer: -212*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1181\/223?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065*k = 1037*k + 5*i + 56, -3*k - 4*i + 2*i + 4*i + 47 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1302 and 23982.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -244525, -488926, -733329, -977734?\n\"Answer: -p**2 - 244398*p - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 27*u**2 - 253*u - 2675. What is t(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94980 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y**2 - 5*y + 5. Let i be f(2). Let w(g) = 2*g**2 + 8*g - 3. Let n be w(-8). Let t = i + n. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 409 = -2*m - 175, -3*g + 339 = -5*m. Suppose 6*l - 122 = 2*l + 2*z, -4*l - 2*z = -g. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t**2 + t. Determine o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 - b**4 - 9 - 8*b**4 + 9 + (b**3 - b**3 + 2*b**3)*(0*b - 2*b + b).\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*f - 19*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7448409 divided by -3779\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z + z**2 + 7*z - 20*z + 3 + 8*z. Let q(p) = p**2 - 8*p + 3. Let m be q(7). Calculate j(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261851 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*n + 30820 = -55*n + 695 - 6451 for n.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c**2 - 28*c + 14. Let y(l) = 7*l**2 - 10*l + 5. Give -3*s(a) + 8*y(a).\nAnswer: -7*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + -25. Let l = k - -62. Suppose l = 3*x + z - 158 - 274, 5*x = 4*z + 720. 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: Multiply 0.434 and 37.7.\nAnswer: 16.3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-1) - 6\/3. Suppose -1 + w = u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 7*c**2 + c + 3*c**3 + 6*c - 4. Let p(q) = -q**2 - 6*q - 2. Let h be p(-4). What is l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (2 + sqrt(475))**2*-2) + sqrt(475) + 3 + 5 + -3.\nAnswer: 50*sqrt(19) + 963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 30 + 550*b + 182*b.\nAnswer: 732*b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -m - 20*n + 15*n, 114 = -m - 13*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivvvvvviv. Give prob of sequence viv.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*a**3*d - 5*a**2*d - 39173*a**2 + 50736092*d - 2 with respect to a.\nAnswer: -135*a**2*d - 10*a*d - 78346*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -5*m + 0*m**4 + 15\/14*m**7 + 1 + 0*m**5 + 0*m**2 + 0*m**6 + 33\/2*m**3. Find the second derivative of d(u) wrt u.\nAnswer: 900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -1338, 0, 11, -10.\nAnswer: -1338, -10, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5504.4*11.\nAnswer: -60548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -374869.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -801921 - 127122. Let z = i + 928194.762. Let k = z - -849. What is k rounded to two dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519, 1817, 2109, 2395, 2675?\nAnswer: 2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239\/4 + 60. Which is the third smallest value? (a) -1.2 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072265629 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 34. Let y be (-1)\/12 - 47334\/(-11592). Which is the closest to -0.1? (a) 1 (b) z (c) -3\/4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 10101?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -38140, -13\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/35))\/u)**15 assuming u is positive.\nAnswer: u**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 1. Let j(m) = m**3 - 2*m**2 - 2. Calculate -j(h) - 2*v(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - 1) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f - 3. Let o be j(3). Suppose o = -6*u + u. Let y be (6\/40)\/(2\/(-16)). Is y at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let o be 16\/6 + 4\/(-6). Suppose l - o*l = 0. Put t, l, 5 in decreasing order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -562, 4 in decreasing order.\nAnswer: 4, -2\/9, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2 + 2)**2 + 3.\nAnswer: 80*sqrt(5) + 2007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133220, 132712, 132204, 131696, 131188?\n\"Answer: -508*k + 133728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 2, -3, -5, -2, -10.\nAnswer: -10, -5, -3, -2, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 35\/15)*-6 - -34. Suppose 3*d + 21 - u = 0. Solve q + 6 = -y + 3*q, d*q - 12 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573365387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y = 104*y + 270 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107760326*i**5*k - i**3*k - i**2*k - 3*i*k - i - 30*k + 417 wrt i?\nAnswer: 6465619560*i**2*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149394 and 12?\nAnswer: 298788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 a factor of 1671044755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.5414.\nAnswer: -1.0414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-15)*1\/(-4))\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28870.093 + 28889. What is m rounded to one dp?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20232330112 (base 4) to base 3.\nAnswer: 11022022111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 + 4*t - 1. Let z = -47 + 53. Determine x(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16539766 + 9339766. What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81103853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 550811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276226 (base 8) to base 11.\nAnswer: 67223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**2 + 109*u - 109*u + (9 - 2 - 4)*(0*u - u + 2*u)*(2*u - 3 + 3).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 1. Let z = s + 52. Suppose 4*r = 8, -4*k + 5*k - 5*r - 7 = 0. What is the remainder when z is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-76)\/16)\/19 - 255\/(-1100))\/(114\/(-95)).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -54?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3 - 11729182*i**2 + 70375030*i - 58645850 = 0.\nAnswer: 1, 5, 5864585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -90, 3, 5 in increasing order.\nAnswer: -90, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444 - -12044?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/66 + 139*i**3\/33 - 408*i**2\/11 - 3887*i. Factor o(d).\nAnswer: -2*(d - 136)*(d - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*s + 35801 = -12929 for s.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/11 + 1360\/4675. Let -1\/5*y + 1\/5 - 1\/5*y**2 + z*y**3 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 85 - 3*l + 282 - 14*l**3.\nAnswer: -14*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 11*q**2 + 6*q + 74. Give k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3667 + -1988. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*w**3 + 2*w**2 + 46*w wrt w.\nAnswer: -450*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1441, -1380, -1297, -1192, -1065, -916?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 92.53. Let p = 0.13 + q. Which is the third biggest value? (a) -2\/15 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b91 - 474?\nAnswer: -5335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*c = 15, 68*j - c = 66*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10*b + 8. Give h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -845, -1266, -1689?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 636373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*m**2 - 17*m**4 - 84*m**2 + (m**3 + 3*m**3 - 3*m**3)*(3*m - 6*m + 4*m) in the form i*m**4 + n*m + x*m**2 + w*m**3 + h and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 8:16 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 28*o - 192. Let d be j(-13). Solve 0*x - d*p = -4*x - 1, -5*x - p = 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 30*q + 20. Determine m(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h + 41. Let x be y(13). Suppose 0 = -z - 2*k + x, -z + 70 = 3*k - 36. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*d + 8 - 35, -4*n - 5*d - 19 = 0. Let v be 632\/n*(-3)\/2. Let o = v + -61. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/42)\/(11\/(-33)))\/((-2)\/(-32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)\/u**(2\/3)*(u\/(u\/(u\/u**3)))\/(((u**12*u)\/u)\/u))**(-1\/5) assuming u is positive.\nAnswer: u**(211\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -6*r**2 + 2*r**2 - 6*r**2 + 5 - 2*r - r**2. Let a be x(-3). Calculate the greatest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 6*l = -55*l - 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (64 - 5)\/(3 + -134 - 2) and 37\/19?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 0*j**3)*(3*j**2 - 5*j + 5*j).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129 (base 10) to base 4.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4 + 3 - 5)*(167*i + 470*i + 104*i)*(-1 + 2 - 3).\nAnswer: -2964*i**2 - 2964*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose k*s = -4*p + 152 + 54, 4*p + 127 = s. Is 37 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 74\/4. Let a = 58\/5 + -21349\/1840. Let x = a - -745\/3312. What is the closest to 0 in i, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/126 + (-4)\/14. Solve 5*v = 5*t - w*t + 5, 0 = 2*v + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 4, t: 2}. Give prob of sequence tz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14050652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lala when four letters picked without replacement from {l: 7, a: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**3 - 54*x + 54*x.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -k, 7*u - 5*k - 6 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-9) - 236652\/(-97416)) + 6\/(-4).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.6 - 331.15705949.\nAnswer: -286.55705949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {w: 2, u: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62517\/9 + 12\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(24) + (sqrt(192)*2)\/sqrt(8)))\/(sqrt(84)\/(sqrt(700) + 2*sqrt(700) + sqrt(700))).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - (-176)\/22)*3\/(-27). What is the second biggest value in -0.03, o, -5, 5, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 8*q. Let k = 5 + -8. Let m(a) = 7*a**2 - 15*a. Let j(s) = k*m(s) - 5*w(s). What is j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 2*y**2 + 8*y - 13. Let g(o) = o**3 - o**2 + o. Let r(p) = -c(p) + 5*g(p). List the prime factors of r(3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 2, 1.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 9\/4, -1\/11, -58, 0.4, -1 in decreasing order.\nAnswer: 9\/4, 0.4, -1\/11, -1, -20, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 7*d**2 - d + 11. Let p be c(6). Let m = 48 - p. Solve i - m = -5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 0 + 5 - (-7 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2084 + 2077.197. What is m rounded to 1 decimal place?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2784224 in descending order.\nAnswer: 2784224, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 10*g**2 + 1. What is the remainder when 5 is divided by n(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuufvvfvuufuuuuu. Give prob of picking 2 u, 1 f, and 1 v.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 13*z**2 - 30*z + 20. Let t = 6 + -2. Suppose -76 = -t*w + 2*w. Calculate the remainder when w is divided by i(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116391037?\nAnswer: 7, 2333, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2044568, -2044571, -2044584, -2044613, -2044664, -2044743, -2044856?\nAnswer: -2045009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2011 - 1921. What is the lowest common multiple of r and 93?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) - -3*(sqrt(68) - (sqrt(68) + 2*sqrt(68))))\/(sqrt(144)*1).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002342 (base 7) to base 5.\nAnswer: 202340111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4009 by 4009.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147)*-5)**2 + -4 + sqrt(21)\/(-2*sqrt(7)) - (-5 + ((1*2*sqrt(15))\/((sqrt(320) - (sqrt(320) - sqrt(320)*1)) + sqrt(320)))**2).\nAnswer: -sqrt(3)\/2 + 940861\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -3 (c) 0 (d) -2 (e) 3\/5 (f) -1089 (g) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5242738?\nAnswer: 2, 2621369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) 0 (c) -0.5 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 + 4.91. Let b = -23.6 + 19. Let f = t + b. What is the third smallest value in 5, -1\/6, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 + 25 = 0. Let c(s) = -12*s + 17*s**2 - s**3 + 6 + 12 - 31*s**2. Let h be c(-13). Is h >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -665662 + -724338. What is a rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-54)\/8)\/(9\/(-6)))\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 99804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11685 + 2)*(-20 - -19). What is the hundreds digit of j\/35 + (-8)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6798 and -4\/19300655.\nAnswer: 115803930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*o - l = 573*o - 2*l + 32, -2*o - 504*l + 507*l = -54 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6709.742739 plus -4011?\nAnswer: -10720.742739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -2*i - 0*i, -2*i - 2*l = -16. Solve i*o = 4 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a + 16*a + 4. Suppose 0 = -a*i + 15*i - 6941. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 370. Let x = h + 310.0201. What is x rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15181, -15226, -15291, -15370, -15457, -15546?\n\"Answer: y**3 - 16*y**2 - 4*y - 15162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(165\/10)*(2 + -8). Solve -t*y - 15 = 3*x, 15*x = 19*x - 5*y + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -20) + 0 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, 0.04, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3277 + -2484. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236481 or 236468?\nAnswer: 236468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/(c\/(((c**6\/c*c)\/c*c*c)\/c))*(c**0\/c)\/c*c\/c**5*c*c**(-2\/13)*(c\/((c\/c**7)\/c)*c)\/c*((c\/c**2)\/c*c)**(-1\/52) assuming c is positive.\nAnswer: c**(97\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1196, 4802, 10826, 19274, 30152, 43466, 59222, 77426?\nAnswer: 98084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 507001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + d + 4*d - 23, y - 3*d + 11 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -46, -60, -80, -106, -138?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92241681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = j - 27, j = 5*t + 5*j - 20. Solve 5*k + 1 = 4*r - 19, 5*r = -2*k - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 49. Suppose -5*l + 10 = 3*v, -2*v = 2*l - 1 - 3. Suppose -3*z + c + 12 = v. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17d + -100?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {c: 1, s: 2, p: 2, g: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -2\/19, -1469\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -18, -25 in decreasing order.\nAnswer: 25, -18, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - q)*(-2*q + 0*q + q)*(0 + 2 + 0)*(2 - 2*q - 2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -7*y**5\/4 - y**4\/12 + y**3\/6 + y**2\/2 + y. Let d = -2 + 1. Is t(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-1520480)\/(-663) + (-10)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j)\/(j\/j**(-1\/5)*j)*(j*j*j**(-1\/3))**11 assuming j is positive.\nAnswer: j**(197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(((-99)\/6468)\/((-15)\/40))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvv when four letters picked without replacement from {y: 1, j: 1, v: 4, t: 1, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56606843 is divided by 8086691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20425493 and 98413739.\nAnswer: 1082551129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14+276\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -964 or -8687\/9?\nAnswer: -8687\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443530 rounded to the nearest 10000?\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 - 7 = -3*k, 5*k = 2*r. Solve -5*u - 11 = 3*g, -3*u - 11 = -k*g + 6*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 47*b**2 + 25*b - 14. Let w(j) = j**3 + 71*j**2 + 38*j - 22. Give 11*q(o) - 7*w(o).\nAnswer: 4*o**3 + 20*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351530.\nAnswer: 2, 5, 35153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -5*r. Let u(t) = 3*t - 5*t + 0 + r. Let j(a) = 4*a - 7. Give -2*j(z) - 5*u(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 227*c + 229. Let m be a(-1). Let q = 11 - 3. Suppose m*o - 220 = -q*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 3*s = -2*s - 4*s + 84 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.3 and 38.975.\nAnswer: 713.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27640 - -27639.65356. Round c to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Let o(w) = -7 + 15 + 23*w - 10 - 15*w - 13. Let l(s) = s - 2. Let q(u) = 14*l(u) - 2*o(u). Give z(q(v)).\nAnswer: 8*v**2 - 16*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 232772859 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208 + -133. Suppose j = 4*z + z. List the prime factors of 159\/z - 3\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49947, 99880, 149813?\n\"Answer: 49933*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23955157.5*5\nAnswer: -119775787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - (-7)\/3. Suppose -3*f + 4*m = -25, -5*f + 34 = -4*m + h. Let w = 13870 + -13868. Solve -f*v - 3*s - 10 = 2*s, -w*v + 2*s = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11416737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 12*d + 9 - 10*d)*(6*d - d - d) to the form h + n*d + t*d**2 and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3)\/(-6)*2. Let h = -81 - -128. Calculate the remainder when h is divided by 468\/13*((-4)\/(-6))\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, p: 5}. What is prob of picking 4 j?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*p + 3 = 6, 0 = 5*u - 3*p. Let t = -56 + 60. Suppose 4 = t*i - 2*i. Solve u*z = -4 - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w**2 + 11*w**2 + 5*w**2)*(0 - 2 + 1 + (-4 + 3 - 1)*(-2 + 0 + 0))*((3 + 4 - 2)*(1 - 1 + 1) + (-2 + 6 + 3)*(-1 + 3 - 3)*(-2 + 8 - 5)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3177*l**4 + 4*l**2 + 109*l + 2.\nAnswer: -76248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(77*n**3 - 77*n**3 + 30*n**4).\nAnswer: 60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4610*o**2 + 1181*o**2 + 21182*o**2 + 26286*o**2.\nAnswer: 53259*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/7))\/((j*j\/j**(-12))\/j))\/(j*j**3)**6 assuming j is positive.\nAnswer: j**(-249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let c be b(-3). Suppose 0*p - c = p, 0 = 4*v + 2*p - 8. Suppose 32 + 1 = v*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 1 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 2. What is n(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1200448290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384981 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10630620 divided by -385?\nAnswer: -27612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1553088679, 1553088681, 1553088683, 1553088685?\n\"Answer: 2*q + 1553088677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 168 = 0. Suppose 2*y - 168 = -3*d, -4*d + 5*y + 168 = -d. Suppose d = -b + 3*b. Calculate the highest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + o**3 + 16*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-45) - ((-18)\/(-135) + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -39 + 21 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7566\/(-150384))\/97)\/((-1)\/16).\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9.9. Let b be (4\/(-6))\/(33\/(-9)). What is the nearest to x in 4, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let t be -2*((-37)\/(-74))\/((-2)\/18). Let l(i) = -38*i - t*i - 20*i + 1 - 2*i. Give g(l(d)).\nAnswer: -69*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (0 + (-2)\/(-8)). Let d be 5\/(5\/4) + -1. Let y = -0.34 - -0.24. Which is the closest to y? (a) -0.3 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/3)\/((m\/m**(-1\/28))\/m))\/(m**10*m)**(-1\/11) assuming m is positive.\nAnswer: m**(-143\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aripawrpvaraa. What is prob of sequence vr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1661\/10, 0.2, 34 in decreasing order.\nAnswer: 34, 0.2, -1661\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**4 - 31*n**3 + 75*n**2 - 52*n + 11. Let b(i) = -3*i**4 + 11*i**3 - 25*i**2 + 17*i - 4. Let p(c) = 11*b(c) + 4*k(c). Factor p(j).\nAnswer: -j*(j - 3)*(j - 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sttn when four letters picked without replacement from {s: 1, t: 3, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 65*z - 29*z - 9.\nAnswer: 36*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2517 = -8*i + 3561 + 194. Calculate the greatest common factor of 48 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Let n = 4 - 2. Suppose o + n*g = -g + 29, -17 = -o + s*g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/7)*p\/(p*p**(2\/3)))**(-2\/17))**22 assuming p is positive.\nAnswer: p**(88\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -18, -x + 0*j + 70 = j + 61 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 + 366. What is the hundreds digit of 176*(5 + l\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 258 = 222. Let b be 3 - -32*h\/60. What is the smallest value in -3\/7, 0, b, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one sixths of a day?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.21 + -1.81. Let a = 20 - u. Do a and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -93, -205, -405, -723, -1189, -1833?\n\"Answer: -5*q**3 + q**2 - 22*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1047 - -1049. Solve 3*x + 15 = -5*l - 4, -a*x = 4*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 6. Let k be n(-6). Let q be -4 - 11\/(55\/(-140)). Suppose -8*p = -0*p - q. Solve k + 6 = p*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -4\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2728*k + 2649*k - 577 - 371 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1785*j + 21*j**2 - 1 + 2*j**2 + 1785*j in the form i*j**2 + f*j + t and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2703 and 12?\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10355052 (base 6) in base 3?\nAnswer: -120210102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25218362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Suppose -4*h - h = 40. Let p be (1 - 0) + h + 5. What is z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 202? (a) 0 (b) 2872 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b)\/b**(-1\/21)*b**0\/b**(-1\/10) assuming b is positive.\nAnswer: b**(-1229\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30415, 61001, 91591, 122185, 152783, 183385, 213991?\nAnswer: 244601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 0*a + 0*a. Let y = 11 + -7. Let g(l) = 2*l - 2*l - y*l + 0*l. Determine g(t(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -715, -5511, -18529, -43879, -85671, -148015?\n\"Answer: -685*h**3 - h**2 + 2*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8982405 by 13113.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3, -1, -10, 171.\nAnswer: -10, -1, 3, 28, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*d*n**2*q**2 + d*q**3 - 13*n**2*q + 2*n*q**3 wrt d?\nAnswer: 14*n**2*q**2 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 11. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335727334665 - 8.\nAnswer: -335727334673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 201, 284, 365, 444?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/13 (b) 0.2 (c) -2\/23 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 2096?\nAnswer: 14672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 7. Let w be s(-6). Let g = 0.42 + -3.42. Let j = -7 - g. What is the second smallest value in -2, j, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.06?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 1. Let d = 0.2 + 1.8. What is the second smallest value in d, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 11*i - 4, 3*t + 5*i = 212138. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 333*i + 40*i - 11*i + (i + 2*i - 5*i)*(0 - 2 + 0).\nAnswer: 366*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*d + 476 - 476 + (-1 - 1 + 0)*(-3*d - 2*d + 6*d) - 2*d + 4*d - 3*d.\nAnswer: -62*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-8))\/(d\/(d*d\/(d*d**(-13))))*d*d**(-1\/8)*d\/d**(3\/5) assuming d is positive.\nAnswer: d**(931\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -x - 14 + 40, -3*x - 5*s + 28 = 0. Let l(u) be the first derivative of -1 + 0*u + 1\/2*u**2. Calculate l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52240111 - -3?\nAnswer: 52240114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 15. Solve f = -3*o + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 139*o**2 + 11 + 143*o**2 - 17)*(-3 - 4 - 9) to k + r*o**2 + d*o and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 604388 and 280?\nAnswer: 42307160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75) + -1)**2 + sqrt(75) - sqrt(30)\/(sqrt(10) + sqrt(100)\/(sqrt(30)\/sqrt(3))).\nAnswer: -51*sqrt(3)\/2 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 12. Let j be p(-17). Let z = j + -8. What is the units digit of (z + -2 + 6)*26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*d = -55, -5845*t + 2*d + 26 = -5841*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 52 + 25 + 23 - 5*h + 16*h**2. What is the hundreds digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l - 14*l + 29*l - 43. Let n be s(-18). Which is the second smallest value? (a) n (b) 3 (c) 2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 27*v + 21557. What is q(62)?\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 2845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183488 greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.4 - -11.40000062. Round q to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 2*z**2 + 5*z + 4. What is the lowest common multiple of 16 and h(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5472)\/9)\/(-38)*2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 - 6*y - 2. Suppose -12*p + 25*p = -13. Let n be i(p). Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 2. Let u(m) = -3*m + 1. Let y(h) = -5*q(h) - 8*u(h). Suppose 2*t = 3*t. What is the units digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328132347 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/630 + 7*o**6\/60 - 7*o**4\/8 + o**3\/6 - 88*o**2. Let a(u) be the second derivative of b(u). Suppose a(i) = 0. What is i?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8963 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 552*r - 43. Let g be i(8). Let p = -1080 + g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*x + 35 = -k, 2*x = -3*k + 7. Suppose t = -0*t + 534. Suppose -t = 2*p - k*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:10 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68997 + -23735023\/344. What is the common denominator of -8\/43 and a?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-221)\/51 + 2)*(-4)\/(-42).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.1 (b) 0.6 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124345 is divided by 123591?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 387943925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 2 d when four letters picked without replacement from {s: 3, d: 4, x: 1, e: 1, p: 5, n: 3}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in -3, -4, -1\/2, 7, -2\/313?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3\/3 - 268855*v**2\/3 - 3626619875*v\/3 - 111651447755.\nAnswer: -5*(v + 93)*(v + 26839)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 23*i + 25. Let x be d(22). Let j = -45 + x. Find the second derivative of 93*m - 7*m**j - m**2 - 85*m wrt m.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1909620424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232\/605 - -79429\/91960. Find the common denominator of b and 63\/988.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 + 265. Solve 5*o + w = 106 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*(d**(3\/2)*d)\/d))*d**(-4\/3))\/(d**(2\/13))**(-5) assuming d is positive.\nAnswer: d**(151\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:44 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -3*s**4\/32 + s**3\/8 + 3*s**2\/16 - 3*s\/8 - 22. Solve v(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1328493667 - -2?\nAnswer: -1328493665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 - 268173 = -94*m. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*g**(-2\/9)*g)*g))**32\/(g**(-29)*g\/(g**7\/g)*g))**(-23) assuming g is positive.\nAnswer: g**(-5359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -41890994.4+0.3\nAnswer: -41890994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3 + -2 + ((2 + sqrt(11))*3 + sqrt(11))**2)*3.\nAnswer: 135*sqrt(11) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1261, 8\/85?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 3*n + 2. Let u be d(2). Let g = 12 - u. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11192.\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 27 = 2*p + 5*a, 2*p - 12 = -2*a. Let t(l) = l**3 - 3*l**2 - p + 1 + 23*l - 20*l. Let q be t(2). Solve -q = -c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/2261)\/((-810)\/459).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 344820806*b**6*p - 5*b**2*p - b**2 + 455*b*p + b + 12*p - 3 wrt b.\nAnswer: 41378496720*b**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435 + 444. Suppose 5*p + s - 107 = 0, -2*p + 2*s + 37 + 13 = 0. What is the remainder when p is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1282.986 years?\nAnswer: 128.2986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, -3*f - 2*r = -126 - 139. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017205 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - l + 1. Let q(i) = i**3 + 7*i**2 - 5*i + 3. Let c(d) = -q(d) - 4*s(d). Let z be c(-7). What is the highest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -0.62. Let a = -175\/2 + 86. Sort a, 1\/4, m in ascending order.\nAnswer: a, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 132*q**2 - 132*q**2 + 19330*q**3 - 19307*q**3 + 4*q.\nAnswer: 23*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3772 divided by 8\nAnswer: -943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16555 + 14525 = 105*w + 6*w. Let f = -35 - -49. Calculate the greatest common divisor of w and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226.2 - -226.6. What is the nearest to t in -1\/2, 38, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 3*h**3 - h**3 + 2 - 2.\nAnswer: 2*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*33000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*f - 36 = 4*v - 130*f, 5*f - 102 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 - 2*a - 13. Determine z(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5222011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 761?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1396*f**3*m + f**3 + 2*f**2*m - 504654*f**2 + 535*m wrt m.\nAnswer: -1396*f**3 + 2*f**2 + 535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1302 - 506. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h*k**3 + 2*h*k**2 + 7*h*k + h - 5*k**3 + 6*k - 10 wrt k.\nAnswer: -54*h*k + 4*h - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13414 is divided by 38.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80275224 a multiple of 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s - 3*n + 12, 3*s = 2*n - 5. Let g be 2\/6 + 1\/(-3). Which is the biggest value? (a) s (b) g (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1332 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 - 8*l - 3. Let q be t(-7). Suppose 0 = 2*s - 76 + 4. Suppose s = q*x - 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amamm. What is prob of sequence ma?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q - 11*q + 22*q + 33 - 7. Determine d(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36))\/sqrt(6)*1)\/(-3*(sqrt(147)*-2 + sqrt(147) - sqrt(147) - sqrt(147)) - sqrt(147) - sqrt(147)).\nAnswer: sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18450*g**3 + 9186*g**3 + 9136*g**3.\nAnswer: -128*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112\/3 - 39. What is the third biggest value in -0.5, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2\/7, 0.08, 4 in decreasing order.\nAnswer: 4, 0.08, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5863381, 5863376, 5863371, 5863366, 5863361, 5863356?\n\"Answer: -5*q + 5863386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4505418031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/9)\/((-22)\/231). What is the third derivative of 10*d**3 + 17*d**3 - c*d**3 + 35*d**2 wrt d?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 14. Let q be n(12). Suppose -2*u + 56 = q*u. Calculate the smallest common multiple of u and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (-329)\/(-49))\/((-4)\/(-14)). Solve 3*q = -c - 12, -4*q = -c + 10 - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 18798*d - 18726*d + 5*d**2 in the form v*d**2 + s + a*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1223 divide 3892865035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-5 - sqrt(5)) + -3)*-2.\nAnswer: 6 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-5) - 1632\/(-30). Suppose x + 0*x - i = -2*a, a = -2*x + 26. Calculate the remainder when a is divided by 2\/(-6) + (-138)\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 16*y**2 + 38*y - 157. Give g(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqwqthdwdhdwtdd. Give prob of picking 1 d and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (33 + -16 + -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqdow. Give prob of picking 1 q and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-36)\/(-111)) - 3. Sort -0.5, h, 3.\nAnswer: -0.5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*7*(-7)\/(-196)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-16 - (-6 - 2)) + -10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9692 - 9684. Let a(o) = o**3 - 5*o**2 - 14*o + 8. Determine a(n).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37271 is divided by 129.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140 + 4341*s - 44 - 44 - 52 to k + v*s and give v.\nAnswer: 4341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ala when three letters picked without replacement from {l: 7, a: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7592 + 7592.000013589. What is d rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5297*w - 5299*w + 2*z = -4, -2*w = z - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10332332 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6032 and 10832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760684329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:38 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 123540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014910899 to 6 decimal places.\nAnswer: 0.001491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 + 8*c + 3. Let d be x(-8). Let l(k) = -3. Let f(a) = a - 1. Let j(z) = -f(z) - l(z). Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*g + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22386043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 9*o + 6. Solve 5*c = o*c + x - 2, -3*x + 7 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 733*o**5 + o**2 - 8078*o - 2 wrt o?\nAnswer: 14660*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, 3, 4690, -3 in decreasing order.\nAnswer: 4690, 3, -3, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102 (base 5) in base 2?\nAnswer: 1100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 52.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 + k - 1. Let i be o(0). Let u(b) = -3548 + 3547 + 42*b**2 + b + 4*b**2. Let h be u(i). Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202488000 to the nearest one million.\nAnswer: 202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 3, g: 4, a: 1, h: 4, k: 3}. Give prob of sequence jhkg.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/5, -9, 0.013?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(3))*-5)**2*2.\nAnswer: -600*sqrt(3) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2. Let y = 316 + -250. Let f(t) = -15*t + 117 - y - 51. What is f(j(g))?\nAnswer: 150*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8613.849 * -2\nAnswer: -17227.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -4. Suppose 0 = 2*g - 4*g + x. Suppose -32 = -2*y - a, -4*y - g*a = -3*y - 26. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/36 + 4\/(-18). Let g be (11 + c)*6\/10. Suppose 3*v + i = g*i + 42, -5*v + 101 = 2*i. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from titsfsftfffpfffg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 - 3*d**3 - 3*d**2 + 16*d - 44. Let w be n(-8). Factor w - 1\/6*h**2 + 0*h.\nAnswer: -h**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -112, 110, 836, 2306?\n\"Answer: 40*m**3 - 108*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-2)*6\/9. Let g(m) = -m**3 + 5*m**2 - 5*m + 4. Let s be g(4). Suppose 4*y - y + t = 25, y + 5*t - n = s. Solve -y = -0*r - 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/(i\/i**(-34)))**(-23) assuming i is positive.\nAnswer: i**989","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**2 - 3*t + 2. Let i be z(-3). Let g be (-28)\/i + 2\/(-4). Put g, -1\/4, -0.2 in decreasing order.\nAnswer: g, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45612333*s - 67896972 wrt s.\nAnswer: -45612333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1630 - -60329\/37. Let x = -765 + 56611\/74. Let t = j - x. What is the nearest to t in -5\/2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(204)\/sqrt(4))\/(sqrt(18)\/sqrt(24)) + 3 + -1*sqrt(1088)*1 + 1.\nAnswer: -20*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 46*m**2 + 2*m)*(0 - m - 1 + 2*m)*(-2 + 1 + 3)*(-6 - 4*m + 6) - 17*m**4 + 8*m**4 + 8*m**4.\nAnswer: 367*m**4 - 368*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/4, 0.2, 0.4, -137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 12\/3655, -4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 198 - 896 + 224 + 248 + 226.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000479524284 rounded to 7 dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.947591 rounded to 3 dps?\nAnswer: -8.948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - p - 30*l - 25, l - 512 + 493 = 3*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1467\/5 - -294. Factor 9\/5 + w*m**2 + 3*m - 3\/5*m**3.\nAnswer: -3*(m - 3)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -5, 1, 19, 0 in decreasing order.\nAnswer: 19, 1, 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/1))\/(1277\/31925)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 271*v - 255*v - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {w: 8, p: 6, d: 3, n: 1, f: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450096.\nAnswer: 2, 90631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/4789 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y + 10. Let d = y - -11. Solve -d = g + 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*l + l + 13, -5*k + 4*l + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101366?\nAnswer: 2, 50683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-55) + (-47)\/(-77). Let w(n) be the first derivative of 1\/7*n**3 - i*n**2 + 4 + 3\/7*n. Find x such that w(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-186)\/10*(-2 - 8). Let j = p - 1300\/7. Put j, 1, -3\/2 in decreasing order.\nAnswer: 1, j, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 27394\nAnswer: 1\/13697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -130001130222 (base 4) to base 2\nAnswer: -11100000001011100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -719296823 rounded to the nearest one hundred thousand?\nAnswer: -719300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3632.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14186 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + j = 450, 3*j + j - 109 = -b. Suppose -4*p = -35 - b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*228\/(-1862)*1330\/(-30).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 965.\nAnswer: -1061.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 31.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 163*2 + 150\/(-50). Calculate the greatest common divisor of z and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-10)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -373.8 - -373.9. Which is the second smallest value? (a) -25 (b) 1 (c) 7 (d) 0.3 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.3291374 - 0.3299124. Let i = l + -62. Round i to 5 dps.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + t)*(8*t + 26*t - 1 + 0*t).\nAnswer: -34*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -950*q - 18084. Give c(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.6 - -12. Let r = -8.59584 - g. What is r rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 7, i: 6, q: 1}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*p - 14 = -241*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 63*h + 156. Determine j(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22a4 (base 13) to base 7\nAnswer: -20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 - 4)) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2236322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1473?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/288 and 44088\/(-17920) - (-168)\/70?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20766851 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**8\/112 - 5*p**4\/8 - 3*p**2. Find the second derivative of r(u) wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.108892 and -0.34.\nAnswer: 0.03702328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 63. What is the remainder when i(0) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423*g - 1197 = -1505*g + 2575 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(12\/90).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 452. Suppose -o = -2*t - 24. Calculate the greatest common divisor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614644 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 7, 2, -5, -14, -25, -38?\n\"Answer: -x**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280*w - 410 + 610 - 551 wrt w?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 70, 99, 112, 103?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42900 by -8580.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 5*p**2 + p**2 + (6*p + 1 - 1)*(-4*p + 2*p + 6*p) as v*p**2 + u*p + q and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*t - 5*t - 10, -5*t - 26 = x. Let u = 1265 - 1264.9. What is the nearest to u in t, 0.02, -2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.3. Let y be (-1)\/2*(-4 + 0). Put w, y, -0.3 in ascending order.\nAnswer: -0.3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72.57639 != -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -94140 divided by -60?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 3557966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -122 and -644.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*p - 47*p**2 + 46*p**2 + 28*p)*(-47*p + 47*p - 12*p**2) in the form i*p**3 + q + c*p**4 + h*p + b*p**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 9.948.\nAnswer: 4.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 8*s**2 + 32*s + 2\/3*s**6 - 40\/3*s**3 - 5*s**4 + 8\/5*s**5 + 44. Let v(c) = 0. What is c?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 2. Let k(u) be the third derivative of 18*u**2 + 0*u**3 + 0 - u + 1\/12*u**4. Give k(x(n)).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.957 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 1644*f - 32504. What is l(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1. Let v(b) = -5 + f + 5*b**2 - b + 2*b - 4*b**2. Determine v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3 (c) 2\/7 (d) 36\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 30. Suppose -d = -n - 3. Let a be ((-1)\/(-3))\/((-6)\/90). Put -4, n, a in descending order.\nAnswer: n, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.8.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 837 = 4*f, 0 = -f - d + 14 + 195. What is the common denominator of -101\/8 and (-1460)\/f*14\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + 3*v. Let i be (6\/4)\/((-5)\/10). Let c be q(i). Let l(h) = -9*h + 4*h**2 + c*h. Let d(f) = f**2. Give l(d(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 23*w - 47*w + 23*w.\nAnswer: -3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 + v**5\/30 - v**4\/12 + 6*v**2. Is 14 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661597.091 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:17 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -w + 3*k, -14*k = 5*w - 17*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208376.512 rounded to the nearest one thousand?\nAnswer: 1208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 308*t - 1621. Give c(6).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + 2*m**4\/3 - m**3\/2 + 5*m**2 + 215*m + 8. Give j(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275 + 923. Let j = i + -288. Calculate the greatest common divisor of j and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27584.29 rounded to the nearest 100?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 963346 and 3?\nAnswer: 2890038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/10 in 1\/7, 7, -0.7, -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*o - 1429*o + 756*o.\nAnswer: -1786*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.6 (c) 1\/513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*l + 457*l - 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**9\/189 - 7*l**5\/40 + 9*l**3 - 16. Let o(w) be the third derivative of z(w). Find the second derivative of o(g) wrt g.\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2 + x + 2. Let a be v(-1). What is the units digit of 11 - 2 - (-1 + -6 + a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589610?\nAnswer: 2, 3, 5, 59, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/4800886 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2031103 + 1?\nAnswer: -2031102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3523 + 61?\nAnswer: 61.3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d - 20*d - 25*d)*(-2*d + 0*d**3 - d**3 - 3*d**3).\nAnswer: 220*d**4 + 110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n**3 - 7*n**3 + 0*n**3 + n. What are the prime factors of l(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6*z + 15*z + 3 - 6*z.\nAnswer: 15*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 19*q + 21*q = 19, 3 = -w - q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96937 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 28*c + 16*c - 75270 = 0. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.649 and -4.\nAnswer: -2.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21.5 times 5.6\nAnswer: 120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 2, t: 1, y: 1}. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b. Let u(y) = 1260*y - 49. Let v(g) = -78*g + 3. Let s(k) = 3*u(k) + 49*v(k). Give 8*c(w) + 3*s(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15111393100 rounded to the nearest 1000000?\nAnswer: -15111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f**2 + 181*f + 4. Determine d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 2. Let l(t) = 2*t - 2. Determine 7*l(x) - 6*q(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -594532 (base 10) to base 6\nAnswer: -20424244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989250216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 40\/19 (b) 2540 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19\/4 (b) 2 (c) 1 (d) 0.2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41884, -41892, -41900, -41908?\nAnswer: -41916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-29))**44*j\/(j*j\/(((j*j*(j\/(j**(-5\/6)*j))\/j*j*j)\/j)\/j))*j*j**(-11\/2) assuming j is positive.\nAnswer: j**(-3839\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22215 - 22225 = p + 5*g, p - 2 = -g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1b57c (base 14) to base 2\nAnswer: -10001000000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-703 + 379 + 2016)*(-3*z**5 + 3*z**5 + z + 2*z**5 - 1).\nAnswer: 3384*z**5 + 1692*z - 1692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 597289917.\nAnswer: -597289916.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 14*c - 14. Let o be f(-8). Calculate the highest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -28 + 37 + -8 + 3 + 2 + 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107931400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - i - 4 - i. Suppose -3*w + x = -3, 0 = 3*x + 9. Suppose 0 = y - w - 4. Determine s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/60 + k**4\/6 - 2*k**3\/3 - 3*k**2. Determine o so that q(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n. Let x(q) be the third derivative of 109*q**4\/12 - 2*q**2 - 372. Calculate x(i(k)).\nAnswer: -1526*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 1. Let j = -89 + 81. Let i be -8 + (-1915)\/(-120) + j. Is u <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(4\/7))\/t**(1\/5)*(t**(-1))**(-1\/55))\/(t**(-1\/2)\/(t*t**(-1\/2)))**(2\/53) assuming t is positive.\nAnswer: t**(5825\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -54 + 20. Put 18, k, 8, 2\/7 in increasing order.\nAnswer: k, 2\/7, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 3)*(1 + 3*d - 1 + (0 + 2 - 4)*(-7*d + 2*d + 2*d) - 3*d - 5 + 4 + 3) - 4*d - 4*d + 6*d + 4 + 2*d - 4 + (-d + 3*d - 3*d)*(1 - 2 + 0).\nAnswer: -53*d - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose 0 = -4*a - 19 + z. Is a\/(-20) - 1188\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119817 < 8119812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209849 is divided by 69631.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105303, -210511, -315719, -420927, -526135, -631343?\nAnswer: -736551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-728)\/(-455))\/((-2)\/(-25)). Let p(y) = -y**3 + y - 7*y**2 + y - 6*y - 8 - 9*y. Let t be p(-8). What is the greatest common factor of t and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 1\/3, -23295 in descending order.\nAnswer: 1\/3, -112, -23295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 40*c. Let j(g) = 2 - 2 - 8*g. Suppose -715*h - 3797 + 571 = 349. What is h*r(l) - 24*j(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27976735 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839432995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/168 + 7*r**6\/40 + 2*r**5\/5 + 25*r**4\/12 - 3*r**2 - 1. Let a(n) be the second derivative of b(n). Factor a(z).\nAnswer: 3*(z + 8)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -41.8. Let k = 3.4 - 0.4. Let g = 417\/7 + -60. What is the biggest value in r, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19517*o - 19564*o - 1363 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 304, 1261, 2874, 5155, 8116, 11769, 16126?\n\"Answer: 2*c**3 + 316*c**2 - 5*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j**3 - 41. Let l(h) = -3*h**3 - 8. Determine -11*l(z) + 2*r(z).\nAnswer: 3*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 13. Determine h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28, 115, 7\/4, -0.48?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 17. Let t(v) = -7*v**2 + 8*v - 4. Let b(s) = 8*s**2 - 9*s + 3. Let a(g) = z*b(g) + 3*t(g). Find the second derivative of a(r) wrt r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) - (-69)\/21. Is (-3)\/(-9)*b*169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -1. Solve -4*o - 5 = -d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-2 - 24\/3). Let h = 16 - f. Suppose -b - n + 6 = 2*b, -2*n = 4*b - h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21910 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12925 and 0.052?\nAnswer: 12924.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6065 + 6106 - (0 + -6)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(0 + 3 + 0)*(2*c - 4 + 4).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6971, 6948, 6909, 6854, 6783, 6696?\n\"Answer: -8*s**2 + s + 6978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/4)\/(9*4\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 = -14*a + 139*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 11:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 5 in ascending order.\nAnswer: -30, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/7, 3\/7, 9, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 50*r - 200. Let x be h(4). Suppose 11*l + 26*l - 2331 = x. Calculate the highest common factor of l and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/330*5\/(-12)*1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - -1. Let y be (-1 - (-2020)\/h) + 4\/22. Let b = y + -90. Solve 2*g = -a - b + 4, 0 = -g + 4*a - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 88098516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*y + 4*y + 1 to r*y + z and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8491727 - 0.03.\nAnswer: -8491727.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/21, -3\/5, -0.12 in descending order.\nAnswer: -0.12, -5\/21, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 7*y - 5. Suppose -5*t - 125 = -0*t. Let f be ((-10)\/t)\/((-1)\/10). Determine j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-2) - 1\/(-2). Suppose -28 = -0*p - 4*p + x*v, 0 = -2*p - v + 11. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 28. Let x be f(-12). Let b = 114 - x. Let j(g) = -56 + 50 + g - 8*g**b + 5*g. Let n(y) = -15*y**2 + 11*y - 11. Give -11*j(s) + 6*n(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1203 (b) 5 (c) 0.3 (d) 561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -18. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, -0.111, 23?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -0.3, -261\/5, -4, 3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-15))\/(18\/(-15) + 1). What is the highest common divisor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-15) + 286\/10. Let z be 16\/c - 4\/14. Let p = 0 + 0. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.109 - -0.639. Let u = j + -0.03. Let s be 114\/(-95) + 2 + -1. Which is the closest to 1\/2? (a) u (b) -0.8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21\/9 + -2)\/(6\/18). Let n be 2\/1 + 9*h\/3. Factor 27*k**4 + 42*k**4 - 12*k**n - 9*k**3 - 30*k**4.\nAnswer: -3*k**3*(k - 3)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*j**2 - 42*j**2 - 69*j**2)*((j**2 + 0*j**2 - 2*j**2)*(3*j + 0*j - 2*j) + j**3 + j**3 - 3*j**3 - 3*j + j**3 + 3*j).\nAnswer: 22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -718 - 6002*f + 2082*f - 1132 - 94 wrt f?\nAnswer: -3920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i - v = 2, 0 = -4*i + 2*v + 16. Suppose -i*p + 9*p + 135 = 0. Let a be ((-14)\/(-21))\/((-2)\/p). What is the greatest common factor of 135 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4343 + -4161. Let l(g) = -g**2 + 17*g - 18. Let f be l(12). Calculate the highest common factor of f and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210976 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let q = 386 - 237. Let t(a) = -q*a + 149*a - 3*a**2. What is g(t(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2098*q**3 + 8*q**2 + 4*q + 22. Let l be y(-7). Let a be l*((-500)\/(-15) - 0). Suppose 0 = -6*x - 0*x + a. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5838209*s**3 + 145*s**2 - 489*s - 20?\nAnswer: -35029254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82751181843 - 82751181843 + 8*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*i = -2987 + 56515 + 43984 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*u**4 - 109*u**3 - u**2 - 17*u - 78 wrt u.\nAnswer: -120*u**2 - 654*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/3 - 1658*x**4\/3 - 45202*x**3 + 4970*x**2\/3 + 410116*x\/3 + 90400 = 0 for x.\nAnswer: -75, -1, 2, 904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8122321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-166)\/24 - (-1 + 4) and 47\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -9*z**5\/20 + z**3\/2 + 5*z**2\/2 + 20*z - 2. What are the prime factors of t(-4)?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**3 - 6*k**2 - 15*k + 7. Let g(j) = 10*j**3 - 9*j**2 - 22*j + 10. Let u(i) = -5*g(i) + 7*o(i). Let l be 4 + (-1 - -1)\/(-2). Determine u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Let t = f - -4. Let k = 1 + t. Which is the second biggest value? (a) 4 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/147*-7 + (-139502)\/2618.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**8\/84 - 6*a**7\/35 - 61*a**6\/120 - 3*a**5\/5 - 7*a**4\/24 + 681*a**2 + a. Find s, given that z(s) = 0.\nAnswer: -7, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12)*2*15. Suppose 5*p = -t*o - 5, -p + o - 4*o = 9. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/185? (a) -0.9 (b) -0.182 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - sqrt(12)\/sqrt(4))**2 + 5 - -4*sqrt(300)*1.\nAnswer: 5 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c**5\/5 - 836*c**4\/5 + 8708*c**3\/5 - 26488*c**2\/5 - 30734*c\/5 + 5324\/5 = 0 for c.\nAnswer: -1, 2\/13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k - 1\/3*k**3 - 7\/24*k**4 + 0 + 2*k**2 - 1\/60*k**5. What is the tens digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-42) + (-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.23 and 131451288396?\nAnswer: 131451288395.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 + 204. Let d = k + 86.09. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10535\/2 - 5267. Let j(p) be the first derivative of 0*p**3 + 0*p - w*p**2 - 5 - 17\/4*p**4. Find the second derivative of j(t) wrt t.\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045280834 to the nearest integer?\nAnswer: 32331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (-15 - 42) - (10 + (-4 - 1)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537841\/3 - 179279. Find m such that -32\/3*m - b*m**3 + 64\/3 - 28\/3*m**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(1 + -289)\/(-36)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**1)\/y)\/y)**(-2\/3)*y**(-2)*(y**(-7\/3)\/y)\/y)\/((y**3\/y*y)\/y**(-3\/7)*(y\/((y**0*y*y)\/y)*y)**48) assuming y is positive.\nAnswer: y**(-1213\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**4 - 6*c - 2*c + 112*c**2 - 1 + 19*c**4 - 112*c**2 to the form d*c + o*c**4 + r*c**2 + i*c**3 + t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8674*g. Let o(r) = 9*r**2. Give o(i(x)).\nAnswer: 677144484*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 2*a + 1. Determine l(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25847134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.2474 + -23.48. Let d = -0.0674 + v. Let w = -3.5 + 3. Which is the second biggest value? (a) d (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Suppose 0 = -v - 0 + y. Is ((-1)\/(-2))\/(v\/760) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffttfddvdddd. Give prob of picking 1 d, 1 v, 1 f, and 1 t.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633 + -171. Suppose -12*q + x = -390. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) -2\/11 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1 - (-8 + 6). Let j be (1 - l)*(5 - 6). Let s(a) = 3600001*a**2 - 1. Let r be s(j). What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 9240\/881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2985 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268264 is divided by 721.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14079736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-70))\/(2\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)\/sqrt(2))\/(sqrt(11) - 2*sqrt(396)) + ((sqrt(180)\/sqrt(4) + sqrt(45) + sqrt(45))\/sqrt(9)*2 + -2)**2.\nAnswer: -261*sqrt(5)\/11 + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 266600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 108460032.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/40*12\/(-21). Suppose -3*q = 5*c - 298 - 355, -q + 217 = l*c. What is the highest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l - 177. Determine y(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -895\/5104 - 3\/464. What is the third smallest value in i, -15, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3351 = -11*w + 8*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -9, 1.72 in descending order.\nAnswer: 1.72, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37356?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let f(n) = 55*n. Let q(o) = -f(o) + 66*k(o). Let t(v) = -17*v + 2. Give q(t(x)).\nAnswer: -187*x + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:49 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314 and 10.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 252, 253, 254?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 take away 48204692313?\nAnswer: -48204692543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let g = 6 - 3. Let p(s) = -4*s + g*s - 3*s. Give n(p(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 248, 4, -18, 2 in increasing order.\nAnswer: -18, -6, 2, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b + 2. Let q be r(7). Let w = q - 29. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1132538 + 1132490.0001. Let d = 13 + 35. Let t = d + q. What is t rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 452038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x + 2. Let j be w(4). Suppose -5*g = 2*o - 1, -6*o + o + g + j = 0. Let t be (1\/1)\/(o\/2). Which is the nearest to -1? (a) t (b) -0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 41*g. Let k(s) = -40*s. Calculate -4*k(y) - 3*n(y).\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 4. Let y be x(-7). Let w = -261\/28 + -5\/28. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-832)\/24*((-93)\/(-126) + 12\/(-21)). What is the third smallest value in 0.1, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 0.161?\nAnswer: 2.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6131, 12286, 18441, 24596, 30751, 36906?\nAnswer: 43061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 49*t = 54*t + 1320 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560062 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38.2 and 59840215.89.\nAnswer: 59840177.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3.1497, -43\/7, 1?\nAnswer: 3.1497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 1140*j**2 - 81792*j + 80656.\nAnswer: -4*(j - 142)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.96 + 1.16. Sort -3, s, -88 in decreasing order.\nAnswer: s, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2711, -3.\nAnswer: -3, 0, 2711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -56596052 divided by -56596052?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/45*6\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.047 and -52234.\nAnswer: -52234.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11414297 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 42863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(-1))\/((v**7*v)\/(v*(((v*v**(-6))\/v*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*d = -1364 - 1828 + 607 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220122 + 1?\nAnswer: -2220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525769354 to the power of 1\/3, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3048 and 2112?\nAnswer: 268224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - 9*k + 4*k**2)*(2 - 1 + 1).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4529906 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (364\/8)\/(-13)*30\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 10. 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(p) = -2*p**2 + 7*p + 43. Let m(k) = 2*k**2 - 28*k - 196. Let h(a) = -a - 7. Let d(b) = 28*h(b) - m(b). Calculate i(d(g)).\nAnswer: -8*g**4 - 14*g**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12041 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(354\/17700)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 7. Let y be s(8). Put y, -3, -2, 5 in descending order.\nAnswer: 5, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**7\/21 - 9*h**5\/10 + 24*h**3 + 82*h. What is the second derivative of y(l) wrt l?\nAnswer: 40*l**3 - 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 18*v - 206532. Let j = 39791 + v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 51*d - 3*d + (1 - 3 + 1)*(d - 2*d + 0*d) - 5*d + 2*d + d + d + 0*d + d as o*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74976589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.53281ms to seconds.\nAnswer: 0.06953281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 12, 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -64*a - 2. Let z be n(-3). Does 18 divide (-6)\/10*z\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18328741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24567 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 - 379593184*k - 9005686583703616 = 0 for k.\nAnswer: -47449148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 + 0 = 4*l, 2*t + 5*l = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -195 - 197 - a**3 - 2*a - a**2 - a**2 - 200 + 589. Give d(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 331 - -15*7\/(-21) - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:49 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3049.\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0 + 0 + 2 - 1 - 2 + 3 + 0 + 4 + 0 - 3 + (5 - 6 + 3)*(0 + 2 - 3))*(-5 - 4*d - 2*d + 8*d).\nAnswer: 6*d - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -102, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p - 104*p - 117*p + 409*p - 112*p.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 637922067 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*x - 7 = 0, 0 = -23*w + 21*w + 2*x + 26. Suppose m - 3 = -2*m. Calculate the greatest common divisor of w and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 7818.\nAnswer: 1\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 129 - 175. What is the common denominator of (m - -2)*3\/132 and 89\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5877768, -5877766, -5877764, -5877762?\nAnswer: -5877760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let l(m) = 16*m**2 + 5*m - 13. Let j(k) = l(k) + 6*v(k). Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u\/(u*u*(u\/(u*u**4*u))\/u))\/u)\/u*u\/u**(-2\/3))\/((u**(-4)*u)\/(u\/(u*(u\/(u\/u**(-2\/5)*u))\/u))))**(12\/7) assuming u is positive.\nAnswer: u**(724\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 84*g + 1. Let z be k(3). What is the highest common divisor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*y + 48, -5*y + 133 - 54 = 3*z + 31 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/24 + 9\/(-1))\/(6\/(-208))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 15*y + 42. Is 9007 + (-2 - y)\/(2 - 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3291 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6 + 2 - (115\/25)\/(63\/210)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:11 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 586 - 503. Let f = i - 272. What is the highest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11903.334 - -11917. What is x rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let a(z) = -35*z**2 - 17647*z - 1. Calculate a(n(t)).\nAnswer: -140*t**4 + 35294*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.38153\nAnswer: 0.552612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + -2 + 2 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eccc. What is prob of sequence ce?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 5*z + 4. Suppose 1 - 13 = 4*b. Does 7 divide x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-195)\/(-715) - (-6242)\/(-22726). Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337230 times -1.5?\nAnswer: -505845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 7381?\nAnswer: -2\/7381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*(-7)\/((-28)\/24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184513?\nAnswer: 7, 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/329 and 3393\/9135 + (-2)\/10?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-144)\/12)*11 - 766\/(-70).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -197, -370, -705, -1256?\n\"Answer: -9*i**3 - 2*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277 - 276. Suppose -4*l + 6*l = 44. What is the lowest common multiple of z and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/162)\/((-218)\/(-763) - (-1)\/21)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(-2*1\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -72.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 44*d - 29. Let b be p(23). What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1529?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2884 (b) -0.01 (c) -0.05 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**4 + 50*m**3 + 55*m**2 - 900*m = 0.\nAnswer: -4, 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 46. What is the closest to 1 in x, 0.4, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869166323.\nAnswer: 1567, 554669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u - 3. Let m be i(-6). Suppose 4*h + 11 = 3*n - 8*n, -n - h = m. Let p = n + 34. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 4*k + k)*(2 - 4 - 1)*(-8 + 8 - 3*k)*(-k**2 + 2*k**2 + k**2) to x*k + g + l*k**2 + h*k**3 + d*k**4 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -89*w - 336. Let q(l) = 29*l + 112. Let d(o) = -11*q(o) - 4*r(o). Does 53 divide d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-1 - 37))*1. Suppose 7*b + y = 11*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3396)\/(-30))\/(426\/(-30)) - -8?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/9)\/z)*z)\/z)**(-6\/17)\/(z*z**(-1\/7)*z**4*z) assuming z is positive.\nAnswer: z**(-2245\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2005\/9 - 223. Let o = -2.47 - -2.17. Is o less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -208, -205, -202, -199?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t + 120*t = -4*m - 2, 4*t = 4*m + 4. Which is bigger: m or 52\/53?\nAnswer: 52\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 80 = -3*k, -5*x + 10 = -10. Suppose 20 = 187*h - 182*h. Determine q so that 13*q**2 + h*q + q**2 + 32 + 10*q**3 - k = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.629*0.4\nAnswer: 0.6516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, -4, 2.61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 1 + 4\/(-1) + 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and 29\/35494373.\nAnswer: 425932476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 35*s + 73*s + 2 - 37*s + 3*s**2 + s**4 + s**4 to t*s**2 + w*s**3 + y + r*s**4 + h*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007765 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 10\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1848, 98, 3354, 7920, 13796, 20982, 29478?\nAnswer: 39284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233340*q**2*u**5 + 50*q**2*u - 307*q*u**2 wrt u.\nAnswer: -14000400*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 175*d**2 - 129*d + 43. Calculate t(59).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2516450.523 to the nearest one thousand.\nAnswer: -2516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-60))\/(6\/(-45)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 23*s**7\/840 - 3*s**4\/4 + 5*s**3\/6 - 12*s. Let a(x) be the second derivative of j(x). Differentiate a(r) wrt r.\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 54 = -7. Is x at least as big as -3\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-284)\/1065)\/(4\/1*(-2)\/(-20))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16794\/(-4665))\/((-4)\/(-30)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x + 26. Let y be k(-4). Suppose -y*p - 6*p = 0. Determine d so that 0*d - 1\/4*d**2 + p + 1\/2*d**3 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7817 - 7802. Solve -101 = -t*m - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -z + 121253, 4*u - 32*z - 97036 = -28*z. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3 - 2121610*v**2 + 562654684816*v - 562652563208 = 0.\nAnswer: 1, 530402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76114081 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4 - 23*l**3 - 81*l**2 - 97*l - 38 = 0?\nAnswer: -19, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let z be r\/(-3) + 13\/3. Suppose -z*a + 14 - 6 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.43, 0.7, 3\/16, -28\/13?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.39 - -0.39. Let z = 5 + t. Let y = -11.000041 - z. Round y to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3698330 rounded to the nearest 10000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -0.6, -0.5.\nAnswer: -3, -0.6, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/56*35)\/(210\/2604).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 6*r - 24. Let q be f(5). What is the third smallest value in -78, q, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**6\/45 + 7*a**5\/30 + 5*a**4\/9 - 16*a**3\/9 - 2*a + 964. Solve d(w) = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 5*l + 4. Determine d(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-25)\/(-2)) + 8\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 58 = 2*h - 8, 4*h - 2*g - 180 = 0. Let f = -40 + h. Let v(l) = 53*l - 2. Is v(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 - m - 1. Let h(i) = 4*i**3 - 4*i**2 + 8*i + 5. Let j(k) = -h(k) - 5*w(k). Let s be 1\/(14\/6 + -2). Determine j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6 - 14 + 7 - 45*f. Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:36 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110)\/sqrt(5))\/sqrt(11) - (-1 + sqrt(50))*-6)**2*-2.\nAnswer: -2988 + 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqbbvbbbvbbbqbvqb. What is prob of picking 1 b and 2 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 64 = 112. Solve -12 = -7*z + l*z - 4*w, 4*z = -5*w + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z = 2*p - 50, 4*p = -z + 40. What is the greatest common factor of 15 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423311 + -111?\nAnswer: -423422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) - (-34)\/(-136).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3128560 less than or equal to -3128561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452\/5 - -90. Let u(d) = 7*d**3 + 4*d**2 + 4*d + 3. Let i be u(-3). Let k = i - -653\/4. What is the common denominator of g and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/132*-4 + (-6058)\/(-286) + -18. Suppose 0*j - 5 = -j. Solve q = -u + 4*t, 0 = j*u + t + t - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d - 6. Let w be r(4). Suppose u = 3*v - 0*v - 6, 0 = -w*u - v + 23. Let s = -20 - -47. What is the greatest common factor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971499 > 5971498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Let d(v) = -49664909*v. Give d(j(x)).\nAnswer: 198659636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*g - 332 - 338 + 670 - 18*g - 14*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllclzxlfl. What is prob of picking 1 z and 1 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c**3 - 6*c + 6*c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4681?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4804306187 to the nearest integer?\nAnswer: 69313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2071286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37736?\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149\/1292 - -3\/1292. Which is the closest to 0? (a) 2\/3 (b) -2 (c) 6.6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*s - 21. Solve 0 = -m - s - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/2)\/(6\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 3, d: 6, r: 3}. Give prob of picking 2 r, 1 i, and 1 o.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 12*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-55)*((-114)\/17 - -7)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*867941.\nAnswer: -15622938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36529644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2541 divided by 77.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.63 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 11*d + d**2 + (d - 3*d + 0*d)*(28*d + 0*d - 5*d).\nAnswer: -45*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 9*v + 12. Let h be q(7). Let s be (-3 - 28\/(-12))\/h. Let d = 0 + 0.2. Which is the third biggest value? (a) s (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q + 35*q = 6*q + 25974. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11709518 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51042 + 76623 + 17931 = -3309*w for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 7 - c**3 + c - 4*c**2 + 4*c. Let u = 5 + -10. Calculate z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4, 3*o = -r - o + 29. Let p = 30 - r. Put p, 3, -9 in descending order.\nAnswer: p, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 3*u**6\/10 + 21*u**5\/20 + 943*u**3\/6 - 124*u - 1. What is the second derivative of g(b) wrt b?\nAnswer: 108*b**2 + 126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.453 + 0.047. Let a = q + -0.5. Let k = a + -27.003. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1\/11*k**2 + 101\/11*k - 312\/11 = 0.\nAnswer: -104, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (g + 9*g + 0*g)*(-35*g - 54*g - 42 + 43) in the form u + n*g + r*g**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437681 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 12. Let d = -28 + 37. Suppose -1 = -2*f + d. Sort 3, f, q in descending order.\nAnswer: f, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 8. Let l be i(9). Let c be 515\/l - 6\/(-21). Calculate the highest common divisor of 75 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23723155 (base 8) in base 11?\nAnswer: -2a45909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 3.2, 1\/9, -0.2, 29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*t = 214*t + 79688. Suppose -32*n + t = -16599. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.163206 rounded to three decimal places?\nAnswer: 1.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**5 - 7191*m**4 - m**3 + 544*m**2 - m + 8 wrt m?\nAnswer: 240*m**2 - 172584*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from bhshhhbsh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40027372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043263543 to 6 decimal places.\nAnswer: -0.004326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4 + 964*q**3 + 50358*q**2 + 275904*q + 400680 = 0.\nAnswer: -42, -3, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8060 - 8064. Let s be (-12)\/(-55) - 2\/5. What is the third biggest value in t, 3\/7, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892645?\nAnswer: 5, 43, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.57696cm to kilometers.\nAnswer: 0.0000457696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 5 (c) 6 (d) 3 (e) 0.1 (f) 6512\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100001000000110100000 + -10?\nAnswer: -1100100001000000110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*f + 34, 8*f - 12*f = z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3*m**2 - m + 1. Let s be c(-1). Solve -4*z + 51 = s*x + 10, x = 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 765 - 1757. Let w = -81 - k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 938, 1348, 1792, 2288, 2854?\n\"Answer: 3*b**3 - b**2 + 392*b + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.2. Let z be 505\/1450 + (-2)\/5. Let f = z - -189\/290. What is the smallest value in 0.5, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23576\/140*(5 + 0) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9903 + 0.0097. Which is the second biggest value? (a) -44 (b) -0.02 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let l(x) = 2*x**3 - 4*x**2 - 1. Let c = 215 + -213. What is c*y(n) - l(n)?\nAnswer: -2*n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122502188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 - 307848*h**2 + 5232597*h - 4924752 = 0.\nAnswer: 1, 16, 102599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46\/3*(11 + -8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0048 and 4.\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 3. Let p be x(-4). Let c be 4\/18 - p\/36. Let h = 17 + -17.2. Sort c, h, 2\/13 in increasing order.\nAnswer: c, h, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one fifths of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.5. Let y = z - 1.5. Is -1\/4 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 41. Let x = -15 + 17. Let y = -1 + 10. Solve 5*r = x*r - 3*p - y, -17 = -r + a*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65043, -260050, -585027, -1039968, -1624867, -2339718, -3184515?\nAnswer: -4159252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47785.3 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/6 - (-2)\/(-3). Let d = -17 - -15.6. Let a = -1 - d. What is the nearest to 0 in 0, a, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 220386 + 220381 - x**3 + x - 661165 + 220398.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33781840266.7 and 1.\nAnswer: 33781840267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -32. Let h = 9 + z. Does h = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*z - 8 = -2*a, 4*a - 3*z = -2. Solve -5*n + 18 = -3*d, 0*d - a = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -9 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-1)\/((sqrt(121)*-1)\/sqrt(11)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.99 * 4.982.\nAnswer: -54.75218","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 22*w**3 - 2*w**2 + 2. Let c(y) = 6037*y + 3 - 3*y**2 + 21*y**3 - 6037*y. Calculate -2*c(n) + 3*s(n).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3242541 (base 7) to base 5\nAnswer: 100202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/58?\nAnswer: -15\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 22947?\nAnswer: 22947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70161 or -70159?\nAnswer: -70161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1)*116\/174. Solve -3*n = 3*w - 3, -v*n + 4*n = 2*w + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/(-66) - 6\/(-9). Let z be 4*-1 + (-2 - 1). Let g be (4\/6)\/(z\/3). Which is the nearest to 3\/4? (a) q (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -36.7. Let d = 0.79 + 0.01. Let y = w + d. Which is bigger: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 172*r**2 - 145*r**2 - r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**4 + 2*c + 16 - 2*c**3 - 21 - c**4 - 5*c**4 in the form b + m*c**3 + x*c**2 + h*c**4 + l*c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/525882 and 25\/150252?\nAnswer: 1051764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4815 - -4847. Solve -m + 4 = 0, -3*t + 2*m = 7*m - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -131*x - 10. Let v = -73 - -71. Let n be p(v). Suppose -44 + n = q. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1179 + 1182. Solve -t + 1 = 3*t - 5*q, -3*t = -d*q - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:58 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (867*p**4 - 14*p - 1972*p**4 - 5*p + 12*p)*(1 - 2 - 1).\nAnswer: 2210*p**4 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/5692 and -71\/30.\nAnswer: 85380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*t + 8*t + 9 = 0, m + 2*t - 12 = 0. Suppose -m*b + 33*b = 189. Suppose -3*p = -7 - 5. Sort p, -4, b, -1 in increasing order.\nAnswer: -4, -1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 181 = 8*p + 61 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/3 + (-1920750)\/(-14625).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -318, -630, -1056, -1596?\nAnswer: -2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1118638, 2237280, 3355922?\n\"Answer: 1118642*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1478\/3 - -484. Find the common denominator of -17\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j - 9 = -102*j + 17*w, 0 = -4*j - 5*w - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43044, -171834, -386478, -686976?\n\"Answer: -42927*y**2 - 9*y - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -5*a - 9, 4*z + a - 55 = 0. What is the remainder when 568 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d**5 + 0*d - 68*d**2 + 67\/6*d**3 - 7\/120*d**6 + 1 + 0*d**4. What is the derivative of h(f) wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11865764003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/5 + 832*l**2 + 432640*l = 0. What is l?\nAnswer: -1040, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17028.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180116 is divided by 1429?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-28)*(-9 - -2). Let m be 3 + -2 + h + -2. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/653 or 11?\nAnswer: -16\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6328724 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 3. Let h be o(1). Suppose 3*i - h*i + 6 = 0. Solve 0 = -8*a + i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4042 (base 13) in base 6?\nAnswer: -104534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**0*r))**(-18\/7))**(1\/17) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 + 5*y + 7. Let s be -22 + 3 + (-6 - -3). Let z be s\/(8\/(-4) - 0). Let h(p) = -7 - 13*p**2 + 12 + 9*p + 11 - 3. What is z*x(v) - 6*h(v)?\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/5 + -5. Sort z, 0.2, -5, 5 in ascending order.\nAnswer: -5, z, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + -1 + -6 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499 is divided by 440?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32883662.\nAnswer: 2, 7, 2348833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 2, 1601, 968, -0.4, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158537 is divided by 39631?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 24*f**2 - 9. Does 50 divide n(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose 21 = z + c, 2*c = -4*z - 0*z + 90. Suppose 5*d = -2*a - 8 - 4, 2*d + z = 4*a. Sort h, -5, d in increasing order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 15*x - 26. Let m be k(13). Let p be (-3)\/(-42)*(-804)\/26. Let g = 12\/13 + p. Is g less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 6686 - 6533 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 300\/32 - (-3)\/(-8). Let j be ((-24)\/(-10))\/(k\/60). Is 17 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c - 209 = 247 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x + 109*x - 75*x = -864 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.123*-1\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 154, 335, 584, 895, 1262?\n\"Answer: -t**3 + 43*t**2 - 15*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18*q**2 + 4*q - 1. Let x be a(2). Let k = x + -77. Find the second derivative of 0*d - 10*d + 6*d - 37*d - d**k wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66031 at least -1650812\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000045188 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 26009259220 to the nearest one million.\nAnswer: 26009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c + 648 = 42*c - 57*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -11*q**5\/60 - q**4\/6 - 4*q**2 + 2*q. Let y(i) = -2*i**2. Give m(y(b)).\nAnswer: -44*b**4 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.797 to zero decimal places.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0 - 1\/105*j**5 - 71*j**2 + 0*j - 19\/42*j**4 - 12\/7*j**3. Find u such that l(u) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5750, 11288, 16824, 22358, 27890, 33420?\nAnswer: 38948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17960 or -29\/7?\nAnswer: 17960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j**2 + 197*j - 197*j + (-2*j**2 + 0*j + 0*j)*(3 - 2 - 2).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1240\/21, -3 in increasing order.\nAnswer: -1240\/21, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 o when four letters picked without replacement from {o: 3, s: 1, x: 6, l: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36 = -m + 3*t, -m + t + 23 = 0. Suppose 5*x = 4*h + 13 + 44, 2*x = h + m. List the prime factors of (x - -73)\/((-2)\/(-1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197428861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 866 - 123. Let 6*l**2 + 7*l + i - 27*l - 728 - l**2 = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4300080*a**3 - 10964606*a**2.\nAnswer: -25800480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*b + b = -163, 3*j - 3*b = 111. Let v be (32\/j)\/(2\/10). Solve -3*k + 6 + 3 = 0, v*q + 4*k - 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j + 0)*(0 - j + 0) + j**2 + 3*j - 3*j - 5*j + 3*j**2 - j + 5*j.\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45334732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**3 - 33*v**2 + 129*v - 30.\nAnswer: -3*(v - 2)*(v + 5)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 - 249*f**3 + 519*f?\nAnswer: 20*f**3 - 1494*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**4 - x**2 - 1. Let n(u) = 7*u**4 - 31*u**2 - 547*u + 13. Let v(w) = -n(w) - 12*s(w). Find the second derivative of v(o) wrt o.\nAnswer: 60*o**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + (-1*sqrt(147) - sqrt(147)) + sqrt(147))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124\/13*c**3 - 3968\/13*c + 2\/13*c**4 + 2048\/13 + 138*c**2.\nAnswer: 2*(c - 1)**2*(c + 32)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r. Let q(b) = -2*b + 1. Let d be q(-1). Let t(n) = 0 - d - n - 3. Determine t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308720 and 30736.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*o + 10*o + z, 3*o + 12 = 2*z. Let t(b) = -14*b**2 - 56*b + 4. Let j be t(o). Solve 0*h = j*l + h - 18, 12 = 4*l - 2*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 0.053.\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*w**3 - 11898*f**3*w**2 - 12*f**3 - 5*f**2*w**2 - 79*f**2*w - 41*f*w**3 + w**2 - 3 wrt f.\nAnswer: -6*w**3 - 71388*w**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/17 in -0.4, 1\/2, -1, -4704, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*s - 728*s - 422 - 532 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 212*m + 2220. What is p(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(12\/13))\/h)\/h**(8\/7))\/(h**4)**(-11\/2) assuming h is positive.\nAnswer: h**(1982\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5354*s**2*u**2 + 186*s**2 - 127*s*u**3 + 857*s*u wrt u.\nAnswer: 10708*s**2 - 762*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 - -205. Suppose v = -4*a - 5*s + 15, 25*a = 21*a - 2*s + 18. Solve 0 = a*n - 3 - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:27 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f = 10. Solve y = i - 5, 5*i - 11 - f = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-32)*(1\/7)\/((-2220)\/518)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 88*d**2 - 21*d - 3. Let r be k(-5). Suppose -2*x - 136 = -r. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569072 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -0.7. Let j = -51.02 - -52. Let i = j - g. Round i to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 199, 0.3, -3, -0.2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002148469 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 442250.7 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) 0 (c) 4 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/4)*l**(5\/2)*l*((l\/(l*l**(-1\/6)*l))\/l*l)\/(l*l\/l**(1\/4)) assuming l is positive.\nAnswer: l**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4730 divided by 946.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*(l*l*l*l*l*l*l\/(l*l\/((l*l**(1\/6)*l*l)\/l))*l)\/l*l*l)\/((l*l*(l*l**(-1\/10))\/l*l*l)\/(l*l**7*l*l)) assuming l is positive.\nAnswer: l**(334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d = -3223 + 185 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/1097?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjaajaajaaajja. Give prob of picking 1 a and 1 j.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 + 0 = -v, l = 1. Let u be (-35)\/(-11) + v\/33. Solve 0 = 3*d + 2*z - 0 + 1, z = 2*d + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c, -2*t - 2*c + 413 = 163. Factor -4*s**3 + t*s + 252*s**2 + 51*s**3 - 12*s**3 + 16 + 63*s**3.\nAnswer: 2*(s + 2)*(7*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*4*(-3)\/48*-10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 276.\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27265 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*f + 154, -4*n - 267 = f - 73. Let x = -43 - n. Find r such that -4*r**3 + 11*r**2 - 4*r**2 + 7*r - r + x*r**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 141.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 9*r**2 - 23*r - 11. Determine o(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c - 2. Let o(g) = -360*g + 81. Let a(s) = -81*d(s) - 2*o(s). Let m(y) = -3*y. What is m(a(n))?\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 50 = 5*m, 0 = 4*m - 5*w - 9 - 31. Suppose 0 = -t - 4, -k - 2*t - 2 = -t. Sort m, 1, k.\nAnswer: 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10734 and 168.\nAnswer: 300552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*q - 102, 2*y = -q + 6 + 51. Suppose 0 = -4*i - i + 300. Suppose -5*b + i = -0*b. What is the greatest common divisor of y and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -139*(1 + 3*(-20)\/15). Let b = 413 - r. Put 8, 5, b, 0 in increasing order.\nAnswer: b, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 1281385620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414213 is divided by 993.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) 0.09 (d) 0.3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4827 greater than -4827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*o**3 + 373*o**3 - 135*o**3 - 121*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 35*k**2 - 193*k + 138. Calculate the remainder when 27549 is divided by z(-22).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*h + 250.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, 5, -3, -2\/15, 6.2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216.885 + -0.115. Let h = 216.983 + c. Round h to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 1140*p + 51371. Give s(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/840 and -127\/391776.\nAnswer: 1958880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(-2*q + 2*q - 3*q)*(-1 + 3 + 3).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839402?\nAnswer: 2, 419701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-18)\/(-6))*1*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide ((-1176)\/9)\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 2*a + 2*a**3 - 5*a**2 + 3*a**2. Let p be i(2). Find the common denominator of (2\/p)\/((-4)\/(-61)) and 17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**8\/336 + 17*b**4\/24 - 2*b**3\/3 + 11*b. Let t(r) be the second derivative of m(r). Differentiate t(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003686383282 rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -880, -881, -882, -883, -884?\n\"Answer: -l - 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -168*r - 85. Let x(u) = 42*u + 21. Let h(l) = -18*x(l) - 4*y(l). What is the units digit of h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 694 - 495. Let m = 599\/3 - w. Which is the smallest value? (a) 0.2 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxxj when four letters picked without replacement from xjsrrxjjxjjnmjsjnr?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9192738 times 0.2?\nAnswer: -1838547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4863950916 from -3.259.\nAnswer: 4863950912.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 53*y + 139. Let h(l) = -13*l - 34. Let x(u) = -9*h(u) - 2*j(u). What is the derivative of x(w) wrt w?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/((r*r**(-3\/7)*r*r)\/r))**(-28)\/(((r*r\/((r*r*r**(1\/2))\/r)*r*r)\/(r\/(r\/r**(-6\/7))))\/(r**(-3\/7)\/(((r*r**(-3))\/r)\/r))) assuming r is positive.\nAnswer: r**(1073\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -318 + 1895\/6. Let a = -58313 + 2973932\/51. Calculate the common denominator of a and n.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 - v**3\/3 + 2*v - 1. Let f(u) = -u**3 + 13*u**2 - 41*u - 6. Let k be f(6). Calculate n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 3. Let t be j(-6). Let r(v) = -v**2 - 7*v + 138. Let d be r(9). What is the units digit of d\/t - 434\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2594 - 2594 + 166*x**2 + 69*x**2 as j*x + d + r*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and -91\/39400440.\nAnswer: 39400440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (212405\/4 - (675\/60 - 10))?\nAnswer: 3, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 12*f - 4 - 3.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2915 - -8183. Let z be (-5)\/((-45)\/v)*15. Let f = z + -2480. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 30 = 4*k + 3*j, 5*j = 5*k - 20. Let f(b) = -5*b + 9. Let r be f(k). Let a = r - -31. Solve -a*h - 20 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 495 = 430. Let q = -84 + 82. Put -4, q, a, 4 in descending order.\nAnswer: 4, q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11416.71 millennia in centuries?\nAnswer: 114167.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10960 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/36548911 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*x)*(4 - 1 - 1) + 0 + x + 0 + (-7 + 4 + 2)*(x + 4*x - 2*x) + (-2*x + 4*x - x)*(-1 - 5 - 2) in the form g*x + s and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25939753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500.9521 centimeters to micrometers.\nAnswer: 5009521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 3 + 3)*(51 + 161 + 14 + 354640*b - 354648*b).\nAnswer: -24*b**4 + 678*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -14141254?\nAnswer: -14141306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429912659 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 5*n**4\/8 + 2*n**3 + 166*n**2. Suppose -f + 0*f = 12. Let z(d) = 6*d + 5. Determine f*z(w) + 5*v(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-4 - (6 + -9 + -16))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 55*b + 220. Let t be o(-8). Is 277\/8 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893.2294 litres to millilitres.\nAnswer: 893229.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4274*z**2 + 48*z + 83. What are the prime factors of p(-2)?\nAnswer: 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -54, -24, -3, 1062 in ascending order.\nAnswer: -54, -24, -3, 3, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3095*j - 37241 = -6705 + 3509 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let h be l(-3). Suppose -4*x + 16 = 0, -5*x + 3*x = -h*z + 12. Suppose z*k = -5*f + 225 + 110, -f = 2. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249533 = 67*l + 1252347 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/19 + 154*m\/19 + 271576\/19 = 0?\nAnswer: -332, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 8:13 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 6 - 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus -1.99?\nAnswer: -53.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(6\/(-8)). Does d = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -134.2. What is the nearest to -1\/3 in j, 8\/9, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 4*c - 8. Let f(w) = -6*w**2 + 9*w + 14. Calculate 2*f(i) + 5*o(i).\nAnswer: 3*i**2 - 2*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1482.839 + 1474.5. Round a to one decimal place.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335649 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37199349 divided by -153?\nAnswer: -243133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -259 divided by -1\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {n: 3, w: 1, p: 2, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let w(q) = -q**2 + 17*q + 12. Determine w(g(u)).\nAnswer: -u**2 - 17*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130996 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52052 - 5?\nAnswer: -52060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -148. Which is smaller: a or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-832)\/(-13))\/(-7040)*(-12)\/3\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 52 = 40. Let p be (1\/2)\/(x\/4). Factor 0 - 1\/3*c**5 + 0*c**3 + 2\/3*c**2 + p*c - 2\/3*c**4.\nAnswer: -c*(c - 1)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from trlqsdqs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48905 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 4:21 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 5*m**3 - 5*m**2 + (2*m**3 + 2*m - 2*m)*(-4 + 0 + 2))*(-m**2 - 2*m**2 + m**2).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989985049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86092 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 19. Suppose 13 = 4*v - 7. Suppose v*q - q - 4*o - 68 = 0, -3*q + o + 43 = 0. What are the prime factors of a(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzyzyzyzzz?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/57)\/(u\/(u\/(u*u**(2\/19))))*u**(-5)\/u*u*u**(-3) assuming u is positive.\nAnswer: u**(-517\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let z be t(1). Let a(f) = 8*f - 51. Let v be a(12). Let h = v - z. What is the highest common factor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12508126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*a + 9*a + 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 65295 = z + 18602, 0 = -5*p + 4*z + 77816. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(1\/2)\/c))\/((c**(-1\/6)\/c)\/c*c))**(6\/13))**(3\/20))**47 assuming c is positive.\nAnswer: c**(564\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00971531 to four dps.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 11100000?\nAnswer: -11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*h - 2*l, -h + 36*l - 19 = 38*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 7, -8, -29, -56, -89, -128?\n\"Answer: -3*y**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297785765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/18)\/(8320\/(-546) + 15). What is the second biggest value in t, 1\/2, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127380, -255032, -382666, -510270, -637832?\nAnswer: -765340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-45)*(3 - -2). Let t(q) = -q**2 + 2*q + 3. Let y be t(j). Which is the nearest to y? (a) -4 (b) 2\/17 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a - 4. Let v(r) = -r - 5. Let u be v(-7). What is the units digit of b(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4763*b - 7153 = 4757*b - 1735. What is the greatest common divisor of 1032 and b?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -3. Calculate the least common multiple of 5*(2 - (-2)\/q) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7473 + 0.2527. Which is the nearest to -10? (a) i (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32708 and 7730632?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*y + 7462763, -2*m = 5*y + 2586122 + 4876651. Let w = m - -7313134. Suppose -3*o - 10481750 = -w. What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -843\/10. Which is smaller: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111926*u**2 + 5*u + 740354 wrt u?\nAnswer: 223852*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 378791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 6, 37360, 0, 3 in descending order.\nAnswer: 37360, 6, 3, 4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 45. Let r(a) = -7 + t + 5*a + 2. Give r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*y - 82*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.057 + -43. Let j = u - 15.457. Let i = j - -0.6. Round i to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 403627.4s?\nAnswer: 403627400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9, 5, 1\/3, 4.5, 0, -0.4, 3 in decreasing order.\nAnswer: 5, 4.5, 3, 1\/3, 0, -0.4, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2049 + -2048. What is the fourth biggest value in -0.4, -4, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tji when three letters picked without replacement from {t: 1, x: 2, m: 5, f: 4, j: 2, i: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(2\/9)\/(i**0\/i)**3)**45 assuming i is positive.\nAnswer: i**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 12*q + 7. Let m(c) = c + 2. Let i be m(2). Let h(r) = 8*r + 4 - 5 - i*r - 5*r. Let z(j) = 6*h(j) + s(j). What is z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**5\/80 - 7*o**4\/16 + 15*o**3\/8 - 27*o**2\/8 - 76*o - 31. Let a(t) be the first derivative of r(t). Factor a(f).\nAnswer: 3*(f - 3)**2*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-9))\/((-10768)\/44418)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-19) + (-146)\/(-1387).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*m = 200, 2*j = -3*j - 3*m + 254. Suppose 4*s - j = 620. Calculate the greatest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 1, s: 2, r: 1, w: 1, x: 1}. Give prob of sequence wjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 + 23*x - 43. What is z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {b: 2, g: 1}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 127, 147, 171, 199?\n\"Answer: 2*d**2 + 14*d + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 + 229. Suppose 0 = w*b + 119 - 195. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 793 - 757. Solve -2*q + s*m = 20, 5*q + 0*m = -5*m + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 4, -2 in decreasing order.\nAnswer: 4, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigxlilix. What is prob of sequence gixl?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 38*o - 36. Solve -o*v = 3*x + x + 6, -8 = 2*v + 4*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 5)*(-4*c + 5*c + 0*c)*(-1 + 3 + 0) in the form w*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 6. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, 21, 1 in descending order.\nAnswer: 21, 3\/2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t\/t**(-1\/3))\/t)*t*t**(-1\/3)*t*(t**2)**29*(t*t*t**(7\/3)\/t*t*t*t)\/t*t*t\/t**1*(t*t*(t*t\/(t\/(t**1*t)))\/t)**(-23) assuming t is positive.\nAnswer: t**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20120111112220 - 0?\nAnswer: -20120111112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.1, -4, 3.07, 4, -2\/133?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23440141.\nAnswer: 23440141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15)*(3 - -3))\/(1\/(-3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r - 209 + 14 + 77 + 50 - r**2. What is f(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 4\/(3 - 7). Calculate the common denominator of 32\/9 and ((-53)\/30)\/((-8)\/(-23 - j)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -2. Let f(v) = v - 4. What are the prime factors of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2630 and 770590.\nAnswer: 770590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159367178 or 159367180?\nAnswer: 159367178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -1\/3*w**2 + 143\/60*w**5 + 13\/9*w**3 - 71\/24*w**4 - 121\/180*w**6 + 0 - 6*w. Factor u(d).\nAnswer: -(d - 1)**2*(11*d - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 + 37*a**4 + 93*a**3 + 27*a**2.\nAnswer: a**2*(a + 3)*(a + 9)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-6)\/82))\/(1 - 0). Suppose z*k - 40*k = 0. Suppose k = -11*b - 257 + 972. What is the greatest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2 + 2*l**2 + 5*l - 4*l**2 - 3*l**2 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9366, 74893, 252744, 599097, 1170130?\nAnswer: 2022021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1472)\/(-12) + (-4)\/6. Suppose -52*d + 9506 + 30754 = 80*d. What is the highest common divisor of d and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 710, -368, -1436, -2494, -3542, -4580?\nAnswer: -5608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 4, h: 1, e: 3, v: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from yyhmyyhhhyhyhh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2189851 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*2\/45*(-3)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a factor of 15775179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 0, 2*z = 4*z - 4*s - 240. Suppose 5*a + 112 + z = 0. Let x = -28 - a. Calculate the remainder when 68 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 5120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59156 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -13765a?\nAnswer: -13765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/32694 + 680483\/20989548. Calculate the common denominator of x and -25\/144.\nAnswer: 15408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9438563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24.0000652. What is r rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 12*u - 273017. Let q(t) = 2*t. Calculate j(q(p)).\nAnswer: -12*p**2 - 24*p - 273017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494*h**4*t**2 + 14*h**3*t**3 - 4*h**2 + 24*h*t**2 + 3*t**3 - 2*t wrt h?\nAnswer: -11856*h*t**2 + 84*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(4 - 5 - 1)*(4*g**4 + 2*g**4 - 4*g**4 + (-g**2 + g - g)*(18*g**2 + 62*g**2 + 2*g**2)) as u*g + m*g**2 + w*g**3 + b + j*g**4 and give j.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*x - 2*x + 13, -x - 3 = h. Suppose 3 = -3*f + 15. Suppose -4*q - d = -f*d, 5*d + 29 = -3*q. Put 0, q, h in descending order.\nAnswer: 0, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w + 0 + 1\/120*w**6 - w**3 + 1\/3*w**4 + 1\/6*w**5 - 7*w**2. Let u be z(-9). Solve 0*y + 2*y = -p, u*y = -p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 78 = 438 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times 5089?\nAnswer: 340963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 1, -2\/3, 72, 27, 2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 2 (c) -2\/21 (d) -5 (e) 3\/4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + 9662*q**3 - 9665*q**3 + 4 + 2*q**2 - 4 to the form z*q**3 + c*q**4 + w*q + h + k*q**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, -12, -18, -5 in increasing order.\nAnswer: -18, -12, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8364*q**2*w**5 - 23*q**2 - 11*w**6 - 728*w**2 wrt w?\nAnswer: 501840*q**2*w**2 - 1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/15210 and -191\/84240.\nAnswer: 1095120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178)\/196 + (-12)\/(-312)*26)*14\/(-12)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 501*q - 3230 - 502*q + 9232 to j*q + p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797528.2 seconds to microseconds.\nAnswer: 797528200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 + 0.1. Sort -5, 0.06, o in decreasing order.\nAnswer: o, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 46*g - 86. Let n be d(14). Let f be (1161\/215)\/((-6)\/(-20)). What is the highest common factor of f and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.313211 to three dps.\nAnswer: 24.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -60 + 29762 - (1 + 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 86 + 21 - m - m.\nAnswer: -2*m + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404 + 578*q - 10563*q**5 - 151 + 354 - 584*q + 413 wrt q.\nAnswer: -211260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/9658 and -97\/14926.\nAnswer: 164186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/24 - 2*k**3\/3 - 13*k**2. Let c be f(-7). Let u(h) = -2*h - 2. Give u(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*b - 1130 = 0, -4*j - b + 3397 + 1066 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2114 + 10063. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 3*p, 0 = 2*r + 3*r + p - 9. Solve -l - 5*v - 3 = r, 13 = l - 4*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-7601)\/(-44))\/(95\/(-57)*2\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136 + 136 + 10*q**2 + (-1 + 3 + 0)*(7 - q**2 - 7).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183 and 3?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - q + 629300 = 0. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-2)\/(-8))\/(108\/(-54))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 3*a**4 + 0 + 7 + 8 + (-2 + 2 + 2*a**2)*(4*a + a**3 - 4*a).\nAnswer: a**5 + 3*a**4 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*h = -432*h - 444*h + 36177 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 8*g + 81 + 0*g + 2*g as l*g + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*r + 27 - 79 = 0, -5*p - 1826*r + 1828*r = -72 + 7 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 8 = 4*d - q, 23 = -4*d - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 260217, 521011, 781805?\n\"Answer: 260794*o - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u**2 - 88. Let w(y) = 13 + 15 - 25 - 10 + 9. What is -2*r(o) - 88*w(o)?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9752 + -9734. Solve -277*j = -268*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/30 + 7*d**3\/6 - 5*d**2. What is the first derivative of v(c) wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10067*v - 130866. What is j(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1587 divided by -8.\nAnswer: -1587\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 15154517 to the nearest 100000.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9660304 is divided by 774.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4435781578 and 0.\nAnswer: -4435781578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -0.5 (c) 0.5 (d) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 - o - 4. Let u be z(3). Suppose -f - 8 = -2*l, 0*f + 5*f - 20 = -u*l. Solve -3*b - 13 + 0 = r, 4*r = -l*b - 31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Suppose -u + 5 = 1516*m - 1521*m, -5*u + 25 = -5*m. Solve -g - a - 6 = 0, m = j*g - g + 5*a + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17\/((a**(5\/3)*a)\/a) assuming a is positive.\nAnswer: a**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let c be t(2). Suppose -4*d + 281 = -l, d + 2*d - 192 = -3*l. Suppose 4*q - 20 = 0, -c*f - 2*q = -q - d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 631 - 677.7. Let h = 0.7 + r. Let a = 45.796 + h. What is a rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0*l - 2*l + (2*l - 2*l + l)*(4 - 1 - 1) + 27 - 27 + 4*l)*(4 + 4 - 6) as x + f*l and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18428 is divided by 5950?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*j - 34416 + 17240 + 17176 - 334*j - 192*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7120889892846 - -17?\nAnswer: 7120889892863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**3 - 23504*l**2 + 47274*l + 352980 = 0. Calculate l.\nAnswer: -11766\/7, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - b**3 + b - 4*b**2 + (1 - 1 - 1)*(-b**3 + b**3 - 2*b**3) - 4*b**3 - 4*b + 4*b.\nAnswer: -3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let t be ((-99)\/18)\/(1\/w). Let k = 4 + t. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -136. Is -123*g*((-202)\/6 + 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154152 by -6.\nAnswer: -25692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/60793 + 911611\/8632606. Let d = p + 2989\/1278. What is the common denominator of d and 6\/21 - 558\/(-56)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772886.\nAnswer: 2, 3, 17, 73, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 8*y**7\/105 - y**6\/30 - 3*y**5\/10 + y**4\/12 - 9*y**2 - 3*y. Find the third derivative of v(r) wrt r.\nAnswer: 384*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/6 + 2*u**2. Let s(q) = -2*q**2. What is a(s(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 26*n**2 - 57*n + 49. Let i be m(28). Sort 9, i, 2 in decreasing order.\nAnswer: i, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16787744.38 rounded to the nearest 100?\nAnswer: -16787700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58220771371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 + -129. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 - 178. Let l(s) = 567*s. Give l(x(q)).\nAnswer: 4536*q**2 - 100926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110311 + 0?\nAnswer: -110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -467476 (base 8) in base 5?\nAnswer: -20101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.6, 3, 9\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**2\/7 + 1726776*v\/7 + 124239806424\/7 = 0. What is v?\nAnswer: -143898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h + 7*h - 5*h)*(-1 - 1 + 1)*(1 + 2 - 4).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 0*a)*(2*a - 3*a - a)*(15 + 14 - 11).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/725 + -28291\/2900. What is the common denominator of -59\/112 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*a + 2*a**2 + 0*a**2 - 4*a**2.\nAnswer: -2*a**2 + 219*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6803 + -6802.8. Which is the fourth smallest value? (a) 4 (b) -5 (c) -53 (d) n (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/10602 and -73\/21204.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 2. Let x = 93 + -89. Sort x, 0.5, 2, t in decreasing order.\nAnswer: x, 2, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*o - 11 = 2*j, 2*j - 4*o + 14 = 0. Let a = -3 - j. Let l be (15*(-8)\/160)\/(6\/128*4). Is l less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26839*d**3 - 13692*d**3 - 13151*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*d**3 + 334*a**3*d + 327*d**3 wrt a.\nAnswer: 3*a**2*d**3 + 1002*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*c + 1 + 7 - 1051*c.\nAnswer: -3*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/616*-144)\/(42\/(-217)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3242, 3250, 3258, 3266?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-15)*(-12)\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2173, -8941, -20227, -36037, -56377, -81253, -110671, -144637?\nAnswer: -183157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((210\/(-15))\/7)\/(4\/376*-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.035 - 0.0350106. What is l rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(16\/6)\/4. Suppose 3*w - s = -3*b, -2*w + 5*w - 3*b - 6 = 0. Suppose -10 = -2*o - 2. Solve -4*z - 16 = w*v + 2*v, -4*v + 8 = -o*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1001\/(-39))\/((-3)\/117*13)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*t**6 + 2*t**5 + 15*t**2 + 9 wrt t?\nAnswer: -3120*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5951*y**3 + 7*y**2 - 14*y - 5994. Let w(g) = 5949*g**3 - 6*g**2 + 12*g + 5994. Let a(h) = -6*r(h) - 7*w(h). Differentiate a(t) wrt t.\nAnswer: -17811*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880)*-1*-1.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-39 - -43) + -32)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9392076 by 36.\nAnswer: -260891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.03978232\nAnswer: 0.11934696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404648 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 17910*i**2 - 107379*i - 161028.\nAnswer: -3*(i + 3)**2*(i + 5964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 8*o - 2. Let w be x(8). Suppose 17*d = -40 - 11. Suppose 2*b + 2*q = b + 5, -2*b = -q - 10. Put b, w, d in increasing order.\nAnswer: d, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyyyuyyyyyyhy. What is prob of picking 1 y and 1 u?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 139914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l\/(l*l**4*l))*l*l))*l)**34\/((l*(l\/(l**(3\/4)\/l))\/l)\/l)**(-33) assuming l is positive.\nAnswer: l**(1257\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 10*b**2 + 9*b. Let o be c(9). Suppose -s + 6*s = o. Suppose -3*p + 5*p - 116 = s. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66160, 66155, 66146, 66133, 66116, 66095, 66070?\nAnswer: 66041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -640, -1305, -1996, -2725, -3504, -4345?\n\"Answer: -2*l**3 - l**2 - 648*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 118, 344, 692, 1168?\n\"Answer: t**3 + 52*t**2 - 53*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*o + 4, 0 = 4*r + 4*o - 7 - 1. Let j = -0.1 + 0. Which is the closest to -3? (a) -5\/3 (b) j (c) -0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -3. Suppose 0 = d - 1 - 5. Let m be 1 + d + (-2 - -2). Calculate the highest common divisor of l and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -37\/8*z**2 - 21\/8*z**3 - 1\/2*z**4 - 3*z - 1\/2 = 0. What is z?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53791, 53799, 53833, 53887, 53955, 54031, 54109, 54183?\nAnswer: 54247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1. Let l(q) = -q + 5. Let y be -1*6*14\/(-21). Suppose -5*z + 26 = -2*s + s, 0 = -s - z + y. Determine s*l(h) + 6*n(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 27*u**2 - 33*u + 769. Determine s(27).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78090 + 8433817\/108. Find the common denominator of -137\/60 and z.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-720))\/(-2*(-3)\/(-12))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442 divided by 587263.\nAnswer: -442\/587263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 174, 284, 414, 570?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = -11*t + 63 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1759, 2047, 2345, 2659, 2995, 3359, 3757, 4195?\nAnswer: 4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*l - 11, -3*m - 5*l + 13 = -2*m. Let n(g) = -g**2 + 6*g. Let o be n(m). Solve -4*z - o = -2*f + 9, 0 = 4*z + 4*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*2)\/(sqrt(36) + sqrt(576)) + (sqrt(14) - 1*sqrt(896))\/(sqrt(1008)*-3).\nAnswer: 71*sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8714, -17431, -26148, -34865, -43582, -52299?\n\"Answer: -8717*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4038618 is divided by 28642.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 5. Let r = 1 + s. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 281*r**2 - 128*r - 251. Is c(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.0767814\nAnswer: 0.2303442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 9, 2\/11, -1\/5, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75740.\nAnswer: 2, 5, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, 49, 2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 1, y: 1, g: 6, i: 1}. Give prob of sequence fyf.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1482*n**2 - 586*n**2 + 0 + 0)*(-2*n**2 - 4*n**2 + 4*n**2) in the form i*n**2 + s*n**3 + w*n + v*n**4 + z and give v.\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.3047351 - 0.2.\nAnswer: -13.5047351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6994*0.5.\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7829*d**2 - 112*d + 6 wrt d?\nAnswer: -15658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349287.\nAnswer: 3, 173, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/((-5)\/(10\/(-3))). Suppose 0 = 2*z - 5*c - t, 3*z + c + 0 = -2. Find the second derivative of -3*b - 2*b**2 + z*b - b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.56 - 33.08. What is s rounded to the nearest integer?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 33 - 3 + 58 + 4*n - 23.\nAnswer: 4*n - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewewwewewwwwww. Give prob of sequence weww.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/19)\/d*d)\/d**(-1\/13)*(d**(4\/7)*d)\/d*d**6)**(1\/36) assuming d is positive.\nAnswer: d**(11677\/62244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/10 - 0). Suppose 0*m + 3*r + 6 = -5*m, q*r = 5*m - 10. Suppose -5*j + 65 + 5 = m. Calculate the remainder when 27 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000100110111101110 (base 2) in base 10?\nAnswer: -1068526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65276.46l?\nAnswer: 65276460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 91*p + 460. Calculate r(-41).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*(-1)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2760.752 nanograms to kilograms.\nAnswer: 0.000000002760752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-3*(-32)\/(-80)*(-12)\/((-504)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1741251711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4072392 and 0.2.\nAnswer: -4072391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 times 4\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**3 + 11*z. Let c(q) = -3*q**3 + 5*q. Let f(l) = -5*c(l) + 2*p(l). Factor f(u).\nAnswer: 3*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -136, -201?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.204441*-0.18.\nAnswer: 0.57679938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = -98*p - 2125 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - a = 24, -5*z - 30 = a + a. Let m be (-35640)\/32 + z\/(-8). What is the hundreds digit of (-1)\/8 - m\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2 - 2*u + 0*u + 3. Let a be -1*2*6\/(-12 + 6). Determine r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 21385033?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5 - 3\/2*y - 1\/6*y**3 + y**2. Let b(h) = 0. What is h?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2953 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x + a - 8 = 0, 4*x = 2*a - 12. What is the closest to x in 0, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*r - 215, 3*a - 4*a + r = -55. Calculate the highest common divisor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -2*i, -5*d + 35 = 5*i - 3*d. Suppose 4*l + 5*o + 2 = 0, -2 = -l + i*o + 10. Sort 1, l, -4 in ascending order.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o - 59. Let z be i(-4). Solve -j - 11 = -3*n, j = 2*j - z*n + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2116 + 3*a - 42*a + 8*a - 61*a + a**2.\nAnswer: (a - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10237 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221201 (base 3) in base 16?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 134, -2, 9, -3 in decreasing order.\nAnswer: 134, 9, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970299662?\nAnswer: 2, 3, 328383277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1243424154 * 3.\nAnswer: -3730272462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 8. List the prime factors of u(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112202112 - 12?\nAnswer: -100112202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 202446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 148*q**2 + 17*q + 3. Let v be g(3). Suppose v = 6*n + n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32297674 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**3 - 61*k**2 + 7*k - 5. What is s(7)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:58 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**6*(y**(2\/7))**(-25))**(-34))**50 assuming y is positive.\nAnswer: y**(13600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15132 and 26481?\nAnswer: 105924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37983057 is divided by 1860.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -4, -3, 17, 14, -20 in increasing order.\nAnswer: -117, -20, -4, -3, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 2.939634\nAnswer: -17.637804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i - 32 = 0. Let a = -8 - i. Let f be a + -2 + 2 + 2. Solve 0*p = -f*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -687658 + -122?\nAnswer: -687780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 5*u + j, 0 = 3*u - 0*j - j + 85. Let w be ((-7)\/u)\/(6\/(-16)). Let p = -1\/5 - 2\/15. Sort 3, w, p in ascending order.\nAnswer: w, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1096)\/(-96))\/((-2)\/(-2)) and -15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 143*g**3 + g - 2. Let w be q(2). Suppose 6*z + 7*z = w. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6935*y + 6936*y + 6940*y + 6933*y + 6940*y + 6942*y - 41621*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 32153\/(-154) - 4. Let x = -214 - w. Which is the closest to -1? (a) 0.2 (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(91)*4 + sqrt(91))*-6 + sqrt(91) + sqrt(91))\/sqrt(7) - (sqrt(208) + 0 - 5*(sqrt(13) - sqrt(13)*-1))**2) + -2.\nAnswer: -466 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/20)\/((-3)\/(-6)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -245184 - 8.499931?\nAnswer: -245192.499931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*g + (-1 + 1 - 1)*(-g - 2*g + 4*g))*(2*g + 3 - 3).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*t - 43 = -d, -5*d = -t - 173. Suppose -v + 0*v = -5*f - d, 3*f - 34 = -v. Calculate the remainder when 133 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72721 + 655969\/9. Which is greater: h or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103247? (a) -0.5 (b) 4.2 (c) -1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010011111001110000000 (base 2) to base 10.\nAnswer: 13235072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7378 - -7381. Solve -t*k - 4*y = k + 12, 0 = 3*y + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3\/21 - 48\/42). Which is the second biggest value? (a) 0 (b) f (c) 17\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51810 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-16\/9)*m**(-26)*m*m*(m\/m**(2\/25)*m*m)\/m*m*m**(1\/7) assuming m is positive.\nAnswer: m**(-35776\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:15 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/3 + 2189*o**4\/3 + 493006*o**3 + 211337476*o**2\/3 - 65383988248*o\/3 + 250524626464 = 0.\nAnswer: -778, 12, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h. Let r be -1*(h - -2)*-2. Let n be ((-16)\/(-6))\/(4\/6). What is the greatest common factor of n and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025849137 to 4 decimal places.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(63))**2 + (sqrt(63) + -2)**2.\nAnswer: -6*sqrt(7) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/3)\/((-2)\/(96\/8)*-1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 394 - -57. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j - 1. Let c(y) = -3*y**2 + 2*y + 4. Let k(a) = -c(a) - 2*n(a). Let w = -3 - -1. Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*w = 3*h + 11, 3*h - 4*w - 13 = 0. Suppose z - 5*q - 22 = 0, 8 = -z - 17*q + 16*q. Which is the smallest value? (a) z (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10536 + -10535. Which is the closest to y? (a) 623 (b) -2\/7 (c) -2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/168 - 3*m**6\/20 - 3*m**5\/4 - 7*m**4\/6 - 5327*m. Factor o(h).\nAnswer: -h**2*(h + 2)**2*(h + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.520591 days to minutes.\nAnswer: 12269.65104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = -r + 5*z, -2*r + 3*z + 433 + 1261 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12293206 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 99. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/5 - 1385991*g\/5 - 1385988\/5 = 0. What is g?\nAnswer: -461996, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 40. Is 12 a factor of x(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/3*u**4 + 0 + 0*u**2 + 4*u + 0*u**6 + 0*u**5 - 1\/14*u**7 + 0*u**3. What is the third derivative of q(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, -3, -10 in descending order.\nAnswer: 22, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.539 - 25.631. Let n = w - 0.53. What is n rounded to 0 decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0.4, -4, 5 in descending order.\nAnswer: 21, 5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025587 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*12627.\nAnswer: -5050.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -18*z**3 - 447*z**2 + 76*z + 5. Give u(-25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 36. Let h be r(17). Suppose h + 21 = 3*m. Let x = m - 9. Solve -x*w + 6*w = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/24)\/(2\/6). Suppose 2*m + 0*m = 6. What is the third derivative of 2*z**y + z**5 - 7*z**2 + m*z**2 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 8 (c) -53 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 2, p: 4, a: 2}. Give prob of picking 2 p, 1 a, and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 106. Let g = -53 + z. What is the smallest common multiple of g and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -19. Is 716\/k*(13 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 254. Let j be m(-64). Let b(n) = 3*n - 1. Let l be b(1). What is the greatest common divisor of l and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 51*v - 13. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g**3 + 9*g**3 + 11*g**5 + (4*g**2 + 3*g - 3*g)*(0*g**3 + 5*g**3 - 3*g**3) + (9*g**4 + 24 - 24)*(10 - g - 12 + 4*g) + 3*g**5 - 2*g**5 - 3*g**5.\nAnswer: 44*g**5 - 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) + 48\/(-10). Let o = -3 - y. Let b(l) = -l**2 + 2*l + 1. Give b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -3 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718, -1463, -2212, -2965, -3722?\nAnswer: -4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4842, -7783, -10720, -13653, -16582, -19507, -22428?\n\"Answer: 2*k**2 - 2947*k - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 46*n. Let w(z) = -31*z. Give 5*d(u) + 7*w(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2025\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02184 - -0.30006. Round v to 2 decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(1331) + sqrt(1331) + (sqrt(1331) + 1)*-2)*6 + -3*sqrt(1331) + 3 + (-3*sqrt(1331) - sqrt(1331))*-4)**2 + 2.\nAnswer: -4290*sqrt(11) + 225166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l - 3835844 = -3837068 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 3*r + 33*y - 122, y + 39 = r. Calculate the greatest common divisor of r and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 4060172?\nAnswer: -20300860","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 23 = -4*i, -4*z + 7*i = 4*i - 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*u - 19 = 0, -51*l - 2*u = -49*l + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 9) to base 5\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221163, 221161, 221159, 221157, 221155?\nAnswer: 221153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74320049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 563 - 554. What is the greatest common divisor of 207 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + z**3 + 11*z + 49964*z**2 - 49964*z**2 + (-z**2 + 0*z**2 + 2 + 3*z**2)*(6 - 2 + 0)*(2 - 2 + 2*z) as v*z**2 + j + n*z + t*z**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8352)\/30)\/(16308\/(-6795))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.497 - -0.0546. What is h rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -58 (b) -11 (c) -1\/5 (d) 2\/11 (e) -1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 - q**3\/6 - 6*q**2. Differentiate t(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 120*x**2 + 34*x**2)*(3*x + x - 6*x)*(-8*x + 11*x + 17*x).\nAnswer: -6240*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 + 4*u - 1. Let x(i) = -9*i**2 - 4*i + 1. Calculate -5*h(n) - 6*x(n).\nAnswer: 4*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 divided by 5?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from azksaaaaaszaazz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 - z + 2. Let a be g(0). Suppose -3*i = -6*i, -a*i - 10 = -5*y. Let n(f) = -3*f**2 + 2. Calculate n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3289, 3409, 3599, 3859, 4189, 4589?\nAnswer: 5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/44 (b) -3 (c) 32 (d) -233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 57. Let w be v(-9). Let o = 33 + w. Let a(z) = -z**2 + o - 24 - z**3 + 13. Determine a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + j + 25 = 0, 2*o = 26*j - 22*j + 22. Let m(s) = s**3 - 8*s**2 - s + 38. List the prime factors of m(o).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 17 - (6 - (2 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -13, 1.2 in ascending order.\nAnswer: -13, -8, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -209, -144, -11, 214, 555?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 366157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from {g: 5, i: 9}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.73 - 0.03. Let u = g - 1.1. Let s = -7 + 9. Which is the smallest value? (a) 5 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**6 - 1813*y**5 + 3*y**4 + 22192*y**2 + 2.\nAnswer: -480*y**3 - 108780*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.93? (a) -4\/7 (b) 1\/4 (c) 1\/5 (d) 0.1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) - 2*sqrt(121)) - sqrt(121))\/((sqrt(132)*2 + sqrt(132))\/sqrt(12)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -3\/2, 7322?\nAnswer: 7322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41298304 divided by -136.\nAnswer: -303664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (5 + 17)) + 27\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 12. Let i be t(-5). Let j(f) = -f**3 + 5*f**2 - f. Let l be j(i). Suppose 0 = d + 12 - l. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = v + 8*w + 13, -2 = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.38 and -0.222162854.\nAnswer: 0.157837146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + v + 2)*(4 + 0 - 5) - 819 + 16*v + 814 + 17*v as s*v + u and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22183537223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -0*j + 5*j + o, 0 = 4*j - 4*o - 4. Let i be j\/(-7)*21\/(-6). Find q such that q**i - 2*q**2 + 2*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*s**4 + 0*s**2 - 2\/3*s**3 + 0 + 8\/9*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 6*x - 5. Let o(y) = y**2 + 5*y - 6. What is 5*h(l) - 4*o(l)?\nAnswer: l**2 + 10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 + t - t + 6*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2, q: 2}. Give prob of sequence fq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + g**2 + 3*g**2 + 3*g**2 - 3*g**2 + g**2 + (0*g + 3*g - g)*(2 - 2 + 2*g) - 2*g**2 + 2*g**2 - 2*g**2 as u*g + k*g**2 + j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57932 - 48?\nAnswer: -57980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -50 + 43 + (-1821)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114820684 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-18139)\/(-121))\/(-17))\/1 - -9\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**1)\/m**(5\/2))\/(m\/(m**(-2\/5)*m))**(-2\/67))\/((m**(1\/2))**(2\/9)\/(m\/m**5*m**(-4\/3))) assuming m is positive.\nAnswer: m**(-47833\/6030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + 12 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 - 3*z + 7. Let h be k(-4). Let t be 1*(18 + h)*7. Calculate the highest common divisor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 154*d**3 - 5*d**2 + 19*d - 21. Is 19 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/8 + i**3 - 3*i**2 + 2*i - 1. Let n(j) be the first derivative of w(j). Factor n(y).\nAnswer: -3*(y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673407 times -0.37?\nAnswer: -619160.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/810 and -61\/3705156?\nAnswer: 55577340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271.\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 4 + o**3 + 7*o**2 - 6*o**2. Let i be v(3). Let r be (-15)\/30*29*-2. What is the greatest common divisor of i and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10024204210 (base 5) to base 2.\nAnswer: -100110000111010000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-336)\/(-1862) + (-2)\/(-19). Which is the smallest value? (a) v (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34919 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 393200.2 millilitres in litres?\nAnswer: 393.2002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366 - -364.07. Let x = -0.07 + u. What is the third smallest value in -4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106494106, 106494111, 106494116, 106494121?\n\"Answer: 5*b + 106494101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*l + 11 = -47, -3*l = -5*x + 67. Solve -5 = -x*i + 9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 31\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:08 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from tvdoidvidd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -111\/20 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cox when three letters picked without replacement from {c: 4, x: 2, k: 8, o: 4, p: 1}.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = g, -4*g - 576 = 5*x - 606 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-54))\/(((-75)\/12)\/(-5))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14186691 is divided by 87.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 80. Let p(u) = u + 45. Let m(n) = -9*c(n) + 16*p(n). Let l(h) = -539*h**2 - 4. Determine m(l(a)).\nAnswer: 1078*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13500 and 27218500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 3476*u**2.\nAnswer: -4*u**2*(u - 869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, -4178, -9383, -16670?\nAnswer: -26039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/16459 and 89\/12.\nAnswer: 197508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-5)\/50). Let t = -0.4 + 0.3. Let n = -2 - -5. What is the closest to t in n, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + (-3 - -5 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1388\/(-6))\/(4\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163000 = -3*r + 2*r. Round r to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 6, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*h - 40 = -6*h, 4*f + 2*h = 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28409374 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 4. Let b(l) = -l**3 - 9*l**2 + l + 8. Determine b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1150, -2674, -4198, -5722?\n\"Answer: -1524*j + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let z = -6.738 + -0.262. Let k = -3.4 - -0.4. Which is the smallest value? (a) k (b) m (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -6\/5 (c) -0.04 (d) -2\/9 (e) 0 (f) -3401 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2381 and -4.\nAnswer: -9524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86789, 86790, 86795, 86804?\nAnswer: 86817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 15804 = -q - 3*n, 5*q + n = 79150. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27286 + 3646 = 836*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 6*x**2 + 5*x + 1. Suppose -310*l = -308*l + 3*y - 14, l - 14 = -5*y. Give i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d - 637. Let l = 671 - 762. Is l >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i*i**4)**(-35\/4))**(2\/29) assuming i is positive.\nAnswer: i**(-105\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.50371*-473\nAnswer: 2603.25483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 3 + 26\/1. Is (0 + 19)*(q - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.45 rounded to the nearest 10?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j*r**3 - 127*j*r**2 + 9*j + 19 wrt r?\nAnswer: -6*j*r**2 - 254*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - 4.3. Let u = i + 6.16. Round u to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -7*z - 400. Let d = 30 + z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 81*q**3 - 3636*q**2 + 32560*q + 193600 = 0.\nAnswer: -4, 220\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9240)\/24948*(3\/15)\/((-4)\/(-15))?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 37*g + 29*g + 110 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -8\/7, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-135)*(1 + (-11)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011 (base 2) to base 5.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = -8. Let f be (-2)\/(-3)*(-3)\/4*0. Solve -r*u - x = u, -u + 3*x = f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 16. Let d be s(23). What are the prime factors of (-127 - d)*1\/(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 1619509.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0 - 7*i - 56\/45*i**6 - 23\/36*i**4 + 0*i**2 + 1\/9*i**3 + 22\/15*i**5. Factor j(l).\nAnswer: -l*(4*l - 1)**2*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h\/h**(-1))\/((h**(-2\/7)*h*h*h*h)\/h**(-2\/3)))\/((h*h\/h**3)\/h**(1\/2)*(h**1)**(-17\/6)) assuming h is positive.\nAnswer: h**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-12)*o**(2\/35)*o assuming o is positive.\nAnswer: o**(-348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 299.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 112*19\/1140 + 4\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225.4 meters in centimeters?\nAnswer: 522540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 18104112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -663797 times -637\nAnswer: 422838689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypt. Give prob of sequence pty.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**1\/d)))**(4\/19)\/((d\/d**(-1\/3))\/d)**(22\/5)*(((d**(-1\/2)*d)\/d)**19)**30 assuming d is positive.\nAnswer: d**(-4297\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4428 times 462\nAnswer: -204.5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22. Suppose -4*f - 5 = 7. Sort i, f, 3 in increasing order.\nAnswer: f, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 + 6*h + 7. Let l be z(-5). Solve -3*n = -n - l*u - 12, -3*n = -u - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5300.01 rounded to the nearest 10?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 712087945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**5 + 5*s**5 - 2*s**5 + (-7*s + 2*s + 3*s)*(s**4 + s**4 + s**4) + s**2 + s**5 - s**2 + 12*s**5 - 7*s**2 + 7*s**2.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -68. Suppose o*c = -400 + 409. Solve -2*w - c*n + 4 = 0, -2*w - 4*n + 4 = -3*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.3+0\nAnswer: -71.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 + 12.91515.\nAnswer: 11.01515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 + 28*k\/9 + 29\/9.\nAnswer: -(k - 29)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 109*u**2. Let w(y) = -y**2. Give w(s(q)).\nAnswer: -11881*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**2 + 557*t - 1109. What is the remainder when 99 is divided by u(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 31829976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 8. Let q be (28\/35)\/(4\/30). Let o be j(q). Let s be (o\/6)\/((-2)\/24). Which is bigger: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/10604 and -7\/13884?\nAnswer: 36806484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 272268\/3347 at most as big as 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4813 + 5330. Let t be 2*-1*(-5)\/2. Suppose 5*z - 2*h = 1215, t*z + 5*h + j = 1732. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in seconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14720431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x**2 - 88*x**2 + 116*x**2 - 15*x**3 to k*x**2 + n*x + p*x**3 + h and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 5.84.\nAnswer: 99.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/12 - 7*f**3\/6 - 6*f**2 + 19*f + 56. Let i(z) be the first derivative of q(z). Factor i(u).\nAnswer: -(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 + 0 - z. Let r be 4*(-5)\/(40\/(-6)). Let w(x) = r*x - 6*x + x. Determine w(t(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b + 4*k = 68*b + 19, 0 = -5*k + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6067722 years in millennia?\nAnswer: 0.0006067722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -6)*8\/(-16)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 93*d**2 - 22137*d + 572. Calculate i(238).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {w: 2, m: 2, i: 1, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90629*g - 42*g**3 + 97*g**3 + 90629*g.\nAnswer: 55*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -322*h**4*w*x**2 - 2*h**2*w*x + 2*w + 68*x**2 wrt h.\nAnswer: -7728*h*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(5\/2) + -5 + 19. Solve 4 = 5*r - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Suppose -42 = -p*q - 3*b, 0 = -q + 3*q + 5*b - 25. What is the remainder when 172\/3 - 92\/(-138) is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-6)\/(-4)). Let m(k) = 5100000*k. Let d be m(g). What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 42*a**3 + 11*a**2 - 56*a. What are the prime factors of r(6)?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50523008, -101046016, -151569024, -202092032, -252615040?\n\"Answer: -50523008*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1628, -1887, -2600, -3995, -6300, -9743, -14552?\nAnswer: -20955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 537*a - 4999. Calculate h(-259).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y**(-1\/2)*y)\/((y*y\/(y\/(y*(y\/(y\/(((y\/y**(-2\/27))\/y*y)\/y)))\/y)))\/(y*y*y**(1\/4)*y)) assuming y is positive.\nAnswer: y**(289\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.014015 + 2.181285. Round a to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, -25, 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 - 0.7. Let v = -4.6673 + p. What is v rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 309.343 kilometers?\nAnswer: 309343000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j - 132 = 0. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - -6.75. Let r = y + -12. What is the biggest value in -6\/11, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-60)*8)\/((132\/18)\/11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -69513 (b) 14 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, n: 1, z: 2, o: 1, p: 2}. Give prob of sequence ayz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.09 times 0.7\nAnswer: -2.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 - 4*i + 11. Let n be f(-5). Let j(t) = 5 + 28*t - 29*t - 2*t**2 + t**3 - 16. Is j(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*g - g - 8, 5*g - 1 = 4*v. What is the hundreds digit of (-7449)\/(-21) + v\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3.4, 2\/11, -2.18, -7, -4\/7?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511418659?\nAnswer: 20983, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 13*d + b = 10, 8 = 2*d - b. What is the nearest to d in -1\/6, -7, -5\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 1153, 0, -1\/785?\nAnswer: -1\/785","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -101?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 2*j**3 + 12*j - j**3 + 9*j**2. Let d(l) = -2*l**3 + 5*l**2 + 5*l. Suppose 0 - 9 = -z. Determine z*d(i) - 5*f(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 389. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 k when four letters picked without replacement from qqkqkqqwwkqqxqxq.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12149257, -27, -5 in descending order.\nAnswer: 12149257, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*s**4 + 2916*s**2 + 157464 - 108*s**3 - 34992*s = 0 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + r**2 - 3*r**2)*(-3 + 2 + 3)*(3*r**2 - r**2 - 3*r**2).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -39. Let i = l + -22. Suppose 0 = -3*f + 6*f - i. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z - 3. Let r(b) = -b**2 + 12*b + 5. Let n be r(12). Let y be g(n). Is 3 a factor of y - (-4 + 4)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37238*f - 11849 with respect to f.\nAnswer: -37238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 74 - 134)*(-m**4 + m**4 + m**4) + 87*m**4 + m - m + 0*m**3 + 0*m**3 - 2*m**4 + (-1 + 4 - 4)*(-2*m**4 + m**4 + 3*m**4).\nAnswer: 98*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15359807 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8669243*r*z**3 + 16*r*z + 8*r + 5*z**2 + 5*z + 173 wrt z?\nAnswer: 52015458*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.8. Let g = -464\/3 + 156. Sort 2, f, g in decreasing order.\nAnswer: 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**7\/420 + j**6\/360 - j**5\/120 - j**4\/6 - j. Let n(c) be the third derivative of x(c). Give n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3968, 3966, 3962, 3956?\n\"Answer: -q**2 + q + 3968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-6*l + 3*l + 2*l) + 3*l - 3*l - l)*(-11 + 11 - 8*l)*(2 + 1 - 2).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -24142?\nAnswer: 24130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by -4.\nAnswer: -137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52056494 + 4.\nAnswer: -52056490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/134 and 9\/2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 259 divided by 259\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 - 14*c + 18*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a - 4*q, 3*a + 2*q + 1 = 2*a. Let l = -2 - a. Let n(h) = -h**3 - 3*h**2 + 3. What is n(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 8*p + 7. Let b = 169 + -147. Let x(r) = -7*r + 148. Let g be x(b). Let q(u) = -2*u**2 + 9*u - 8. Determine g*q(j) - 7*v(j).\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 14*a**2 + a**2 - 9*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 686072123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + j**2 + 0)*(j - 3*j + 4*j)*(-7*j**2 + 78*j - 78*j).\nAnswer: -14*j**5 + 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 3*x - a + 9, 2*a = 5*x + 3. Let v(l) = l**3 - 4*l**2 + 2*l - 6. Let o be v(4). Suppose -8 = -o*m - 2. Sort m, 5, x in ascending order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 32 = -t + 245, 5*m = -2*t + 539. What is the remainder when t is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10268 + -10317.072. Let a = -49 - t. Let p = 0.072 - a. Which is greater: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 - 1 = 0. Let g = -2531 - -2559. Calculate the remainder when g is divided by 11 - (n\/(-2) + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 21. What is the third derivative of 16*u**2 - 5*u**6 - 9*u**2 + u**g wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32952236 divided by 5?\nAnswer: -32952236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.27921l in millilitres?\nAnswer: 26279.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z*(z\/(z\/z**11))\/z*(z**(-1\/5))**(1\/4) assuming z is positive.\nAnswer: z**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1339*o - 744*o - 66656 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8237, -16473, -24707, -32939, -41169, -49397, -57623?\n\"Answer: x**2 - 8239*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*x + 2*a, 2*x - 14 = -2*a + 34. What is the highest common factor of x and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + 1 - 318*q + q**2 + 318*q - 9*q**3 as n*q**4 + j + d*q**3 + m*q + o*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6410 (base 8) to base 10.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114\/11 or -10?\nAnswer: -114\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 508 and 21872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)\/(1\/(-653)). Let j = p - -180. What is the smallest common multiple of 8 and 3\/(-5) + j\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 2065858180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:39 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(3\/4)))\/h**(9\/4))\/(h**(3\/10)*h\/h**(-1\/5)) assuming h is positive.\nAnswer: h**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmdhd. Give prob of sequence dmd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = -2*q. Let z be (-74)\/7 - 52\/(-91). Let m = q + z. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4195*y**2 - 2520*y**2 + 387*y**2)*(y - 4*y + y) in the form l*y + d*y**3 + n + i*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 0. Let o = l - 0.35. Which is the nearest to 0? (a) o (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 70*w - 54. Let n be v(16). Solve 21 = 21*x - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3309708.92 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27 from -971600.\nAnswer: -971627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -p - 20, 4*p + 3725 = -4*o + 3733 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 45600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 80 = 3*i - 5*q + 72, 0 = 3*i + q - 20 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(9\/7)\/(q*q*q*q**(-6\/7))*(q*q**7)**(12\/7) assuming q is positive.\nAnswer: q**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from gggigigg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1))\/(8\/72). Let v be (-73)\/(-2) - (-27)\/n. Let m = v + 7. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -128\/19 (b) 2 (c) -237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4\/9, 1\/3, -32, 2 in increasing order.\nAnswer: -32, -4\/9, -1\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*v + 2025 - 831 + 5096 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/14 - 10\/35. Let w be (4 - 6)\/(u\/38). Suppose 12 = n - 4*j, -j - w = -5*n + 22. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 63*j**5\/4 - j**4\/3 + j**3\/3 + j**2\/2 + 132*j. What is the hundreds digit of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g + 5. Let z be ((-39)\/(-3)*1)\/(-1). Let q be d(z). Suppose -a = -6*n + 3*n + q, 0 = -2*n + 3*a + 98. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2892)\/4)\/(7704\/96) + (-81)\/(-9).\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - k + 2*k)*(4903*k**2 - 9773*k**2 + 10*k**3 + 4882*k**2) in the form l*k + a + z*k**3 + f*k**4 + w*k**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*d - 1 = 0, -5*f = -0*d - 4*d - 40. Suppose 9*k - f*k = r + 108, 6 = -2*r. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20679256778 - -74?\nAnswer: 20679256852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {n: 3, p: 2, h: 7}.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -0*g + 3*g + 2*p, -5*p + 20 = 0. What is the remainder when 28 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000175 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p**3 + 4*p)*(-1 - 1 + 5) + (-2*p**2 + 5*p**2 + 0*p**2)*(0*p - 2*p + 4*p) + 0*p**3 - 4*p**3 + 3*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = q - 3*t, 886 - 878 = -4*q - 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, a: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -479*i + 87. Let f(u) = 319*u - 54. Calculate 8*f(c) + 5*l(c).\nAnswer: 157*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4199*z + 105045. What is y(25)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*12)\/((-46)\/23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22702 (base 9) to base 4\nAnswer: 3230231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 2*b)*(-1 + 4 - 5)*(350 - 104 - 159).\nAnswer: 174*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2448) + -1*(sqrt(2448) - (sqrt(2448) + -1)) + ((sqrt(2448) - sqrt(2448)*1)*3 - sqrt(2448)))*5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.089126? (a) -2 (b) -3\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 - 6*j - 30. Determine w(-9).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -1 (c) 0.7 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 53, -8, -2, 5, -32.\nAnswer: -32, -8, -2, 3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 2*l + 44. Let h(u) = -113*u - 685. Let d be h(-6). Give t(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 8. Let n be p(9). Let z = -26 + 76. Calculate the greatest common factor of n and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let t be (9\/3 + -3)*1. Let d(b) = 2*b - 2*b + t*b + 7*b. What is o(d(l))?\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0048752 and -15.\nAnswer: -14.9951248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 7*n + 5. Let c be r(5). Let q = c + 7. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -10 - (33 - 23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1698 and -0.18.\nAnswer: -1698.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.347 millimeters in micrometers?\nAnswer: 636347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 45739?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80960 divided by 20240.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/32)\/(3\/60). Let i be (-12)\/10*10\/4. Put -4, -5, i, p in increasing order.\nAnswer: -5, -4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-3)*s)\/s*s))**(-46) assuming s is positive.\nAnswer: s**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*z + 8)*(2*z**3 + z**3 + z**3)*(25 - 25 - 12*z).\nAnswer: 96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -12, 2*u - 3*m + 1 = 27. Suppose u*k - 38 = 5*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 32\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.22, -0.02, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:41 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132.5322 or -99?\nAnswer: -132.5322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1464 and 28104.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*h = 18, c + 887 = 6*h + 836. Sort -26\/3, -1, -0.03, c in increasing order.\nAnswer: -26\/3, c, -1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 70. What is the least common multiple of t(0) and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 15*n - 1 = 0. Solve 5*l - 2*g = 6, -3*l - 5*g + n = -15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 147*y**3 + 3*y**7 + 16*y**7 + 2*y**7 - 114*y**3 + 185. Find the third derivative of t(z) wrt z.\nAnswer: 17640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/5 - 32\/15. Which is the third smallest value? (a) -2\/7 (b) l (c) -2\/127 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 - (-4)\/16. Let q(d) = 89*d**3 + d**2 - 2*d. Is q(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 = 59. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93201 is divided by 542?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 + 75*f + 209. Determine i(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 13*z + 4 - 4 + 7 - 11 - 23*z**3 as v + s*z**3 + o*z**2 + w*z and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:12 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293.9297*-0.09.\nAnswer: -26.453673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 350*q - 124*q - 4616276. Is 160 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:23 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/(-50))\/2*6380\/(-1276)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y + 375323*y**3 + 9*y + 30*y + 4*y.\nAnswer: 375323*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3629 + -3629. What is the closest to w in -2\/11, -4, -0.174?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 1844, 4149, 7376, 11525, 16596?\nAnswer: 22589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/5 - 54*u**3\/5 + 27*u**2 + 12*u\/5 - 36 = 0 for u.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:41 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 7*p - 1. Let n(x) = -2*x**2 + 8*x - 1. Let h(g) = 2*n(g) - 3*y(g). Let z = 3 - 7. Let l be h(z). Solve -4*r = r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2261490 and 106\/2102625.\nAnswer: 508835250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 - 6)*2 + 22 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70104 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: Let n(a) = -a**2 + 21*a + 45. Let p be n(23). Is p at most 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 652870227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 41, 100, 183, 290?\n\"Answer: 12*f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(54\/48))\/(7*(-7)\/(-147))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (15 - 0) + 0. Let d be 3 + 0 + (3 - -9)\/2. Let g = z - d. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from xxeckxgeeccgxxxc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 - 551 - 6 = 59*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*i + 5*o - 0*o, 5*i - 21 = -2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + -2*sqrt(2299) - sqrt(2299)))**2.\nAnswer: 8250*sqrt(19) + 517900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojdxo. Give prob of picking 1 x, 1 j, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1723 - (0 - -1))\/((-146)\/(-876)). Let z = r - 6245. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0\/p)\/(p\/(p*p*p\/p**6*p*p)))\/(p**11*p**(-4\/11)))**8 assuming p is positive.\nAnswer: p**(-1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4053785984.\nAnswer: 2, 53, 597551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3476472 < -3476472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/2))\/f*f)\/f**(1\/4))**(1\/35) assuming f is positive.\nAnswer: f**(9\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 12*m**2 + 6*m - 102. Let b be t(-7). Which is smaller: 889\/3 or b?\nAnswer: 889\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -111. Does 10 divide 4 + z + (-6)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14991951?\nAnswer: 3, 13, 53, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 - 3*y**2 - 5*y - 6. Let q(a) = 4*a**3 - 3*a**2 - 4*a - 5. Let j(v) = 3*q(v) - 2*u(v). What is j(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**5\/25 - 3*f**4\/10 - f**3\/5 - 67. Factor g(q).\nAnswer: -3*q**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34617 times 0.1\nAnswer: 3461.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 16\/3, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72.35443ml?\nAnswer: 0.07235443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54513, 109026, 163539?\n\"Answer: 54513*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/187 + 379\/935. Suppose -3*f - 18 = n, -25 = 7*f - 2*f. Which is the third biggest value? (a) i (b) 3\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**7\/p)\/p)\/(p**3*p))\/((p\/(p**(2\/17)\/p))\/p*p**(-2)) assuming p is positive.\nAnswer: p**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*y = -50, -2*y - 45 = -110*b + 107*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 56 = -220. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/7 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 57*z + 15 = 0. Let v be ((-100)\/z + -3)*6. Let j = v - 22. Solve j*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 33. Suppose 3*h = o + 7. Let v(g) = 11*g**2 - 16*g - 7. Is v(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7454, -12277, -14446, -13961, -10822, -5029?\n\"Answer: 1327*q**2 - 8804*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -53*r**6\/15 + 3*r**5\/5 + 2*r**3\/3 - 83*r**2 - 2. Find the third derivative of t(x) wrt x.\nAnswer: -2544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*s = -16, -5*s = -5*z + 6 + 4. Suppose 0*q - 5*q + z = 0. Let t(u) = -3*u + u - 9*u + 4*u. Calculate t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 73*l**3 - 3*l**2 + 2*l - 1. Let q be s(1). Find the second derivative of 88*n**5 + n - q*n**5 - 4*n - 2*n wrt n.\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 10)\/1*(8 - 109) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/15 - 514216*o\/15 - 2056832\/15.\nAnswer: -2*(o + 4)*(o + 257104)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1219 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83292)\/(-10096))\/(((-27)\/(-336))\/((-9)\/(-12))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10*r = r + 13*r + 1624 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*j**6 + 4*j**4 - 3*j**3 - 309*j**2 + j - 3 wrt j.\nAnswer: -8640*j**3 + 96*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 808780888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21922567 and 5489?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let w(h) = -4*h**2 - 2*h - 7. Let n(b) = -5*p(b) - w(b). Calculate n(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24956, 49959, 74962?\n\"Answer: 25003*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/195*-1*1*-1. Which is the closest to -2? (a) 0.5 (b) s (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 6*k)*(5 - 5 + 1) + 0*k + 0*k + 5*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -489*z + 41. Let a(y) = -35*y. Determine q(a(x)).\nAnswer: 17115*x + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 720*l + 43771. Give x(-413).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101881?\nAnswer: 13, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 71.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2. Let o(m) be the first derivative of m**5\/24 - 5*m**3\/3 - 1. Let a(g) be the third derivative of o(g). Determine s(a(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:23 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-788)\/36 - 4\/36. Let n = 0 + x. Let o = 42 + n. What is the greatest common factor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:16 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 5 - 5)*(5*l - 3*l + 4*l - l + l + 2*l + (4 + 2 + 0)*(-l - l + l + (2*l + 3 - 3)*(-4 - 1 + 4) + l + 7*l - 4*l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -113217 rounded to the nearest one hundred?\nAnswer: -113200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 63*u - 63*u - 61*u + 186*u as h*u + q and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -152*w. Let h(k) = -14443*k. Calculate -3*h(u) + 286*x(u).\nAnswer: -143*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x + 8. Suppose 4*f - f - 12 = 0. Suppose q = -f*q. Put q, 1, x in ascending order.\nAnswer: q, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 9 = 3*c. Let x(t) = -t - 2. Let z be x(-2). Let v = z - -10. Calculate the remainder when c is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26*(-5)\/(-10)*1. Suppose -552 = -2*z + 4*o + o, -4*o + 16 = 0. Suppose q = -q + z. Calculate the highest common divisor of c and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4977928 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 16*x - 17. Let n be l(-14). Suppose n*z - 8*z - 9 = 0. Let s(i) = -i**3 + 5*i**2 - 2*i - 2. Calculate s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1314 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*k**3 + 38103*k**2 + 1872547 wrt k?\nAnswer: 84*k**2 + 76206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 42780?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (402\/(-268))\/(6\/(-332))*1. Suppose z = 3*j + 240, -5*j - z - 411 = z. Let i = f + j. Solve -s = i*c, -c = s - 0*c - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 41*u - 77. Give k(5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 0.4, 79, -14, -0.4, 0.2, 1\/66?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q. Let u(m) = 23*m. Let b(j) = -2*u(j) - 5*v(j). Let x(k) = 18*k. Calculate b(x(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6 + (2 - 3 + 2)*(2 - 5 + 2))*(-1 + 5 - 1)*(-2 + 4 + 5)*(-5*q**3 + 0*q**3 + 2*q**3).\nAnswer: 315*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f - 60. Let d be l(-11). What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 4*u**2 + u - 2. Let i(l) = l**3 - l. Let r(p) = -3*i(p) - s(p). Let n(h) = -h**3 - 6*h**2 - 5*h - 6. Let x be n(-5). Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16493.32 - 110.68. Let x = q + 16784.89. Let h = -180 + x. What is h rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40512*c**2*y + 14*c*y - 11*c - 56*y wrt c?\nAnswer: -81024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*s + 12238 = -6293 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 1. What is the lowest common multiple of 10 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*o**3 + a**3*o - 765*a*o - 1381*o**3 - o wrt o?\nAnswer: -12*a**3*o - 8286*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.475, -4\/3, 0 in decreasing order.\nAnswer: 0, -4\/3, -5.475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11558156*y**2 - 686882*y + 19 wrt y?\nAnswer: 23116312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1134144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -0.3 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*z - 6 = 0, -1224 = 3*b - 2*z - 1182 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/27 and -70\/16851.\nAnswer: 151659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896302?\nAnswer: 2, 11, 131, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - sqrt(4) - sqrt(4) - sqrt(4) - sqrt(4))\/sqrt(2) - (sqrt(10) + sqrt(40)\/sqrt(4))\/sqrt(5).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Suppose 5*u + n*l - 15 = 0, -3*u - 2*l + 4 + 5 = 0. Let r = u + 4. What is the lowest common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 4. Let l = -20 + 14. Let i be k(l). Suppose i*h + 0*h = 6. Solve -3*y - 5*n - h = 0, -n = 2*y + 4*n + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 214*o\/3 + 296.\nAnswer: -2*(o - 4)*(o + 111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:24 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1215 + 1214.9. Which is the second smallest value? (a) 0 (b) 1\/1042 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/125 - (-1 - (-3 - 26\/(-10)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/20 + a**4\/8 + 8*a**3 + 25*a**2. What is the derivative of b(z) wrt z?\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 5 + -4 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30323, -30324, -30325, -30326?\nAnswer: -30327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2609 is divided by 684?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4238688+-582253\nAnswer: 3656435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*s, 4*j - 10 = -5*s - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 8*m. Suppose -2*c - 25 = -7*c. Suppose -40 = -5*h - c. Solve -3*g = -m - h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 42 = 45. Let w be 19\/57*3\/y*0. Solve -b + 0 + 11 = 2*q, 5*q + b - 23 = w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 21. Let k be -1 + (12\/(-60) - 11\/(-5)). What is the remainder when i is divided by (-6 + 22 - 4) + k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.53 and 4?\nAnswer: -94.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101.1 - 101. Put 11\/8, o, -0.4, 2\/13 in increasing order.\nAnswer: -0.4, o, 2\/13, 11\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-3)\/(-6)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1669330 by -1669330.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkpk. Give prob of sequence kp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50+-2862780.188685\nAnswer: -2862730.188685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -7531?\nAnswer: -7531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - (-17 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245901858 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353 - -593. Is 48 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/684*-3*4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121589178?\nAnswer: 2, 3, 23, 37, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, 2\/51, 0.01, 1\/7, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1776, -1905, -2036, -2169, -2304, -2441, -2580?\n\"Answer: -w**2 - 126*w - 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116302779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22023495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 3*u - 5. Let r be (4\/3)\/(6\/9). Let t be -4*(14\/(-4) - -3). Let i(z) = 0*z**2 - 6*z + z**t + r*z + 6. Calculate -4*g(j) - 3*i(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.8 (b) -5.1 (c) -6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x + q + 1, 3*x - 2*q - 16 = 0. Suppose 0 = -3*p + 2*n + 2, 0 = p + n - 3 + 4. Suppose 0 = -x*g - p*g. Solve g = -4*a + 4 - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/17 + 186*q**3 + 6558*q**2\/17 - 357098*q\/17 - 1044780\/17 = 0.\nAnswer: -10, -3, 11, 1583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23865 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 55*f**5\/6 - 65*f**4\/24 + f**3\/3 + 234*f**2. What is the second derivative of m(y) wrt y?\nAnswer: 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, z: 4, f: 2}. Give prob of picking 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (5*sqrt(117)*-3)\/((sqrt(72) - (sqrt(72) + sqrt(72)*-6))\/sqrt(8)) + 2)**2.\nAnswer: 10*sqrt(13) + 341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 19*f**2 - 168*f - 32. Does 111 divide r(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 87058 + -86959.989. Let u = h - 98. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 117 = -n - 24, -5*p + 173 = -n. Calculate the remainder when (n\/(-3) - -3)\/(1\/1) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311286, -622564, -933842, -1245120?\nAnswer: -1556398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1026 and 101184120.\nAnswer: 101184120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2144 = 5*w, -5*w + 2*i = -999 - 1143. Let n = 430 - w. Solve 3*j - n = -14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2406 - 292 = 0. List the prime factors of g.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*v + 8. Suppose -5*q = -25, 5*q = -0*d + d - 17. Calculate the remainder when d is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 78 = 3*o, -29*o - 102 + 788 = -5*x for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -6. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/255*(-440)\/(-176).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0150996131554 and 0.5.\nAnswer: 0.4849003868446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -5*k + 5*d - 40, 5*k = -5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2. Let l(v) = 49 - v - 28 - 53. Give g(l(q)).\nAnswer: 4*q**2 + 256*q + 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - t - 6097 + 145.\nAnswer: -t - 5942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 80. Which is the nearest to -38? (a) 0 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 68. Let o be b\/2*(-36)\/10. Let p(f) = -8*f + 25. Calculate the remainder when p(o) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 76 - b**3 - 2 + 148.\nAnswer: -b**3 + 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4633 and 3239?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906805 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121722, -247697, -373676, -499659, -625646?\nAnswer: -751637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgmr when four letters picked without replacement from mrmmg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*y**3 - 251*y**3 - 247*y**3.\nAnswer: -1378*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 10862569.\nAnswer: -10862565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 4 + (1 - 3 + 4)*(3 + 1 - 2))*(-5 + 5 + 4)*(-1 + 1 + j**3).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60864.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 378 - 378. What is the second biggest value in 0.3, -1, 0.24, 1\/7, n?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 1. Let n be m(-1). Suppose -50 = -5*u - 5*r, -r + 12 = -19*u + 21*u. Solve n = -u*a - 2*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -21*j**2 - 74. Let v(y) = y**2 + 1. Let w(i) = 5*v(i) - x(i). Differentiate w(o) with respect to o.\nAnswer: 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/651*31 - -19.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose -8 = -6*g + f*g. Let s be g\/9 + 1\/(-18). Which is the nearest to 1\/2? (a) -0.3 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1445000 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from {m: 1, u: 17}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 926264327 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06155039 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/64525 and 109\/406.\nAnswer: 903350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - 2*(sqrt(1872) + -5 + sqrt(1872)) - sqrt(1872)) + 3)**2*-3.\nAnswer: -90363 + 3744*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 208*h - 4937. Give p(42).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1, 8, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 25. Suppose 16*b + 32 - 176 = 0. What is the remainder when n(b) is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17985 or 17986?\nAnswer: 17986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 2, 47, 5, 0, -4, -2 in increasing order.\nAnswer: -150, -4, -2, 0, 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40148381*v - 4 + 1 - 40148469*v + 3.\nAnswer: -88*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14589 or 14592?\nAnswer: 14592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3*9\/(-2). Suppose -12*p = -9*p - 3*v - 441, 0 = a*p + 5*v - 441. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d + d. Let i be -2 + (-1)\/d*1. Let x(u) = -u**2 + 2. Let k be x(-2). Which is the nearest to -0.1? (a) -1 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -p - 2*z, -z = 2*p. Suppose 5*t + 42 = -2*t. Let w(a) = -2*a - 10. Let k be w(t). Solve k*d = d + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5429\/(-7832) - 3\/(-8))*(-9)\/21.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 580, 1160, 1740, 2320?\n\"Answer: 580*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44351998, -44351997, -44351996, -44351995, -44351994?\n\"Answer: b - 44351999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 4*z, -5*k + 3 = -z - 16. Suppose 288 = -k*t + 6*t. Suppose t = 5*q + 6. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-91))\/(-3) + (-24)\/(-84)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*h = -3*h - 34, -3*v - h + 32 = 0. Which is bigger: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-88)\/(-14) + -6 - 166\/(-7) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 7*y + 3. Suppose -93*c = -102*c - 54. Determine z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 214*r - 88*r + 9*r**2 - 103*r + 31. What is the tens digit of b(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3*u + 14*j**3 + 2*j*s*u + 2*s*u - 4*s - 2*u wrt j?\nAnswer: 24*j**2*u + 42*j**2 + 2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*t + 30, 1498446*t - 1498449*t + 30 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -120. Solve -4*i + 8 = -s, w*i = i + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713958129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 95 = -10*m. Let h = m - -27. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -60\/77?\nAnswer: -60\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35993790 and 47530.\nAnswer: 251956530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -18.7 (c) 2\/13 (d) -1\/8 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {v: 11, r: 3, k: 4}?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/976)\/((-3)\/264*4).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 55*q**2.\nAnswer: q**2*(q + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10018.098 months to centuries.\nAnswer: 8.348415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 > -487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234147163?\nAnswer: 53, 89, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-3)\/(-5) + -1. Let r = -21871.2 - -21871.2. Which is the closest to t? (a) 2\/3 (b) -2 (c) -2\/11 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*v = -731 + 740, -i + 15 = -0*i + 4*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4) - sqrt(44)\/sqrt(11) - sqrt(4)))**2*5 + 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/14*(-2)\/3. Suppose -4*w + 4*p = -2 - 26, 0 = p + q. Calculate the smallest common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 1. Let b be x(-8). Let a be ((-9)\/6)\/((-6)\/16). Suppose a*o - 27 = b. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/8*234\/((-1118)\/(-43)))\/((-1)\/(-4)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 258\/195 - (3 + -1). Let f = 3763\/1430 + q. Find the common denominator of 103\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190307800 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 64. Suppose -756 = 50*b - 2*b - 90*b. Give z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-9))\/((1\/(-23))\/((-960)\/7360))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137.32 + -133. Let m = -0.38 + 0.7. Let f = m - g. What is the smallest value in -1\/4, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n\/(n\/(n*n**(2\/9)\/n))*n)\/(n*n*n**(-1)*n)**7 assuming n is positive.\nAnswer: n**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - -14.6. Let m = s - 15.4. Let k be (6\/(-30))\/((-1)\/3). Put 4, k, m in ascending order.\nAnswer: m, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1432053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 18234*h\/7.\nAnswer: -2*h*(h + 9117)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 31*x - 71 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-506) + (-20842)\/(-286) - (-52)\/169.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8)*((-31)\/341)\/(20\/8).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122805 (base 9) in base 4?\nAnswer: -102020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205 - -201. Suppose 5*i - 5 - 15 = 0. Sort w, i, -2.\nAnswer: w, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*a + 10 = -4*a, -6 = n - 2*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 56. Suppose -9*r = x - 6*r - 3, 5*r = -m*x + 12. Suppose -8*t + 10*t - 10 = 0. Solve x = -4*a - t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/6)\/u)\/u)\/(u\/(u*u*u**(-26)*u*u)))**(-1\/19) assuming u is positive.\nAnswer: u**(151\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -20?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = 2. Let s be (-4)\/(-84)*-51 - (-6)\/14. Is s equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933179196.1 rounded to the nearest 1000000?\nAnswer: 933000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*i - 2. Let g(b) = 3*b + i + 12 - 9 - 2*b. Let y = 4 - 11. What is g(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/11 + 3078*b**3\/11 + 1655790*b**2\/11 + 31520150*b + 19166133000\/11 = 0.\nAnswer: -485, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9130 + 9141. Let b(y) = -59*y**2 - 3*y + 17. Let z(l) = -20*l**2 - l + 6. Calculate g*z(w) - 4*b(w).\nAnswer: 16*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 1. Let y(x) = -3*x + 6. Let h(k) = 2*w(k) - y(k). Calculate h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 46*x + 68*x - 59*x - 6*x + x - x + (1 + 0 - 3)*(2*x - 3*x - x).\nAnswer: -39*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1953 (base 15) to base 12\nAnswer: -3206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 22 = 3*u, -2*u + 2257*o = 2258*o - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*a = 5, -36*h - 2*a - 14 = -40*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -71*t + 66*t, -t = -h + 85. Suppose 15*f + 30*f - 2835 = 0. Calculate the least common multiple of h and f.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 89096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 0, -11*y = -6*y + 6*v + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/54 - h**3\/9 - 18*h. Factor z(l).\nAnswer: -2*l*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9*y + 11942 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7884 + 5946. Which is smaller: -1941 or o?\nAnswer: -1941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3201*y**2 + 13071*y**6 + 1644*y**6 + 604*y**2 - 2536*y**6 wrt y.\nAnswer: 1461480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-12) - 3)*-15. Let i be (-16)\/a*(-50)\/20. Sort i, 0, 5.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*p = -13. Suppose -3*m - p = x - 2, 2*x + 3*m = -7. Let i(d) = -d**3 + 3*d**2 + 7*d - 6. Give i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -9\/5*f**5 + 0*f**3 + 5\/2*f**2 + 43 + 0*f + 0*f**4. What is the second derivative of w(u) wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a - 1. Let i be k(2). Suppose 2*l + 28 = 3*o - i, 3*l = -5*o + 128. Suppose -5*f = -o - 40. Calculate the remainder when 23 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160 + (-149410)\/938)\/(417\/(-420) + 1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)*x)\/x*x*x\/(x*x*x**(-13\/5))*(x*x**(-5\/3)*x*x)\/(x*x*x**(-1\/22)*x*x) assuming x is positive.\nAnswer: x**(-53\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0256 + 0.0856. Sort -3, x, -47.\nAnswer: -47, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -3*g - g. Suppose 0 = -3*x + x + 2*q + 52, -g = -2*x + 4*q. Solve 8*d - 32 = 4*h + 4*d, 3*h + x = 2*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -18, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 53260699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + 0.56. Let q = -0.34 + y. Sort 2, 0.3, q, 2\/17.\nAnswer: 2\/17, 0.3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244344 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12905 and 0.002?\nAnswer: -25.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 + 7*u + 6. Let k be z(-6). Sort -4, k, 5 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 33*n - 3. Let l(r) = 29*r**2 - 187*r - 17. Let q(i) = -17*a(i) + 3*l(i). Let z = -4 - -14. Let v(k) = -z*k + 2*k - 8*k. What is q(v(m))?\nAnswer: 512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 32 = -14*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 97*p**3 + 36*p - 5 + 102*p**3 + 13*p**5 + 62*p wrt p.\nAnswer: 260*p**3 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6 + 2. Find the third derivative of m**2 + 0*m**6 + 0*m**6 + l*m**6 wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487\/2 - 4469\/18. Let g be (-5 - 1)\/3 - 26382\/1380. Let l = g - -281\/23. Find the common denominator of l and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 35 = -2*o - 5, v - 2*o - 20 = 0. Let g be 2\/(-6)*((-384)\/2)\/8. Suppose -15*d + 133 = -g*d. Calculate the remainder when d is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -813, -806, -787, -750, -689?\n\"Answer: l**3 - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 446 or 67361\/151?\nAnswer: 67361\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2587*x**2 + 1295*x**2 + 1291*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 68ad1b?\nAnswer: -68ad1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 - 2*u**2 + 3*u**5 + (u**4 - u + u)*(-7*u + 7*u + 16*u).\nAnswer: 19*u**5 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 874 and 5198.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 19. Determine n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180.428 - 178.428. Let o be ((-4)\/(-6))\/((-2)\/36). Which is the third smallest value? (a) o (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 1. Let q be 9 + (-9)\/o + 2. Suppose q = t - 2*n + 3*n, 3*t = -2*n + 37. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 59163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b. Let q(g) = -g**2 + 7. Let n(r) = 1. Suppose -20 = 4*c - 2*c - 4*h, 0 = -3*c - 2*h - 6. Let l(u) = c*q(u) + 28*n(u). Calculate t(l(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 50*b = -45*b - 20, b - 4 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 21.3. Let o = 89 + -90.3. Let j = p - o. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350\/(-300)*(-5)\/(-700)*5?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7745.\nAnswer: 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:57 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*q**2 + 1 - 56*q**2 - 3*q + 104*q**2 to s*q**2 + l*q + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-6))\/((-10)\/375). Let d = 269 - g. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48023.\nAnswer: 48023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -19. Let c(g) = g**3 + 9*g**2 + 9*g + 19. Calculate the remainder when 63 is divided by c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016537 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1129 + -318?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f - 4*w - 2, -5*f + 2*w + 5 = 0. Solve f + 2 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 - 4*y - 5. Let z be q(4). Let b(f) = f**2 + 25*f + 41. Let m be b(-24). Sort m, 1, z in ascending order.\nAnswer: z, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-3 + 8) - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*b**3*k + 3*b*k - 6*b + k wrt b.\nAnswer: -1194*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -15)*(-14)\/(-1078).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3*3\/(-1). Let b be -1 - (0 + r - 23). Suppose 6*j = 3*j + b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*t + 11, -8*w + 43103*t = 43119*t + 56 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = j - 2*j + 5, 5*j + 11 = -2*a. Let q(h) = a*h + 4*h + h - 6*h. Let f(u) = -15*u**2. Determine f(q(i)).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 628*f + 578. Let r(u) = -629*u - 601. Let o(c) = 4*d(c) + 3*r(c). What is the first derivative of o(n) wrt n?\nAnswer: 625","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09863421 or 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (63 - (49 - -64)) - (-1 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7485 - 4234. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2055922 and 4972?\nAnswer: 4111844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let a(c) = 0 - 4*c - 3 + 3. What is a(y(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111, 221, 331, 441, 551, 661?\n\"Answer: 110*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792 divided by 4396?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.096, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.096, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:18 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -2*(sqrt(70) + sqrt(70)*-1) + sqrt(70) - (-4*-1*sqrt(70) - sqrt(70)))\/((sqrt(90)*-3*2 + sqrt(90))\/sqrt(9)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 4. What is the least common multiple of q(0) and -4 + 7 + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 41 = -t, -3*t = -0*s - 5*s + 131. Which is smaller: t or -153\/4?\nAnswer: -153\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0015 + 29.8985. Let z = y - 30. Let x = 15 + -35\/3. Is x <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -344255255*r**4 + 170374791*r - 2 wrt r.\nAnswer: -4131063060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -18 + (22\/110)\/((-5593)\/(-559895))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**14)\/z)\/z**(-1\/7)*(((z**(-4\/9)*z*z)\/z*z)\/z)**33 assuming z is positive.\nAnswer: z**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = 10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from qggmwgw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2660 and -93\/1388140?\nAnswer: 9716980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**7\/42 - k**6\/10 + k**4\/3 - 8*k. Factor d(h).\nAnswer: h**2*(h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 730226390 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221084538.\nAnswer: 2, 3, 673, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - i = 6*c + 64, -4*i = 4. What is the least common multiple of c and (1 + 0)\/(3\/6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159220.\nAnswer: 2, 5, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145057019 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101000110011 + -1010011011111?\nAnswer: -111111100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, d: 5}. What is prob of sequence djj?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68884, -68890, -68898, -68908, -68920, -68934, -68950?\nAnswer: -68968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:32 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + o = -2, 3*o + 278 - 302 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-693) + 1\/(-14)*6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 5:08 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**3\/o)*o**2)\/(o**(1\/8)\/(o**8\/o*o)))**(-50) assuming o is positive.\nAnswer: o**(-1575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/5)*v*v**13)\/(v\/(v**(-2)*v))**37)**(-28) assuming v is positive.\nAnswer: v**(8232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 1)*(15 - 2*j - 15)*(-j**3 + 0*j**3 - j**3) - 6485*j + 6485*j + 110*j**5.\nAnswer: 102*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Let z be k(0). Suppose -5*a + 31 = 4*n - 2*a, 5*n + 4*a - 40 = 0. Put z, -5, n in increasing order.\nAnswer: -5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-23\/4)\/w**(-7)*(w**(2\/63))**(16\/9))**1 assuming w is positive.\nAnswer: w**(2963\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:03 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 78, 3, -285 in increasing order.\nAnswer: -285, -3, 0, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2495891, -1\/2, -16, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65367*0.005\nAnswer: 326.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 90*k - 2006. Let f be h(-48). Solve -5*p = j - 9 - 4, -f = 5*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/18 + 54\/243. Sort -110, r, 3.\nAnswer: -110, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1489 + 1570. What is the greatest common factor of 2133 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -43*f - 177. Calculate l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13*t - 2 + 3 + 1 as q*t + w and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.181767 millilitres to litres.\nAnswer: 0.000181767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {e: 1, w: 10, r: 3, h: 2}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-2 + 3*q - 10*q + 8*q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 7*h + 2. Calculate w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66364652591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-3 - -5))\/(-2). Is (-1256)\/(-3) - (-1)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/(b**(2\/11)*b*b))**23\/((b**4\/b)\/(b**6\/b))**35 assuming b is positive.\nAnswer: b**(1020\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 + 2 = 2*j, o - j = 6. Suppose 0 = o*r - 0*r - 25. Let m = r - -5. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, z: 1, e: 1}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2923914*g**4 - 3*g**2 + 37214?\nAnswer: 70173936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(56)\/sqrt(7)*-6 + 1)*-1.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38359.02ml in litres?\nAnswer: 38.35902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3906194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - k**2 - k - 1. Let f(y) = y**4 - 3073*y**3 + 6*y**2 - 23*y + 11. Let c(h) = f(h) + 6*u(h). Find the second derivative of c(z) wrt z.\nAnswer: 12*z**2 - 18510*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7537 + -6924.08. Let g = w - 597. What is g rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -8, 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 4, u: 2, b: 2, k: 2, p: 1}. Give prob of picking 3 v and 1 b.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238*i + 21301 + 8086 = -6515 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112331*-0.5.\nAnswer: 56165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z = -448. What is the highest common factor of z and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43052 - -43103. What is the nearest to 1\/2 in -3\/8, 0.28, j?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 - 3240*v + 524880 = 0?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79575.\nAnswer: 3, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14632980 and 1463298?\nAnswer: 14632980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4320*y**2 - 17*y + 14. Let o be 86 - ((-21)\/3 + 3). Suppose 6*l + 18 = -o. Let g be q(l). Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -262, -404, -542, -676?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 2069 + 2153 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7945 at most 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 23*y**2 + 17*y - 69. Let k be a(20). Is -928 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068264.\nAnswer: 2, 71, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003 a factor of 245056663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 183, 459, 851, 1353?\nAnswer: 1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13114, 13121, 13136, 13159, 13190, 13229, 13276?\nAnswer: 13331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -2.456?\nAnswer: -2.456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:59 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 302600 + -103?\nAnswer: 302486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 5*g**3 - 104)*(0 + 22 - 6).\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:43 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - -135. Let g = m - -2908. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10601024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*u + x, 0 = 86*u + 3*x - 111 + 117 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 - 12 = 0. Suppose -5*p + 0*p = x - 34, -5*p + 32 = 3*x. Suppose -p = -4*n + h*v + 1, -4*n - v + 28 = 0. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-9))\/((165\/(-10))\/(-11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -6 (c) -4 (d) 0.01 (e) 158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180015 + 141381 + 33247 = o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(c - c + c)*(-1 - 3*c**2 + 1).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**3 - 307*o**2 - 11*o + 92. Let s be i(-41). What is s rounded to the nearest 100?\nAnswer: 35800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11976 - 9074 = 0. Let q = a - -6059. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36818*q**3 + 61249?\nAnswer: -110454*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1818?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -96, 878 in decreasing order.\nAnswer: 878, -20, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -19305.\nAnswer: 1\/3861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -22, 122 in descending order.\nAnswer: 122, 17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(33) + 2*(-2*sqrt(33) - sqrt(33)))\/((sqrt(165)\/sqrt(3))\/sqrt(5)).\nAnswer: -5*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 6 = 15*l. Suppose -2*t = l - 6. Is 1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996216 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18491 - 18487. Suppose 0 = -7*t + 2*t. Sort v, 2, t, -4 in descending order.\nAnswer: v, 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2*k**2 + 1\/2*k**3 + 5*k - 1\/12*k**4 + 0. Let q(c) = -5*c**2 + 16*c + 21. Calculate 11*m(s) - 2*q(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 2*h - 3*h)*(h**2 - 1 + 1) - 5*h**3 - 2*h**3 - 15*h**3 in the form r + d*h**2 + w*h**3 + n*h and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 841\/(-29))\/((-1)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2471 + 4001. Does 70 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41204100 to the nearest one hundred thousand.\nAnswer: -41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844348641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497984190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1619499 litres to millilitres.\nAnswer: 161.9499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 + 6*k + 3. Let h be i(-4). Let u = -11 + 20. Let p = u - -9. What is the highest common factor of p and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -963 + 965. Which is the closest to w? (a) 0.1 (b) -3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:01 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*a. Let t be 4\/(-6) - (-60)\/9. Let q(u) = u - 2*u + 0*u + 0*u + t*u**2. Calculate q(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 62.1. Let h = 0.25 + -5.45. Let m = h - -5. Which is the second biggest value? (a) m (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 20*j - 155 = -25*j - 34, 4*j - 5 = 3*j for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 4*r**2 + 2*r**2 - 18 - 2*r**2 - 12*r. Let b be w(-10). Let a(m) = -13 + b*m + 27 - 14. Let f(j) = -42*j. Calculate f(a(k)).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3039 or -73742?\nAnswer: 3039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -325.9, 0, 0.4 in ascending order.\nAnswer: -325.9, 0, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 = 3. Let z(g) = g**2 - 8*g + 3. Let m be z(j). Suppose 8*t - 445 = m*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 23*m - 22 = 27*m, -20 = 2*s + 4*m. Sort 1, 3, -3, s, 30.\nAnswer: -3, 1, s, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470997639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 0*r)*(2*r - 3*r + 9*r)*(-3*r - 5 + 5) + 2*r**3 - 4*r + 4*r.\nAnswer: 50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.030375.\nAnswer: -0.273375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1007 (base 8) to base 3.\nAnswer: 201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/257591 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10142 divided by 5071\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -40. Let a(s) = -s**3 - 2*s**2 - s + 4. Let v be a(-4). Calculate the highest common factor of v and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6880 and 2144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*12\/1764)\/1*(-150)\/10.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 207.31 millennia?\nAnswer: 207310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10562369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s**2. Let y(p) = 3*p. Determine m(y(j)).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2.9 (c) -12 (d) 4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1241 - 1242. What is the third biggest value in -5, 0, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577035417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-135)\/(-30)*(-152)\/(-57).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3168033423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-20)\/25*5\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714232 is divided by 576?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*s**3 + l*s - l - 710006*s**2 - 826*s + 17 wrt s?\nAnswer: 6*l*s - 1420012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146\/27 + -104\/27. Determine v so that b*v**2 - 4\/9 - 2*v**3 - 10\/9*v**4 + 2*v = 0.\nAnswer: -2, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19779, -19768, -19745, -19704, -19639?\nAnswer: -19544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 581\/7553 + (-1 - 61\/(-52)). Let -1\/4*a**3 + 1\/4*a - 1\/4 + n*a**2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/20 - 243\/(-4). Let p = n + -37. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475300 divided by 4?\nAnswer: 118825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.8. Sort 2\/9, -4\/9, w.\nAnswer: -4\/9, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 + -35.1691.\nAnswer: -290.1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 i when four letters picked without replacement from {i: 1, b: 2, s: 1, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777361 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1725781075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = -47. Let l be (1 + n\/7)*(-2 - 4). Which is the biggest value? (a) -4\/7 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345*h**2*m + 33*h - 38*m - 462 wrt h.\nAnswer: -690*h*m + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q + 14*q + 14*q - 10 - 5*q to m*q + k and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1995577 and 32.819.\nAnswer: -1995544.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.99999968 - 33. Let d = 0 + p. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625444 is divided by 193.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51686201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17 = 2*t - 7, -2*i - 4 = 2*t. Is t\/(-1) + 5 - -973 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -75. Suppose -o + 5*j - 1 = -6, -3*j + d = 5*o. Sort 4, 2, 0.1, o in decreasing order.\nAnswer: o, 4, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2493 + 431. Suppose -1159 - c = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**25)\/t**(-2\/37))**29 assuming t is positive.\nAnswer: t**(-25694\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1113 and 79534238.\nAnswer: 238602714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqg. Give prob of picking 1 q and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-155 + 187)*(-5)\/(-8). Solve 0 = -2*a - 5*r + f, -19*r - 20 = 5*a - 24*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 6\/167636041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67707858 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/120*1*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 83. Which is the nearest to -3\/2? (a) w (b) -0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-144) + 1\/(-8)*-151. What is r rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -36, -1\/2, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501936966.\nAnswer: 2, 3, 241, 38569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-39 - -34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4592, -9184, -13776, -18368, -22960?\n\"Answer: -4592*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -6*y + 978. Suppose -9*s = -y - 56. Calculate the highest common divisor of s and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 66209175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -5388029.\nAnswer: 3\/5388029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2749*a = 2734*a - 105 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*n - 557*n - 75 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1112 and -11\/28.\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 53 in decreasing order.\nAnswer: 53, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/17270 and 93\/3140.\nAnswer: 34540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -5\/316, -0.4, -5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*p = 2*m, -3*p = -3*m + 12. Solve k + 7 = 5*w - 0*k, -4*w = k - m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 41*p + 23. Let s be c(4). Let j = -29 + s. What are the prime factors of j?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 - 11*k**2\/6 + 8*k\/3 + 160\/3.\nAnswer: -(k - 5)*(k + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5231369 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55581.\nAnswer: 3, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-72)\/(-918)*-6*2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 59\/2, 5, 1\/7, -1\/5, -4\/7, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-3 - (-4 + 2)) + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.825289 - 0.1?\nAnswer: -17.925289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -16*i + 41. Factor 15\/2*v - 21\/2*v**2 + i.\nAnswer: -3*(v - 1)*(7*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 1162 = -210*w + 1478 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57041.\nAnswer: 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:07 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuiuiirruuu. Give prob of picking 1 u and 2 i.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24551412 is divided by 1435.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-22))\/y*y)**(-2\/45)*(y*y**(4\/3)*y)\/((y**29\/y)\/y) assuming y is positive.\nAnswer: y**(-341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 2*a + 2*a)*(2 - 3 + 0)*(2 - 6*a**2 - 2) to the form o*a + p*a**3 + b*a**2 + m and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-2)\/(-12))\/(806\/(-27404)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312 + 0 + -5 - -1.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/5040 - u**6\/72 + 3*u**5\/10 - 5*u**2. Let v(r) be the third derivative of d(r). What is v(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 3 + 3)*(-85 - 10 + 8) + z - 3*z + 3*z to the form x*z + k and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**3*x**4 - 2*j**3*x**2 - 4*j**3*x + 126*j**2*x**2 - 11220*j*x**6 + 24*j*x**2 wrt x.\nAnswer: -120*j**3*x - 1346400*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 509656 and 8204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -4*z**3\/3 - z**2\/2 + 28*z + 56. Differentiate b(y) with respect to y.\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*q - 205, 4*j - 2*q + 4*q - 730 = 0. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2852856 + 0.585285. Let j = d + 0.7. Round j to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.512126 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15542559 by -9.\nAnswer: -1726951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5448 and 3140772.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21304 and 5560344.\nAnswer: 5560344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/(-34)*(12\/5)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -3*u - 6, -h = -u - 1. Find the second derivative of -u*w - 4*w**3 + w**3 - 40*w + 11*w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100221110 - -3210?\nAnswer: 100230320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j + 1. Let a be q(-2). Suppose -5*b - 3*x + 15 = -29, b + 4*x - a = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = 51*t - 99*t + 266 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 9*m**2 - 46*m + 180. Calculate f(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34e3b3 (base 16) to base 13\nAnswer: 9448ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Suppose 0 = -3*y, q*h - 2*y = -3*y - 825. Let r be (-308)\/h - (-4)\/(-6). Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:08 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + x**2 + 2*x + 1. Let y(d) = 6*d**3 + 8*d**2 - 22*d + 13. Let p(w) = -5*f(w) - y(w). What is p(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 370787.5 weeks?\nAnswer: 3737538000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 81*m + 78*m = 13833, 2*m - 10362 = -3*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46566 (base 7) to base 4\nAnswer: 2322303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (55 - (15 + 28)) + (-90)\/8. Sort c, -1\/2, 73\/5 in decreasing order.\nAnswer: 73\/5, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 2 + r + 3*r + 5)*(-5 + 6 + 9) in the form v*r + z and give z.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuunuuuu. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30374\/11 + -2765. What is the common denominator of d and 55\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 10230402?\nAnswer: -10230412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x + 8. Let r be u(2). Let d be (0 - (4 - 1 - r)) + 522. Round d to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -69\/7 (b) -8\/5 (c) 0 (d) 5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -94 and -1960.\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 347. Let n be h(-13). Solve 3*q - 3 = 0, -n*t + 2*q - q = -19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169\/9 != -42\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 4*r - 3*r + 44 - 44 + 77*r + (5 - 2 - 4)*(-r + 3 - 3) - 2*r + 0*r + r.\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*-5.\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Let w be 8\/n - 2 - (-144)\/135. Which is greater: w or 0.032?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120 divided by -3060?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/5, 4, -0.1, 1, -221?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14213 and 466?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 143 = 17*t, -2*d + 16 = 11 - 5 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 20\/9, 2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 21 + 0*q - 2*q.\nAnswer: -2*q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*s - 15 = 0, -3*s + 10 = 3*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 422\/15*w**3 - 7628\/5*w**2 - 2\/15*w**4 - 43264\/15 + 65728\/15*w = 0.\nAnswer: 1, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2007)\/(-18955))\/(((-9)\/(-5))\/3)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54348511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*h + 2*n - 4*n, 4*h + 5*n = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/65, 5, -1 in descending order.\nAnswer: 5, 2\/65, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/24 + j**3\/3 + 3*j**2. Let x = 11 - 4. Does 9 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5420 + -5424. Let p be 1\/4*(-40)\/(-25). Which is the smallest value? (a) 0 (b) y (c) -25 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 40*z = 62*z + 544 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -5*z**4\/24 + 5*z**3 - 41*z**2. Let u(m) = -1. What is -f(q) - 30*u(q)?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 7 + (-5 + 3 + 4)*(0 - 1 + 2))*(-z**5 + z**3 + 0*z**5 - z**5).\nAnswer: -20*z**5 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -54. Suppose 0 = -d - 11 - 3. Let b = t + d. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 55*w - 2*w**3 + 4*w**4 - w**2 - 55*w to s*w + k*w**4 + p*w**3 + h*w**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 23084421*a + 23084424.\nAnswer: -3*(a - 1)*(a + 7694808)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676664963 to the power of 1\/3, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.4 - -24.5. What is the third biggest value in -0.4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*(-2)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*m**2 - 3749*m - 62.\nAnswer: (m - 31)*(121*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54516881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466650 and 280500.\nAnswer: 51331500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/7 + 8564*f**2\/7 - 382030*f\/7 + 423700 = 0 for f.\nAnswer: 10, 35, 4237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91246945?\nAnswer: 5, 18249389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 24 - 13) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 92. Let y be (123\/(-4))\/(25\/(-100)). Are y and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/2 + b**3\/6 - 37*b. Let v(w) = w**2 - 1 + 4 - 3. Give -u(s) + 5*v(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1583779 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 0 + 0*y**3 + 0*y**2 + 3\/2*y**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1558408142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -694*q + 692*q + 19, -16 = -2*q - 15*x + 17*x for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 381*r - 21343. Give g(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 2, q: 1, l: 1}. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**4 - 80*d**3 + 2*d**2 + 635*d + 29385585 wrt d.\nAnswer: -8*d**3 - 240*d**2 + 4*d + 635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*y + 97*y - 427*y + 64*y**3.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4630 = -858*x - 4808 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -107*o**2 - 6*o + 12. Let x(w) = 18*w**2 - 2*w + 2. What is d(y) - 4*x(y)?\nAnswer: -179*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(8) + (sqrt(2) - sqrt(98)*-3).\nAnswer: -5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.028 times 0.4?\nAnswer: 12.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + i = 1, 10 = -692*v + 687*v - 5*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 670729440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 5*m - 4. Let o be b(-4). Suppose 0 = 3*n, 6*x - 4*n = 2*x + 4. Suppose -2*q + 6 = q, 0 = 5*k + 5*q - 20. Solve -u + k + x = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12164631 is divided by 296698.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1275236 + 2100136. Round a to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/60 + p**3\/18 - 11*p. Find u such that c(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 7*c + 10. Suppose m - 4 = -12. Let u be k(m). Suppose x = 4*x - 6. Solve u*l - x - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5293 is divided by 274.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111001111 (base 2) to base 4.\nAnswer: 1133033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 512 = 11*s. Let k be (s + -15)*(3 + 1). Let i be 1\/2 - 5\/10. Solve i = k*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 176 = 180. Put -10, u, 2 in increasing order.\nAnswer: -10, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3\/8, -1\/8, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 10:52 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 7. Let w = l + 6. Let j be (-4)\/(-14) + 60\/(-63). Sort w, j, 2 in decreasing order.\nAnswer: 2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 10*o**2 + 14*o - 22. Let l be g(-7). Are l and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 128420841982 and 0.424.\nAnswer: 128420841982.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -7, 2 in decreasing order.\nAnswer: 5, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((4 - 2) + -5)) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -50*c - 13. Let b(d) = -51*d - 16. Determine 5*b(a) - 6*o(a).\nAnswer: 45*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/42*-4*(-63123)\/(-2120). Let x = 51\/10 + o. Which is the closest to 2\/5? (a) -5 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 185535696?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1876*r**5 + 13*r**3 - 2*r**2 + 85842*r wrt r.\nAnswer: -37520*r**3 + 78*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, 5 in decreasing order.\nAnswer: 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/33? (a) 2 (b) 50 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 5*y**2 - 12*y + 8. Let w(g) = g**3 - g + 1. Let t = -17 + 5. Let n(c) = t*w(c) + 3*d(c). Suppose n(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/3 - 3*j**2 + 49*j. Suppose 3*o + 48 = u + 2*u, 50 = -5*o - 5*u. Calculate the remainder when 57 is divided by g(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*s - 86*s + 132. Suppose s*m = 32*m + 16. Suppose 4*b - t - m = 0, -5*t + 40 = 8*b - 4*b. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = -5*q. Suppose 0 = -3*d - 5*a + 31, -5*d + a + 11 + 50 = 0. Let x = d + -6. What is the remainder when q is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32504439 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.3. Let t = -34.9 - -37. Let c = -2 + t. Do c and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1164599797 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(d**2 - 4*d**2 - 2*d**2).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/3 + (-2)\/(-6). Suppose 8 = -2*c - 2*u + 2, 5*c - u + r = 0. What is the closest to 2\/7 in c, 0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1184 + -1187. Suppose 0*n = 5*n. Suppose 0*m + 2*m = -4. Sort n, m, z in decreasing order.\nAnswer: n, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*d - 74*d**2 + 5580 - 55*d**2 + 98*d**2 wrt d?\nAnswer: -62*d + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6483*t. Let s(h) = h. Determine b(s(d)).\nAnswer: -6483*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446413 is divided by 361579?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7490000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 5. Suppose -66 = -3*y - 0*y. Let g be (-4)\/22 + 444\/y. What is the highest common divisor of g and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 10*u + 20. Calculate the remainder when 194 is divided by s(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14164.3 - -14164. What is the nearest to 14 in -1\/4, 0, -0.4, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -f - 15, 3*f = m + m - 62. Calculate the common denominator of -40\/33 and (-6)\/f*(-305)\/18.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 + 4*q**2 + 8*q + 135. Let v(s) = -s**3 - s**2 - 2*s - 1. What is t(z) + 4*v(z)?\nAnswer: z**3 + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 6 = 11*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7848 - -2?\nAnswer: -7846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628.95575 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/12*88\/(-33). Let a = 0 + -2. Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 3 + 3 + (2*q - 2*q + q)*(q + 0*q - 3*q) - q**2 + 2*q - 2*q - 6 + 10*q**2 + 6 + (-q + q - 2*q**2)*(2 - 3 - 1) - 21*q**2 - 59 + 59.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 34607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*x + 145 - 145 + (1 + 2*x - 1)*(-3 + 3 - 2))*(2 - 1 + 0) - 4*x - x + 3*x in the form i + t*x and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 - 2*h**2)*(27302 - 2038 + 9141 + 9773 - 1810).\nAnswer: -42368*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + 0.04. Let h = f + 0.83. Is 0.1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3185*i**2 + 4*i - 45. Suppose -14*f = -3*f - 55. Let p be h(f). What is p rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -76. Suppose w - 23 = -g, -4*w - 6*g + 5*g = -92. What is the remainder when r is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2181243.9 nanoseconds to minutes.\nAnswer: 0.000036354065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780432 (base 9) to base 7.\nAnswer: 3651065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 10*j - 11. Suppose -234 = -4*m + y, 0*y - 4*y - 287 = -5*m. What is the remainder when m is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313899 is divided by 313222?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 15*p + 189. Let b be w(8). Let t be (-24)\/18*(-6 + 0). Solve -o + 6*o = -3*r - t, -2*o = -b*r + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6480 divided by -120\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(26) - sqrt(78)\/sqrt(3)) - (sqrt(26) + sqrt(416))*4)\/((sqrt(90)\/sqrt(5))\/sqrt(9)*-4).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15))**(2\/71)\/(((h\/(h\/h**14))\/h)\/((h*(h**1\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-14906\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33756043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2.21468.\nAnswer: -11.0734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -129 (b) -4 (c) 6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.5 - -11. What is the second smallest value in -4, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52667139 and 51?\nAnswer: 52667139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 33. Let u = -6 + a. Suppose u*v = -4*g + 14, 2*v - 6*v + 6 = -2*g. Solve -i + 0 = v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-43)\/((-49665)\/70))\/((-4)\/(-132)). Let w = 1.9 - 2. Which is the nearest to w? (a) -0.12 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*k = 814*k - 233*k - 2620 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34223 divided by -6595?\nAnswer: 34223\/6595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(11)*-1 + (-3*sqrt(11) - sqrt(11))*-2)*-2)**2 + ((3*sqrt(891))**2 + sqrt(11) - (-3 + sqrt(704))**2).\nAnswer: -231*sqrt(11) + 9562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 46. What are the prime factors of h(23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 181.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 118, 289, 538, 871, 1294, 1813, 2434?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 15*h**2 - 5*h - 4. What is t(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -3805*h**6\/6 + 84*h**2 - 6*h + 2856. What is the second derivative of a(r) wrt r?\nAnswer: -76100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681678 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -e36 (base 15) to base 16\nAnswer: -c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8652 and 2623.\nAnswer: -6029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001286 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f. Which is smaller: f or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 - (5 - (0 - -1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*r**5 + 64*r + 1792\/9 - 976\/9*r**2 + 236\/9*r**3 - 2\/3*r**4 = 0. What is r?\nAnswer: -14, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -40 - 68. Let z = s + -29. Let q(c) = -2*c - 3. Determine q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29221 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 711*m**2\/4.\nAnswer: m**2*(m + 711)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - j - 6 = q, -3*q + 2*j = 18. Let y be (-2)\/(0 + 3\/q). Solve 0 = 2*h + y + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 divided by -6?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1808354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p + 72. Let c be f(22). Let x = -374 - c. Let h = -76 - x. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 7)*(0*q**5 - q**5 + 4*q**5 + (-q - 1 + 1)*(2*q**4 - 2*q**4 + q**4) + 5*q**5 - 3*q**5 + q**5 - q**5 - q**5 + q**5) + 5*q**5 - 2*q**5 - 5*q**5.\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:18 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2))\/sqrt(10) + -4 + sqrt(3) + 0.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 5, l: 1, c: 2, m: 6}. What is prob of sequence amm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2290758\/515 + 4448. What is the common denominator of y and -167\/30?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39207 and 14936?\nAnswer: 313656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2*f = 36. Suppose k + f*k = 238. What is the remainder when 132 is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/4 - 85*v**2\/4 - 2067*v\/4 - 10647\/4 = 0?\nAnswer: -39, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -5, -3\/10, 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21053590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5260, -1, -5 in increasing order.\nAnswer: -5260, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22774029 - -4?\nAnswer: 22774033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 143 = -3*j. Calculate the greatest common divisor of 539 and j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -13386?\nAnswer: -1337c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3805952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 5d?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8718\/36 + 2\/(-12). Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/43)*w*w*((w\/((w*w**(1\/8)*w)\/w))\/w*w*w)\/w)\/(w**(-3\/4)*w)**(-30) assuming w is positive.\nAnswer: w**(3553\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/432*(-54)\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {g: 7, w: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o)\/o**(3\/5)*o**(-1\/6)\/(o\/(o\/(o\/((o**8\/o)\/o)*o))) assuming o is positive.\nAnswer: o**(217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-102))\/(105\/12)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -53*l - 647. Determine r(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29969 = 123*z - 34766 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -5, -2, 1\/5, -5\/3 in descending order.\nAnswer: 1\/5, -4\/3, -5\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)*y*y\/((y*y**(-5))\/y)*((y\/(y**4\/y))\/y)\/y*y\/y**(-1) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.9 * -181371.\nAnswer: -3246540.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 770, 4\/25, 2\/13 in increasing order.\nAnswer: 2\/13, 4\/25, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/3 - 3454*q\/3 - 2982529\/3 = 0. What is q?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = -0*o, 0 = -3*x + o - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8645 (b) 9 (c) -1\/7 (d) -0.3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166187701300 rounded to the nearest 1000000?\nAnswer: 166188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -8252688.\nAnswer: 8252687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h + h)*(-2*h + h + 2*h) + 123*h**2 + 0*h - 159*h**2 - 1 + 3*h to z*h**2 + l + b*h and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-21))\/(-3)*13\/((-91)\/35).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12213320 (base 4) in base 12?\nAnswer: 13848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63269399533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12497478 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -54. Let z(i) = 12 - 2*i**2 - i**3 - w - i**2 + 4 + 3*i. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/70*(-616)\/528\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*c + 218 = -206, 544 = 5*t - 2*c. Suppose -7*v - 11*v = -t. Solve -5*i + 6 = 3*a, -v = -2*i + 2*a - 5*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(4*(-5)\/(-2160)). Let h be (p\/63)\/(2\/7). Determine g, given that 0 - 1\/5*g**3 - 4\/5*g**2 + 4\/5*g**h + 1\/5*g = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.946228 nanometers in millimeters?\nAnswer: 0.000005946228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -97 - 46*r + r**3 + 262 + 5*r**2 - 125 = 0.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18694, 18178, 17662, 17146, 16630, 16114?\n\"Answer: -516*x + 19210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyoy when four letters picked without replacement from ynllynyonyflnny.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/1680 - f**6\/360 - f**5\/12 + 3*f**2. Let w(u) be the third derivative of z(u). Calculate w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 200, 305, 410, 515, 620?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 + 5*h**4\/24 - 5*h**3\/6 - 2*h**2. Let a(k) = k**2 - 7*k + 7. What is 5*a(t) + 7*y(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffgfffgffffffgffgf. What is prob of sequence gfg?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-754 - 12*d + 754)*(-2 - 3 + 6).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-236)\/(-10) - (-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 29 = 3*n + 3*z, 2*n - 13 = -3*z. Let q be 16\/(-9)*(-6)\/n. Let j = -60 - -479\/8. Which is the nearest to -1? (a) j (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 2, w: 4, m: 1, h: 1}. What is prob of picking 1 w, 1 m, and 2 p?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Suppose d + 8 = b. Let a = b - -1. Calculate the greatest common divisor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 times -5?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*r**2 + 554*r**2 - 5364*r**3 + 5304*r**3.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 6838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let h(p) = -1946*p**2 + 3. Determine a(h(m)).\nAnswer: -1946*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/11 + 2089*k**2\/11 - 651306*k\/11 - 1310976\/11 = 0.\nAnswer: -2, 384, 1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -4. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317750.0587102 + -25\nAnswer: -317775.0587102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*w + 27 - 7, -3*w - 12 = 0. Suppose 9*h - 20 = 5*h, d = -3*k - 5*h + 31. Solve 6*z - 7*z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(9\/2)\/c*c*c**8*c)**(-2\/67) assuming c is positive.\nAnswer: c**(-27\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 50, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 669.62 + -669.62. Let j = 0 + 3. Sort -1, m, -0.5, j in descending order.\nAnswer: j, m, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 92 + 160 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20056765 + 20056765 + 5112*j.\nAnswer: 5112*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 3, a: 13}. What is prob of picking 2 a?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12583200 to the nearest integer?\nAnswer: 3547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-20)*4*(-2)\/(-24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -206*l - 602. What is r(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3\/(-9))\/((-183)\/2379)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3*(-1)\/3). Suppose r = k - 0*k + 86. Let y = k - -180. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 49, -5\/3, 3\/5, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18794.2 and 0.05.\nAnswer: -18794.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/69 - -41\/345. Let r = -0.9368 + 0.8268. What is the second biggest value in 0, r, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**7\/105 + 175*m**6\/24 + m**5\/60 + 23*m**3\/6 + 2*m**2 + 462*m. What is the third derivative of c(d) wrt d?\nAnswer: -48*d + 5250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634238300?\nAnswer: 2, 5, 31, 109, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 294 + 404378?\nAnswer: 404672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + (-6)\/(-20). Let n = f + 131\/630. What is the second smallest value in n, -0.3, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13055.4397 to the nearest 100.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 5*o**2 + 3987*o**3 + 0*o**2 - 3988*o**3 as m*o**3 + g*o + p*o**2 + w and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.06, 1\/3 in ascending order.\nAnswer: -0.06, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b (base 13) in base 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 225 = g + 4*g, 4*i = -3*g + 163. Suppose -g = -2*n + 33. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 5. Suppose 0 = -y + 4*y + 33. Let x(v) = -4*v. Let s(l) be the third derivative of 7*l**4\/24 + l**2 + l - 2322. Give w*s(c) + y*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 + 9*o + 1. Let b be q(-3). Let h = b - -107. Solve h = 7*u - 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 3*r + 5*r)*(17932 + 3990*r + 6948*r - 17932 + 8498*r).\nAnswer: -19436*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*8\/28)\/(2\/(-14)). Solve 0 = -j + 5*j - f*l, 3*l = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11250282*f**2 + 2*f**3 - 11250282*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**2. Let t(y) = 19*y**2. Let l(c) = -5*f(c) - 3*t(c). Let w(r) = -2*r**2. Calculate l(w(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 3*s**2\/2 - 1. Let d(p) = -6*p - 58. Let v be d(-8). Let g = v - -12. Give m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 118505.\nAnswer: 16590.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2030*h**3 + 695*h**3 + 574*h**3 + 610*h**3.\nAnswer: -151*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-62) - (-14)\/(-12))\/(5\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 27 = 4*g, -2*g - 17 = -55*z + 124*z - 66*z + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931802133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 215*o + 320. Let g be i(-106). What is the nearest to 0 in -0.5, -4\/5, -6, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 0*q**3 + 0*q**3)*(-86 + 31 + 35).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 86*u + 166. Let i be b(-41). Solve 5*q - 6 = q + 2*p, 0 = i*q + 4*p + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/((-22)\/506). What is the derivative of -114*f + r*f - 4*f + 15 - 81*f wrt f?\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 369 + -5537\/15. Let j = -151 + 305\/2. What is the closest to 1 in 2, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m - 65*m - 2*t + 66 = 0, m - 179 = -7*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251643443 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 564*c**2 - 552*c + 1120 = 0.\nAnswer: -140, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3058, -25735, -87480, -207889, -406558, -703083, -1117060?\nAnswer: -1668085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(2\/11)*k)*k*k**(2\/21))\/((k\/(k*k**(-3)*k)*k)\/k**(1\/14))*(k*k\/(k\/k**(2\/3)*k*k))**(1\/27)*k*k**(-2)\/k*k**(2\/19) assuming k is positive.\nAnswer: k**(-120487\/33858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250 - 64*x - 485 + 245 + 217*x to the form d*x + y and give d.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*k = -v - 9, -6 = -2*k. Let d(z) = 2*z**3 + 2*z**2 - z + 2. Let r be d(v). Solve 3*o - 2*o + r = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**9)\/v**(1\/13)*(v\/((v*v*v\/v**0*v)\/v))**(-7\/5) assuming v is positive.\nAnswer: v**(827\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110111?\nAnswer: 1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.563 - -4.563. Sort a, -4, -0.147.\nAnswer: -4, -0.147, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - z + 6. Let c = 6 - 3. What is the smallest value in c, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/39 and 109\/1702410.\nAnswer: 22131330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 - 10*v**4\/3 + 20*v**3 + 220*v**2\/3 - 58*v\/3 - 70 = 0. Calculate v.\nAnswer: -7, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2492562\nAnswer: 1246281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n\/(n\/n**(-5\/4)))*(n*n**3\/n)**38)**(-3\/23) assuming n is positive.\nAnswer: n**(-9657\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-2 - -6 - 0) + (-103 - -104)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746012?\nAnswer: 2, 686503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*u - 681*u - 167*u + 1025*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 - -210?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 + -6.3. Let x be 2\/9 + 439\/(-72). Let l = x + 6. Which is the third smallest value? (a) l (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1529081316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14134115 (base 7) in base 2?\nAnswer: 101000010001010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 11. Let g be x(-8). Let w(u) = 5*u - 45. Let l(i) = -i + 9. Let m(p) = 11*l(p) + 2*w(p). Let b(q) = 4. Determine g*m(j) + 7*b(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 338?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*-2 - 154\/(-4). Suppose 5*c = 15, -n - 115 = 3*f + c. Let v = -50 - f. Solve 0 = a + a + 4*d, -v*d - 24 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 1\/3*q**3 - 3*q**2 - 4*q + 3. What is p(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 11. Let u be q(-11). Let f be ((-12)\/(-10) + u)\/2. Let j = 1.2 - 1. Which is the smallest value? (a) j (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/1)\/((-3 - 2) + 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 3*m**5 + 0*m**5 + (m - m - m**3)*(3*m**2 + 2*m**2 - 3*m**2) - 2*m**4 + 2*m**4 - 2*m**5 + (0*m**2 + m**3 + 0*m**2)*(2*m**2 - 13 + 13).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 47. Suppose -16 = k + l. Which is greater: -28 or k?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -v, 17 = 5*n - v. Let d = -261.004 - -259. Let k = 0.004 + d. Are n and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615292303 and 909.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 8*v**2 - 9*v - 6. Let d be h(5). Suppose -a - 12 = -5*a. Calculate the highest common factor of a and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 9. Let o be y(-10). Let s(p) be the second derivative of 0*p**2 - 1\/6*p**4 - 65*p + 0 + 1\/6*p**3. Determine s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -30*(2 + 15\/(-6)). Suppose u = s + 2*s. Suppose s*f - 8 - 52 = 0. Solve 0 = 3*v + 5*x - 0*x - f, -x + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.09, -1, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 37*d + 113 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57b + 13?\nAnswer: 58e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.16. Let d = g - 4.84. What is the third smallest value in 5, -0.5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose a = -1 - b. Let j be 1\/(4\/(-5) - a). Solve 9 = 4*v + d, -27 + 6 = -2*v + j*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2)*7*(-3)\/63.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17695 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611\/2369352 - 5\/8808. What is the common denominator of b and 107\/3766?\nAnswer: 22596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 + 1098*l**3 + 51636*l**2 + 99990*l + 49449 = 0. Calculate l.\nAnswer: -311, -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s + 3*s**4 + 0*s**2 + 16\/3*s**3 - 4\/5*s**5 - 12. Find q, given that g(q) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - 76*l**2 + 582*l - 8. What is the lowest common multiple of i(13) and 609?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45963, 91877, 137793, 183711?\n\"Answer: b**2 + 45911*b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7531 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/6 (b) -1 (c) 36139 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -41 - ((1 - 3) + 1). Let h be k\/(-12) + (-1 - 0). Let x be 2\/10 + (-9)\/(-5). Is h <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 + -1.1. What is the second biggest value in 4\/9, -1\/5, t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34980 is divided by 5410?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m - 1572214 = -1574795 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 999321 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044466 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 12. Suppose 0 = u*f + f - 55. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*j - 73*j - 256 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 27 = 20*v. Suppose v*f - 75 = 6*f. Does 16 divide (-80)\/f*((-45)\/3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 2*u**2 + 5*u**2 + (13*u - 13*u + 3*u**2)*(-2 + 3 + 2).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/6988150 and -145\/4056.\nAnswer: 83857800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 5*p**2 + p - 2. Let z be k(5). Let j(y) = 4 + z*y - 4*y - y - 2. Let o be j(0). Solve -4*q + 2*q + 5*x = 18, 0 = 5*q - o*x + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -40*q**2 + 3714*q - 12. Give o(92).\nAnswer: 3116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -1\/6, 1.35 in descending order.\nAnswer: 1.35, 0, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 169, 670, 1507, 2686, 4213, 6094, 8335, 10942?\n\"Answer: o**3 + 162*o**2 + 8*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5903520 + 4369776 = -3*y. Let u = y - -4894432. Round u to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15847, 15802, 15757, 15712, 15667?\n\"Answer: -45*u + 15892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*q - 24*q + 5*q)*(26*q + 5 - 6 + 23*q) to the form a + k*q**2 + s*q and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 11816.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 - 3608*r - 3610 = 0?\nAnswer: -1, 1805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.8. Let a = 0.4 - f. Sort -4, -0.5, a in descending order.\nAnswer: a, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21550*t = 21551*t + 11. Let n(i) = 26*i - 5. Let w(z) = -5*z + 1. Determine t*w(l) - 2*n(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874908 divided by 66?\nAnswer: 645818\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 1\/2 (b) -3 (c) -0.9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14623*s - 11*s**3 + 14623*s.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74305348*i**2 - 139114274.\nAnswer: -148610696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251 + 251.137. What is z rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 18 = -4*v, 4*r - 5 = v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (10 + 66 + -77)\/(0 + 0 - 1) and -9*((-14)\/6 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 8 - 21 = 2*z, 1498 = 3*i + 5*z + 1476 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869358?\nAnswer: 2, 3, 7, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/3)\/((-286)\/(-260)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 2*r - 7*r**2 - r**2 in the form v + g*r**2 + j*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.58 - 0.48. Which is smaller: s or 0.25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17\/3050, 1\/3, 2\/3, -2\/9, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 289949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -61*v + 2279. What is t(42)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c - 2. Suppose -t - c*r = r - 30, 2*t - 12 = 4*r. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-98)*(-1)\/((-4)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44985, 89967, 134949, 179931, 224913, 269895?\nAnswer: 314877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*x**3 + 18240*x**2 - 1767528*x + 18670176.\nAnswer: -2*(x - 12)*(5*x - 882)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b5dc8 + 55?\nAnswer: -4b5d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -27965*x**2 - 536*x - 36. Let n(u) = -7990*u**2 - 153*u - 10. Let t(d) = -5*f(d) + 18*n(d). Find the second derivative of t(i) wrt i.\nAnswer: -7990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8498 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 2*p. Let l(m) = 0 - m - 1 + 1. Determine -c(w) + 2*l(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/5 - 15411*q**4\/5 + 52328*q**3 + 892812*q**2\/5 + 123152*q = 0 for q.\nAnswer: -2, -1, 0, 20, 15394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 3) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82425)\/17584)\/((-4)\/(96\/10))?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.172 + -0.328. Which is the closest to 0.1? (a) -1 (b) 0.036 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201360 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: b\"What is the mth term of -2273156, -2273165, -2273170, -2273171, -2273168, -2273161?\n\"Answer: 2*m**2 - 15*m - 2273143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25203 divided by -3?\nAnswer: -8401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, n: 1, q: 1, w: 2, p: 1}. What is prob of sequence wwc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {g: 4, v: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 + 7*o**5\/60 - o**4\/12 - 4*o**3\/3 + 3*o**2. Let t be r(-7). Suppose -40 = -t*p + 2*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -30*m - 522. Let p be g(-17). Put -19, -4\/9, p in decreasing order.\nAnswer: -4\/9, p, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-10) + 6\/15. Does 14 divide 27*5 + (i - -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*d + 2, -t = 5*d - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -732160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/12 - 1\/3. Suppose -w = -p + 5. Does 3 divide 15\/p*(0 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**4 + o**3 + 3*o**2\/2 - 2*o + 85. Let h be z(2). Calculate the greatest common factor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-15)*-1*(-12)\/18. What is the third smallest value in -3\/7, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 380*f**2 - 14 + 0 to x*f**2 + q*f + t and give x.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 9. Let z be p\/4 + 3\/6. Find the third derivative of f**3 - f**2 + 2*f**3 - 6*f**z wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 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: Let b(p) = -7*p**3 + 11*p**2 - 17*p + 11. Let o(a) = -2*a**3 + 4*a**2 - 6*a + 4. What is -4*b(r) + 11*o(r)?\nAnswer: 6*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 10*a - 6. Let j(v) = v**2 + v - 1. What is 6*j(c) - r(c)?\nAnswer: c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.2067797 and -5.\nAnswer: -6.2067797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1472.9 - -1624. What is w rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 - 6*a + 3. Let p = -8 + 5. Let l be 3\/(p + 6) + 1. Let u(h) = h**2. Let x be u(l). Give d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 51*q - 645. Determine w(9).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w + 20*w - 8*w + 3 + 0*w to the form c*w + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102, 31, -94, -279, -530, -853?\n\"Answer: -h**3 - 21*h**2 - h + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 18*a**2 + 154*a - 113. Let p be n(-4). What is the highest common factor of 14 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 1130222*m**2 - 1130222*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 - 154.755429?\nAnswer: -154.797429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 4\/13, -2\/13, 4, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(-1 + 1 - d**2) + 608 + 39*d**2 - 608 + 0*d**2 + 0*d**2 + d**2 to l*d + p + k*d**2 and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1768092336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.7 or -1\/146?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 5.\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 1\/5, -3, 1, -2.661, -0.5, 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let i(h) = 331*h. Determine r(i(n)).\nAnswer: -331*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 203 = -0*d. Suppose -32 = -n - 35, 1131 = -4*x + 3*n. Let h = d - x. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47120 and 37696?\nAnswer: 188480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.03, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010101110000001100 - -101?\nAnswer: 11010101110000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8686 = 461*v + 194*v + 21*v - 28494 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11704 divided by 28?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73587601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 31*a + 261. Let k be i(-8). Let j be (-2)\/4*(-12)\/3. Solve n + k = -3*q, -4*n + 5 = -j*q + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63123.\nAnswer: 3, 53, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3384 and 1974?\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(150) - sqrt(14))\/(6*sqrt(7)*-2) + 3.\nAnswer: sqrt(2)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Factor 4*q**2 - 2*q**3 + 0*q**n + 0*q**3 - 3*q + q.\nAnswer: -2*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (86 - 63 - (8 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.3. Let m = 0.0504 - -0.2886. Let j = 0.239 - m. Which is the second smallest value? (a) o (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/180384 and 103\/811728.\nAnswer: 1623456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*a = -5*a - 10, 25 = 4*i + a. Calculate the remainder when 37 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**3 - 79*d**2 - 11*d - 7. Let g(b) = 2*b**3 - 26*b**2 - 4*b - 2. Let h(f) = 8*g(f) - 3*y(f). Find the second derivative of h(c) wrt c.\nAnswer: -12*c + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/12351 and -29\/506.\nAnswer: 271722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*r**2*s**3*u + r**2*s**2*u - 4*r**2*s**2 + 13*r**2 + 2*r*s**3*u wrt s.\nAnswer: 918*r**2*u + 12*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:11 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d + 100. Let i be j(10). Let h = 183 - i. Suppose -6\/13*w**h + 0*w**2 + 2\/13*w**4 + 0*w + 0 = 0. What is w?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -73. Let b(r) = r + 2. Let o be b(-2). Suppose o = n - 3 - 4. What is the remainder when n is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.088 and -2.727.\nAnswer: 0.239976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73292687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3701107.9 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658, 2555, 5690, 10063?\nAnswer: 15674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times 9387750?\nAnswer: 20653050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 11*w + 22. Let k be l(9). Let c(d) = 3*d + 55. Let j be c(-16). Determine x, given that 0*x**2 + 13*x - j*x + k*x**2 + 8 + 6*x = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:08 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(((-40)\/(-12))\/(-5))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 7.5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 20. Let w be 0 + (1 + 1)\/(-2). Which is the closest to -2\/3? (a) w (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**3 + 9697*u + 0 - 9695*u - 3 - 63*u**4 + 1 to the form l*u**4 + x + o*u + n*u**3 + y*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**26*r*r)))\/r)\/r**(-6\/23) assuming r is positive.\nAnswer: r**(673\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose -o = 4*y - 2*y - 130, -3*o + 325 = i*y. What is the highest common divisor of 26 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-1071) - 4\/(-34)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5)*-2) + 2 - (1 + sqrt(176) + (sqrt(176) - (3 + sqrt(176)) - sqrt(176))))**2.\nAnswer: -4*sqrt(11) + 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h + h**2 + 9*h - 16 + 15*h + 12*h - 9*h. Suppose -4*k + 3*k + 6 = 0. What are the prime factors of x(k)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.34 + 0.06. Let t = 76567\/3 - 25524. What is the second smallest value in t, k, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309314197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -2002301200?\nAnswer: 2002301212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*b - 14 = -634*b. Put 7, -5, -6, -1, b in descending order.\nAnswer: 7, -1, b, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*p + 161*p + 18508 = 1091 - 10312 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103.6 - 10.6. Let u = 1954304.37 + -1954211.370249. Let j = u - f. What is j rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -2*sqrt(88))*2)\/(-2*sqrt(968)) + 0 + (4*sqrt(11))**2 + -3 + sqrt(44).\nAnswer: 19*sqrt(11)\/11 + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 30, -17, 6 in increasing order.\nAnswer: -50, -17, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/4 - b**2 - 8*b - 7. Let l be h(-4). Let f = l - 12. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19978?\nAnswer: 2, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -22 - (76 + (-42 - 39))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c - 8?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 2. Let k(r) = 11*r - 3. Let u(s) = -7*s + 2. Let y(c) = 5*k(c) + 8*u(c). Let a(l) = -m(l) + 2*y(l). Let d(p) = -3*p**2. What is d(a(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63694 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 3*j)*(j**2 - j**2 + 2*j**2) + (260*j - 228*j - 1 - 142*j)*(0*j**2 - 5*j**2 + 3*j**2).\nAnswer: 216*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48195120 and 2208.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -29\/3. Let t = 4021\/4 + -1006. What is the closest to -1 in t, 1\/7, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 at least as big as -0.011174036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r + 83. Let i be o(-20). Solve 11*u - 10*u - i = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 537*t**2 + 544*t**2 - 1081*t**2 - 11.\nAnswer: -5*t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*a**2 - 8*a**3 + 414*a**2 - 134*a**2 - 135*a**2.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17252 and 106236.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 2*n + 56 = 0, 0 = 5*c + 3*n - 116. Let o = 239 - 169. Let m = 83 - o. Calculate the remainder when c is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14114\/15 + -2818\/3. What is the common denominator of -52\/47 and b?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q = -25. Suppose 0 = 3*z - 4*o - 53, 0 = 2*z + o - 24 - 4. Suppose f - s - 4 = 17, -q*s = -z. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -835, -2281, -4683, -8047, -12379?\n\"Answer: -g**3 - 472*g**2 - 23*g - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -56099901.46\nAnswer: 56099908.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 759*x**3 + 2*x + 362 wrt x?\nAnswer: 4554*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 233?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, -25, 1, 11 in ascending order.\nAnswer: -25, -4, 1, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 19. Suppose -w + 16 = 4*z, 4*z - 2 = -3*w + x. Suppose -k - 16 = -t, -3*t + z*t + k - 47 = 0. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -63. List the prime factors of 4\/v + 42199\/171.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssds when four letters picked without replacement from {g: 11, d: 1, s: 8}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let v(r) = -4*r + 1. Let c = 8 - 13. What is c*o(g) - v(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*y - 5132 + 1617 = 3414 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:18 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197208 less than -0.4?\nAnswer: -197208.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 <= -753\/1543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405) + (sqrt(180) + 2 - sqrt(5)))**2.\nAnswer: 112*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 5, -3, 11 in descending order.\nAnswer: 11, 5, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-114))\/(2\/16). Let x = 14\/171 - j. Which is the nearest to 0? (a) 2\/11 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228309.\nAnswer: 3, 76103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - 5*o)*(0*o + 3*o - 4*o)*(9 - 11 + 8)*(0*o + 0*o - o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 17*r**2 - 17*r + 55. What is the remainder when 211 is divided by s(-16)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*m - 14, 18*m - 14*m + 23 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -11*y**5\/60 + 43*y**4\/8 + 53*y**3\/3 + 109. Let c(t) be the third derivative of r(t). What is the derivative of c(n) wrt n?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5627 + 5627.0036972. What is l rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4652*o + 2322*o - 195 = 9*p - 2327*o, -2*p = 3*o + 167 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2485899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/5*k**3 - 54*k**2 + 267\/5*k = 0.\nAnswer: 0, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7753 - -0.2247. Let o be 46\/14 - 2\/1. Let g = o - 11\/14. What is the closest to f in g, 4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17659 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 5*q**2)*(-342 - 275 + 9*q + 757).\nAnswer: -18*q**3 - 280*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5927.184 nanograms?\nAnswer: 0.000000005927184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -4*g, 2*g + 3*n = -0*g + 25. What is the greatest common factor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 14. Let p(k) = 6*k + 19. Let m(r) = -13*j(r) + 6*p(r). Give m(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-6 - 2) + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, -7 in decreasing order.\nAnswer: 4, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - x - 128088, 4*j - 9*x + 11*x = 512310. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37604\/(-17)*77\/2156.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5058*x*z**2 - 6653*x with respect to z.\nAnswer: 10116*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(-448)\/35. Let w = 34 - d. Suppose -c = w*c. Solve c = -6*g + g - r - 4, 4*g + 5*r = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, r: 2, e: 6}. What is prob of picking 3 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3*-3)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - k = -55, 0 = -3*k + 2*k - 1. Suppose 6*l - t = 4*l. Let j = 113 + -113. Sort 4, 5, l, j in descending order.\nAnswer: l, 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let r(m) = 1282*m**2 + 5. Calculate p(r(o)).\nAnswer: 2564*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-1 - 1 + 0)*(-647 - 91 - 434)*(-5*u - 6*u + 2*u).\nAnswer: 42192*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 9*z**2 - 2*z + 22. Let o be q(9). Solve -12 + 16 = -o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 6407*a**2 + 38415*a + 57609.\nAnswer: (a + 3)**2*(a + 6401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.08907 * 0.1\nAnswer: -0.008907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2432 + 2432 + 58*v + (2 - 4 + 1)*(-3*v + 2 - 2) to the form o*v + k and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3310 + 3474. Calculate the greatest common divisor of b and 1312.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 5*w + 15. Calculate the remainder when 77 is divided by d(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 3)*1 + -392. What is the units digit of 3*1*z\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 770584\/225 - 30886\/9. Let h = y + -878\/75. What is the common denominator of 1\/(1 + (-76)\/67) and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 9800*f**3 - 6569508*f**2 + 1338144912*f = 0 for f.\nAnswer: 0, 471, 1508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 + 0.7. Let m = 0.8348 + -1.0348. What is the closest to 0.3 in m, 2, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let n be (s + 3 + 1)*1. Solve -n*i = -3, 0 = -r - i - 4 + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-4 + 1 - -2). Let p be ((-2)\/(-36))\/(i\/16). Which is the biggest value? (a) -0.5 (b) 7 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497885334?\nAnswer: 2, 3, 79, 1050391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 875489847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(7) - (-3 + sqrt(7))) + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*l + 1 = 0, 3*y + 5*l - 17 = -22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 120. Let q = 0.8 - 0.9. Which is the nearest to p? (a) -2\/9 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7100 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77976, 77686, 77204, 76524, 75640, 74546, 73236?\n\"Answer: -p**3 - 90*p**2 - 13*p + 78080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -6, 5, -4 in descending order.\nAnswer: 67, 5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r - 106*r - 120 = 0. What is the remainder when 157 is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 3*z - 1. Suppose 23*d + 72 = 11*d. Let x be o(d). Which is smaller: -18 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and -140333 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -32. Let d = 7 + m. What is the second smallest value in -0.2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**7\/30 - 7*r**4\/24 - 2*r**2 + 3. Let w(d) be the second derivative of g(d). What is the second derivative of w(x) wrt x?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 3)*(4 + 1 + 1)*(n - 5*n + n) as u*n + k and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 36 = 3*q, 5*a + 49 = 4*q. Let g be ((-20)\/30)\/(q\/9)*-1. Sort g, -1\/2, 3\/4, 0 in descending order.\nAnswer: 3\/4, g, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 21 - 19 - b**2.\nAnswer: 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/4 + 263*p**2\/4 - 4290*p - 4356 = 0 for p.\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1624 and 15960.\nAnswer: 462840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114041 - -233?\nAnswer: -1113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*g - 8 = 5*d, 2*d = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + f**2 - 918*f**3 + 1802*f**3 + 3*f**2 + f**2 - 872*f**3.\nAnswer: 12*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -1, 2, -0.9, -0.4, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 + 210*s**3 + 2735*s**2 + 12210*s + 9680 = 0. Calculate s.\nAnswer: -22, -11, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021?\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 - -324. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p - 3*p + 2*p + (6 + 1 - 1)*(p - 5*p + 2*p) + 3 - 3 + p - 2.\nAnswer: -17*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3044243374 + -4?\nAnswer: -3044243378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 44. Suppose c*o + 40 = 65. Solve -g + 3 = -3*s + o, -5 = -3*s - 2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4392205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.481 + -0.461. Which is the second biggest value? (a) 0.2 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 153. Let p = 91 - l. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 16*n**2 - 17*n - 3. Suppose 0 = -13*y - 298 + 77. What is l(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 3*c - 366 = -38*f, -4*f + 1442 = c. Calculate the remainder when f is divided by 105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -131318682.\nAnswer: 13\/131318682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1430 - 1387. Calculate the remainder when o is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1892*m**4 + 29*m + 3*m**3 - 2*m**3 + 1 - 1895*m**4 as j*m**4 + s + i*m + d*m**2 + y*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - (-7)\/(-12). Let r = -65 + 62. Sort 4, p, r in decreasing order.\nAnswer: 4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1250 and 22?\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (400\/(-120))\/(2\/3). Let d(w) = w. Let k be d(-3). Put k, 4, 0.4, v in decreasing order.\nAnswer: 4, 0.4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 4:58 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from {p: 3, f: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 6. Let z = 21 + -14. Let b(q) = 5*q + 5. Give z*b(k) + 6*j(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8110.124 hours to minutes.\nAnswer: 486607.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18*f. Let y(o) = -36*o**2. Let g(m) = 7*m**2. Let w(p) = -21*g(p) - 4*y(p). Determine w(j(v)).\nAnswer: -972*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -40*o**2 + 34*o**2 + 5 - 2*o**3 + o**3. What is the remainder when 26 is divided by w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27389602?\nAnswer: 2, 19, 720779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(1584) + -3 + 4 + (1*sqrt(1584) - sqrt(1584) - sqrt(1584)) + 4 + 4)**2.\nAnswer: -432*sqrt(11) + 14292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1136 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*((o**1*o)\/o)\/o*o)*o)\/o)**(1\/9))**38 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11346 + -21583631.\nAnswer: -21594977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 76947840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 163*k**4\/4 - 8*k**3\/3 + 12*k - 31. What is the third derivative of u(c) wrt c?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26297798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:01 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000010 - -1001101110101010?\nAnswer: 1010010001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213682, 213662, 213628, 213580, 213518, 213442?\n\"Answer: -7*i**2 + i + 213688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.86077kg?\nAnswer: 9860770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 3*t**2 - 4*t**2)*(-4*t + 4*t + t + (-1 - 1 + 26)*(-2*t + 12*t + 2*t) - t + 0*t + 4*t).\nAnswer: 584*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 16. Suppose 0 = 3*w - w + 20. Let v be s(w). Is v\/16 + 7711\/88 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -314 (c) 796 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 206340?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*w - 2*w**3 + 67*w + 59*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19186322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -136. What is the remainder when n is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 47\/4 in descending order.\nAnswer: 47\/4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*21\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4\/3*b - 2\/9*b**3 - 1\/3*b**2 + 5. Factor p(v).\nAnswer: -2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, 1 b, and 1 g when four letters picked without replacement from {b: 2, p: 7, g: 1, r: 2, w: 1, x: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + z**4 - 3*z**4)*(0*z + 0*z + 2*z) - z**5 - z**4 + z**4 - 14*z**4 + 14*z**4 + 481*z**5.\nAnswer: 476*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.29, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.112 millilitres in litres?\nAnswer: 0.205112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11533, -22961, -34389, -45817, -57245, -68673?\nAnswer: -80101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 0*b + 736*r - 52 = 732*r, -2*b = -19*r + 247 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/((g**(-1\/2)\/g)\/g))\/g*g)\/g)**(-3\/11)*g\/(g**(-3)*g)*(g\/((g*g*g\/((g*g**(-1\/3)*g*g)\/g*g)*g)\/g)*g)\/g assuming g is positive.\nAnswer: g**(161\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 + -53. Suppose -i + u = 0, 3*u - u = i + 4. Suppose -31 + 175 = i*q. What is the greatest common divisor of q and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r - 42 = -60*r. What is the remainder when r is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 - -38.4. Let x = 35.00185 - f. Round x to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 48\/(-18). Let a(w) = 8*w + 2*w - q*w + 2*w**2 + 5. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.293896 rounded to two dps?\nAnswer: 6.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25419?\nAnswer: 3, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 0)**2 + -3 + sqrt(180) + 5.\nAnswer: 6*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.231, -4, -2, 0.4, 0.3, -103?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 12*c - 13. Let y be p(-7). What are the prime factors of 1\/y*7 - -77?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-30) + (-648)\/(-10). Suppose 3*r = t + 248, -3*t - f = -r + 2*t. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043171569 to 6 decimal places.\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5350 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1 + 16*n - 11*n - 3*n**2 + 15*n**2. Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*2\/(-8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/84 - (-3 - 44\/(-12)). Let y(g) = g**2 - g - 1. Let z(p) = p - 2. Let b be z(2). Let j be y(b). Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -126 - -222a29?\nAnswer: 222903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:38 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/137 - -1709\/1781. Find the common denominator of 49\/4 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*a + 21, -2*o + 3 = -3*o - 2*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 3*f + 580. Let q(b) = -b**2 - 57*b + 335. Let m be q(-64). Is m < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**3 + 292*x**3 + 100*x**3 - 348*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(-5 - -3). Suppose 2*l = 2*q + 4, -10 = -r*l - l + 3*q. What is the common denominator of 71\/10 and l + 5 + 201\/(-33)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -7. Let q be (2 - 0\/g) + 12. Calculate the common denominator of 1\/6 and q\/(-12)*(-415)\/35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 22372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28852, -28854, -28864, -28888, -28932, -29002, -29104, -29244?\n\"Answer: -o**3 + 2*o**2 - o - 28852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 33.8 (b) 38 (c) 785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 8*f**2 + 3*f**3 + f**3 + 11*f - 3*f - 8 - 3*f**3. Let j(q) = 3*q**2 + 4*q - 3. Calculate -8*j(s) + 3*z(s).\nAnswer: 3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = t + 70. Which is smaller: -0.02 or t?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(19\/3)*p**(-2\/21)\/p assuming p is positive.\nAnswer: p**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - x = -0*x - 8, 2*b + 4*x = -8. Let j(y) = -y**3 + 29*y**2 + 34*y - 59. Let q be j(30). Suppose -q = b*z - 197. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 9*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 - 6 - (41 - 15 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*s**2 + 13608544*d**2 - 605*d*s - 11*s**2 - 5*s wrt s?\nAnswer: -2*d**2*s - 605*d - 22*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + u - 4*u + 55 = u - 7, 0 = -3*d + 22*u + 17 + 76 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63226.\nAnswer: 2, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4752*g**2 - 1583*g**2 - 1578*g**2 - 1585*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -1\/3*j**2 + 2\/9*j + 2\/9*j**3 - 1\/18*j**4 - 10. Factor k(o).\nAnswer: -2*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h**3\/11 + 15760*h**2\/11 - 12632*h\/11 + 2528\/11 = 0. Calculate h.\nAnswer: -316, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68778751 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*z - 1235, -41*x + 286 = -40*x - 4*z. Calculate the remainder when 389 is divided by x.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6c4?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d68a - 26b?\nAnswer: 3d41d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/3 + 0 - 18. Suppose 4*d = 5*o + 16, -5*d - 3*o = -2*o - 20. What are the prime factors of 29 - d*(-4)\/v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69942 (base 13) in base 3?\nAnswer: 100210100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -480075 (base 10) to base 15\nAnswer: -973a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8344*z = 2*l - 8343*z - 22, -5*z + 135 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 1, l: 1, m: 4}. Give prob of sequence lmtm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 276858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9724525.\nAnswer: 5, 37, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.76 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -198*p**2 + 193*p + 192. Give q(-1).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1212 + -68.0288. Let h = u + 68. Which is the smallest value? (a) h (b) 0.3 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690967 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 - p - 10. What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 268b855d - 0?\nAnswer: 268b855d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q + 6*q**2 - 4*q**2 + 3*q**3 - q**2. Let u(y) = 3*y**3 + y**2 + 6*y. Let r = 227632 - 227637. Give r*u(f) + 4*x(f).\nAnswer: -3*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2\/7 - 4*x\/7 + 32 = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5710135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 16*l + 1173. Determine f(-74).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160360 = -3*g - 5*b - 160396, 3*b = -5*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:51 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24420669, -48841342, -73262015, -97682688, -122103361?\n\"Answer: -24420673*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -119 - 239597\nAnswer: -239716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11117.\nAnswer: 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29\/164 + -811\/1804. Which is the fifth smallest value? (a) 1 (b) 0 (c) -0.4 (d) y (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 195?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0 + 3)**2 - sqrt(121)\/(sqrt(11)*2)) + (sqrt(1100) - ((sqrt(1100) - -2*sqrt(1100)) + 1)**2)*-6.\nAnswer: 611*sqrt(11)\/2 + 59426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -90. Suppose -3*f = -b*f - 25. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 100. What is the remainder when s is divided by -3 + (48\/3)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 4:57 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101122 (base 4) in base 13?\nAnswer: 430b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {n: 3, v: 5, u: 3, y: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t - 803. Let z be p(-50). Sort 180, -5, 3, z.\nAnswer: -5, z, 3, 180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479 + -474. Let z = 0.19 + 0.01. What is the fourth biggest value in -8, z, t, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13*4\/1 - (-6)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-175)*-10 + 12108\/(-10). Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15840 + 2?\nAnswer: 15842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2\/3 - (-10)\/(-6)). Let c be s - (3 + 3)*(3 - 4). Let j(m) = -3*m + 6. What is j(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 0*u + 22*u = 562, -27*v + 27*v - u = -3*u + 10 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in minutes?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(36) - sqrt(1296))\/sqrt(2) + 0))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 54 = 5*d. What is the remainder when 40 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y + 4*y + 4000 - 3829 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/7)*(z\/(z\/(z*z**0\/z*z)))\/z*z**(-2\/3)*z*z*z\/((z**(3\/5)\/z)\/z*z) assuming z is positive.\nAnswer: z**(302\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -489028 or -489029?\nAnswer: -489028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3*p + 5. Let j be c(4). Suppose -s + 90 = s. Calculate the highest common factor of j and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679436, 679434, 679432?\nAnswer: 679430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 513878045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 15) in base 13?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/3)\/((-2)\/12). Suppose 0 = -2*p - 3 - 1. Let i be (p - 1\/(-2))*-26. What is the greatest common factor of f and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, -195 in ascending order.\nAnswer: -195, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.023 or -10095?\nAnswer: -10095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbiiiff. Give prob of sequence fbif.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/8)\/(3\/(-8)). Suppose 0 = -0*m + 5*m - 3*j + 211, 161 = -l*m + 5*j. Let r = m - -62. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjg when four letters picked without replacement from {j: 13, g: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u - 3. Let y(k) = -1 - 2 + 5*k + 0. List the prime factors of y(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468064, 936123, 1404182, 1872241, 2340300?\nAnswer: 2808359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 80. Let p(j) be the second derivative of j**5\/20 + j**4\/2 - 3*j**2\/2 - 2*j. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:34 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190982 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**9\/60480 + g**8\/5040 + g**7\/2520 + g**6\/720 - 3*g**5\/4 + 14*g**2. Let c(u) be the third derivative of d(u). Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 2, u: 4, r: 2, v: 7}. What is prob of picking 1 z, 1 u, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40375439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) 98 (c) 0.3 (d) 0.2 (e) -24573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 7*o - o)*(-1 + 0 + 2)*((-4 + 2 + 9)*(0 + o + 0) - 8*o - 281 + 281)*(o + 0 - 2 - 3*o) to the form h*o**2 + u*o + v*o**3 + i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 + x**5\/5 + 17*x**4\/24 + 7*x**3\/3 - 11*x**2. What is the units digit of j(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h**5\/7 - 4148*h**4\/7 - 248026*h**3\/7 - 1045056*h**2\/7 - 190744*h - 408608\/7 = 0.\nAnswer: -113, -2, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-2))\/(0 - -1). Suppose 3*r + 1 + 5 = 2*q, 0 = -5*r + p*q - 11. Let f = 131 - 267\/2. Is r greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5438\/3 - 1794. Let f = -32 - -18. What is the common denominator of l and f\/(-5) + 0\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 - 190. What are the prime factors of m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*b + 16, -201*b + 199*b - 2 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 + 204\/5*t - 2*t**2.\nAnswer: -2*(t - 20)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8308 - 8307.99999296. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 18)*2*-1. What is the greatest common divisor of o and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37357477273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b*d**4 + 3*b*d**3 + b*d**2 - 76*b*d + 4*b - 43*d**4 - 8*d**2 wrt d?\nAnswer: -240*b*d + 18*b - 1032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 2*r**3 - 3*r + 53 - 67 + r**4 - 6*r**3 - r to a*r**2 + f*r**3 + z + w*r**4 + y*r and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 175166949.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*s - s**3 + 45*s - s**3)*(5 - 62 - 6).\nAnswer: 126*s**3 + 567*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Suppose 3*d = -3*l + 26 + 34, -4*l + g*d = -104. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 26, 12, -3, 4, -10, 2 in increasing order.\nAnswer: -95, -10, -3, 2, 4, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3108 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170641275 and 24377325.\nAnswer: 170641275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -57. Suppose -u*r + 155 = r. Calculate the remainder when r is divided by (3 + -1)\/((-4)\/(-34)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**4 + 3*m + 16*m**4 + 6*m**4 - 5*m - 2*m**3 to d*m**4 + n + r*m**3 + t*m**2 + i*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720) - sqrt(720)) + sqrt(720) + -1 - sqrt(720) - sqrt(720))*2 + -5*((sqrt(20) + 1)**2 - (sqrt(375)\/sqrt(3))**2) + 4.\nAnswer: -44*sqrt(5) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1866838 - 95196142\/51. Let n = v - 247. Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6925338 and 11718?\nAnswer: 6925338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 + 0.05. Let s = 0.593 - -1.407. Let d = -0.05 + -0.05. Which is the smallest value? (a) n (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00512 rounded to 4 decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 2*j + 9*j**2 + 2*j - j**2 - 2. Let t be f(1). Let n be ((-22)\/t*-2)\/((-2)\/10). Is -23 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - f + 1. Let y = 2 - 1. Let o be h(y). Suppose 0 = o*b - 4*m - 1 + 9, -4*b - 4*m = -32. Solve -3 - 12 = b*c + 4*g, 3*c + 15 = -5*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 7. Let c(a) = -7*a + 8. Let s = 78 - 73. Let n(h) = s*c(h) + 6*t(h). Calculate n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:35 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-6\/7)*r))\/r)\/r)\/(r*r**(8\/5)\/r)*(r*r*r**(-4))**(-7) assuming r is positive.\nAnswer: r**(394\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w + 714. Let a(v) = -7*v - 718. Let r(h) = 2*a(h) + 3*z(h). What is the derivative of r(t) wrt t?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.4*-47\nAnswer: 864.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (-18 + 18) - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 7*g + 8. Let w be r(-6). Let y(h) = h - 11. Let b be y(w). Solve -b*i + 6 + 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97936 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.13. Let i = n - 0.09. Let h = 2.06 - i. Which is the second biggest value? (a) -1\/3 (b) 2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 = 22*d - 288 - 131 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -504, -269, 50, 447?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -2*a + a**2 - 5\/6*a**3 + 0. Let c(k) = -24*k + 10. Determine 3*c(x) - 14*r(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126233651.\nAnswer: 53, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/(2\/4). Let g(i) be the second derivative of 1\/54*i**4 + 0*i**2 + 0 + 1\/27*i**k - i. Find r such that g(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013172388 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -12*t + 4354. Suppose -3*k + 226 = -t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5652*u - 17790?\nAnswer: -5652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 30.4. Let b = -1.6722 + c. Let o = b - -0.084. What is o rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02167511511 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69062 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -121, 75 in descending order.\nAnswer: 75, 2, -8, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*b - 26 = 2242*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6. Let n be p(-3). Let t be (-3)\/(27\/30) - 6\/9. Which is the nearest to -0.1? (a) n (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o. Let j be l(-3). Let f = 7 + -5. Suppose -1 = -f*m + 9. Solve -m*k = -3*b - 2*k - j, 4*k = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189406 - 112696534\/595. Calculate the common denominator of -87\/238 and f.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 660.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/12 - 2*q**3\/3 - 3*q**2 + 2*q. Let l(h) = h - 4. Let d(c) = 3*l(c) - 2*w(c). What is d(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 + 7*k + 38. What is x(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 + 10*v + 10. What is d(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(16)\/sqrt(392) + -1*(sqrt(2) + 0))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84894697?\nAnswer: 89, 953873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -2)\/((-4)\/46). Let f(x) = -5*x. Let j be f(-1). Let k(d) = d**3 - 4*d**2 - 4*d - 1. Let h be k(j). Solve 7 = h*w + b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = 4*y - 2700. Calculate the greatest common factor of 216 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 554*k - 42065. Give p(76).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from hhhhiiilhghziig?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1701 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/8 - 10317*n**3\/4 - 1162497*n**2\/8 - 2092920*n - 3900375\/2 = 0 for n.\nAnswer: -30, -25, -1, 6934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8262 or 8264?\nAnswer: 8264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6269 + -6268.99. What is the nearest to 2 in 6, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1274, 1293, 1306, 1313, 1314, 1309, 1298?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 + w - 33. Suppose -361*u + 370*u = 0. What is k(u)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 4*j**3 + j**3 + j**3 + 4*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 52*g**2 + 5. Give v(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5, -2*j - 2*l = -4*j + 82. Let z = -9 - -16. Suppose -z*u + j = -2*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 + 7140*l**4 - 42871*l**3 + 35730*l**2 = 0.\nAnswer: -7146, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 553 = -733. Let y be 1*(-2 + 1 + -2). Let k be (-1)\/(y\/(g\/(-2))). Which is the second biggest value? (a) -1 (b) 3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/726 and -56\/93.\nAnswer: 22506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.00000072 + -118. Round h to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 6*c + 2. Let t be r(-6). Let d be (-1 + t - -1) + 2. Solve d*h = 4*j + 20, -2*j = h - 3 + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-2 + (-16)\/(-6)). Let g be -2 + 1*1*-1. Does 3 divide g\/(l - 3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**3*w**3 + 329*s**3*w**2 - s**3 - 440*w**3 wrt w?\nAnswer: 18*s**3 - 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1236 divided by -4\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Put 1, -4, p in decreasing order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098909 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 z when three letters picked without replacement from {z: 4, y: 1, v: 2, q: 2, g: 1, l: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 9755?\nAnswer: -9755.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*i*t - h*s*t**2 - h*s + 44*h*t**2 - 715*h*t + 280*i*s*t**2 - 3*i*t + 2*i - 17*s*t wrt t?\nAnswer: -2*h*s + 88*h + 560*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**4 - 75*l**3 - 135*l**2 - 65*l = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by -31.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + g**3 - g**3)*(-g**2 - 3 + 3) - 12*g**5 + 17*g**5 + 17*g**5 - 2 + 2 - 2*g**5 - g**5 - 7*g**5 + 3*g**5.\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (169\/3042)\/((-15)\/36)*-285\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**2 - 3*g - 3. Let j(t) = t**2 - t - 1. Let y(q) = -2*j(q) + o(q). Let f(m) = -m + 2. Let z = 0 - -3. Let p be f(z). Give y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0608*-39\nAnswer: -2.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -254*a**2 - 856*a - 710. Calculate m(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {n: 2, r: 4, f: 1, e: 3, m: 1, z: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665011728 to the power of 1\/3, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5601\/1232 + -5\/308. Calculate the common denominator of y and -93\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/(12\/40)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -w, -8*w + 3*w + 5*o = -30. Let i(j) = w*j - 10*j + 17 + 4*j. Give i(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-280)\/(-24) - 1\/(-3))*1. Calculate the highest common divisor of f and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 + 32*c**3 - 124*c**2 + 88*c = 0.\nAnswer: -11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + p**3 + 0*p**3)*(1 - 1 + 2)*(-6*p + 6*p - p).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2 and 5\/942.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**4 + 5*l**4 - 12*l**4)*(-4 + 0 + 2) + 3*l**4 + 4 - 4 + 0*l**4 + 3*l**4 - 4*l**4 + l**3.\nAnswer: -2*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -1\/4 (c) 0.1 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 - 5. Let c(n) = n**3 + 5*n**2 + 6. Let q = -143 - -163. Suppose q*l - 5 - 55 = 0. Calculate l*c(t) + 4*k(t).\nAnswer: 3*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = 4*y, 0*y + 5*w - 13 = -2*y. List the prime factors of (-2 - y) + (-75)\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 452*l - 152*l + 40*l**2 - 152*l - 152*l. Let r(y) = 40*y**2 - 5*y. Calculate 5*g(a) - 4*r(a).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -3*s**5\/5 + 1197*s**4\/4 + 657*s**3 + 1634. Find the third derivative of z(t) wrt t.\nAnswer: -72*t + 7182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -67. Is 3*(34264\/q - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -2 - ((-23 - -11) + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 788 or 2368\/3?\nAnswer: 2368\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(16\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -3 (b) -5 (c) 5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 85*g - 95*g - 180*g**2 + 255*g. Let u(v) = 89*v**2 - 123*v. Let c(o) = 9*u(o) + 4*w(o). Find the second derivative of c(d) wrt d.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372448 plus -475133?\nAnswer: -102685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48886 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3300 - 3040 + 12*j**2 - 9*j**2.\nAnswer: 3*j**2 - 6340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/24 + z**3 - 71*z**2. Let t = 10 + -19. Is n(t) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 142*k - 831. Give g(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**3 + 3*z**3 + 10 - 27*z**3 - 10.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 0*q**4 + 0*q**4)*(79*q + 176*q - 105*q).\nAnswer: 150*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61794, -61794, -61796, -61800, -61806, -61814, -61824?\nAnswer: -61836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 14. Let c(n) = -10*n - 74. Calculate the remainder when c(-10) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 8*k - 12. Let h(o) = -9*o - 2. What is the lowest common multiple of h(-4) and l(-10)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {z: 2, a: 1, l: 1, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 323, 442, 533, 596, 631, 638?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - (-34)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-304)*(-12)\/42*56\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*u - 4*g*y**3 - 9*u*y**5 - 6*u*y**4 + 25*u*y**2 + u*y wrt y.\nAnswer: -24*g - 540*u*y**2 - 144*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:11 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 14. Suppose 44 + l = -4*b. Let q = 23 + b. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - b + 5*b = -23, -4*u = 4*b + 16. Let i(p) = -7*p + p + 5*p + 1 - 7*p**3 + p**2. Let f be i(u). Which is bigger: -7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226319*a**2*d*j - 2*a*d - a - d*j + 69591 wrt a.\nAnswer: 452638*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p + 12 = 40*p. Solve -p*r - s + 24 = -5*s, 4*s + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/42 and 34\/1267.\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1179*k**2 - 17*k - 6136 with respect to k.\nAnswer: 2358*k - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -509, -747, -981, -1211?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let d be i(6). Let c be (d - 2)*-1 - -3. Suppose -2*a = 3*a - 5. Is c smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299*d**4 - 4678*d**4 + 18911 - 7367 - 7682 with respect to d.\nAnswer: -19908*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 184413 = 497468. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -11. Let p = 15 + d. Solve -4*q - p*t + 20 = 0, -q + 5 = -0*t - 2*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/24 - x**3 - x**2. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 5800 = -15410. Let u = -232 - r. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116.8 * -19615.\nAnswer: -2291032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -32*(-1 - (2 - 2)). Suppose 4*c - 1 = 27. Suppose -11*g + c*g = -16. Calculate the greatest common divisor of f and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3\/3 - 4*i - 2. Suppose 5*q - 20 + 8 = -3*d, q + 12 = 3*d. Let t(h) = h + 3. Let g be t(q). Give z(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*c, -232*n - 14 = -233*n + 3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -79. Is 10677*x*(-4)\/60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-4) + 4)*3\/(-5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 5*v**4\/3 + 3*v**2. Let g(y) = -6*y - 3*y - 21*y + 31*y. Give u(g(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -801968 * -0.5.\nAnswer: 400984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 66948 from -0.121.\nAnswer: -66948.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + h + 11 = 2, 4*n + 3*h = -23. Let u(v) = 3*v**2 - 3 + 0*v**3 + 5 + 3*v + v**3 + 0. Determine u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (15 + (-2 - 2 - (55 + -56)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h)**(-3) assuming h is positive.\nAnswer: h**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 20*x**2\/3 + 44*x\/3 + 4.\nAnswer: -4*(x - 3)*(x + 1)*(3*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*a - 40, a - i + 0 - 1 = 0. Is (-1530)\/(-50) - a\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2. Let z(r) be the first derivative of -r**5\/30 - 4*r**2 + 7. Let s(n) be the second derivative of z(n). Determine y(s(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5907 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 4 (c) -0.6 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14610 in -2.3, -0.3, -9, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 11) in base 4?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 7539?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*3\/(-42) - 258\/(-21). Let z(r) be the first derivative of 0*r**2 - 1\/8*r**4 + 0*r + a - 1\/3*r**3. Find j, given that z(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 14*q - 15. Give b(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3)*1)\/(47*(-90)\/47940)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 134. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 15*v**3 + 16*v**3.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 128856?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = w. Let u be (2*2\/(-3))\/((-4)\/(-6)). Calculate the lowest common multiple of w and (20 - 4)\/4 - u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(2\/1))\/(63\/(-273)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -5, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:58 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112281164?\nAnswer: 2, 2917, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 2120, 4729, 8378, 13061?\nAnswer: 18772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.0318947\nAnswer: 0.004465258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 0*c + 1\/2*c**4 + 1\/20*c**5 + 3\/2*c**3 + 2*c**2. Let s(w) = -w**2 - 4*w - 3. Let p(x) = 6*r(x) + 17*s(x). Solve p(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57471847567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - j = -3*j - 35, -v + 7 = -3*j for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17a5846 (base 11) to base 12\nAnswer: 1032949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (330\/(-12))\/11 + -2 + 5. Which is smaller: g or -25\/2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 20. Let o be 112\/(-4)*n\/(-4). Suppose -o = -5*c + 152. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217656 (base 12) in base 5?\nAnswer: -114001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10439 is divided by 56.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 329*j**2 - 8*j + 16. List the prime factors of a(4).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 42, 3.\nAnswer: -0.4, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 18*a = -1764. Let d be ((-14)\/a)\/(5\/(-30)). Is d bigger than -2\/807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 12*h - 31. Let i be o(3). Let g be (i\/(-3))\/((-170)\/(-15) + -10). Solve d - 6*d = -3*u + 14, u = -4*d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13005 is divided by 4328.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*v**4 - 6580*v**3 + 39125*v**2 - 32030*v - 216 = 0 for v.\nAnswer: -27, -2\/299, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (89 + -39)) + ((-5 - -92) + 1 - -5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 10*u**2 - 3*u - 5. Let o be (-1)\/2 + (-130)\/(-4). Let i = o - 42. Calculate the remainder when 122 is divided by t(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2658605.17 times 0.2\nAnswer: 531721.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(7))*-1*-2.\nAnswer: 4*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 16*x**2 + 71*x + 291. What is s(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -94.5. Let q = 64 + -92. Let z = q + 27.92. What is the third smallest value in u, z, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from diiddvddvadvdvxan.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305223 divided by 2.\nAnswer: 2305223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 3*g**2 - 11*g - 59. What is the tens digit of u(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 635 = -2*i + 2*q, 0 = -2*i - 2*q + 644. Suppose -6*y = -y - i. Round y to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1177042849 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 91*l - 25029. Determine y(275).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 - -3 - 20\/(-4). Let u = 12 - 9. Sort u, 2, p, -1.\nAnswer: p, -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - s - 7 = -3*l, 2*l = -s + 5. Suppose -l = c - 12. Is (-14)\/c*(1 + -5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from hawhwyc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/7 and 19\/463213094?\nAnswer: 3242491658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.7 - -77. What is the biggest value in -0.1, 0, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163004 + -101225528\/621. What is the common denominator of k and 46\/15?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(4290\/88)\/39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -13.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 + 0 = 0, -2*n + 53 = 5*w. What is the remainder when 115 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/12 + 3*c**2. Let l(v) = 47*v + 50. Let f(i) = 2*i + 10. Let q(n) = -5*f(n) + l(n). Calculate q(a(d)).\nAnswer: 74*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*o**3 + 42*o**3 - 89*o**3 + 144*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 107*v**2 - 562*v + 242. What is the tens digit of y(112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19351 <= 19381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 30*x - 1 - 13*x - 32*x - 7*x**3 in the form o + z*x**4 + b*x**2 + h*x**3 + q*x and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/186 and -101\/558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 r, and 1 o when four letters picked without replacement from {o: 6, g: 3, p: 1, r: 7}.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1265158563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33\/(-66)*(10*-5 + 2) is divided by 159\/15 - (-2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 257, -44, -2\/9, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498107787.\nAnswer: 11, 136191617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*u + 116412 = -2808*u - 853 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037853029 rounded to 6 dps?\nAnswer: -0.003785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 7 + 7 + (0*v**2 - 4*v**2 + v**2)*(-5*v - 4 + 3 + 3*v).\nAnswer: 7*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59177, -118360, -177545, -236732, -295921, -355112, -414305?\nAnswer: -473500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*b + 11816, 0 = -v + 9*b - 8*b + 2947. List the prime factors of v.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148 - 7*q + 9*q**2 + 148 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58954 by 7.\nAnswer: -8422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 39. Let m = -1 - j. Let f = m - 17.58. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:16 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/s**9)\/(s**(1\/3))**(-41) assuming s is positive.\nAnswer: s**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*t - 54 = 139*t. Calculate the least common multiple of 39 and t.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 745\/(-10)*(-4)\/1. Suppose 2*d - 2*n - k = -0*d, 4*d + 3*n = 603. What is the greatest common factor of d and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-1\/28)*j**(-6)*j**4 assuming j is positive.\nAnswer: j**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 9*s + 8. Let m be r(-8). Let h = -6 - m. Sort 3, -4, h in ascending order.\nAnswer: h, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 116 = a - 132, -5*x - 2*a - 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 36096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 779*w**2 - 3*w - 2. Let s be v(-1). What is the greatest common divisor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16128 and 15490304.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56 - 17*a**2 - 56 + (0*a + 0*a + a)*(-1 - 2 + 1)*(a - 2 + 2) + (28 - 28 - 10*a)*(4 - 4 - a) + 4*a - 4*a + a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*l - 4*l + 33, 4*l + 2*w = 38. What is the greatest common divisor of l and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4900 - -5570.7. Let v = w - 702. Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -3 + 5 - -9. Let g = -8 + v. Differentiate 3*r - 8 + g + 7 + 2 wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1184 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27188131, -54376249, -81564367, -108752485?\n\"Answer: -27188118*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from vvokaaljo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.1400714 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 1.1. Sort 1, w, 1\/7.\nAnswer: w, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 170*s**2 + 466*s - 17. Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*h - f, -4*h - 3*f - 9 = -h. Let l be (2 + -3 - 0) + h. Let d = 0 - -0.1. Which is the closest to d? (a) l (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 29305*d**2 + 10971805*d - 996314895.\nAnswer: -5*(d - 179)**2*(d + 6219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 49133.\nAnswer: 49130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165193 is divided by 582591?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t - 11*t + 0*t + 27. Let u be d(12). Let f = u - -52. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1030 and 25235?\nAnswer: 50470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-406)\/(-6) + -3)\/(12\/(-90)). Let t = -204 - h. What are the prime factors of t?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-17)\/(((d**(-3\/8)*d)\/d)\/d*d**(-5)) assuming d is positive.\nAnswer: d**(-119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:21 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*p, t + 3*p + 13 = -0*t. Let a be (4\/t)\/((-16)\/392). Let n be 8\/14*a\/(-14). Solve -n*o + 10 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**3 - 39*y**2 - 6*y - 5. Let j(u) = -3*u**3 - 20*u**2 - 3*u - 3. What is 3*i(p) - 5*j(p)?\nAnswer: -3*p**3 - 17*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899 - 25 = -22*o. Differentiate -25 - o + 3*u + 147*u**2 - 3*u wrt u.\nAnswer: 294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2411098643 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.5 (c) -18\/17 (d) 3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17956*r**3 + 36448*r**2 + 1076*r + 8.\nAnswer: 4*(r + 2)*(67*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdfffdfffdfff. What is prob of picking 2 f and 2 d?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/13 - 140*i**2\/13 + 584*i\/13 - 592\/13 = 0.\nAnswer: -74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**19)**(-1\/16)\/((g\/(g**(-1\/10)*g))\/g)**(2\/29))**4 assuming g is positive.\nAnswer: g**(-2611\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -o - 3*o + 84, -2*u = 3*o - 188. What is the tens digit of ((-480)\/u)\/((-2)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 85*x + 415. Let w(m) = -14*m - 2. What is the remainder when d(-38) is divided by w(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*l + 2566 + 2894. Sort -3, -2, 26, l in descending order.\nAnswer: 26, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 19*a - 29. Let t be u(16). Suppose -13*b - 540 = -t*b. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -75*h + 21. Let r be n(3). Let w = r - -212. Let p = 8 + -8. Solve 5*a + w + 12 = p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47814 (base 9) to base 13.\nAnswer: -11752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16110 = 7*i - 2*i. Is i\/(-15) + 5\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1 - sqrt(117))*1 - sqrt(117))\/(-6*2*sqrt(9)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1000)\/(-28) + (-6)\/(-21). Suppose -4*d + 2*d + 12 = 0. Calculate the greatest common divisor of c and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -11. Let s = n + -7. Suppose 0 = -9*f + s*f. Solve f = b - 3*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14626 divided by 4.\nAnswer: 7313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 137. Let t be (-2)\/(6\/121) - 20\/(-60). Which is the nearest to 2? (a) g (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004888100.\nAnswer: 2, 3, 5, 179, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/84 and -68\/147?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95378\/7 smaller than 13624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.197388473 + -162518792.197388473. Let g = k - -162518791.07000107. Let r = g + 0.93. Round r to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-16)*-1)\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62\/247 + 371\/494. Let v(n) be the first derivative of -17 + 1\/2*n**4 + d*n**2 + 0*n**3 - n. Calculate v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 29*n**2 - 9*n + 17. What is the hundreds digit of v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.54514 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1201 - -32422\/27. Suppose -9*p + 12*p - 18 = 0. Find the common denominator of 2 + (-110)\/p + -3 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**3\/6 + x. Let z(l) be the first derivative of -4*l**3\/3 + 20. Give h(z(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93.34369 centuries?\nAnswer: 112012.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825) + (2*sqrt(825) + sqrt(825) - sqrt(825)))*5 - sqrt(825) - sqrt(825) - -6*(sqrt(825)*1 - sqrt(825)))\/(-4*(-2*sqrt(6)*-6)\/sqrt(2)).\nAnswer: -65*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/7 + 4*o**4\/7 - 15*o**3\/7 - 10*o**2\/7 + 44*o\/7 - 24\/7 = 0. Calculate o.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/270*6*1\/44\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (2625\/(-21))\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728311118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 49. Let t be l(-23). Let r be (-7)\/(-2)*(-6)\/t. Solve 0 = 5*j - 3*f + 3 + r, 5*j = -3*f - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 35. Let c be (l - 0)\/30 - (-5)\/(-30). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 52060, -8 in descending order.\nAnswer: 52060, 23, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/18)\/(46 + 16530\/(-360)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f**5 - 12*f**3 + 12*f**3 + (4*f**2 - 2*f**2 + 0*f**2)*(0*f**3 - 3*f**3 - 2*f**3).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 194865.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 - 7296*t**3 - 9831330*t**2 - 3686185464*t - 443661725913 = 0. Calculate t.\nAnswer: -349, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -330*p + 364954 = 364954 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 90*k**2 - 1725*k + 3770.\nAnswer: 5*(k - 29)*(k - 2)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -159*j**2. Let g(c) = 11*c**2 - 507*c - 153*c + 660*c. Give f(g(o)).\nAnswer: -19239*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30999\/20 or -1550?\nAnswer: -1550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k**4 - 4209*k + 2 - 4200*k + k**2 + 8406*k to the form w*k**4 + m*k + q*k**2 + p*k**3 + s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 117 + 47 = -19*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-14) - (-240)\/(-112). Put 0.2, -1, c in descending order.\nAnswer: 0.2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 301*m**3 + 19*m - 108*m**3 - m - 93*m**3 - 90*m**3 + 2*m**2 to the form y + t*m**2 + z*m + s*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1184 = -2*s, -2*s + 3*x + 513 = -659. Let v = -364 + s. Suppose 0*q = -5*q + v. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + s - 3 + 25, -5*c + 19 = -2*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25374, 50750, 76126, 101502, 126878, 152254?\n\"Answer: 25376*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x - 885. Let r be f(56). Solve h - 39*s = -43*s + r, 0 = 2*h - 5*s + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjm when three letters picked without replacement from {m: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(2*m**2 - 2*m + 2*m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 4*p**3 - 24*p**3 + (4*p**2 + 0*p**2 - p**2)*(72 + 34*p - 72) to the form h + a*p**2 + m*p + x*p**3 and give x.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4) + -11 - 1. Which is smaller: -8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -3*b + 2*h - 4, 4 = -h. Suppose -b*i + 6*i = 192. What is the remainder when i is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 923 = 4*m + n, 0 = -4*m + 2*m - 3*n + 459. Suppose -5*p - 76 = -m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.141*811\nAnswer: -114.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2521, 6 in descending order.\nAnswer: 2521, 27, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2093348*p + 224034032.\nAnswer: -4*(p - 523444)*(p + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/45)\/(88\/297*6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1. Let l(x) = 3 - 12*x + 4 + 11*x + 0*x. Let i(z) = -2*l(z) + 14*t(z). Let r(m) = -3*m - 12. What is i(r(b))?\nAnswer: -6*b - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + 25 + -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1839\/1232 - -15\/77. What is the common denominator of g and -75\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5 - 1673*t + 1668*t - 2. Let l(b) = -4*b - 8. Give -7*l(a) + 6*w(a).\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026309815 rounded to six dps?\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5, q: 1, s: 1, l: 7, i: 2, g: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + z + 35, 2*z = a - 35. Let p = a - 21. Is 1270\/p + 6\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -0.1, -17\/16, -1, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, -0.17, -1, -17\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0172 minus 36938984?\nAnswer: -36938984.0172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 504*s**4 + 70*s**2 + 6*s + 2062 wrt s?\nAnswer: 6048*s**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86\/9 + -88\/9. Let r = -0.1 + -0.1. What is the second smallest value in 1, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 140 - 15*l - 16*l**2 - 157 + 35*l + l**3. Let w(g) = g**3 - 16*g**2 + 20*g - 18. Let i(r) = 5*m(r) - 4*w(r). Is i(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 578, -86800 in increasing order.\nAnswer: -86800, 5, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/20 - n**4\/3 + n**3\/3 - n**2\/2 + n. Suppose -13*u - 34*t + 37*t + 82 = 0, 3*u = 5*t + 62. Give h(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4994964 divided by 1248741.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -356\/5 + 71. Let f = 22 - 70\/3. What is the third smallest value in j, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4346727 and 10233069.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*g + 3)*(5*g - 17*g + 13*g - 60 - 2*g**2)*(g**2 + 3*g**2 + g**2) - 4*g**3 + 4*g**3 - 5*g**5.\nAnswer: 15*g**5 - 10*g**4 + 600*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99668434 a multiple of 1741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-234)\/(-6) - 26)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -10*f - 13\/6*f**3 + 0 - 29\/2*f**2. Differentiate b(q) with respect to q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176483 is divided by 108?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799 = -11*y + 1423. Suppose 0 = n - y - 138. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5592, -44729, -150970, -357867, -698972, -1207837, -1918014?\n\"Answer: -5592*i**3 + 7*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-10)\/3. Suppose 3*i = 2*n - 18, 8 = s*n + i - 20. Solve -p + 5 = -b, 3*b - n*b - 5*p = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313509.48 rounded to the nearest ten thousand?\nAnswer: 20310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 4692 = -87*y. Solve -y + 47 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -56 - 14. Let g be (l\/4 - -1)*-2. Let j = 183 - 182. What is the nearest to 1 in g, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - n + 3, -2*n - 2*n - 9 = 4*k - 5*k - 3*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-117)\/(-7)*(-49)\/70 and 67\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 65 - 49 = -3*k, -2*g - 3*k = -102 + 78 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 3*m + 12. Let l be d(-6). Let u = l - 0. What are the prime factors of (-5)\/30 + (-307)\/u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {k: 2, p: 1, c: 4, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-6426)\/7089) + 1\/6 + 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-20)*(-10)\/(-70)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/38112 and -119\/3936.\nAnswer: 1562592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Suppose 0*h = -u*h - 10. Sort 0, h, -3 in descending order.\nAnswer: 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25499476 and 209332.\nAnswer: 3548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5*v*w + 1415*u**4*v + u**3*w + 28*u**2 + 5*u*v*w - 18*u*v - 2*u wrt u?\nAnswer: 60*u**2*v*w + 33960*u*v + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*(-3)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/15)*z)**(-46))**(-25))**(-2\/7) assuming z is positive.\nAnswer: z**(-7820\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 - 284. Suppose -4*n + 2*w + 50 = 0, -c*w + 16 = n + n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203133113 (base 4) to base 12.\nAnswer: -7015b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 3*j**3 + 0*j**3 + (6751 + 10682 + 4886 + 4520)*(-2*j + 2*j + 2*j**3).\nAnswer: 53675*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*(-1 - (-10)\/14 - 74\/(-238))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 461206860.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111590 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zccc when four letters picked without replacement from qmmzccc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-3\/8)*(x**(-2\/11)\/x)\/x*(x**(2\/3))**(-14\/5) assuming x is positive.\nAnswer: x**(-3529\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 353778481*s**2\/6 + 2445170*s + 25350.\nAnswer: (18809*s + 390)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:17 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b + 11*b**2 + b**2 - 9*b - 5*b. What are the prime factors of w(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-44)\/376530*21.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -2033?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -4*f, -5*f + 1 = k - 3*k. Put -4, -2, k in descending order.\nAnswer: -2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -103010344113?\nAnswer: 103010344104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96333774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7073651?\nAnswer: 13, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -140, -135, -126, -113, -96?\n\"Answer: 2*b**2 - b - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h - 8 - 319 - 166 + 5*h - 6*h.\nAnswer: 21*h - 493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(68)))*-5 + (sqrt(204) - ((sqrt(204) - (sqrt(204) + sqrt(204)*-1)) + sqrt(204)))\/sqrt(12).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 16*d**2 - 98*d + 31. What is u(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112b5 - -3?\nAnswer: 112b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 14218*p**3 + p**2 - 3 + 14216*p**3 - 4*p. Let y(c) = -c - 1. Let o be y(1). Calculate h(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 278.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:19 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.4377ug to tonnes.\nAnswer: 0.0000000008004377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (-8 - (6 + 17 - 0)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/(-4)*(-4)\/(-3). Calculate the remainder when 65 is divided by v - 8\/(-12)*-6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -5*y - 3*v - 4, 3*y + 2 = -2*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - (8 + 17 + -58)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r - 1)*(5*r + 1 - 7 + 4).\nAnswer: 5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g - 1. Suppose 2*s - 5*y + 19 = 0, -2*y = -5*s - 1 - 15. Let u be 0*g*(1 + s). Solve c + 2*c - 9 = u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -1.68.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/((-9)\/(-21)). What is the nearest to g in -2\/5, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 2 - 2 + (0*x + 0*x - 2*x)*(-4*x + 5*x + 0*x) + 2*x**2 - 2*x**2 - x**2 - 2*x**2 - x**2 + x**2 - 2*x**2 - x**2 + 2*x - 4*x**2 + 1.\nAnswer: -13*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y + 1. Let f(a) = -a**3 - 3*a**2 + a + 1. Let c be f(-3). What is t(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -4*l**2 - 11\/24*l**4 + 0 + 0*l**3 + 0*l. Let j(s) = 2*s**2. What is y(j(w))?\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624 is divided by 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:31 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12727, 12726, 12725, 12724, 12723, 12722?\nAnswer: 12721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:48 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 3*f**5 - 5*f**4\/3 + 49*f - 2. What is the third derivative of s(y) wrt y?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -485509 (base 10) to base 7.\nAnswer: -4061323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-2)\/6*(-382 - -34).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*10\/4*(-83)\/(620425\/156)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896.847 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.6119 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 8 = -56. Solve -2*y + 6 = -k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163035 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**5 + 195*k**4 + 1165*k**3 + 1405*k**2 - 1170*k - 1600 = 0.\nAnswer: -32, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-10) - (-18)\/15. Suppose -2*l = -5*l - 2*r + 8, -r + p = 0. Suppose l*i + i = -5*t + 155, -3*i + 99 = 3*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243049032 to the nearest integer?\nAnswer: 15590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -34*b - 14. Is t(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16583393604 + -1.0917.\nAnswer: -0.92586606396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 3*w - 1. Let o be l(4). Suppose 0 = -4*r - 5*v + 2*v + 18, 5*r = -2*v + 19. Let s = r + o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392*v**3 - 6*v**2 + 8787*v - 2?\nAnswer: 2352*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 19 + 33. What is the remainder when d is divided by 389 - 387 - (-8 + 0\/3) - (-32 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25476, -26329, -27172, -27999, -28804, -29581, -30324?\nAnswer: -31027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + sqrt(1300) + 2 + sqrt(1300) + 4 + 3 - (sqrt(1300) + 1 + 2 + sqrt(1300))*2)*-3)**2.\nAnswer: -540*sqrt(13) + 11781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 2016, 2\/9, -1\/55 in descending order.\nAnswer: 2016, 1, 0.5, 2\/9, -1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l. Let c(d) = -6*d + 1. What is 7*b(u) + 6*c(u)?\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from gxwgxxgwwgwwxgxwww?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 227, 237, 249?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - (-6 + (-145 - -165) + (-22 - -2))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4035240 by -22418.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t**2 - 38*t**2 + 5*t - 9*t**2 in the form v + r*t**2 + q*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 183, 439, 891, 1605, 2647, 4083, 5979?\nAnswer: 8401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 0*m**4 + 0*m + 4*m**5 + 0*m**3 - 21\/2*m**2 + 7. What is the second derivative of u(w) wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/2)\/(6\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 9 = -8*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1001 + 40?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 4*i - c - 812, -4*i + 1218 = -2*c. Calculate the greatest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195\/2*a - 99 + 3\/2*a**2 = 0.\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let a = -33 + 35. Let n(b) = -214*b - b**2 + 420*b - 210*b - b**a. Calculate y(n(g)).\nAnswer: 4*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 1, i: 2, w: 2, g: 6}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -1. Let v(j) = -4 + 10*j + 1 - 2 - 4 - j**2. Let p be v(r). Which is smaller: 1\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-91))\/((-3)\/(-21)). Suppose 2*l - 13 = -2*m + 23, 0 = -a*m + 4*l + 36. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 15*t - 1. Let x be u(5). Let s be (x - (-18)\/4)*1*2. Are 4 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84559.365 times -0.2?\nAnswer: -16911.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 21 - -11) + (-5 - -35)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*((26 + 22 + 22)*(3*v**4 - 3*v**4 + 3*v**4) - v + v - v**4) - 3*v**2 - 2*v**4 + 3*v**2 + (v - 2*v + 0*v)*(v**3 - 2*v**3 + 2*v**3).\nAnswer: -839*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001101111011?\nAnswer: 1001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9105*o = 6109*o - 1710*o + 702208 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 17*j + 4\/9*j**4 - 13\/9*j**3 - 1\/30*j**5 + 2*j**2 + 0. Factor c(l).\nAnswer: -2*(l - 6)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 5*p + 2. Let x(b) = 9*b**2 - 11*b - 5. Determine -7*m(l) - 3*x(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from {v: 2, r: 1, t: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*u - 240, q + 0*u - 3*u = 75. Suppose 0 = -n - z + q, -2*z - 445 + 109 = -4*n. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/13 (b) -0.07 (c) 0.3 (d) -1191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32527302 divided by -79?\nAnswer: 411738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -91, 9, -14, 4, 0.\nAnswer: -91, -14, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/7 and -3\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 7 - 7*i + 3*i. Let c = -241 + 235. Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480858 and 1167798?\nAnswer: 8174586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37991640 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13296434 divided by -80099?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a. Suppose a = 2*h - 3*h - 3. Let r(t) = -4*t - 1. Is r(h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-3 + (sqrt(500) + 4 - sqrt(500) - sqrt(500))**2 + sqrt(60)\/(1*sqrt(1200))) + -1.\nAnswer: -1027 + 799*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(891))*5.\nAnswer: -60 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 181*b - 41. Let y be k(45). Solve 4*x + 3 = -2*i + 15, 2*x + y = 4*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 7, j: 9}. What is prob of picking 4 q?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -75504*a**3 + 8*a + 7. Is u(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21*p**2 + 2. Let f(l) = -83*l**2 + l - 9. Calculate -2*f(w) - 9*u(w).\nAnswer: -23*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70152, 138929, 207708, 276489, 345272, 414057, 482844?\nAnswer: 551633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/18*3*-3. Let j(u) = -u**2 + 8*u + 8. Let n(s) = -3*s - 40 + 18 + 19. Give l*j(d) - 8*n(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 7*x**2 - 60*x - 22. Let l(j) = j**3 - 2*j**2 + 19*j + 7. Let v(c) = -19*l(c) - 6*u(c). Let i be ((-6)\/4)\/(4\/8). Give v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 154740?\nAnswer: -154742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003060349585 rounded to 5 dps?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 24 = 1. Let y be z\/2*(-20)\/25. Calculate the greatest common divisor of y and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let u be 15\/(-6)*(-28)\/(-385). Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106085*f + 156663 = 106124*f. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18635261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2527.223 - -2522. Round f to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/12 + 11*i**2 + 31*i. Let u be w(-8). Let c be (2*(-1)\/u)\/(1\/(-4)). Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182522614 to the nearest integer?\nAnswer: 34388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.29 and 2361.\nAnswer: 2361.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5 - 3. Let q = 22 - 24. Which is the nearest to 2\/9? (a) v (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1908*d - 2362. Let r be i(81). What is r rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(168)\/(2*sqrt(7))*-4)\/((-3*sqrt(216))\/sqrt(3)).\nAnswer: -8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 8)*1\/5. Let r(o) = o - 10. Suppose 26 = 5*w - 19. Let d be r(w). Is q <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + sqrt(540) + -1*sqrt(540) + sqrt(540) + sqrt(540))\/sqrt(12) - (-2 + sqrt(45)*1 + sqrt(45)).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4\/5, -1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13063367, 13063366, 13063365, 13063364, 13063363?\nAnswer: 13063362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2922 meters to micrometers.\nAnswer: 1292200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.775367ml to litres.\nAnswer: 0.003775367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + sqrt(567) + -4)**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.2. Suppose 0 = -5*x - 2 + 17. Suppose -3*c + 2*c = -x*c. What is the smallest value in c, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-92)\/(-16))\/((-1)\/(-8)). Let w = k + 5. Let f(a) = a**3 - 6*a**2 + 3*a. What is the remainder when w is divided by f(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.6399 + -63.5213578. Let u = g - -75.8817678. Let y = u + -76. Round y to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 40. Let i be b(-12). Let n(y) = 5*y + 14. Let p be n(i). Let d be (32\/p)\/(-3*2\/(-325125)). What is d rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2 - 2*v)*(-v**2 + 0*v**2 - v**2 + (0 - 1 - 1)*(2*v**2 - 3*v + 3*v)).\nAnswer: 12*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15286.6158 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-4)\/s))\/s)\/(s*(s\/(s**4\/s))\/s))**(-3\/14) assuming s is positive.\nAnswer: s**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2 + 37*x + 36 = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 105*k**2. Let o be (-7 - 1)*-12 - 1. Let f(u) = 52*u + 47*u - o*u. What is b(f(t))?\nAnswer: 1680*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 6*k + k)*(-35*k**2 - 31*k**2 + 13*k**2) to the form r*k**3 + s + i*k + a*k**2 and give r.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41293.982439 - -41294. Round o to 4 dps.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12462341 is divided by 419.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -3. What is the smallest common multiple of q and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a - x, -a - 3*x = 11. Let p be (-2)\/(-4)*(a + -1). Sort -4, p, -10 in descending order.\nAnswer: p, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -13*d**4\/24 - 2*d**3 + 7*d**2 + 19*d. Let k(w) be the first derivative of x(w). What is the units digit of k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 = -4*p + 5*q + 604, 3*p - 2*q = 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 23a?\nAnswer: -23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.68672 from 1.\nAnswer: 1.68672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9729002.\nAnswer: 2, 37, 73, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t**3 + 58870*t**2 - 117640*t = 0. Calculate t.\nAnswer: 0, 2, 11764\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:35 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-2\/13)))*t**(2\/11))\/((t**(-2\/7)*t)\/t)**21)\/((t**(-1))**(6\/17)\/(t\/t**(-4\/7)*t*t**(6\/7))) assuming t is positive.\nAnswer: t**(189181\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/117 and -59\/387?\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -8\/9 (c) -4 (d) -8 (e) -0.4 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -42) + (1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 + 18256287461*j**2 - 18256287470*j**2.\nAnswer: -9*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {f: 3, v: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/12)\/5*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*n + 17, 2*n - 6*z - 11 = -z. Let g = 14 - n. Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 20*h**2 + 35*h - 14. What is d(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Suppose -l*t + 22 = -2*g, 0 = -2*t - 3*g + 2 + 3. Calculate the lowest common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779.285 millennia in centuries?\nAnswer: 77792.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 30*t - 60. Let m(v) = -5 - 2 + 10 + t*v. Let p be m(3). What is the greatest common divisor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/10 - 5*u**4\/24 + 15*u**2. Let b(m) = m**2 - m. Determine 11*b(c) - 2*t(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 98362*c**2. Let x(s) = -3*s. Calculate u(x(b)).\nAnswer: 885258*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/5)\/((-5)\/25). Suppose f = 3*f + h. Let p(b) be the first derivative of 3*b**2 + b + 1. Calculate p(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-147894)\/(-4888)*((-2730)\/(-250) + -11). Let q = z + -3\/1175. Let k = -6294 - -62861\/10. What is the common denominator of q and k?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = 5*u, 24111 = 5*a + 3*u. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/36*(-4 + (-4)\/(-2)). What is the second smallest value in 0.098, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 23 = 5*k, -4*k + 55248 - 55238 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 8. Let d be z(14). Let h = d - -70. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*i**2 + 11*i**2 - 15*i**2)*(19*i + 20*i**2 - 19*i).\nAnswer: -840*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10533.465 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v + 23. Let y = -120 - -104. What is the tens digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -756720?\nAnswer: 756717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10241\/4 - -2581. Let b = 18865483\/4597650 + 147\/15025. Let f = b + -2\/153. What is the common denominator of f and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 14100?\nAnswer: 14101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 12. Let o be n(7). Solve -y - 24 = -5*p, o*p - 12 = -2*y - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186853 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.301, 0.01, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -1\/10 (c) 1 (d) -1\/160\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/12)\/((-2264)\/(-40752))*1*2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -59. Is -27 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -8. Let y = -54 + f. Solve -2*n = 2*n + j - 2, y*n = -j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185645 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -0*n. Factor -4 + 2 + 1 + j**n.\nAnswer: (j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3175 litres in millilitres?\nAnswer: 22317.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000100110 (base 2) in base 6?\nAnswer: 33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -667*z + 668*z, 2*k + 5*z - 35 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d - 2)*(-2*d - 2 + 2) + 2747*d**2 - 5289*d**2 + 2683*d**2 + d**2 + 0*d + 0*d.\nAnswer: 138*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1485, 5713, 12765, 22641?\nAnswer: 35341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*h - 13, p + 8*h = 6*h + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4401 and 321342927?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 56*z - 46. Let k be r(-27). Solve -k*i + 6 = -18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36e + -ae8b?\nAnswer: -b30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -13\/204023546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -1303140?\nAnswer: -1303042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/119 and -13\/510?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*i**3*n**2 + 135*g*i**3*n - g*i**2*n + 2*g + 504*i**3*n**2 wrt n?\nAnswer: -2*g*i**3 + 1008*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13*c**2 + 10*c + 6. Let w be ((-10)\/(-20))\/(2\/(-8)). Let a(u) = 4*u**2 - 3*u - 2. Let m = -32 - -25. Determine m*a(d) + w*k(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*3*-3 - sqrt(25) - (sqrt(25) + (3*sqrt(75))\/sqrt(3) + sqrt(25)))\/(6*sqrt(55)\/(2*sqrt(11))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*j)*(-4*j**3 + 3*j**3 - 4*j**3 - 3*j) to g*j**3 + f*j + n*j**2 + z*j**4 + o and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 5*d**2 + 2*d - 1. Let h be c(3). Suppose -5*n - h = 44. Let k be n*(1 + 4\/(-2)). Calculate the greatest common divisor of 34 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from eeggeggeeee.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 7\/5, 23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 17 - 1 - 3131*s + 3144*s + 3.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {t: 1, m: 1, d: 4, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -854*r + 300*r - 703*r as w + l*r and give l.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 2, b: 1, j: 5, g: 3}. Give prob of sequence zgz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 171. Is w\/(-21) - (-286164)\/84 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-324)\/(-666288))\/(27\/144). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4169.61248, 2\/9, -2\/9?\nAnswer: -4169.61248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*l + 59 = 0, -4*r = 3*l + 34 - 133. What is the highest common factor of 13293 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136*b**3 + 135 - 1120 + 985.\nAnswer: 1136*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 176, 3, 1, -19, -2 in decreasing order.\nAnswer: 176, 5, 3, 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 67*b + 231. What is q(-28)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2275 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - 804\/(-10). Suppose -7*c + 2*c + o = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294.6369788 to one decimal place.\nAnswer: -294.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -52. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-32 + 48 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85541460 by -85541460.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0366 and 0.4.\nAnswer: 0.4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-201)\/(-540) + 2\/(-5))\/((-69453)\/185208).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 459856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/25)*j*j\/(j*j**(-11)))**(-17) assuming j is positive.\nAnswer: j**(-5117\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 343\/245 + (-2)\/((-20)\/6). Suppose 0 = 3*g + k - 694, -v*k - 1142 = -3*g - 2*g. List the prime factors of g.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-36)\/(-2))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*u + 27*u + 15755. Let f = u + -1562. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/4)\/(17\/(-17)). Let n = -23783\/4 - -5946. Let 0*g + 1\/4*g**5 + n*g**4 - d*g**2 - 1\/4*g**3 + 0 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**4\/12 + 3*p**3 - 545*p**2. Let t(l) = 4*l. Calculate o(t(n)).\nAnswer: 8*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/660*10*(-369)\/(-41).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 11. Which is the closest to 1\/5? (a) u (b) 0.3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/21)\/(y*y*(y*y*y**(-2\/7))\/y*y))\/((y\/(y\/(y\/y**6*y)))\/y*(y\/(y**(-1\/13)\/y))\/y) assuming y is positive.\nAnswer: y**(83\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.095*1\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*g = 15, g = 2*k + 3*k - 15. Suppose -k*v - 5083 + 24583 = 0. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b - 64. Let g be w(12). Let q(s) = -s**3 + s**2 + s + 1. Let o be q(-1). Solve -o*j + 0*j = -g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 1 - -2)*2\/24. Let h(z) be the third derivative of 0 + 2*z**2 + r*z**4 + 1\/60*z**6 + 0*z + 0*z**3 - 1\/15*z**5. What is n in h(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**43*l*l**(1\/24) assuming l is positive.\nAnswer: l**(1057\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -76?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 = -5*a, -4*a - 3 + 25 = 3*u. Solve -u*o + 24 = 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 4, 16, -8, -5 in decreasing order.\nAnswer: 16, 9, 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68065*h**2 - 68065*h**2 - 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -779*n - 418. Let x(p) = -15*p - 8. Let z(g) = -4*i(g) + 209*x(g). Let c(h) = -h**2. Calculate c(z(w)).\nAnswer: -361*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - 142\/(-5). Suppose 2*r = -a - 7 + g, -3*r + 51 = 3*a. Let h = a - 8. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-3)\/9*(-24)\/8. Is r >= 22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265\/8 + -33. Let n = 31 + -47. Let s = n + 16.5. Which is the smallest value? (a) o (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -cc?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -35626*j - 35628. What is t(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9905960?\nAnswer: 2, 5, 247649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)*z)**(-1\/37)*(z**(-4\/7))**(-29) assuming z is positive.\nAnswer: z**(21453\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 6\/13 (c) 0.1 (d) -1\/7 (e) 8 (f) -3\/100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 - 81 - 150 - 157)*(-2*u + 6*u - 3*u).\nAnswer: -258*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*y - 873*y - 789 = 159*p, 2*p + 4*y + 318 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 29. Let x = 26 + -26. Let q = 6 + -10. What is the closest to -0.1 in x, c, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237700 rounded to the nearest 1000?\nAnswer: 238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 + t**3\/6 - 15*t**2. Suppose -5 = -2*o + 7*o. Let a(c) = -c**3 - 4*c**2 - 2. Determine o*a(d) - 4*l(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-4*t + t + 5*t) + 0*t - 3*t + 7*t - 6 + 6 + 5*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139130.2 litres to millilitres.\nAnswer: 139130200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26970*m + 32 = 26966*m + 4*k, -26 = 4*m - k for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*q**3\/9 - 55*q**2\/9 - 64*q\/9 - 4\/3.\nAnswer: -(q + 2)**2*(13*q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95717?\nAnswer: 95717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13550*n + 11 = 13539*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 17. Let n = l + 1. Let s = n + 6.8. Which is the second biggest value? (a) 2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -28, 9, 60, 125?\n\"Answer: 7*m**2 + 2*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 15*g**2 - 7*g - 13. Is x(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5077, 10148, 15217, 20284, 25349?\n\"Answer: -m**2 + 5074*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6420 - 19076\/3. Let q = u - 62. Which is the closest to 1? (a) -1 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 50241236125 and -3193.\nAnswer: 50241232932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10185 at most as big as 11350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)*n*n**(-2\/7)*n**6*(n\/n**(-4))\/n*n)\/(((n*n\/((n*n*n**(2\/5)*n)\/n))\/(n\/n**(-6\/5)*n))\/(n**0*n)**(-11\/5)) assuming n is positive.\nAnswer: n**(1801\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -3*q + 19, -2*q + 5718*g = 5721*g - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42842 rounded to the nearest 100?\nAnswer: -42800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168577690 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-213)\/(-3) + (2 - 0). Suppose 5*g - b = -0*g + t, -4*g + 2*t + 62 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30 = -2*j - 0*j, -2*q = -j - 19. Let d(f) = f - 26 + 7 + 13 - q*f**3. Let c(n) = 15*n**3 - 2*n + 11. Give 6*c(l) + 11*d(l).\nAnswer: 2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 0*y + y)*(41*y**3 + 6*y**3 + 0*y**3) as k*y**3 + f*y**4 + z + s*y + u*y**2 and give f.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Let p(n) = -n**3 + n**2 + n + 3. Let l be p(-3). Suppose b = -m*b + l. What is the greatest common factor of 84 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -77537?\nAnswer: -77540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:25 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Is ((-2)\/k)\/(3\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62610 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 1. Give p(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1235825 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q + 30. Let b be y(0). Solve 2*i = -5*a + b - 13, 4*i - 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b + 5. Suppose -j = -3*p + 14, -7*p + 3*j + 21 = -5*p. Let n(v) = -5*v - 5. Determine p*d(i) + 4*n(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 5. Calculate the lowest common multiple of 11 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430445524.\nAnswer: 2, 31, 11535851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.16, -2\/3, -614?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 501, -18\/5, -14 in ascending order.\nAnswer: -14, -18\/5, -3\/2, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = p - 9, -446*m + 448*m = -2*p + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000220091109 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/16 + r**3\/12 - 3*r**2\/4 - 31. Find d such that f(d) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 232 and 5.9?\nAnswer: 226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 4 = -84. Suppose 7*f = -j*f + 418. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54200*m**3 - 216798*m**2 - 216792*m + 8.\nAnswer: -2*(m + 2)**2*(27100*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 508*w - 497*w - 776941. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67401 times 10856\nAnswer: 731705256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-132)*(-4 + 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53 (b) -9 (c) -0.133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.6. Suppose 5*j + 20 = 3*f - 0*f, -4*f + 4*j = -16. Which is the nearest to f? (a) 7 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:31 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206175 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 304.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofq when three letters picked without replacement from qqossqsqsqoqf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(288).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49111 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.470560475 to three dps.\nAnswer: 0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - -1. What is the third derivative of 26*h**3 - i*h**3 - 3*h**2 + 2*h**2 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 163*d**2 - 134*d + 4. Let y(h) = -h**2 - 67*h + 1. What is -p(n) + 2*y(n)?\nAnswer: -165*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234224 (base 8) to base 2.\nAnswer: 10011100010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-6)*6\/9. Let y(p) = -p - 13. Let a be y(-4). Let m = a + j. Solve 4 = 3*w - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from nufnuininfnfnfnnf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(1053) + -2 + ((sqrt(1053) - (2*(sqrt(1053) + 2) - sqrt(1053))) + sqrt(1053))**2.\nAnswer: -63*sqrt(13) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 511 + -243. Let f = 641 - 607. What is the remainder when y is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-79)\/2*(-3 + 1). Let r = 82 - w. Solve -5*y - 3*g - 8 = -y, -r*y + 2*g = 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.24 - -0.24. Let n = y - -9.6. Which is the nearest to 2? (a) -2 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -13, -3, -75 in increasing order.\nAnswer: -75, -13, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -51071*t**2. Let y(w) = -29*w. Give f(y(n)).\nAnswer: -42950711*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)*f**10)\/(f**(1\/9))**(10\/11) assuming f is positive.\nAnswer: f**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + (-1070)\/45. Let g = 71\/3 + b. Let d be 40\/(-42) + 1 + 6\/(-18). What is the second smallest value in 0, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2644*n + 2194*n - 2769*n.\nAnswer: -3219*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 = -2*o. Let p be (-3*(-4)\/(-6))\/(-2). Calculate the highest common divisor of p and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-158.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8890957927 and -0.02?\nAnswer: 8890957927.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*((a**6*a)\/a)\/a*a)\/a)\/(a\/a**(1\/3)))\/(a\/a**35)**(2\/27) assuming a is positive.\nAnswer: a**(212\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405510 is divided by 107?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2355 or 1059\/5?\nAnswer: 1059\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 805451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 4. Let z(n) = -22 + 8 + 7*n + 10 - 3*n. Let b(i) = 6*h(i) - 5*z(i). Let g be b(-14). Solve 3*o - 5*d = -g, -2*d = -2*o - 2*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -117.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -47, -129, -253?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 27*f**3\/2 - f**2 - 1083*f. Let p(l) = 3*l. Give s(p(o)).\nAnswer: 243*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22050*i - 8372 = 22349*i for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 276*g - 1022 - 3406 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 354*y**2 + 132*y + 127. Determine v(-1).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000332761818 to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (100 + -164 - 28) + 34 + 1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -423 + 427. Let a be (1 - (5 + -3))\/1 + r. Solve -u - 12 = -3*t, 0 = -6*u + a*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -166? (a) 4705 (b) 4\/7 (c) 13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159\/4 - 40. Let c be (-1 - -2) + 1 - 2. Let p be (-2)\/(-2)*(3 + c). What is the nearest to x in p, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2. Let y(d) = -2*d**2. Let b be (-2 - (-8)\/6)*-3. Suppose 4*q - b*f = -5*f - 27, -q = 5*f + 11. What is q*l(j) - 13*y(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddd when four letters picked without replacement from {r: 1, d: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 31*l**2 + 265*l + 44. Calculate k(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q + 115. What is d(-14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 + 24087?\nAnswer: 23804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 20. Let b be o(-7). Let a = -11 - b. Is 23 a factor of a\/9 + (-624)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-69870.45.\nAnswer: -139740.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324497, 324528, 324581, 324656?\nAnswer: 324753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 66*s + 23. Let r be b(3). Suppose 4*c = -3*v + r, 0 = -5*v - 3*c - c + 355. What is the remainder when v is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169068 is divided by 3842.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608 = -78*n + 3072 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5120 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -8\/13493, 0.2, 3 in increasing order.\nAnswer: -2, -8\/13493, 0.2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 15 = -9*x - 6, -3*w - 4*x = 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.156 + 2.386. Round j to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184715430*b**2 + 152216259.\nAnswer: 369430860*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.63 - -1.63. Let z = -93\/451 - -1\/41. What is the closest to 0.4 in k, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 - -22)*4\/(12\/5). Solve f*r = 4*t + 2*r - 15, -2*t = -2*r - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 165020.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225520?\nAnswer: 2, 5, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/(4648\/896)*5\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40 - 21 - 10*t**4 - 6 with respect to t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, 4\/5, 0.0308, 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.99 - -3.71. Let z = q - -7.5. Sort 1, 4, -3, z in ascending order.\nAnswer: -3, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 836*i\/9 - 1664\/9.\nAnswer: -2*(i + 2)*(i + 416)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + p + 3*d, p + 2*d = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44010)\/1141)\/(-6*5\/70).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 101250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431305 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7.167 times -1.08\nAnswer: -7.74036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 20, 0 in ascending order.\nAnswer: -9, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58236.\nAnswer: 2, 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 587563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 0, 1264*r - 1263*r + 5 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 2418336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 24885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 0, -5, -55027?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 52. Suppose 3*s + 4*v - 14 = 0, -2*v + 32 = 4*s - 0*s. Calculate the lowest common multiple of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24420067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 at most 892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226976896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019939484 rounded to seven dps?\nAnswer: -0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -2.102\nAnswer: -0.2102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -232*a + 5076. Determine y(22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 58. Suppose -5*c = q*x - 17*x - 46475, c - 3*x - 9278 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 14*w**3 + 3*w + 2 - 2*w + 4*w**3 as z*w + k*w**2 + n + t*w**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 737766 divided by -81974\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 145 + 110. Calculate the greatest common divisor of 34 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 - 6\/2). Suppose a + 2 = -o*a. Let c = -4 - -2. Do a and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051 + 62718668.653.\nAnswer: 62718668.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*a + 263*a - 2625 = -43*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**2 - 69 - 61 - 2*b + 2*b + 94 as f*b + z*b**2 + t and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(3\/4)*(i*(i\/i**0)\/i)**(-33))**(-38) assuming i is positive.\nAnswer: i**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.4 (c) -0.5 (d) 1\/10 (e) 1013 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/60 + 7*n**5\/30 + 11*n**4\/12 + 5*n**3\/3 + 4*n**2 + 15*n. Factor i(u).\nAnswer: 2*(u + 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/5 - 92474*v**3\/5 + 1424623086*v**2\/5 - 7303068142798*v\/5 - 29326390440472 = 0. Calculate v.\nAnswer: -20, 15419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 1\/4, 22\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.5. Let l = 11 + -7. Suppose 25*n - 148 = -5*n - 7*n. Which is the nearest to n? (a) i (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*q + 342 = 142*q + 2*a, -2*q - 5*a = 247 for q.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*y**2 - 130*y**2 - 125*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85403262 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122076 - -6618. Let t = o + -77494. What is t rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 - 3*c + 87 + 2*c**4 - 46 + (-2*c**2 - c**2 + 5*c**2)*(0*c**2 + 0*c**2 - 2*c**2).\nAnswer: -2*c**4 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/10)\/o**(22\/5))\/((o*o**17)\/o*o**(-2\/5)) assuming o is positive.\nAnswer: o**(-213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let d = -2\/63 + 67\/126. Which is the nearest to d? (a) 0.1 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*o - 7 - 17, 16 = 4*o. Is 8 a factor of x - (-1 + (-1 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, r: 3, s: 1, n: 1, w: 2, d: 2}. What is prob of sequence wr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2. Let t(d) = -2*d**2 - 3*d**2 + 23*d - 23*d. What is c(t(p))?\nAnswer: -100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3230022213 (base 4) to base 3\nAnswer: -1211010221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 18*f**3 + 2*f**2 - 2*f + 1. Let y be (-1 + 0)*5\/(-5). Let t be v(y). Suppose -4*p + t = -33. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 6180?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 2, j: 7, d: 1, u: 7}. What is prob of picking 1 o and 2 x?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/8)\/7*12\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 3393768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -7*w**2 - 6190*w - 1768 = 0.\nAnswer: -884, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*c, 15*c + 6 = 13*c for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 949.9 - 954.9. What is the second smallest value in -0.01, -0.06, 2, j?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 3238622618?\nAnswer: 3238622617.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 2, b: 1, m: 3}. Give prob of sequence mvb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 33365475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -532769*h - 2131068. What is r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -6, -4, 4 in descending order.\nAnswer: 4, -4, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 196*l**2 - 131*l - 25680. Determine x(-196).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 b when four letters picked without replacement from {o: 7, b: 3, t: 4, n: 2, l: 1, x: 1}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25674 is divided by 174.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45581355 or 45581356?\nAnswer: 45581355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 380, 123, 8 in descending order.\nAnswer: 380, 123, 78, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. What is the units digit of -1*((-135)\/3 - x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-69))\/(42\/63))\/((-11)\/(-44)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a + 2*a + (-20*a - 3*a**4 + 20*a)*(-46 - 111 + 245).\nAnswer: -262*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17940, 71780, 161514, 287142, 448664, 646080, 879390?\n\"Answer: 17947*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -86624*d**3 - 224*d**2 + 224*d + 448. Let o(h) = -1155*h**3 - 3*h**2 + 3*h + 6. Calculate 224*o(c) - 3*y(c).\nAnswer: 1152*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5408, 10816, 16228, 21644, 27064?\nAnswer: 32488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b + 901. What is the remainder when 209 is divided by f(-44)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12655875*n. Let q(w) = 7502*w. Let b(m) = -4*d(m) + 6750*q(m). Let r be b(6). What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 349*g**2 + 1369*g - 3978. Give v(-345).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 3)*(1 + 0). Let n be 10\/(-2)*(-4)\/z. What is the third derivative of 4*s**6 + n*s**6 - 4*s**2 - s**3 + s**3 wrt s?\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjqjjjjjqjqjjj. Give prob of picking 3 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4629915*w + 3314901 wrt w.\nAnswer: 4629915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/3 - 17*m**2 - m + 4. Let g(t) = -t. Calculate g(u(c)).\nAnswer: 2*c + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 12*t, n - 11140*t = -11143*t + 58 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*f**3*k**3 - 60*f**3*k**2*n**3 - 6*f**2*k**3*n - 4*f**2*k**3 - f**2*n**3 + 10*f wrt f.\nAnswer: -288*k**3 - 360*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 38*w + 11. Let x be a(7). Let i = -137 - x. What is the remainder when i is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + t - 3*t)*(-4*t**2 - t**3 + 4*t**2) + (-6*t + t + 3*t)*(-5*t - 4*t**3 + 5*t) as g*t**3 + n*t**4 + q*t**2 + s*t + m and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -711, -1052, -1393, -1734?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 24886*b - 24888.\nAnswer: 2*(b - 12444)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007086955 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*f. Let z = -40 + 45. Suppose z*v - 23 = -8. Solve 0 = 2*g - f, v*j = 4*g - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1585*g + 2 - 17*g**4 - 2 + 1600*g wrt g?\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 92.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7774 is divided by 1669?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6521*g**2 - 79*g - 19.\nAnswer: -13042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i - 12. Let n be -3*(-24)\/9 + 2. List the prime factors of s(n).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*v = 5*h + 46, 26*v - 179 = -122*h + 127*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let f be 18\/(-15)*(-70)\/c. Let b = f - 54. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5257 = -158*p - 67*p - 307 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-3*(-2)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5411561, -5 in ascending order.\nAnswer: -5411561, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3277187831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111 - -1?\nAnswer: -100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465870231*s**3 + 415587602*s**2 wrt s?\nAnswer: 2795221386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 3)\/(3\/4) + 95. Let w = -1483\/15 + c. Factor 2\/15*d**2 - 2\/15*d**4 - 2\/15*d**3 + w*d + 0.\nAnswer: -2*d*(d - 1)*(d + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1412*d**3 + 13*d**2 - 7*d + 76088970?\nAnswer: -4236*d**2 + 26*d - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 174 in -1\/30, -2\/3, 676?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2957, 3223, 3685, 4349, 5221, 6307, 7613, 9145?\nAnswer: 10909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 - -121?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 2*s - 1. Let l(j) = -j. Let n(q) = -g(q) + 2*l(q). Let y be n(1). Solve -i = 5*h + 27, -h + 3 = 2*i - y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*p - 27*p = -488. Let v(b) = -8*b**2 - b. Let x(c) = -16*c**2 - 3*c. Determine p*x(m) + 9*v(m).\nAnswer: -8*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10584\/(-270))\/(35\/(350\/(-24))).\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:54 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/121 and 19\/47.\nAnswer: 5687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/32247947 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 137 + 255 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + 0)*(-3)\/(-9). Suppose 0 = -5*h - 25, 3*g - b*h = -0*g + 180. Let r = 21 + -10. What is the greatest common divisor of g and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-21))\/(225\/(-75)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -164592.543 to the nearest ten.\nAnswer: -164590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-10)*(v\/(v*(v**2*v)\/v)*v)**(-15) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -9\/5, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4374 and 819.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 147, -11\/5, -2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 359953 to the nearest one thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20949007*k**5*w - 7*k**2*w**3 + k*w**3 + 4*k*w**2 + 96*k*w - 20*w**3 - 9*w - 49 wrt k.\nAnswer: 418980140*k**3*w - 14*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 + 833 = -22*j. Put 0.1, 0, j in ascending order.\nAnswer: j, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 - 1786*v**2 - 801*v - 1563. Calculate c(-198).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 185*o**3 + 2475*o**2 - 13915*o + 26620.\nAnswer: 5*(o - 11)**3*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -253 - 159. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 57. Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1 + 5*d - 5 + 6. What is the remainder when g(3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 679.9732 nanometers?\nAnswer: 0.0006799732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33667689 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 12:38 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 2*y - 8. Let p be j(-6). Let w = -70 - -75. What is the second derivative of -6*t**w + p + 2*t - 52 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -2*h**7\/21 - 7*h**3\/3 + h. Find the second derivative of f(b) wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 5\/7, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*f**3 + 2*f**5 - 12*f**3 - 16*f**3 + (-4*f**2 + 4*f**2 + f**2)*(-23*f**2 - 22*f**3 + 23*f**2).\nAnswer: -20*f**5 - 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 5. Let a be b(-3). Sort -2\/11, 0.3, a in ascending order.\nAnswer: a, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-13335)\/84)\/(9\/12). Solve 20 = -630*w + r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-360) - (-1)\/(-2). Let f = -1\/40 - p. What is the third biggest value in 3, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45878.\nAnswer: 2, 7, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39991780 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -14*t + h + 20 + 18, 12331*t + 360 = 12377*t - 4*h for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -11*o**3\/3 - 3*o**2 - 13*o. Does 27 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (212\/8)\/(14\/(-172)). Let q = -327 - c. What is the common denominator of q and -48\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-21) + (20\/75)\/(10\/(-475))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8486 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (9 - (4 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*y - 162. Suppose 4*t - 16 = 2*t - b, 8 = t + b. Calculate the lowest common multiple of y and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2. Let u(z) be the first derivative of 5\/2*z**2 + 6 + 0*z. What is u(y(v))?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 9. Let z be k(-4). Let o be z*((-6)\/(-10))\/3. Solve -3 = l + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-126))\/5*(-387)\/215.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 36*c**4\/5 + 221172*c**3\/5 + 339664897*c**2\/5 - 113240064*c\/5 + 9437184\/5 = 0.\nAnswer: -3072, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*a + 429*a - 412*a = 20826 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 18224*t**2 - 12578548*t + 2371700232.\nAnswer: -4*(t - 3762)*(t - 397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 97.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u. Let m(v) be the second derivative of v**3\/3 + 9*v. What is y(m(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44310259.\nAnswer: 7, 23, 39317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7400*m - 7409*m - 7417*m + 60*m**3 + 22216*m.\nAnswer: 60*m**3 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 20 = -2*g, -60*g = -55*g + 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 - (-14 - 110) - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64 times -942\nAnswer: 60288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 15. Suppose -3*k - 2*s - 16 = -532, 3*s - 689 = -n*k. Suppose -k = -4*g - g. Calculate the greatest common factor of 85 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2. Let g(q) = -q - 12. Suppose 0 = -9*x + 43 + 11. Let b(a) = x*p(a) - g(a). Let d(n) = -23*n. Calculate b(d(w)).\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 55 = 269. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w + 504. Determine c(-35).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 8673?\nAnswer: 8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261.5 - -256.5. Which is the second biggest value? (a) l (b) 0.4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0813 - 6.29666?\nAnswer: -6.37796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.515522831 to 4 decimal places.\nAnswer: -9.5155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4410 and 5368146.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, -25.1, 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -190656 + 0?\nAnswer: -190656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 31 + 11. Let o be 6\/21 + 52\/r. Solve o*y - 15 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -398243, -796514, -1194817, -1593152?\n\"Answer: -16*l**2 - 398223*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96.33627um?\nAnswer: 0.009633627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1070 - 1069. Sort 25, 0.1, k in decreasing order.\nAnswer: 25, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)*o*o\/(o*o*o**2*o)*(o\/(o**6\/o))\/(o**(2\/25)*o))**27 assuming o is positive.\nAnswer: o**(-11529\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 4) + -9 + 14. Suppose -w - m*w = -33. Suppose 0 = 4*q - 2*j - 106 - 80, 127 = 3*q + j. What is the greatest common factor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)\/q**3*q**(-3)\/q**(1\/6)*(q**1)**(-11)\/(q**5*q**(1\/4)\/q) assuming q is positive.\nAnswer: q**(-281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-55)*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2977 - -3031. What is the lowest common multiple of 1053 and p?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 4*q**2 - 2*q - 1. Give v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 2240*s + 76018. Give h(411).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 21*w + 30 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(-4) + 49. Let r = w + -45. Let x be (18\/r)\/9*10. Solve h + 7 + 12 = 3*v, -x*v + 37 = -3*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/2 - i**3 - 3*i. Let j(k) be the second derivative of k**4\/3 - 2*k**3\/3 - 2*k. Determine -8*j(h) + 5*v(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16507, 16510, 16513?\n\"Answer: 3*w + 16504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535 - 530. Let a = 4.07 - 0.07. What is the nearest to 1\/14 in -1, p, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038077 + 5.483.\nAnswer: 5.521077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 56 + 133 + 6*n - 4*n + 67 in the form c*n + u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 2:29 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 959 and 615541.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 40. Suppose y = 7*f - 3*f + 68. Let s = f - -13. Put -2, -1, 1, s in decreasing order.\nAnswer: 1, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 5685 divided by -3\nAnswer: -1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7431 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*-2*(1 + (-5)\/(-4)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 + (21\/(-2))\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 432*i + 9*i**2 + 8*i**2 - 30*i**2 + 11*i**2 = 0. What is i?\nAnswer: 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**18*x*x*x**(6\/7) assuming x is positive.\nAnswer: x**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2022 and 16079618.\nAnswer: 48238854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18195 is divided by 269?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:48 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 19. Let l(n) = -1 + 3*n**2 - 1 + 3 - 2*n**2. Let m(v) = -v**2 - 2. Let h(q) = 2*l(q) + m(q). Calculate z(h(d)).\nAnswer: 2*d**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.2807 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 172 = 3*d - 3000, d - 952 = -2*i. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3605 or 3616?\nAnswer: 3605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*g = 17, 5*s - 3*g = g - 1. Suppose -2*b + 8 = -2*o, -2*o = b - 0*b + 8. Suppose -3*l + b = -6. Solve -s = -v - q, 8*v - 3*v + l*q - 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13006 - -d?\nAnswer: 13014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*a**3\/23 - 7504*a**2\/23 - 3746*a\/23 - 468\/23 = 0. Calculate a.\nAnswer: -234, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 3:36 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**2. Let d(j) = -3*j - 8. Let z(r) = 5*r + 14. Let h(f) = 7*d(f) + 4*z(f). What is h(p(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -158. Let l = -4161\/2 + 2128. What is the common denominator of l and 6\/f + 833\/(-1870)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 38 - 37 + g**3 + 94*g**2 + 49*g**2 - g to the form q + p*g**3 + w*g + k*g**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {y: 1, f: 1, n: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (7 + -4 + -4). Suppose l*r = -y + 1143, -3*y - 5*r + 5635 = 2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 - 649255160*i - 52691532848328200 = 0.\nAnswer: -162313790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2584 - 472 = 22*y. Is (4908\/16)\/(18\/y) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 343. List the prime factors of q.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 8*z**2 + z - 2. Let q be x(8). Let r(y) = 4*y + 19. Calculate the remainder when r(q) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - 238. Let s = -288 - m. Solve -s = -5*w + 4*v, 5*w - 15 = 2*v + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 9534 = -132*m - 126*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (4 - 2)) + (12 - 36) + 4 - 6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1567, 1573, 1593, 1633, 1699, 1797, 1933?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2263121?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {k: 1, l: 5, i: 1, w: 1, s: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31*2*(700\/40)\/(-35)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50942627\/2817 - 18084. Is 1 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 148*z - 588. Let o be q(4). Sort -4, o, 6, -19 in descending order.\nAnswer: 6, o, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**(-11)*b)\/b))\/(b\/(b*b**(1\/3)*b*b)))**(-1) assuming b is positive.\nAnswer: b**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -88109 + 5353. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -1\/4, -4\/3, -3\/5 in ascending order.\nAnswer: -5, -4\/3, -3\/5, -1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*s - 12, s - 2*h = 2*h - 18. Which is the nearest to -1? (a) 3 (b) s (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*c**4 + 2*c**2 + 773*c - 4 wrt c?\nAnswer: 3048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:45 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 4*i**3 + 4*i)*((5 - 2 - 2)*(2 - 1 + 5) + 1 + 1 + 3).\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, a: 8, h: 1, t: 1, o: 2}. What is prob of sequence tfo?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 851158 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2716 + -105.5584. Let i = 130 + r. Let z = 22.2 - i. What is z rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0373115 micrograms in grams?\nAnswer: 0.0000000373115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13949815 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 value of (-6)\/46*20\/30?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28463 - 25346. Which is the second smallest value? (a) -3 (b) y (c) -1 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -3, -0.4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 23*x + 55. Let v be k(3). Let p = -80 - -85. Solve -5*h = -o + v*o - 23, p*o = h + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 2*t**3 - 10*t**3 - 10*t**3.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -436406 times 3\nAnswer: -1309218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -1096 in decreasing order.\nAnswer: -1, -5, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/7)\/((-12)\/56). Calculate the common denominator of -139\/18 and 4\/(-4) - (-262)\/a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1022)\/(-3212)*(12 - (1 - (-2)\/(-4)*-6)).\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z - 9*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4536 and 14408982.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/48 + 1\/(-2) + (1 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 747 - 277 + 202*s + 929 - 241 - 199*s as y*s + x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Let x(o) be the second derivative of 0*o**2 + 0 + 1\/2*o**3 - 3*o. Give c(x(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1235 and -18\/7?\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*g - 53 - 31, -3*c = 4*g - 35. What is the highest common divisor of c and 3129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8837756*f + 9249724 wrt f?\nAnswer: -8837756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 124. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.05\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/336*(-98)\/72. Let c(m) be the third derivative of 0 - 10*m**2 - 5\/6*m**3 + b*m**4 + 0*m. Differentiate c(v) wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + (-1 + 2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*b = -2, -46*b = 4*f - 51*b - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1239\/(-14868))\/(2\/12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = 0, -3*y = z + 6 + 11. Let s = -5 - -10. Sort 4, s, -5, z.\nAnswer: -5, z, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/336 - (-5)\/8 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96474729 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1129, -2230, -3305, -4354, -5377, -6374?\n\"Answer: 13*q**2 - 1140*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (((4*sqrt(119) - sqrt(119)) + sqrt(119))*-2 + sqrt(119)))*-4)\/((sqrt(686)\/sqrt(2) - sqrt(7))*-1).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1968 from -64205499.\nAnswer: -64203531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4385*k + 2*k**3 - 3*k**3 + k**3 + 4385*k - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*f**4 + 11*f**3*t**3 - 2*f**3 - 113*f**2*t**2 + 2*f*t**2 + 10*t**3 wrt f.\nAnswer: -1008*f + 66*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*k - 27 = -172*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 12. What is the units digit of 10\/(-8)*(-112)\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + -6 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 16. Let k be o(14). Let z(b) = -15*b**2 - 6*b - 6. Let h be z(k). Let v = -39 - h. What is the greatest common divisor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from oose.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 35 = -145. Do -2\/137 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-2) - (-2)\/(-4). Let p(g) be the first derivative of 6 + 2*g**3 + 3*g + 1\/4*g**4 + 0*g**2. What is p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30066157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 145*1\/(52\/8 + -4). Suppose 3*n - n = -2*o + 122, -o + 2*n + a = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 7*a + 4. Calculate d(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.3 (c) 1\/3 (d) -6.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46931541 divided by 257\nAnswer: -182613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 175, 174, 173?\n\"Answer: -s + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7097000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4230)\/(-1175)*65\/3)\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415773157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/20 - o**3\/6 - 7*o**2. Let t be m(-1). Sort -3, t, -1.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3*u**4\/4 + 2*u**3\/3 + u**2\/2 - 5*u - 1347. Determine s(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**4 + m**3 + m**2 - m - 1. Suppose -2 = 2*y - 4. Let o(r) = 5*r**4 - 4*r**3 - 7*r**2 + 6*r + 6. Let b(w) = y*o(w) + 6*i(w). Factor b(k).\nAnswer: -k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36195 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2011 + -1999.0022. Let j = n + -12. Round j to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2. Let r(m) = -65117*m**2. Determine k(r(d)).\nAnswer: -25441342134*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -10)*7\/4. Let a = 11 - 7. List the prime factors of (-44)\/t + a\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 13 - 5*g + 4*g. Calculate the remainder when q(-5) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 0, 3\/2276.\nAnswer: -8, -6, 0, 3\/2276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.5 (c) 5 (d) -3 (e) 1530\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136\/3 + -45. Let k = 3.08 - 0.08. Let j = 28225.2 - 28225. Which is the closest to s? (a) 2\/109 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 + -52 + 37)*1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.1703mg to micrograms.\nAnswer: 239170.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.255 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 8:34 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 189, 342, 495, 648, 801, 954?\n\"Answer: 153*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + -70 + 64 - (-41 + 53)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -103 in increasing order.\nAnswer: -103, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(1\/24)\/(((h\/((h*h**2)\/h))\/h)\/(h\/(h*h\/(h*h**(3\/7)\/h)*h*h))) assuming h is positive.\nAnswer: h**(-89\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (26 + -9 + (1 - 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -26. Let q be (10\/(-8))\/(u\/4). Let d(c) = -c**3 - 6*c**2 - 4*c - 4. Determine d(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + 0.1. Let o = 7716.2 + -7716. What is the third biggest value in 4, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 2. Let t be y(4). Let j be t\/(-2)*(-2)\/(-3). Let z be 0*((-3)\/j - -2). Which is greater: -3\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**4\/2 - 14*v**3\/3 - 37*v**2. Calculate the least common multiple of i(6) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*u**5 - 235*u wrt u?\nAnswer: 2620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28918503 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(4 - 2 - 1) + 1 - 80 - 48 - 39)*(-q**2 + 3*q**2 + 2*q**2).\nAnswer: -672*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from hxhpjqhjxbqp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -449*k**3 - k**2. Let c be p(-1). Let h be c\/(-12) + 4\/(-6). Let y = -19 - h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3470836um?\nAnswer: 347.0836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -359, -541, -723, -905, -1087?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/15 + 98*g**3\/5 - 80*g**2 + 1208*g\/15.\nAnswer: 2*g*(g - 2)**2*(g + 151)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002906 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 694 + -696. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1268*o = -76*p + 75*p + 2543, -2*p = -5*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5436\/8 - (-2)\/4. Suppose 0 = 11*l - 1003 - j. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:23 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-350))\/(14\/49).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(((-1)\/5)\/(2184\/1365)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -623, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/30 + 21*k**2\/2 - 21*k. Let d(n) be the first derivative of x(n). Let v(g) = -42*g. Give d(v(j)).\nAnswer: 3528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k\/(k**(-1)*k))))**24\/(k*k\/(((k\/(k**(1\/8)*k))\/k)\/k)*k*k*k*k\/(k*(k\/(k*k**(3\/5)\/k))\/k)) assuming k is positive.\nAnswer: k**(1611\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*f**3 - 335*f**3 + 9 + 10 - 19 - 325*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3240 by 1080.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31, 2, -5, 3, -12, -79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 13*s**2 - 6*s + 4. Let l be v(6). Suppose 0 = -2*z + l, -3*r + z = 3*z - 454. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -147, -146?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904300 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*p - 5*p**3 + 21*p**3 - 18*p**2 - 1 - 31*p as z + h*p + s*p**2 + j*p**3 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 0. Which is the closest to o? (a) -0.3 (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3204*n**2 - 3208*n + 4.\nAnswer: 4*(n - 1)*(801*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 + -188. Let p be (-22)\/(-1) - 2 - n. What is the greatest common factor of p and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose -2*b - 5*p + 10*p = 48, 4*p - 52 = q*b. Find the common denominator of (28\/10)\/((-8)\/b) and -37\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186, 637, 1360, 2349, 3598?\n\"Answer: -j**3 + 142*j**2 + 32*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*o**3 - 2*o**2 + 3*o - 82?\nAnswer: -72*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 0, -5, -12, -21, -32?\n\"Answer: -q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q + 3*t + 10, 0 = 3*q - 3*t - 15. Calculate the greatest common divisor of q and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x - 504. Let w be r(33). Solve -w = 4*g - 12*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 2*b - 6 + 186 + 1098 + 2*b as i*b + o*b**3 + k + y*b**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314353 (base 6) in base 4?\nAnswer: 303310131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/22272 and -1\/151264.\nAnswer: 3630336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4516, 1.4, -1\/4, -2, 5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:27 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133972.6 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.83 + 52.81. Let b = 13 - 12.1. Let c = b - 1. Put -0.2, c, k in decreasing order.\nAnswer: k, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2\/2 - y - 1. Let j(a) = -a - 1. Let t be 0\/(1\/(2\/4)). Let c be j(t). Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 - 11*w - 213 + 439)*(3*w**3 + 2*w**3 - 4*w**3).\nAnswer: -11*w**4 + 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q - 144. Let g be u(-11). Which is greater: g or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 9. Suppose -4*s - 10 = -18. Let k(m) = 3 + 2 - 4 + s. Give -7*k(f) - 2*u(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -31. Let i be (g - (-6)\/4)*-6. Let l be (-1 - (i + -1)) + (-4 - -5). Solve 0 = 3*v - 4*a - a + 5, l*v = 5*a - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.228 to 2 dps.\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.103 - -45.897. Let h = 45.9621354145 - -0.0378636355. Let g = h - p. Round g to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51354485 and 4602.\nAnswer: 308126910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.5 (c) -88412\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-8 + (-70 - (-8 + 10 + 5 + -9)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 28, -46*d = -47*d - g - 2. Let j(u) be the third derivative of 0 + 1\/210*u**6 + 50\/7*u**4 + 2000\/21*u**3 - 21*u**2 + 0*u + 2\/7*u**d. Factor j(a).\nAnswer: 4*(a + 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/3)\/((-2)\/(-3)). Let i = k + -3. Let v be -1 + (i\/1 - -3). Let m(u) = u - 2. What is m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 48*p - 156. Let a be c(3). Let k(t) = t**2 - 5*t + 5. Let b be k(6). Let i = b - a. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2 + 2 + 1041*n**2 as w*n**2 + c*n + u and give w.\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-5)*(3 - (-1 + 5)). Solve -11*y = -29 - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.383\nAnswer: -3.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 11 + 26. Let j(i) = i**2 - 3*i - 3. Give j(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o - 4*o)*(o**3 + 0*o**3 - 2*o**3) + o**2 + 2*o**4 - o**2.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -46*q + 51. Let w(t) = -40*t + 47. Let a(k) = 6*g(k) - 7*w(k). What is a(13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -7*r**6\/60 + 3*r**2. List the prime factors of y(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-21) + 2\/3. Suppose -5*i + 17 = -h - 6, -17 = -5*i - h. Let m(a) = -a**2 + 5*a - 5. Let q be m(i). Is q at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*j**3 - 5598*j**2 - 623*j - 822.\nAnswer: 522*j - 11196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*f**3*n**3 - 403*f**3*n**2 + 12*f + 5*n**6 - 6815*n**3 - 1127*n**2 wrt n?\nAnswer: -1254*f**3 + 600*n**3 - 40890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1812 and 2136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (59 - 55) - 45?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(176) - sqrt(176)) + 0 + -3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22655804 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17*h**2 - h + 3. Let v be u(-5). Suppose -f = -2766 + v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 47675*x + 30780970 = 0. Calculate x.\nAnswer: -607, 10142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 918570 or 918572?\nAnswer: 918572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-1) - (-2 - 0). Let t = 1 + l. Let a be 4\/t - (-192)\/14. Solve -5*y - 2*b = -1 - 1, -5*y = -b - a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 5*y + 3 - 2*y + 154382*y**2.\nAnswer: 154382*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {r: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -817*o**2 + 257*o. Let f(c) = 2*c**2. Calculate a(f(r)).\nAnswer: -3268*r**4 + 514*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3421545 (base 6) to base 9.\nAnswer: -284722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000308523 to 6 decimal places.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/(108\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 + 4\/10. Suppose -5*r - 2*w + 3*w - 7 = q, -17 = r + 5*w. Let u be (-1 - 3\/r)*0. Solve 2*m - 1 - 5 = u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -10. Let y be i\/(-7) - 2524\/(-14). Let w be (8\/y)\/((-2)\/(-10)). Which is the third biggest value? (a) 1 (b) -4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 9*d**2 + 2*d - 13. Let h be u(9). Suppose -6*n - h*c + 20 = -3*n, -65 = -3*n + 4*c. Calculate the highest common factor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2, 3\/8, 0.4, -1\/89, -2\/13, 20\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 384.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*o - 73, 4*t + 6*o - 28 = 2*o. Let l be ((-9)\/(-2))\/(t\/(-32)). Which is smaller: -10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 858702*h + 44657912.\nAnswer: -2*(h - 52)*(h + 429403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 31*p = -6194. Let y = 564 + p. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 21 + 20. Is l > 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (1 - 2) + -66 + (-250 - -320).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.4, 4\/3 in descending order.\nAnswer: 4\/3, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(5\/3)*m*m\/m**(-3\/8))\/((m*m**(2\/17))\/(m**(2\/3)*m*m)))**(-14))**(-1\/14) assuming m is positive.\nAnswer: m**(2281\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 44. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661491662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*j**4 + 4*j - 14 wrt j?\nAnswer: 2328*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1)*h)**(-4\/3)*h*h\/h**(-7)*h*h\/(h**(2\/9)*h*h*h) assuming h is positive.\nAnswer: h**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 + 146 + 542*d - 109*d)*(-2*d + 2*d - 2*d).\nAnswer: -866*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15593*k*o*y + 1548*k + 104*o**2*y + 1753*y wrt o?\nAnswer: -15593*k*y + 208*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157752 and 40128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694 - 718 = 4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -817 + 386. Let p = v - -434. What is the nearest to -2\/11 in p, 0, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.8 and -225.6105097?\nAnswer: 191.8105097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 + 2 - (-2 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2477135.519 - 2475933. Let a = -1202 + o. Let q = a - 0.4979. What is q rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063473 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 6*c + 7. Let o be 27\/21 - 6\/21. Suppose -m + 5 = o. Suppose -23 = -m*q + 1. What is d(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 139935.63544 and -3065?\nAnswer: 143000.63544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3 - (4 - 1)) + -9 + 12. Factor 0 - 3\/2*r**5 - 3*r**2 + w*r**3 + 3\/2*r + 3*r**4.\nAnswer: -3*r*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.8 - 7.9. Let w = 0 + -4. Put w, i, 1\/4 in increasing order.\nAnswer: w, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/60 - 5*a**4\/24 + a**3\/6 - 59*a**2. Determine y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2407 and 1334.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from avvcavaovovvaoa.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 16576600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 103?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 275 = 3*o + 266, -2*x - 3 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29312 and 20704.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7825 divided by -5.\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*t**3 - 10*t**3 + 72*t**2 + 351*t + 486 + 18*t**3 + 12*t**3 = 0. What is t?\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjzzjjjjjjzjjjj. Give prob of picking 2 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - -2 - (-315)\/(-66) and 37\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.6488 to one decimal place.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 12 = 8*c. Solve -3*h = -0*h + 5*y - 8, c*h - 4*y = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let c be 3597\/45 + (-16)\/(-240). Suppose z = j - r + 22, -4*j = 2*r - 4*r + c. Is -18 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1214.7?\nAnswer: 1214.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + -7 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76941.58mg?\nAnswer: 0.07694158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = 2*o - 2, 0 = -5*i - 4*o + 23. Let k be (20\/6)\/(1\/(-2)). Let l = i + k. Which is the nearest to l? (a) -3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 3 + 4*k + 2*k. Let j be q(2). Put -0.2, j, -3\/4 in descending order.\nAnswer: -0.2, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 8, h: 1, m: 4, a: 3, l: 2}. What is prob of sequence lmz?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/441 - s**6\/315 + s**5\/70 + 5*s**4\/126 + 2*s**3\/63 - 26*s. Factor x(m).\nAnswer: -2*m*(m - 2)*(m + 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728207240?\nAnswer: 2, 5, 17, 71, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156575382 divided by 3.\nAnswer: -52191794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from wwwqwwwwwqwqwwwwww.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003707534 rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-283692)\/(-424424) - (-2)\/7. Let c = k + 2\/4823. Find the common denominator of -83\/14 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 8*h**2 - 66*h**3 + 66*h**3 + (0*h + h + h)*(4*h**3 - h**3 - h**3) + 0*h**4 - 11*h**4 - 2*h**4.\nAnswer: -5*h**4 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-2)*28\/(-77). Suppose 0 = 3*q + n*q + 75. Let a be 6\/q*(-1)\/((-3)\/(-30)). Solve 5*o + k - 14 = 0, -1 - 13 = -a*o + 2*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 834.1 + -834.14183. Round k to three decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfsnnesoffn. Give prob of sequence soe.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 12*g**2 - 16*g + 48.\nAnswer: 4*(g - 3)*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**4\/6 - 23*m**3\/6 + 9*m**2\/2 - 13*m\/6 + 1\/3.\nAnswer: (m - 1)**3*(7*m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1089 + -1047. Suppose 0*k + 3*i = 2*k - 36, k - 4*i = 28. Calculate the greatest common factor of t and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -27. Suppose 5*j = r*j - 174. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/(-640)*(-2)\/(-4)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from xqqqqqyqxq?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658784 is divided by 50569.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from ddttgldgygtxdlxlt?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3 + 27 + -27. Solve 2*z + o = -z, 2*z + 7 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 10, 5, -6 in increasing order.\nAnswer: -6, -2, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 2. Let a(w) = -3*w + 6. What is a(k(c))?\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -69474*t**2 + 2. Let q(u) = 914*u. Give q(o(a)).\nAnswer: -63499236*a**2 + 1828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54478 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t**5 + 16*t**5 + 11*t**5)*((-2 + 0 + 3)*(-1 + 1 - 2) + 3 + 2 - 2 + 3 - 3 - 1 + (0 + 2 - 3)*(4 - 2 + 1) + (-5 + 0 + 3)*(-4 + 3 + 0)).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3*((-16)\/(-30))\/(-4))\/(572\/(-7150))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-797 - 76 - 670)*(z**3 - 4*z**3 + 2*z**3) to the form i*z**2 + p*z**3 + l + v*z and give p.\nAnswer: 1543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34759, -62535, -90285, -117997, -145659?\nAnswer: -173259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnxxxnmznlmmlmznn. What is prob of picking 2 z and 1 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*y - 6*y + 95154, 2*y - 95174 = i. What is the highest common divisor of y and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0056 + 758.0056. Let r = 788.3 - g. Let c = r - 30.3137. What is c rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:40 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71 - 67) + 1 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*g - 43*g**2 + 41*g**2 - 100*g + 325615*g**3.\nAnswer: 325615*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -0*f. Suppose 0 = -z - f*z + 20. Solve z*x - 19 = -4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w - 1. Let g(i) = -4*i**3 + 7*i**2 - i - 9. Let p(f) = g(f) + 3*m(f). Factor p(r).\nAnswer: -(r - 6)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from hhhheiihheeieooehoi.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/95 + (12\/8)\/((-28)\/(-56)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 3*o. What is the greatest common divisor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/u*u)\/u**(4\/17))\/(u\/(u\/u**(2\/9))*u\/(u**5*u)) assuming u is positive.\nAnswer: u**(-70\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*y + 11 = 0, -5*q + 28 = 3*y - 6. Suppose q*w + 0*w = 0. Suppose w = -5*n + 33 + 7. Calculate the greatest common divisor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 743 + 532 = -220*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 13177?\nAnswer: -13171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 + 14*w + 8. Let b(j) = 3*j**2 - 5*j - 3. Suppose 53 = 5*m + 20*y - 19*y, -2*y = 2*m - 18. Calculate m*b(o) + 4*t(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) + 2 + -3 + sqrt(99)))) + sqrt(99) + 5 + 1*sqrt(99))**2.\nAnswer: 120*sqrt(11) + 2491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/6 - (-2)\/(-6). Suppose 2*s - v - 7 = 0. Let d(m) = m**2 - 5*m + 3. What is the units digit of d(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 120 = 0. Let t = 24 - 36. Let w = t + z. Solve -17 = 3*l + 4*m, -4*l - m - 2*m = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 - -36034.\nAnswer: 35954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 80. What is the remainder when 23\/k*192\/(3 - -5) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let t be 0 + (0 - -2 - v). Suppose -15 = -5*l, t = -6*z + z - 5*l + 250015. Round z to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/22)\/((-3)\/(-1646)). Let h = l - 9047\/11. Sort h, 0.4, 5.\nAnswer: 0.4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*1 + sqrt(160))\/sqrt(8) - (4 + sqrt(10)\/sqrt(2) + sqrt(5) + (sqrt(605) + sqrt(605) + 0 + sqrt(605) - sqrt(605) - sqrt(605))))**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.0468223038.\nAnswer: 0.2468223038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + s = 29, m = 2*s - 31 + 22. Let u = -0.54 - -0.44. What is the closest to m in u, 2, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/16 + 689*i**3\/4 - 1424163*i**2\/8 + 327082769*i\/4 + 5401. Suppose f(y) = 0. What is y?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -609293 + -7?\nAnswer: -60929a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1388*z + 98555. What is n(-71)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8d27d (base 16) to base 11\nAnswer: -365432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1151*k**2 + 988*k + 22579552?\nAnswer: 2302*k + 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.78 - 1.5. Let y = -1.38 + a. Round y to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 20*f + 12*f = -3040. Is 100 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19572 and 588.\nAnswer: 137004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96217 is divided by 553?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 286279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o + 27*o - 3 + 2 + 2.\nAnswer: -84*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**7*y*y))\/(y**9*y)*y**(2\/3)*y*y*y**5*((y**(-3\/5)\/y)\/y**(-1\/9))**44 assuming y is positive.\nAnswer: y**(-3413\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - i. Suppose -3*v + 12 = 9*v. Let u(l) = -42*l**2 + 2*l. Let m(j) = v*u(j) + 2*o(j). Let a(h) = 2*h. Determine a(m(y)).\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 0 + 85 + 1 + 1 + -26\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let q be 2 + 1 + (-2)\/(-2). Let o = q - 3. What is the smallest value in b, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/102*(0 - (1 + 1))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/2 + 757*j\/2 - 4836 = 0. Calculate j.\nAnswer: 13, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/4))\/q**(-1\/7))\/(q\/(q\/(q\/q**(-3\/5)))*q*q**3)*((q*q**4*q*q)\/q**1)\/(q**3*(q\/(q**(3\/2)*q*q))\/q) assuming q is positive.\nAnswer: q**(181\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18533.71 - 846480.71. Let a = -827823.0118 - t. Let z = -124 + a. Round z to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = -3*a + 2*a, -a - 5*y = -28. Suppose 3*m = a*d - 26 - 163, 4*m + 126 = 2*d. Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/12)\/(x\/(x\/(x**(3\/7)\/x*x))))\/(x**(1\/10)*x*((x\/(x*x**3*x))\/x)\/x)*(x**(-1\/7)\/((x*x**(-7)*x)\/x))**(-37) assuming x is positive.\nAnswer: x**(-89107\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrk when three letters picked without replacement from {r: 2, k: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b - 144*b + 48395 + 42315 = 0. Are 394 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**4 + 4934*r**3 - 2*r**2 - 13 + 2*r - 4934*r**3 + (2*r**2 - 3 + 3)*(3*r**2 + r**2 - 17*r**2) to t*r + c + i*r**2 + m*r**4 + j*r**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18415540?\nAnswer: 2, 5, 11, 13, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239908830.\nAnswer: 2, 3, 5, 7, 1142423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 9. Determine x(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**4 - 592*v**3 = 0.\nAnswer: 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 + v**4\/8 - v**3\/3 - v**2 + 4*v. Let c(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15203 (base 6) in base 15?\nAnswer: ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/10743054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86791 + 74*u + 173576 - u**3 - 74*u - 86785.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 113. Calculate p(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 936773379 to the power of 1\/2, to the nearest integer?\nAnswer: 30607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 25*a**2 - 527*a + 11. What is u(21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (23 - 13 - -5) + 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -5 (c) -4469 (d) -1\/2 (e) 184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o + 6. Let a be w(1). Is 156\/a*(-2)\/(12\/(-105)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 6*d - 4 + 4 + 2*d - 2 + 2 + d + (3 + 3 - 5)*(-d + 2*d + d) - 3*d + 13 - 13.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2872064067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3 + 1 + 0. Suppose y*a + 96 = 3*w + 2*a, 5*a - 96 = -3*w. What is the remainder when w is divided by (34\/(-6))\/((-4)\/12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.74255l in millilitres?\nAnswer: 89742.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0174828704 to five dps.\nAnswer: 0.01748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 + -0.7. Let d be (4\/6)\/(70\/(-525)). Which is the third smallest value? (a) d (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 + 180*k**2 - 2160*k + 8640 = 0. Calculate k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = n - 277, 2*n = r - 6*r - 679. Let y = r - -55. Let w be (1*(-2 - y))\/1. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1616 divided by -30427.\nAnswer: 1616\/30427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -19\/3*b**3 - 10 + 0*b**2 + 0*b + 7*b**4. Find the third derivative of v(m) wrt m.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 = -y, 4*p + 35 + 1 = -2*y. Let l = 16 + y. Solve l*j + 4*r = 2*r + 2, -j = -4*r - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-3 - 2*u + 3).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 563860307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4570, 18293, 41168, 73201, 114398, 164765?\n\"Answer: c**3 + 4570*c**2 + 6*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-26)\/624*3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -216, -0.1, -4 in descending order.\nAnswer: 4, -0.1, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 11*a**2 - 42*a + 7. Let v be c(-14). Let x be 28\/v - (5 - 4). Solve 4*g - 11 = -x*k, -5*k + k - 3*g = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/3*(-3 - 1). Let a be (-1)\/1*(u + -1). Let x be 66\/15 + (-2)\/a. Solve 4*p - 4 = m + 10, 20 = 4*p - x*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 3. Let t(q) = q**2 - 4*q - 4. Let i be t(4). Let r be m(i). Let u = 8 - r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:26 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19153 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100\/3 - 234\/7. Let p = -39 - -31.9. Let r = p + 6.9. What is the smallest value in r, -37, z, -1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57090636 by 3.\nAnswer: -19030212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from eeateeeee?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11430 or 11429?\nAnswer: 11430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5252, -1 in increasing order.\nAnswer: -1, 3, 5252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:28 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1 = -u, 4*j - u - 4 + 67 = -4*u + 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m - 11, 5*m = -0*m. Let n(g) = -g**2 + 11*g + 5. Let k be n(x). Suppose -k*w - l = 15, -4 = w - 4*w + 2*l. Is -2 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 < -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 8*s + 16. Calculate the remainder when a(7) is divided by (-1 + 13)*(-3)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1780638505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/65 in -17, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*-2 - -3. What is the lowest common multiple of f + (-9)\/((-2)\/2) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 4:51 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 605539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.65489707 take away 2?\nAnswer: -42.65489707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 31*s + 80. Let h be s\/40 - 14404\/(-10). Suppose -11*z + h + 958 = 0. What are the prime factors of z?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:50 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*o - 8 = 0, 3*o - 6 = -3. Suppose 4*a = -g + u*g + 6, 3*a - g - 2 = 0. Let y be -1 - -1*(a + 2). Solve -h = -6*x + x - y, 0 = -x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35690 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 x(b) = b**3 + 18*b**2 + 18*b - 26. What is x(-17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:04 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g**3 + 9*g**3 + 0*g**3)*(-2 + 0 + 1) + 7*g - g**3 - 3*g**3 + 3*g**3 to the form z*g**3 + t*g + n + s*g**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 773.1544 rounded to one decimal place?\nAnswer: 773.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:15 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -52250?\nAnswer: 52250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/15)\/((-33)\/15 - -3) - 2. Let b be (-58)\/(-18) - (-1 + 4). What is the nearest to h in 0.2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3432*t - 164730. What is b(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 155702627521 from 0.06.\nAnswer: -155702627520.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-6 + 0 + -1). Let v = -4 + n. Let p be (-3)\/v*8\/12. Let b(w) = -6*w**3 - w**2 + w + 1. What is b(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 1310, 1407, 1594, 1901, 2358, 2995?\nAnswer: 3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 - 6*y - 5. Let i be x(-4). Suppose i = -0*j + 3*j. Suppose -112 = -3*l - 91. Calculate the greatest common divisor of j and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 30 + 54 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 36, 90, 170, 276, 408?\n\"Answer: 13*l**2 - 11*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7560057 millennia?\nAnswer: 756.0057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4) + (-240)\/(-64))\/(13\/(-26)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00265647126 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3809 + 3?\nAnswer: 6.3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*w**5 - 7*w + 12 wrt w?\nAnswer: -4480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -75*g - 20. Let j(t) = 226*t + 61. Let w(x) = 17*d(x) + 6*j(x). Let k(p) = p**3 - 25*p**2 - 8*p + 207. Let r be k(25). Is w(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 72 = 0. Let j be (1 + (-2)\/(-6))*-3. Let u be 2\/j + 7\/h. Which is the smallest value? (a) u (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106085 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) 2\/5 (c) -10.08 (d) 0.15 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 284?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 0, -384 = 94*k - 95*k - 4*j. What is the remainder when 783 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1160 + 19718\/17. Let l = -0.2 + 0.7. Sort 3, l, r, -0.2 in descending order.\nAnswer: 3, l, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 270999.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 9. Suppose 4*l - 506 = s*x + 536, -l - 2*x + 266 = 0. List the prime factors of l.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 + n**5\/60 + n**4\/24 + 13*n**3\/6 + 36*n**2. Let f(x) = 2*x - 14. Let s be f(7). Calculate i(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2098 and -9731.4.\nAnswer: -2041.64772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:40 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 = -11*r + 1133. Suppose -33 - 87 = -15*b. What is the lowest common multiple of b and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166683800 rounded to the nearest one million?\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 3*m = -15*i + 1134, -5*i + 2*m + 1883 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d + 92. Give t(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 9. Let t(w) = w. Let l(j) = 5*t(j) + x(j). Calculate l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-19399.876\nAnswer: 19399.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2424245 to three dps.\nAnswer: 1.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cddp when four letters picked without replacement from ccpccdccccpccpc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-90))\/((-36)\/105)*-3.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 687*i**5\/20 - 241*i**3\/2 - i - 35. Find the second derivative of b(s) wrt s.\nAnswer: 4122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 11*((-4)\/(-2))\/(-15 - -16).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)**46)**(-4)*(p*p**0*p)**(-16)\/((p*p**6)\/p**(-2\/9)) assuming p is positive.\nAnswer: p**(2407\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10329 = 30*n. Let m = 574 - n. What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120dd (base 15) in base 6?\nAnswer: -1122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*q**4 - 5430*q**3 - 57195*q**2 + 63390*q - 1104 = 0.\nAnswer: -8, 2\/113, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*d + 0)*(d + 2*d - d) + (0*d**2 - 7*d**2 + 0*d**2)*(-2 + 5 - 5 + 0 + 5 - 1 + (4 - 5 + 3)*(-2 - 3 + 2)) in the form c*d + t + j*d**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 34. Let w = n + -12. Solve w = 3*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*u - 3*u = -3, 5*v - 5*u = 35. Does 27 divide v\/3*(61 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 817\/7 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20448, -28383, -36304, -44205, -52080?\n\"Answer: x**3 + x**2 - 7945*x - 12505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16459475.4us?\nAnswer: 0.0001905031875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(35)\/sqrt(5))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13\/5, -0.1, -2 in descending order.\nAnswer: -0.1, -2, -13\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -712\/5 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00739144342 rounded to four decimal places?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) -39 (d) 0.4 (e) 0 (f) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 - 7*g + 3. Let t be h(-7). Suppose 4*i - i = t. Solve 2*j - j - i = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.9 + 12.9. Let l = x - -19. Let s = 33.5 + l. What is the smallest value in -2, s, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 149 = 5*j - 555, 5*r - 2*j = 1163. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/((-28)\/(-12) + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(143)*1)\/((2*sqrt(55) + sqrt(55))\/sqrt(5)) - (sqrt(117) + 2 + -2 + -2))**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 21 - 3 = 0. Suppose -4*z - w = 5, 2*o + 5*z = -16. Let r(t) = t**2 - t - 1. Let d(h) = -3*h - 4. Calculate o*r(n) + d(n).\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*s + 3*q**3 - 732*q**2 + 3*q - 222425*s**3 + 1 wrt s.\nAnswer: -2*q**3 - 667275*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 6. What is v(17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/8 - -27\/8. Find the common denominator of g and -67\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*s + 2*x, -2*x + 1 + 1 = 0. Let d be 0 + 1 + 3*s\/(-6). Suppose 4*f - 4*q - 758 = 1086, d*q + 8 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -273*j**4\/4 + 10*j**3 + j**2 + 157. Find the third derivative of f(m) wrt m.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 = 5807*o - 5814*o. What is the remainder when 585 is divided by o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:07 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 1. Let x(b) = -b**2 - 2*b - 40. Give -2*c(j) + x(j).\nAnswer: -j**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31468, -30877, -30286, -29695?\n\"Answer: 591*n - 32059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -116. Put 3, y, 1, -3 in decreasing order.\nAnswer: y, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errrrrerrererrer. What is prob of picking 1 e and 3 r?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/120 - 11*x**5\/60 + x**4\/12 + 11*x**3\/6 - 2*x**2 + 300*x. Give i(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -4, 3 in ascending order.\nAnswer: -4, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.1 and -445323.\nAnswer: -4497762.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 20104 - 5790. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/10 - 0)*(-30)\/4. Which is the closest to 3? (a) 2\/9 (b) x (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Suppose 4*b - 265 = l, -3*l - 424 - 316 = -b. Let q = l + 4164\/17. What is the nearest to q in i, -1\/9, 1\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 16 = 2*h + 5*k, -4*h = 4*k - 32. Let r = -18 + 25. Suppose 5*l + 47 = 4*v + r, -40 = -h*v + 3*l. What is the smallest common multiple of 4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1) + -11 - (1384 - 1401). Solve 0 = -x + 5, 64*b - w*x = 69*b - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*r - 13, -22 + 23 = j + 3*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(-2\/7)*i*((i**(4\/7)\/i)\/i)\/i)**(-5\/17) assuming i is positive.\nAnswer: i**(-45\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 3. Let m be t(-3). Let w be m\/(-33) + (-130)\/(-11). Suppose 2*z - 16 = -2*z. What is the highest common factor of z and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x. Let v(j) = j**2 + 1. Let b(q) = -18*q**2 - 7. Let f(y) = 2*b(y) + 14*v(y). Give m(f(c)).\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 54*w**2 - 1043*w - 247. Determine l(69).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 65*a**2 - 37*a + 48. List the prime factors of s(-33).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-2))\/((-2)\/(-4)). Let l(h) = 110*h + 45. Let j(x) = 219*x + 87. Let f(t) = b*l(t) + 2*j(t). Find the first derivative of f(n) wrt n.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -x + 715. Suppose 69*r - 12 = x*r. Suppose 7 = r*b + 5*w, 2*b + 0*b = -3*w + 6. Solve -b*p = -12*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n - 1. Suppose -3*f = f + 8. Let v be x(f). Solve 5*l + 20 = -2*b, -5*b = 5*l - l + v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 328209\nAnswer: -1\/109403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 3 - 3 + 1 + (-4 - 11 + 5)*(-2*m + 4*m - 4*m).\nAnswer: 18*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/4059*-41*-1*2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 69 = 3*h, 35 = -0*h + h - 4*y. Calculate the highest common factor of h and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*b**2 - 353*b + 964*b - 611*b.\nAnswer: -423*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15781691\/42 + 375757. Find the common denominator of y and 2\/8 + 2\/(-120).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37a + -b5?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.09, 4, 0.5, -3\/2 in ascending order.\nAnswer: -2, -3\/2, 0.09, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 4 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -31*d + 8. Let n be j(-6). Let y = -5213\/27 + n. Let c = -162 - -4859\/30. Find the common denominator of c and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.72603 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = j, 2*s - 301 + 295 = -2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*v + 325 - 1688 - 1354 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t = -26*t + h + 10, 4*t - 4*h = 28 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6100440 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.1, 4\/7, 3\/8558 in decreasing order.\nAnswer: 4\/7, 0.1, 3\/8558, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11333114 (base 6) to base 12\nAnswer: -15119a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (1 - 3) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8943, -9174, -9401, -9624, -9843?\nAnswer: -10058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqo when three letters picked without replacement from jgqgqdjqqoqqdojqq.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 8*v**4 + 10*v**3 + 4*v**2.\nAnswer: 2*v**2*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9316.283548246+-2\nAnswer: 9314.283548246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/5 + 18*r**4\/5 - 48*r**3\/5 + 32*r**2\/5.\nAnswer: -2*r**2*(r - 4)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 - 6428*s\/9 - 10329796\/9.\nAnswer: -(s + 3214)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5))\/h)**(18\/5)*h**(-7\/4)\/(h*h**(-3)) assuming h is positive.\nAnswer: h**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(27\/(-160)*240\/(-180))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 933868818 + -5.\nAnswer: 933868813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 5*k + 6. Let v be r(-2). Suppose -2220 + 480 = v*x. Let b = x - -287\/2. What is the second biggest value in 5, -6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (-2 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 2*k + 24)*(3*k - 4*k - 2*k).\nAnswer: 6*k**2 - 72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - q + 5*q + 97*q**2.\nAnswer: 97*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-d - 2*d + 5*d) + 0*d - 3*d - d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f + 12. Let b be g(8). Suppose 0 = -44*l + 740 + 52. Calculate the greatest common factor of b and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716146344 divided by -1746?\nAnswer: -410164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253394 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/8)\/(p*p**(2\/33)))**(-2) assuming p is positive.\nAnswer: p**(379\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:21 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 10*h + 49. Let j = -51 - h. Let s be (0 + j)\/((-15)\/105). Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/128167 and -58\/7.\nAnswer: 897169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 10 + 6 + 208 = 70*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 121.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1475 and 631949.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4936*i**3 + 2458*i**3 + 2477*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 12 + 4 + 36*a)*(367590*a + 2657*a**3 - 367590*a) as b*a**2 + k*a**4 + m*a + s*a**3 + q and give k.\nAnswer: 95652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7992769.\nAnswer: 61, 283, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2696 and -47\/320?\nAnswer: 107840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k + 4. Let l be f(4). Let t = 7 - l. What is the derivative of 3*q**t - q**4 - 3 - 3*q**3 wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 - 4*l + 4. Let k = -68 + 72. Let s(r) = -9*r**2 + 5*r - 5. Determine k*s(c) + 5*o(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/9 + 470*i**2\/9 + 7136*i\/9 + 9344\/3 = 0.\nAnswer: -219, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 6*s = -342. Let v = s + 71. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n + 97. Calculate b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16922 by -530.\nAnswer: -8461\/265","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.03, -23975, -29?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z. Let a be (-3)\/((-6)\/4) - z. Let n be 2\/(-7)*3\/(-6). What is the second biggest value in a, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36))\/(11\/(-88))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -10*x - 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*1)\/(-3 + 14). Suppose 0 = 3*t - 2*t - 1. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(6*g - 3*g - 5*g) + g + 7*g - 4*g + (2*g + g - 4*g)*(3 + 1 - 3).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 + 4*f**3\/3 + 2*f**2 - 7*f. Suppose v(t) = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -461*w**2 + 2060*w - 4132762 wrt w?\nAnswer: -922*w + 2060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.47514 bigger than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:03 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.88 + -0.12. What is the second biggest value in h, -4, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/((-2)\/(-54)). What is the derivative of 1 + 1 + m + 3*g wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578550 is divided by 116?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 99.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10188807 is divided by 1703?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*f - 317*f + 1224 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1 - 11, -k = 3*b - 95. Let l = k - 55. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((21\/(-35))\/(4\/30)). Suppose z - 8\/9*l + 2\/9*l**2 = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-6))\/((-2)\/12). Suppose -352*g = -59*g + 185*g - 15296. What is the highest common divisor of z and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 19*f + 5 = 16*f - 30*f, -20*g + 0*f + 4 - 6 = -2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19019*-146\nAnswer: 2776774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**3 + 16*j**2 + 3*j + 19. Let w(d) = -5*d**3 + 8*d**2 + 2*d + 9. Let v(a) = 6*n(a) - 13*w(a). List the prime factors of v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 - 2*h + 2. Let s(r) = -3*r - 4*r + 17*r**2 + 11 - 4*r - 52*r**2. Calculate -11*p(u) + 2*s(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895134368.\nAnswer: 2, 27972949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27657 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 924 = -5*m. Find the common denominator of -49\/11 and 2\/(m\/89 + 3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1800 - 1805. Put 0.1, t, -17, 5 in descending order.\nAnswer: 5, 0.1, t, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3750907, -7501783, -11252659, -15003535?\n\"Answer: -3750876*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.59 * -17232.\nAnswer: 27398.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/18 + (-16 - (-462)\/54). Let k(x) = -7*x - 4. Let r(a) = 13*a + 9. Determine h*k(s) - 3*r(s).\nAnswer: 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139768 divided by 5836?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-3)\/4). Suppose -4*f + 24 = -2*l, 3*f - l - 4 = 15. Suppose -f*o + 190 = -j*o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -905 (base 11) in base 13?\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96067 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/((-60)\/(-16)))\/(-9 - (-4)\/12))\/2.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*p - 2254 = 0, -12*p + 15*p - 2257 = -2*j. What are the prime factors of j?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from udfdndnad.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -328449 divided by 3?\nAnswer: -109483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = a, -5 = -5*a - 0*a. Suppose 1540 = -0*t + 4*t. Suppose 0 = -k*y + 8*y - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3 - 4*x**2 + 3. Let b(c) = -c**2 - 29*c + 212. Let z be b(-35). Let s(d) = 25*d**z + d**2 - 28*d**2. What is s(p(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 408717143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**3 - 6*g**2 + 21*g - 92. Let m(y) = 10*y**3 + 5*y**2 - 22*y + 79. Give -6*a(r) - 7*m(r).\nAnswer: -4*r**3 + r**2 + 28*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-15)*(-8)\/(-24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(104) + sqrt(104) + (sqrt(104) - 3*sqrt(104)*3))*-6)\/(sqrt(40)\/(sqrt(80)\/sqrt(4) + sqrt(20))))**2.\nAnswer: -1078272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17711 and -1698.\nAnswer: 30073278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a. Let t(o) = -7*o**3 - o**2 + o. Suppose 3*k = 6, 5*k = -5*n + 3*k + 9. Determine n*t(d) + c(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 43*p - 18. List the prime factors of q(7).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 36*f - 44. Let z(o) = -38*o + 49. What is 6*s(m) + 5*z(m)?\nAnswer: 26*m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u + 2. Which is the second smallest value? (a) 0.1 (b) -1\/10 (c) -2\/9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168473 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 692448\/11 > 62949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19641806*a**4 - 3462102*a**2 wrt a?\nAnswer: 471403344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52143539.7 rounded to the nearest ten thousand?\nAnswer: 52140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8349 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 >= -715857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 85*y + 443. Give p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 9:57 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*z + 4*p = 1471*z + 11, 14*p = 2*z + 28 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 19891*w - 258559. Determine z(-13).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14623003*a**2 + 190818*a + 59 wrt a?\nAnswer: 29246006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.997 + 0.003. Let h = -21 + r. Let w = h + -20. Which is the biggest value? (a) 5 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131456 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (1 + -1)) + (-31 - -38). Solve -316*a = -314*a - q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -488 (b) 6\/19 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1348.99998985 + 1349. What is s rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16bd + -36?\nAnswer: -16f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 23*l - 2. What is the units digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26*0.017\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -153, -218, -303, -414, -557?\n\"Answer: -h**3 - h**2 - 41*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259*r**2 - r + 182?\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336652 or 338463?\nAnswer: 336652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00736615 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63\/17 - 143\/34. What is the nearest to f in -1\/2, 0.6, 2\/5, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 52716*l - 52705. Give w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 10*r**2 - 6*r - 10. Let k(c) = -2*c**3 + 7*c**2 - 4*c - 7. Give 7*k(w) - 5*n(w).\nAnswer: w**3 - w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 23*g**2 - 3*g - 9*g + 27*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*f*u**4 - f*u**2 + 140*f wrt u?\nAnswer: 4512*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*j = 7*j + 24, -105 = -3*b - 5*j. What is the least common multiple of b and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -0.1, 21?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11277 and 2685.\nAnswer: 56385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1\/(-4)*-2). Suppose 4 = 14*a - 12*a. Factor -i**5 - 5*i**3 + 3*i + 1 + 4*i**a - 3*i**4 + 3*i**3 - 2*i**w.\nAnswer: -(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 170*n - 3572.\nAnswer: -2*(n - 47)*(n - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (369\/(-27))\/(2\/6). Let c = -36 - v. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.2 - -5.2. Let f = s - -27.1. Let x = f + 9. Are -6\/5 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1718*d**2 + 2266039*d - 3946. Determine x(-1319).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)\/u)**(-6))**(2\/7) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15272 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:40 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 25. Is (0 + m)*385\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*m - 11813 = 0, 11*t + 11812 = 14*t + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-225)\/30)\/15*0*(-1)\/(-3). Solve f = -i + 3*y - 17, 18*i + 15 = 19*i + 5*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1977780 + 11\nAnswer: -1977769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -834 - -68?\nAnswer: -7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -41?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 5 = 0. Suppose 0 = 5*n + 5*o + 15, 4*o - o = j*n - 25. Differentiate n + 2 + p**4 + 1 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahd when three letters picked without replacement from aaaaaaahdaaaa.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -6. Let s(t) be the second derivative of -t**3\/6 - t**2\/2 + 2*t. Give s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 908 - 823. What is the greatest common divisor of 187 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23163791447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 s when three letters picked without replacement from msdqrsdl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + -2 + -3. Let q(h) = -h + 13. Let d(g) = -6. Let c(f) = w*d(f) - 2*q(f). What is the derivative of c(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -0.035, -2, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let f be a\/3*(-3)\/(-2). What is the units digit of f\/(((-6)\/27)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*a + 3 = -11, -3*j + 11 = 2*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 199.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-8)*(-42)\/(-224).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 15*g**2 + g - 14. What is the lowest common multiple of 18 and q(12)?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021752016 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2. Let q(r) = 44*r. What is p(q(c))?\nAnswer: 3872*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6323, 6299, 6273, 6245, 6215, 6183?\n\"Answer: -d**2 - 21*d + 6345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -10, -40, -104, -214, -382, -620, -940?\n\"Answer: -2*r**3 + r**2 + 3*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111977 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: Let c(y) = y. Suppose -3*l + 2 = -l. Let j(z) be the second derivative of -5*z**4\/12 + z**3\/2 + z**2\/2 + 1277*z. What is l*j(i) - 3*c(i)?\nAnswer: -5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41698 = 9*o + 36982. What is the remainder when o is divided by 102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = -211*k + 1631 + 261 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12122*0.3.\nAnswer: -3636.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 7, z: 1, t: 1}. Give prob of picking 2 r and 1 q.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*f + 991 + 1068 - 142 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 3020 = 108*w. Solve 104*t = 100*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -800.51299608 + 1.2.\nAnswer: -799.31299608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 1.1. Let i = 0.7 - 1.2. Which is the closest to -0.1? (a) i (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2575336950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73766200.\nAnswer: 2, 5, 271, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 - -0.72. Let u = 0.2 - c. Which is greater: -1\/4 or u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782 divided by 92104?\nAnswer: 891\/46052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 41*q**3\/3 - 3*q**2\/2 + q. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v - 29*v**3 + v**2 + v + 5*v - 2 - 4*v**4 + 6*v**4 as m*v**2 + f*v**3 + s + z*v**4 + y*v and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/n)\/n*n)**37*n**(-2\/3)\/(n\/n**(-19)*n*n) assuming n is positive.\nAnswer: n**(-734\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -153. Suppose 0 = -p + 1, 2*p + 31 = 6*q - 3*q. Let r = q - j. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 + 0*m**2 + 5*m**2)*(11*m + 11*m + 5*m) in the form q*m**3 + l*m**2 + k + n*m and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 14*x + 5. Let p be q(-13). Let b(h) = -35*h**3 - 5*h**2 - 3*h - 8. Let o be b(4). What is the units digit of p\/(-20) + o\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5229202, -5229194, -5229184, -5229172, -5229158?\n\"Answer: g**2 + 5*g - 5229208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15056)\/((4\/(-14))\/((-3)\/7)). Let z = 8044 + f. What is z rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18\/143 - -92\/3003. Which is the second biggest value? (a) 2 (b) -59 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = 3*w - 4*w. Suppose -m = -353 - w. What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (250\/(-5) - -3). Let g = j - -61. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -161 + 50 + -23 + 20?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 6*j + 2. Let x be n(5). Let r = 12 - x. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 3*j + 6. Let v be p(-5). What is the units digit of (v\/10)\/((-12)\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*y + y + 283, 134 = o - 3*y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6644254\/11 at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from {a: 4, j: 3, n: 13}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -0.36?\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 6*s**2 - 4*s + 7. Let p be b(-5). Suppose 0 = -x + 4*i + 266, -5*x + 9*i = 10*i - 1393. Let k = x - 278. Solve k = -p*f + 13 - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 1. Let m be 3*(31 + j)*1\/(-1). Let w be m\/(-5) - (-28)\/(-70). Solve -q = 4*q - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -116\/3, 5 in descending order.\nAnswer: 5, -2, -116\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.431 + 5.431. Sort -0.2, 6, r in ascending order.\nAnswer: r, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - m**2 - m + 1. Let y be ((-5)\/(-5))\/(2\/10). Suppose 0*p - y = -5*p. Let t be s(p). Solve t*h + 10 = -4*n, -h = 2*h - 5*n + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*o - 168*o + 333*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -99c7?\nAnswer: 99c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/6 + 4\/12. Suppose 3*u + 2*c = 2*u - 16, 4*u + 76 = -4*c. Let n = t - u. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 85 = -5*t - 2*j, 5*t - 55 = 5*j. Suppose 5*f - t - 46 = 0. Let u(s) = f*s**2 - 6*s**2 - s**2 - 2*s**2. Let a(h) = 12*h. What is a(u(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377510957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032 (base 10) in base 8?\nAnswer: -3760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/4*(-5 + 4 + -1). Let t be ((-2)\/((-4)\/5))\/(-2). Let p = -0.2 + 0.7. Which is the third biggest value? (a) t (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2. Let x(u) = 3*u**2 - 2*u**2 - 5*u**2 - 2*u**2. Calculate z(x(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 61*x - 118. Let l be d(2). Suppose -4 = -2*m + 24*p - 21*p, l*m - 28 = -4*p. Solve 0 = 3*n - 3*z + 6, m - 2 = -3*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 z when four letters picked without replacement from {l: 4, k: 3, g: 11, z: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose -51 = -8*p + 5*p. What is the lowest common multiple of p and 24\/30 + 6\/n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*l**3 + 0 - 54*l**3 + 1.\nAnswer: -140*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 487624726 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 75219, -5, -1 in increasing order.\nAnswer: -5, -1, 75219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9*u - 2*z + 1580, 974 = 3*u - 4*z. Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699597 divided by -243\nAnswer: -2879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 18*n - 184. List the prime factors of j(13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 555, 828, 1211, 1704, 2307, 3020?\nAnswer: 3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 1. Suppose z - 10 = -5*s - 5, 4*s = 0. Let n(o) = -20*o + 26. Let r(k) = z*g(k) + n(k). What is the derivative of r(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = 0. Suppose 15 = 4*y - 3*j, -3*j + 6 = -j. Solve q = -0*b + 2*b + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 12*l + 16. Let d be r(-13). Let v(u) = -u**3 + 2*u**2 + 4*u. Determine v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 1 - 8*s - 1.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.67 - 0.23. Let u = c + -0.04. Let t = u - 0. What is the closest to 0.1 in t, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38*-31.7269\nAnswer: 12.056222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (4 - -5)) + -2 + -38 + 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 6*s. Let h(p) = 2*p**2 - 3*p + 3. Let x be h(2). Suppose -7*m = -x*m - 10. Determine d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 8*m - 9*m + 4, -4*m + 16 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 + 3*j - 14. Let g = 86 + -79. What is the units digit of c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-45)*5\/6*0. Factor -2\/5*m**4 + u*m**2 + 0 + 0*m + 0*m**3 - 2\/5*m**5.\nAnswer: -2*m**4*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -69 - (2 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 9:44 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6868803 to two decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57838220957376.0000142 - -57838236287985. Let n = -15330611 + c. Let k = -2 - n. Round k to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 - 4*o. Let t(z) = 20*z**3 + 11*z. Let v(s) = 6*t(s) + 17*u(s). Let g = 50 + -48. Let q(b) = 4*b**3 - 9*b. Calculate g*q(r) - 9*v(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 8. Suppose 0 = x*p - 12 + 4. Suppose s - 17 = p*h, -2*s - 32 = -6*s - 4*h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548470 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/60 - k**4\/6 - k**2. What is the second derivative of t(z) wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000012102100 - -122110?\nAnswer: 2000020001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+492910591\nAnswer: 492910590.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-7) + (-13)\/91 + 4. Let s(h) = -h**3 + 1. Let p(n) = 8*n**2 + 10*n - 1. Let j(m) = p(m) + s(m). What is j(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, -37, -2\/17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a64 + 9?\nAnswer: -23a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6508*m + 29759*m + 17038*m + 4272*m.\nAnswer: 44561*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -15*d + 2*d. Suppose -4*x = -4*m + d, -3*m = -x - 3 + 1. Put 3, -3, x in decreasing order.\nAnswer: 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 3, t: 1, s: 4, c: 4}. What is prob of picking 4 p?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 166 + 3 + -3 - -2. What is the greatest common divisor of 48 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymw. Give prob of sequence ym.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-1 - (-4 + 3)). Suppose 4*x + 11 = -h + u, -x = 3. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, -410804 in descending order.\nAnswer: -9, -10, -410804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -1 + sqrt(171) + sqrt(171) + sqrt(171)*1*2 + 0 + 2 + 1 + sqrt(171) + 2)**2.\nAnswer: 150*sqrt(19) + 4298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79554 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76 - -73)*(-7)\/(-2) - -10)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*v**6 - 66248*v**5 + 39056640*v**2 + 1 wrt v.\nAnswer: 47760*v**3 - 3974880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - b + (27 + 18 - 1)*(4*b - 24 + 24).\nAnswer: 175*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 5. Put i, -4, 2, -2 in descending order.\nAnswer: 2, -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885741?\nAnswer: 3, 295247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zivz when four letters picked without replacement from vaztatzoaozoi?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*o = 5 - 1, -3*o = -t - 4. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 5)*5\/20. Solve -3*g + 5 = n, 7 + x = -2*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - q + 366. Let f(k) = 5*k**2 + k. Give a(p) + f(p).\nAnswer: -p**2 + 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 8*x + 0*x)*(-1 + 1 - 2*x**3)*(-2 - x + 2).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 15*i**2 - 50*i - 71. What is the hundreds digit of t(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 885 + -879. Solve 4 = -5*r + 2*a, -a = -2*r - 4*a + k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -654542.\nAnswer: 130908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 a factor of 26557153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 9 - 13 - (3 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + 158. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102267.\nAnswer: 3, 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -55013147 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18500 and 10730?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 482314*j + 964648. Calculate o(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*-6 - -80. Let l(y) = 41*y + 1613. Let t be l(-25). Calculate the highest common divisor of h and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/35 - l**5\/30 + 8*l**2. Find the third derivative of k(a) wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(sqrt(99) + -2 + sqrt(99)) + -3.\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 0 - -1*3)*313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 - 3*u. Let p be x(1). Solve -r + 6 = -2*n, r + 5*n = 3*r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*m + 18*m + 854 + 392 + 130 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 + 31 = -h. Let c = h + -156. What are the prime factors of c?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 884720 and 5600?\nAnswer: 61930400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691 = 52*z + 562 - 443 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 2\/7 + 375\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-572046)\/(-126) - 4\/84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1315, 4, -4 in increasing order.\nAnswer: -1315, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 95\/4 - 32\/(-128). Suppose 0 = -21*c + j*c - 21837. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, w: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5*(-2*sqrt(125) + -1) - (sqrt(125) + (sqrt(125) - (0 + sqrt(125))*-1))*-3) + -4)*-3)**2.\nAnswer: 15390*sqrt(5) + 3655206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 34. Suppose -q = -i*q + 16. Let p(d) = -40*d. Let v be p(-1). Solve -3*g + 0*g = 5*r + q, -5*g = -5*r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 951*i**7\/35 + i**5\/60 + 1419*i**4\/8 - 4080*i**2. Find the third derivative of c(h) wrt h.\nAnswer: 136944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-4) - (-76)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3015 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*h + 2*h - h) + (-4*h + 2*h + h)*(-1 + 0 + 5).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at least as big as -400\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.228356094 and 27.\nAnswer: 24.771643906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.06 + 0.06. Let n = 2.5 + -11.5. Let i = -7 - n. Which is the closest to -2? (a) i (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/2 + (-3)\/2. Suppose 4 = -f + i*f. Find the first derivative of -2 - a**2 - f + 3*a**2 + 7 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*z + 4371 = -2*z, -5*k - 5*z + 7285 = 0. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 2449933605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -30. Let h = t + 192. What are the prime factors of h?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**2*w)\/w)\/w**1)\/(w**6*w*w*w*w**5))**(-42))**(-8) assuming w is positive.\nAnswer: w**(-4032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435 times 0.11?\nAnswer: 377.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 883 + -885. What is the nearest to 3 in 0.3, v, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 235?\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -65. Let p = 6 - 7. Let w = -439\/290 - -2\/145. Which is the third smallest value? (a) k (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/15 (b) -2\/121 (c) -0.04 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. What is j in -j**3 + 5*j**3 - 2*j**3 - h*j**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3 + m**3 + 3*m**2 - 2 + 0 - 5*m + 2*m. Let x be b(2). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-279)\/18. Solve -2*r = 3*r + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/18 and -131\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116265.4 take away -0.090921069?\nAnswer: -116265.309078931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 781 - 320. Let r = n - 471.3. Is -1\/3 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26158271 to three dps.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 147*w**3 - 2624*w**3 - 275*w - 350*w + 625*w in the form c*w + b + t*w**2 + q*w**3 and give q.\nAnswer: -2477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 2. Let g(l) = -7*l**2 + 10. Let r(y) = -g(y) + 5*o(y). Let d(z) be the first derivative of 38*z**3\/3 - 3. What is d(r(v))?\nAnswer: 342*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/20556 and 7\/90.\nAnswer: 102780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 4, f: 1}. What is prob of picking 1 k and 1 a?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 2, k: 3}. What is prob of picking 1 k and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311216?\nAnswer: 2, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198923?\nAnswer: 67, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.911 + -61.211. Let b = -49 - q. Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12779 and 346047?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 346 = -5*t - 16, 0 = -3*t - 4*d + 190. Let g = 111 - t. Let l = 75 - g. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4326 is divided by 1072?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let m(p) be the first derivative of -p**3\/3 - 12. What is m(w(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615566 is divided by 7074.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*f - 23, -5*f + 3*f + 2 = 0. Let b be 52\/60 + 3\/z*3. What is the biggest value in b, 0.2, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**2 - 1781*j + 178.\nAnswer: (j - 178)*(10*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, -1 in increasing order.\nAnswer: -38, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 60*i + 58*i - 125*i. Let q(h) be the second derivative of -h**3\/3 + h. Calculate t(q(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 107294, 0.5, 59 in increasing order.\nAnswer: 0.5, 59, 107294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701702937*t**6 - 188578303*t**2?\nAnswer: -84204352440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.1434ml in litres?\nAnswer: 0.5691434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1316)\/(-2) - (-2 + 15 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (-3 - (-52)\/16)\/((-4)\/(-160))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3\/((s*s**(-2))\/s)*(s**(5\/6)*s)\/s**(-3\/2) assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2602 (b) -0.2 (c) 0.3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1027 - -5107\/5. What is the biggest value in n, 2\/11, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/6 + 19*p**3\/3 + 2*p**2. Let g be l(15). Let k = 104 - g. Is 1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - (1 + -1 + 4)) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 7*p - 5 + 6. Let o be 6\/4*(-6)\/9. Determine u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 32*t + 111. Determine f(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-3 - 11)) + 33 + 4 + 2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -808 in decreasing order.\nAnswer: -3, -14, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6729.919 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0045 - -0.003. Round p to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(20)\/(sqrt(10)*2) - ((sqrt(2)*-1 + sqrt(2) - sqrt(2)) + 0 + sqrt(2)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(95)\/sqrt(45) - (-2*sqrt(76))\/sqrt(4)).\nAnswer: 5 + 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {w: 2, v: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 8, 4270 in ascending order.\nAnswer: 1, 4, 8, 4270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 17}. What is prob of picking 2 u and 1 f?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**2 - 10*h - 152 = 0. What is h?\nAnswer: -19\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15)\/(384\/240) - (-2 + (-494)\/12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0278797*647.\nAnswer: -18.0381659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15028077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 2*u**2 - u. Let r be g(-2). Calculate the common denominator of 40\/140 - (-487)\/182 and 4\/r*237\/8.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-16)\/(-70))\/(((-27)\/((-675)\/(-10)))\/(-3))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 27*z - 21. Let y be p(-26). Let f be y - (6 - -4)\/(-2). Let n = 19 + -8. Is n smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22282 equal to -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x - 192 = -76*x. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 449 = 30*t + 1651 for t.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tng when three letters picked without replacement from tgnnggtgggtggtgt?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 32 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -4*q + 56, 10*q - 7*q + 35 = -5*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179*z**2 - 375*z**2 + 1075 + 7*z + 3*z - 2*z + 186*z**2 wrt z?\nAnswer: -20*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 519.3491 tonnes?\nAnswer: 519349100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpfpffff. Give prob of sequence pfff.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110 (base 2) to base 12.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 23, 9, -11, -37?\n\"Answer: -3*c**2 + c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 73. Solve -5*j + t = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*w - 2058 = 0, 0 = -5*o - 0*o - 5*w + 2060. Differentiate 841*s**3 - 273*s**3 - o*s**3 + 126 with respect to s.\nAnswer: 474*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 93*k - 9. Let w(l) = -78*l + 8. Let x(q) = -6*d(q) - 7*w(q). Let c(m) = 25*m + 5. Determine -4*c(r) - 9*x(r).\nAnswer: 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 421098552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3374 + -1404. Suppose 5*s - 2*i = c, -21*i + 1945 = 5*s - 18*i. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(7)*-3 + sqrt(7) - (-3 + (sqrt(7) - sqrt(7)*-6)).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 54*s**2 + 4*s - 1514. Let b(z) = -10*z. What is j(b(i))?\nAnswer: 5400*i**2 - 40*i - 1514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 64.52.\nAnswer: -32.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1494616, -2989234, -4483852, -5978470, -7473088?\nAnswer: -8967706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6834 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 13*y**2 + 16*y - 24. Suppose 4*k + k = 70. Let n be m(k). Let p(a) = a**3 - 4*a**2 + 2*a - 3. What is the units digit of p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 101?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*n + 38, 0 = -4*n - 33*r + 32*r + 79. Suppose -35*h + n*h = -210. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2338 = 2*m - 127*m - 2162 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8017747?\nAnswer: 31, 258637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52, 70, 76, 70, 52, 22, -20?\n\"Answer: -6*c**2 + 36*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 0, 3*z + 0*z - 78 = 4*n. Suppose 5*s + g = 21, -3*s + 5 = -5*g - z. Solve s = 3*c - c - u, 5*u = 4*c - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*o = 0, f = -f + 4*o. Let j be (2 - f) + (-10)\/8. Which is the second biggest value? (a) j (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 15912 + 15953 + 3*j.\nAnswer: 3*j + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3\/6 + 3*s**2 + 185*s + 82. Let i(h) be the first derivative of d(h). Calculate i(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -30. Calculate the remainder when (2*4)\/((-10)\/(-8)*84\/210) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*t + 3*a + 4, -3*t = -a - 13. Solve t*r - 247 = 5*h - 224, -3*h - 3*r = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/16 - 5) + (1785\/(-20))\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120453 - -5512534.\nAnswer: 5632987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, -283, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + 6. Let f(v) = -5*v**3 + 2*v + 3*v**3 + y*v**2 + v**3 + 7 - 3. What is f(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964840, 1929684, 2894528?\nAnswer: 3859372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -15271.272?\nAnswer: -15270.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21268*n**4 + 1 - 2*n**3 - 21264*n**4 - n - 14*n**2 + 0*n**3 to s*n + b*n**3 + v*n**4 + d*n**2 + f and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*g + 4, 3*v + g = 8 - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-2 + sqrt(68))*-6 - sqrt(68)*4*-5)\/(-6*(sqrt(4) - sqrt(4)*-2*4)*-6)*-2.\nAnswer: -10*sqrt(17)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 565125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84978, -2, -3.\nAnswer: -3, -2, 84978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007463671 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/84 - 51*x**3\/14 + 225*x**2\/7 - 4*x - 63. Factor i(v).\nAnswer: (v - 150)*(v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*q = 3*w + 31, -32 = 2*w + 4*q. Let c = w + 16. Suppose -9\/5*a + 2\/5 + 7\/5*a**c = 0. Calculate a.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 18257 + 36183 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 16 = 0. Is ((-382)\/(7 + -5))\/((-2)\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let x(a) = 7*a + 7. Let m(q) = -2*j(q) + x(q). Let i(f) = -10*f - 7. Let c be 4\/(-8)*8\/(-12)*(-10 - 11). Calculate c*m(g) - 5*i(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwvwdboodd. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:48 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.603 to one dp.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h, 3*h + 15 = -p + 5*h. Let m(c) be the third derivative of -c**4\/24 + c**3\/3 - 2*c**2. What is the remainder when 40 is divided by m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 7*x + 5*x - 12*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 72. Calculate the remainder when 1297 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23491, 46980, 70469, 93958, 117447, 140936?\nAnswer: 164425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4221 divided by -1407\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -4. Let s be (a\/(-3))\/(4\/36). Solve -n - n + 2*q - s = 0, 21 = -4*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 129132*i**2 + 1389201975*i - 8339861250.\nAnswer: 3*(i - 6)*(i + 21525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 4 + 1\/30*s**3 + 0*s**2 - 3*s - 1\/100*s**5 + 0*s**4. Let d(j) be the first derivative of m(j). Let d(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3864 + 3893. Calculate the remainder when 4\/10 - 836\/(-10) is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s**5 - 60*s**4 - 1095*s**3 + 40*s**2 + 825*s + 270 = 0. What is s?\nAnswer: -6, -1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -341?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/105 + (292\/30)\/(-2). Let s = 12 + w. Solve -2*f = -s*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 2*v - 16*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 11*k**2 - k - 8. Let x be s(-11). Suppose j = -t + 33, 0*t - x*t - 2*j = -96. Suppose -6 = -t*v + 28*v. Sort v, -0.2, -1 in increasing order.\nAnswer: -1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from {g: 11, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/20 + n**4\/3 + 2*n**3\/3 - 3*n**2\/2 + 14*n. Give v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5037 and 199905.\nAnswer: 335640495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0.05 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*m*n**4 - m*n**2 - 3*m*n + m + 3*n**4 - 3*n wrt n.\nAnswer: -288*m*n**2 - 2*m + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p. Let w(x) = 27*x. What is -5*f(n) - 3*w(n)?\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyfjjfbjyooffa. Give prob of picking 2 y and 1 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:26 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 10*l + 81. Let p be v(-15). Let r = 5 - 7. Sort 4, r, p, 1 in ascending order.\nAnswer: r, 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255265 litres in millilitres?\nAnswer: 255.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 + 8*j + 12. Let z be n(-6). Let u(b) = b**2 + 12*b - 9. Let v be u(-13). Solve z = d - 7 + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3795 + 6901. Does 3105 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76 and 73.\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -58384 (base 9) in base 10?\nAnswer: -38956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 10, f: 2, u: 3, w: 3}. Give prob of picking 1 l and 2 u.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:05 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 4*y - 2. Let x be i(2). Let r = x + 20. Suppose -r*o + 8 = -58. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 637 - 313. What is the greatest common divisor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29447964 divided by 36764\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 - 3*d + 2. Let n(s) = -3 + 15*s**2 + 3*s**2 - 2*s**2 - 4 + 10*s. What is -4*n(u) - 14*z(u)?\nAnswer: 6*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-207)\/(-12) + -13)*296\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*t**3 + 7828796*t**2 + 1118400*t.\nAnswer: -4*t*(t - 279600)*(7*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20, 61 = -4*s - 5*b + 10. Let r = s + 26. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 27915944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -0.1. Let i(h) = -2*h**2 - 38*h - 97. Let r be i(-3). Let z = -0.1 - 0.1. Which is the closest to r? (a) -2\/3 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3948494050?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48400 - -48399.96. Let v = -3 + -12. What is the third biggest value in v, t, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*b. Suppose 12 = -0*d - b*d + 2*s, -s + 22 = -5*d. Sort -1, d, 0.3 in increasing order.\nAnswer: d, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**5 + 76*d**3*k + 4*d**2*k + 28*k wrt d?\nAnswer: 660*d**2 + 456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:59 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.5. Let j = 0.2 - r. Which is the third smallest value? (a) 4 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g - 6. Let a be v(7). Suppose -a = -s + 3*s. Is 2 + (-54)\/(s + 2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1093751*a**5 + 1894762*a**2?\nAnswer: 65625060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 7*z + 8. Let w be v(8). Solve 3*j + w*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81520, -163042, -244564, -326086, -407608, -489130?\n\"Answer: -81522*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*w - 120 = -t, -2*t = 12*w - 102. What is the smallest common multiple of 1266 and t?\nAnswer: 8862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 + 5*k - 7. Let f be d(1). Let n = -2.99 - 0.01. Let p = 9\/16 + 3\/16. What is the biggest value in f, p, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 21*n**3 - 15. Let y(b) = -21*b**3 + 14. Let q(s) = -3*a(s) - 2*y(s). What is the first derivative of q(i) wrt i?\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyou when four letters picked without replacement from {v: 2, y: 2, u: 6, o: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*x - 35 = 0, 7*f - 3*x - 24 = 10*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887945860?\nAnswer: 2, 5, 41, 53, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v\/(v\/(v*(v\/(v**(-2\/5)*v))\/v*v*v)))\/v)*v*(v*v*(v*v*v**(-6\/5)*v)\/v*v)\/v*(v\/v**2*v)\/(v*v**(7\/3)))**(8\/3) assuming v is positive.\nAnswer: v**(128\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.5, -3\/7, 5 in ascending order.\nAnswer: -1\/2, -3\/7, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(325) + (sqrt(325)*-1 + 4 - sqrt(325) - sqrt(325) - sqrt(325)) + sqrt(325))**2.\nAnswer: -6580 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Suppose 8*g - 65 = 3*g. Let h = g + -10. Let t(f) = -h*f - f - f + f. Calculate t(k(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n + 0*n)*(2 + 16*n**2 - 3*n**2 + 0*n**2).\nAnswer: 26*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 900 = -51*u - 7*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 164\/59, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 261?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 17 - 13. What is the third smallest value in -2\/5, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:00 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48987673 to the nearest integer?\nAnswer: 6999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 161, 248, 337, 428, 521?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 22*w - 58. Let r be i(13). Suppose n + 5 = m + 2*m, -5*n = 2*m - 26. Sort m, 1, r in decreasing order.\nAnswer: m, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12528 and 7748.\nAnswer: 24266736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82.404 + 0.104. Let u = g + 82. Which is the fourth smallest value? (a) u (b) 8 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 924.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3765? (a) -8\/3 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120344 (base 13) in base 10?\nAnswer: -5255787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*l + 3010 = 30*l. Suppose -3*r = -6, -2*j + r - 8 - 74 = 0. Let a = l - j. Let q(v) = -v**3 + 5*v**2 + 5. Calculate q(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -300698*s - 902049. What is m(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 3) - -7*36\/126.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -61. Suppose -2*n = 4*x + 8, 3*n = h*x - 6*x - 6. Solve n*y = 1 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938707 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**3 + 3*f**2 + 3*f. Let t(h) = -120*h**3 - 32*h**2 - 32*h. What is -32*l(z) - 3*t(z)?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 2*z**3 + z**3)*(0 - 1 + 2)*(0 + 2 + 2).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64\/5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 6. Let b be w(-3). Is 7 a factor of 21\/b - (1 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 18 = -5*s. Suppose -d = -s*d + 316. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -23804.\nAnswer: 21\/23804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -3)\/(-744 + 1). Let b = 39407\/10402 - w. Find the common denominator of b and -63\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3730, -3731, -3732?\n\"Answer: -f - 3729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -14*j - 9\/2*j**2 - 16 - 1\/3*j**3. Let o be v(-6). Solve o*s - s + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(7) - ((sqrt(343) + -1)**2 - sqrt(7))) + sqrt(7) + sqrt(77)\/(sqrt(11) - sqrt(539)))*5.\nAnswer: -1730 + 505*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3722 = 216*a - 50. Let v(m) = m**2 + 11*m - 18. Calculate v(a).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 9, i: 1}. What is prob of sequence ppi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*1*0. Let f = z + 4. Suppose -d + 2*j + 17 = 2*d, 4*d = -2*j + f. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 5. Let o(p) = -6*p**2 - 40*p - 378. Let f(a) = -3*a**2 - 21*a - 216. Let q(x) = -7*f(x) + 4*o(x). What is t(q(r))?\nAnswer: -12*r**2 - 52*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from ildwgsl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038 is divided by 1508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-8)*190\/665?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1038878 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from {z: 1, s: 1, q: 2, x: 3, u: 1, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 756*u**2 + 736*u**2 - 1492*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23564704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*l**2 + 83 + l**3 - 3*l**3 - 85 + (3 + 2 - 2)*(2*l - 2*l + 3*l**3).\nAnswer: 7*l**3 + 31*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 1. Let k(z) = 30*z**3 - 1. Give -a(t) + k(t).\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104335 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 90 - 932 = -2*d, -2*d = 2*y - 506. Suppose -y = 18*p - 21*p. Suppose 2*m = 2*w + 5*m - 168, w = -2*m + p. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 101109382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35690 + -33128. Calculate the least common multiple of f and 1647.\nAnswer: 23058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 9*r - 2335. Let b be a(53). Let d(s) = 11*s**3 + 3*s - 3. Let u(y) = 22*y**3 + 7*y - 7. Determine b*u(c) + 7*d(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/5 + 14\/5*u - 1\/5*u**2.\nAnswer: -(u - 13)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 930 + -930. Let o(z) = -2*z - 8. Let m be o(6). Put m, y, -4 in decreasing order.\nAnswer: y, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 8, g: 8}. Give prob of sequence ki.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29539857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(7 - (-5339)\/(-760)). What is the highest common divisor of 1940 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by 436?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(2\/5)\/((y\/((y**15*y)\/y*y))\/(y\/(y\/(y\/(y*y**3))*y))) assuming y is positive.\nAnswer: y**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733355.\nAnswer: 3, 5, 13, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1) + (-3)\/(-1). Suppose f = 6*t - 9 - 15. Find the second derivative of -5*b**t + 11*b - 8*b**4 + 6*b**4 - 6*b**4 wrt b.\nAnswer: -156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2727*s**2 + 4*s - 119673 with respect to s.\nAnswer: -5454*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-2)\/(-2))*-6. Let z(a) = -a**3 + 9*a**2. Let n be z(9). What is the tens digit of (i + n)\/((-4)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104455426 rounded to the nearest 1000000?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let v(g) = -g + 13. Let y be v(5). Solve -c*h = 3*u - 0*h - y, u - 3 = -2*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-35) - 5\/25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*k - 41 = 68, 2*h - 2*k = 242. Suppose 2*q = -5*m - 3*q + h, 0 = -5*m - q + 117. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*b - 24, 20*b + 18 = -4*m + 25*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 0 - 20\/9*y**4 + 52\/9*y**3 - 4\/9*y**5 - 28\/9*y**2.\nAnswer: -4*y**2*(y - 1)**2*(y + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -1.2. Let d = 1.2 - s. Let j = -11 + 8. Which is the nearest to -2\/5? (a) d (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose -t + u*t = -7. Let s = t - 4. Solve -s*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(12\/13)*f\/(f\/(((((f\/(f*f*f\/(f\/(f*f**(-10)*f))))\/f)\/f)\/f)\/f*f))*f**(-9\/4)\/f**0 assuming f is positive.\nAnswer: f**(139\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63709597*o**5 - 54970688*o wrt o?\nAnswer: 1274191940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 0, -20 = 5*i - 0*o + 4*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -19*x**5\/5 - 67*x**2 + 4911*x + 8013. What is the derivative of n(m) wrt m?\nAnswer: -76*m**3 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g**2 + 18*g - 123. Let x(l) = -11*l**2 - 19*l + 124. Let o(u) = 6*k(u) + 7*x(u). Let q be o(7). Solve 2 = i - 3*w, -i - q*w = w - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793418?\nAnswer: 2, 396709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 704 = 3*c. Let f = c + 50. Which is greater: -36 or f?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphpppppppppppppppp. Give prob of sequence hpp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-812)\/(-6902) + (-678)\/(-595) - 6\/7. Let 2\/5*m**3 + 0*m**2 + 1\/5*m**4 - i*m - 1\/5 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-9)*g*g\/g**(-1\/23)*(g**19)**(2\/3) assuming g is positive.\nAnswer: g**(463\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10294 = -204*w + 74*w - 1454 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*z + 5*b, -z + 36 = 2*b + 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u**2 + 2277*u - 360. Let y be j(-120). Put 1, 293, y, -5 in decreasing order.\nAnswer: 293, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-172 - -32 - -48).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -2.677.\nAnswer: 2.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412*j + 1439*j - 203 = 746 + 347 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20220 - -1210112?\nAnswer: 2001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g - 321. Let h be m(18). Sort 0, 614, h, 1 in increasing order.\nAnswer: 0, 1, h, 614","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k. Suppose 3*c + c + 16 = 0. Suppose 4*m = -d - 33 + 26, 0 = -3*d - 5*m. Let i(o) = -10*o. What is c*i(b) + d*p(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l. Let k(o) = -7*o - 4. Let g be k(-1). Solve -28 = -3*d - 4*w + g, l = -2*d + 2*w + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**2 - 1 + (-u**2 - u**2 + 0*u**2)*(-1 + 1 + 2) + u**2 + 0*u**2 + 3*u**2 - 3*u**2 + 3*u**2 - 36*u**2 in the form d*u**2 + h + i*u and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/53, -28, -4\/7, -3.1?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32353, 129413, 291179, 517651?\nAnswer: 808829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437780 and 32620?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190981, 382484, 574501, 767032, 960077, 1153636?\nAnswer: 1347709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 123*c + 1902. Calculate l(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 26*d + 447. Suppose -11 = -8*v + d. What is the remainder when 38 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-4)\/6) + (-578298)\/(-441)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-22)\/(-5)*(-45)\/36)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25*v + 17. Let p(n) = -3*n - 2. Let i(d) = -51*p(d) - 6*y(d). Let b(k) = 15*k. Suppose -282 = 16*f - 106. Give f*i(w) + 2*b(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 2, 5, -3, -3927 in descending order.\nAnswer: 14, 5, 2, -3, -5, -3927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -259.291406 to 1 dp.\nAnswer: -259.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 11. Let r be i(0). Let x = 9 - r. Let t be -1 - (x\/5)\/((-2)\/10). Let s(y) = 6*y - 1. Determine s(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - 164. List the prime factors of m - (8 + -5 + -308).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b - 36. Let l be m(15). Let r = l + 266. What is the least common multiple of r and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94830 and 6322.\nAnswer: 94830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**3\/11 - 302*x**2\/11 - 688*x\/11 + 168\/11 = 0.\nAnswer: -14, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1097 - 4897 - 4039 + 377)*(1 - 3 + 2*v**2 - v**2).\nAnswer: -9656*v**2 + 19312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 4*z**2 + 1. Let o(a) = -2*a**3 + 3*a**2 + 1. Let k(j) = 5*m(j) - 6*o(j). Let n be k(-1). Let d be 1 + n + 0 + 2. Is d bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 = -6. Let f be 4 + -2 + i + 5. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -5. Let k(c) = -c**3 + 19*c**2 - 31*c - 50. Let t be k(17). Sort l, t, -6 in decreasing order.\nAnswer: l, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 41*m - 24. Let k = -46 + 55. Let g be a(k). Suppose 10*q + g = 15*q. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11453*s**3 + 19*s**2 + 8*s + 6?\nAnswer: -68718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.03. Let b = 27 + -83. Let a = b - -56.2. What is the biggest value in a, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 8 - 2. Sort i, 4, 3.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2659*t. Let p(d) be the first derivative of d**3\/3 + 1260. What is o(p(s))?\nAnswer: 2659*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5658)\/(-836) + 28\/8*-2 and -77\/2?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 smaller than 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 0*t**2 - t**2 - 3*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let u be m(-6). Let i = u - -23. Find the third derivative of 2*v**5 + i*v**2 - 6*v**2 - 7*v**5 + v**5 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7649, 7659, 7669, 7679?\n\"Answer: 10*i + 7639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -1.43, 4, 913?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from dudggddgddddggdgu.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnmynnnbmmby. Give prob of sequence bm.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - -14 - -2)*2\/(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 + 2 + 32*l - 10*l - 7*l - 28 = 0. Calculate l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from dlvlsdslwdoowd.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 2 - (19 + -1). Let l(h) = 4*h**2 + 36*h - 3. Calculate the remainder when 252 is divided by l(k).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:34 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 2*k. Suppose 10 = b - 2*h, -h - 16 = 3*h. Let n(c) = -c**b - c**2 + c - 1 + c. Determine -2*n(q) + 3*w(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 80?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/32 and 160\/(-5760)*(46 + 1)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -18*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let m = 0 + r. Put m, 2, -1 in decreasing order.\nAnswer: m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.09804 days to seconds.\nAnswer: 5192470.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -111433?\nAnswer: 111442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27e + 0?\nAnswer: -27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31569 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u - 3 = 0. Let n = 6 - 3. Suppose -18 = -u*s - n. Solve -2 = -x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p + 9. Let n(h) = 4*h - 4. Let x(l) = 5*n(l) + 3*s(l). Let b be x(5). Factor 0 - 1\/4*r**3 + 1\/2*r**b - 1\/4*r.\nAnswer: -r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.90034 minutes to milliseconds.\nAnswer: 5334020.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 1. Let a(w) = 3*w**4 + 3*w**3 - 11*w**2 - 13*w - 4. Let l(u) = a(u) + 2*n(u). Suppose l(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*y - 3*r, 5*y - 3*r = 3*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:00 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose 0*l = 5*n + 3*l - 145, -c*l = -4*n + 84. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4044438 and -14\/6453.\nAnswer: 966620682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2353 + 1059045951.\nAnswer: 1059048304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 23*a + 140. Let s be n(28). Solve -10*i + s*i - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + (-135 - (91 + -128)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18914758 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 + 8\/3. Let n(s) be the second derivative of -2*s**y - s + 0 + 1\/2*s**3. Calculate n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 1426*g - 1425*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/10)\/((-1782)\/(-600) - 3). Factor -y*v - v**2 + 79*v + 78*v.\nAnswer: -v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 82 + 16*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1989 and 9486?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23478*i**2*y**4 - 2*i**2*y**2 + 4*i**2*y + 22553*i**2 + 2*i*y**6 wrt y.\nAnswer: -563472*i**2*y + 240*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6574*l**3 + 6387*l**3 - 4330*l**3.\nAnswer: 8631*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*w - 24, 17*w - 8 - 94 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d**3 + 106*d**2 - 106*d**2)*(d - d**2 - d) + ((3*d**3 - 8*d**3 + 4*d**3)*(4 - 5 + 0) + d**3 - 3*d + 3*d)*(-d**2 - d**2 + d**2).\nAnswer: -22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (9 + -5 + -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 7. What is v(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3768?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (31 + -33)\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, 332 in ascending order.\nAnswer: 0, 3, 4, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**21))\/((j**(-17\/4)*j)\/j*j))\/((j\/(j*(j*j*j**(-3\/8))\/j*j))\/(j\/((j**(6\/7)*j)\/j))))**(-35) assuming j is positive.\nAnswer: j**(4475\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y - 12. Let g be l(11). Suppose -9*h + 1 = -35. Suppose 3*d = -5*u + 166, -3*u - h*d + 86 = -7. What is the greatest common divisor of g and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 5, -4, -317, 4\/3 in increasing order.\nAnswer: -317, -4, 1, 4\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16\/15 + -79\/60. Let j = -0.9 + -0.1. Let w = -3 - j. Which is the nearest to m? (a) 2\/5 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078899 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + -1*((sqrt(1216) + sqrt(1216)*-5 + -1 - sqrt(1216)) + sqrt(1216) + (sqrt(1216) - (2 + (sqrt(1216) - 1*sqrt(1216)))))*-3)**2.\nAnswer: 576*sqrt(19) + 98514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 748367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let n(o) be the third derivative of 7*o**6\/360 - o**3\/2 - 3*o**2 + 5. Let u(a) be the first derivative of n(a). Give l(u(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 209872*p\/11 - 5505782048\/11.\nAnswer: -2*(p + 52468)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**4 + 1176*h**3 - h**2 - 2*h + 10756.\nAnswer: 72*h**2 + 7056*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3904763 years in months?\nAnswer: 4.6857156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63309.\nAnswer: 3, 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-1\/11)\/(p**(-2\/5))**(-18))**(1\/3) assuming p is positive.\nAnswer: p**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6847 is divided by 1352.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 20475?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/15 - 2*q**2 + 718*q. Let k(w) = -11*w**2 + 2. Let p(f) = -660*f**2 + 121. Let r(y) = -121*k(y) + 2*p(y). Give g(r(j)).\nAnswer: -484*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 27, -104, 1.\nAnswer: -104, -4, 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*b**5 - 20068*b**4 - 3977264*b**3 + 10501104*b**2 + 4835520*b = 0. What is b?\nAnswer: -730, -276, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -2*o - 5*p + 8, -3*p + 16 = 4*o. Let a(d) = -4*d + 1. Let i(u) = -u + 3. Let v be i(4). Let q be a(v). Put -1, o, q in ascending order.\nAnswer: -1, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*k + 385*k + 1285 + 49*k.\nAnswer: k + 1285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:21 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y**4 - 22 + 0*y - 13*y**2 + 0*y**3 + 24\/5*y**5. Find the second derivative of w(i) wrt i.\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihieeieiuigi. What is prob of sequence guh?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q*q*q**(1\/3)*q)**13\/((q*(q\/q**(-1\/6))\/q*q)**(1\/24))**(-36\/5) assuming q is positive.\nAnswer: q**(4979\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 122, 135, 150, 167?\n\"Answer: f**2 + 10*f + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132684*y**4 + 102*y**3 + 7*y**2 + 2207348*y - 14 wrt y?\nAnswer: -1592208*y**2 + 612*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 8*j + 9*j as b*j + c and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631601018 to the nearest integer?\nAnswer: 25132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2499*a + 2025*a + 133*a - 123*a.\nAnswer: 4534*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0 (c) 1 (d) -0.06 (e) -146387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -1901, -2842, -3767, -4670?\nAnswer: -5545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(2\/(-4) + 1). Suppose u*m - 14 = -r - 2, -5*r + 92 = -m. Factor r*j**2 + 0*j**2 + 4 - 7*j - 2 - 5*j.\nAnswer: 2*(3*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1300) - (sqrt(1300) + -1 - sqrt(1300))**2) + 2) + 4 + 1.\nAnswer: 7 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1216 + 1290. Calculate the remainder when 1035 is divided by y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1254 by 43.\nAnswer: -1254\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 - -1?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t, 3*a + 15 = -a + 5*t. Let o = a - -7. Suppose 0 = -v + 2*w + 15, -4*v - 3*w = 2 - o. Solve v = -4*s + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106164 by 18.\nAnswer: -5898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 139 (c) -2\/13 (d) 0.5 (e) 43.9 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t - 30*t - 1 = 24*t, 0 = 6*i - 4*t + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - (-6 - -4) - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/861 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009509526 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4648 - 4634. Put -4, -0.1, -2, 0.7, c in descending order.\nAnswer: c, 0.7, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -709160.\nAnswer: -1\/17729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, m: 1, o: 1}. Give prob of picking 1 a and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-14) - 6913\/217. Let l be (-11 + 12)*((-2)\/2 - d). Put -2, 5, l in increasing order.\nAnswer: -2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.350459.\nAnswer: -1.752295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdhiidiicrid. What is prob of sequence dicr?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.81?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 + (1 + 10 - 22 - -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 5*u. Suppose u = 5*h - 9 - 1. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 y when three letters picked without replacement from {r: 2, l: 1, a: 1, w: 2, y: 1, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/5649 and -73\/6456?\nAnswer: 45192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((4 - 10 - -1) + 6) - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892374.\nAnswer: 2, 3, 7, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360*i**4 - 28*i**3 + 66*i**2 + 465*i wrt i.\nAnswer: 8640*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 189, 3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:12 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 56580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 368, 549, 712, 851, 960, 1033?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -820.9315 - 0.0685. Let i = -820.84 - y. Which is the third smallest value? (a) i (b) -0.07 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.9 + -53.9. Let t = b + -5. Sort 0.2, t, 23.\nAnswer: 0.2, t, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 5*n**2 + 3*n - 6. What is the remainder when k(4) is divided by 8\/48 + (-83)\/(-12)*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 8*z**2 - z + 8. Let i be (-2)\/12*-66 + -4. Calculate l(i).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10*l + 2)*(-74 + 7 + 951).\nAnswer: 8840*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4338.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/(n*n*n**(-1\/2)))\/n)\/(((n*n**2)\/n)\/n))\/((n\/n**(-5))\/n**2) assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 164302 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + (1 - 126) + (263 - 247) + 21.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 26*p**2. Let h(w) = 10531235*w**2. Give v(h(n)).\nAnswer: 2883579676255850*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 283051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49541829367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1524 - 623. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 3. Let v(r) = -5 - 4 + 8. Suppose -31 = -5*c + 5*z - 4*z, -4*z = -c + 10. Suppose -c*x = -x - 5. Calculate x*n(j) - 5*v(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 9*h - 4*q, -3*h - 4*q + 269 - 52 = 0. Calculate the remainder when 222 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 5*f\/3 + 2.\nAnswer: (f + 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Let g be b - (5 + -3)\/(-2). Suppose -g*u - 16 = -121. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6254585 by -6254585.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2, -3, 6 in descending order.\nAnswer: 30, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4969, -4971, -4973?\n\"Answer: -2*f - 4967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 440957862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 3, -31, -2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.099 + -11.899. Let z = s + 11.80265. Round z to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4\/12405, 617 in increasing order.\nAnswer: -1\/3, 4\/12405, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 302, 311, 324?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 3*t**2 + 3*t. Let y be o(-3). Let x = y + 99. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = -3*n. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.5. Let m be (-1)\/6*(-16)\/12. Which is the third biggest value? (a) 2\/5 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -78?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5262 and -107\/18.\nAnswer: 15786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1874 and 47228?\nAnswer: 45354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1507*f**3 - 3*f**2 - 116*f wrt f.\nAnswer: 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let m = 107.7 - 108. What is the closest to 1 in o, -0.2, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 1. Let s(i) = 102 - 31 - 19 + 14*i - 26 - 25. Calculate -5*c(u) + 3*s(u).\nAnswer: 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -480, -481?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 616030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2 - 199448*f - 9944876176 = 0.\nAnswer: -99724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 1\/2 (b) 0.1 (c) -1\/8 (d) -39 (e) -46 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-223 - -215) + 2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, 2, 4, -493, -3 in ascending order.\nAnswer: -493, -14, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5996 - 7435039\/1240. Let w = k + 44017\/3720. Find the common denominator of w and 79\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:24 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1360 - 1204. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201311112 (base 4) in base 12?\nAnswer: 173a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11810549, -11810551, -11810553, -11810555?\nAnswer: -11810557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 + 3*y**2 - 15. Let t(k) = 5*k**3 + 2*k**2 + k - 14. Let l(n) = -6*a(n) + 7*t(n). Calculate the smallest common multiple of 16 and l(-6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 9.\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 123 = -48. Let y = -40 - -16. Let k = c - y. Solve -4*g - 4*m - 20 = -m, -k*m - 12 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.086665 * 2\nAnswer: 0.17333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294553647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1397, -1401, -1409, -1421, -1437, -1457?\n\"Answer: -2*m**2 + 2*m - 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 5 = -t + 18*i, 0 = -2*t - i + 10. Suppose -2*f - t*y + 85 = 0, 4*y = 3*f - 134 - 5. What is the least common multiple of f and 96?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9383565, -9383561, -9383555, -9383547, -9383537?\n\"Answer: j**2 + j - 9383567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*d**2 + 18512*d - 5288.\nAnswer: -2*(d - 1322)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/8)\/s)\/(s**(1\/3)\/s) assuming s is positive.\nAnswer: s**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**3 + 765*z**2 - 31581.\nAnswer: -12*z**2 + 1530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.22 - -60.249. Let z = m - 0.029. Let v = z + -34.0000013. What is v rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 1. Let d = -3.01 - -0.01. Sort q, 4, d.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 4*g**2 + 7*g - 9. Let c(q) = 2*q**2 - 15*q - 3. Let u be c(8). Let y be d(u). Does 2 divide ((-480)\/100)\/(y - (-6)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 1, -15, 35 in ascending order.\nAnswer: -15, -4, 1, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1433*x - 1432*x - 1824. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/19701522 and -71\/12?\nAnswer: 39403044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 398, 2625, 8670, 20441, 39846?\n\"Answer: 318*q**3 + q**2 - 2*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28717.14 from -0.02.\nAnswer: 28717.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 - 69*g + 5. Let s be z(10). Solve -5*j - 2*x = x - s, 2*j - 20 = -4*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 439 + 20*n - 5*n - 20 - 218 to the form v + o*n and give v.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002066510034 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -50 - (-4)\/(2\/1). Let x = 21 + q. Let t = x + 35. What is the least common multiple of 44 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 0 + 0 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10011110010000?\nAnswer: -10011110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 32681232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/26, 0.0156, -1\/5, -4, 4 in ascending order.\nAnswer: -4, -1\/5, -1\/26, 0.0156, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhjh when four letters picked without replacement from urrtrrhjrjjhjujj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -86. Suppose -z + 132 = 8*y - 4*y, -v*y = -z + 124. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -249 - -249.000103. Round m to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -68085 = -612757\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4284*d + 15 - 5 - 2146*d - 2140*d + 18.\nAnswer: -2*d + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692416 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 23*i**2 + 2\/3*i**3 + 0*i + 1\/180*i**5 + 0 - 1\/9*i**4. Find x such that o(x) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) 1\/20 (b) -0.14 (c) 129 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 45 = 0. Let w be (-1)\/3 - 21\/b. Solve w*v = -5*y + 3*y - 12, -2*y + 3*v = 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9*n - 1785 = -4*n, 5*q - 9040 = 2*n. What are the prime factors of q?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 + 12*z**4 + 33*z**3 - 34*z**2 - 84*z + 72 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-2)\/(-15)). Let k = f - 6. Suppose 0 = -k*a + 100 + 12. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 2226312.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35356675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.021 (b) 2\/3947 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggeugdeuuuguejudu. Give prob of sequence udu.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -7) + 0*(-9)\/72. Let k(v) = 11 + 2 + 0*v - g - 15*v. Let r(w) = 7*w - 3. Give -6*k(q) - 13*r(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.3, -2\/3, 0, -660, 3\/5 in increasing order.\nAnswer: -660, -4\/5, -2\/3, 0, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = x + 3*k, -x - 4*k - 7 = 0. Suppose f = 4*t + 8, 2*f - 35 + x = 2*t. What is the remainder when 79 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -84. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11*j + 2. Let u be o(0). Suppose 0 = -u*b - 3*s + 1, -4*b + 5*s + 32 = -3. Solve 3*r - 3*c = -0*r + 27, 3*r = b*c + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4\/7, 0.5, 2\/7, -37\/2, 3\/4?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(75)*-1 + -6*-1*sqrt(3) + -1)*1)**2.\nAnswer: -20 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4086*q**5 - 1042*q**3 - 10*q**2 + 244696*q wrt q?\nAnswer: -245160*q**2 - 6252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x + 71. What is f(-12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 32*c + 45. Let o be l(9). Let v(h) = -h**2 + 3*h + 2. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 333 + 14*y - 13*y - 22 + 21 - 42*y. Let t be q(8). Let n = 16 + -7. Solve n = t*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.18 - 0.32. What is the third biggest value in -5, y, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773*w - 35905 = 168*w + 2615 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 698 + -181. List the prime factors of u.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -87*o - 603. Let n be z(-7). Solve -4*y + n = v - 0, y - 4 = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4*((-5)\/1)\/(-30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**3 - 965 + 965.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 + -155. Suppose -3*h = -k*h + 27. Let t(g) = -6*g**2 + 4*g. Let r(q) = -q**2 + q + 1. Determine h*t(z) - 3*r(z).\nAnswer: -3*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/148*20\/40. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 22*c - 26*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/(8712\/35937)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2484 - 2449. What is the highest common divisor of 2905 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 39*k**2 - 46*k - 1524. Determine z(41).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 3*z + 2*z + 3*z - 3*z - 2*z + (7 + 2*z - 7)*(0 - 1 + 3) + 13 + 146*z - 144*z - 54 to w*z + s and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110021122112 (base 3) to base 6.\nAnswer: -5103152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2027*z**3 + z**2 + 5*z + 840 wrt z.\nAnswer: 12162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 31*t**2 - 32*t - 79. Let p be v(32). Let k = -77 - p. Solve h = 4*z + 3, k*z - 3*h = h - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129697.19 or -4?\nAnswer: -129697.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3272.9 + -3267.9. Sort 3, -28, 4, a, 1\/4.\nAnswer: -28, 1\/4, 3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**2 + 32*b**2 - 11 + 10 - 3*b + 3*b**3 - 53*b**2 in the form p + y*b**3 + i*b**2 + o*b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -3\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 18118 and 18118 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 348*i**2 + 3600*i.\nAnswer: 4*i*(i - 75)*(i - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10284276, -20568432, -30852588, -41136744, -51420900, -61705056?\nAnswer: -71989212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 5*j**2 - 18*j**2 + 47*j**3 - 22*j**3 + 6*j**2.\nAnswer: 25*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 2*t**4 - 227*t**3 + 440*t**3 + 5*t**4 - 1 - 213*t**3 to v*t**4 + k*t + b + n*t**3 + m*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000146892206 to 7 decimal places.\nAnswer: -0.0001469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.011 + 11.829. Let r = 22.74 - 23. Let t = r - c. What is t rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/480 and 83\/90?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187153, 187151, 187149, 187147?\nAnswer: 187145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69617, -139247, -208935, -278711, -348605?\nAnswer: -418647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 3*y + 0*y + 6*y to the form u + n*y and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {o: 2, t: 2, h: 1, f: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/18*6\/(-4). Suppose -3*c - 4*w + 16 = -6, -3*c = -2*w + 2. Solve i*a - 3*q = 29, 2*a + c*a = 2*q + 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u. Suppose u = -2*v + 2*w - 4, 3*v = -0*v - w - 6. What is the closest to -0.1 in v, -5\/6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4531?\nAnswer: 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -51. Let i = -0.2 + 0.7. Sort i, 2\/15, b in decreasing order.\nAnswer: i, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 6 = 0. Suppose -w*v + 9 = -0*v. Suppose v*j - 10 = -3*a + 2, -a - 4*j + 10 = 0. Solve l - 1 = a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753331.\nAnswer: 1087, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*n - 2*s, s - 9 + 2 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 14 - 2*y**2 + 14 + (-4*y - y + 4*y)*(17*y + 21*y - 71*y) to the form l*y**2 + a + h*y and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 82?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/44000 and 71\/1392250.\nAnswer: 245036000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202 + -8295?\nAnswer: -8093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10*c + 65. What is d(7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -684 (b) -0.2 (c) 2\/11 (d) 5 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 237.19126 to 1 decimal place.\nAnswer: 237.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*l - 2*l = 28, -16 = -4*l. Suppose t*g = 4*g + 71. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 26 - (28 + (4 - 21))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 2)*(5*m - 3*m + 0*m) + 0 + 4 + m - 3 to the form x + c*m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {h: 7, q: 2, c: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/6 + 14\/63*3. Find the third derivative of 21*o**y - 147*o**5 + 8 - 31*o**5 - 15*o**2 + 14 - 21 wrt o.\nAnswer: -9420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73685\/7, -0.5, -1, -0.11.\nAnswer: -1, -0.5, -0.11, 73685\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4 + 767*m**3 + 165237*m**2 + 6716241*m - 6882246 = 0.\nAnswer: -357, -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**8\/40 + 2*l**4\/3 - 11*l**3\/6 + 30*l**2. Let z(p) be the first derivative of x(p). Differentiate z(t) with respect to t.\nAnswer: -168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 692488 + -426155. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from iwaah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375850100 - 122.\nAnswer: 375849978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = g, 4*g + 8 = 2*g. Let n = -7 + p. Let o be n\/(-12) + 262\/6. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + r + 4. Determine x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.71 in -3\/5, -10, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11070 + -7705. What are the prime factors of q?\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2759\/3 - 931. Find the common denominator of v and -53\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (141\/3)\/(1\/(-3)). Let f = g - -218. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 - -6761?\nAnswer: 6831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24798*q + 20*q**3 - 53*q**3 + 31*q**3.\nAnswer: -2*q**3 + 24798*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose -6 = p*f - 46. Suppose -3*l = 2*l - 30. Calculate the smallest common multiple of f and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 376544264 - 376544341.0000155. Let z = 77 + f. What is z rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*d - 4*d + d)*(1 - 1 + d**2) + 14*d**3 - 16*d**2 + 16*d**2)*(-4 - 17*d**2 + 44*d**2 + 3).\nAnswer: 459*d**5 - 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 7*s**3\/2 + s**2 + 47*s + 3. What is the remainder when l(6) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -5, -42 in descending order.\nAnswer: -3\/7, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/24 - 9\/8. Let o = 5 - 7. Which is the biggest value? (a) o (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-23))\/((-151)\/(-3473))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -70710, -282829, -636358, -1131297?\n\"Answer: -70705*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 5. Let y be t(10). Let i = y - 63. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(162) - (sqrt(162) + 1)) + sqrt(162) + sqrt(162))*5)**2 + 1 + (sqrt(800))**2)*5.\nAnswer: -4500*sqrt(2) + 85130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 115 = -5*y, -2*y - 115*m + 560 - 340 = -397 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:15 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let p be (-2)\/1*(-3 - -9). What is the units digit of (-116)\/p + (-2)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*q = 2*q + 4, q = -3*p + 34. Suppose 0 = z - 2*z + 4*s + 10, 3*z = 2*s + p. Suppose c - z*c = -2. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -22110?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**7\/42 + 10*d**6\/3 - 41*d**5\/2 + 45*d**4 - 75*d**3\/2 - 2862*d. Determine s, given that m(s) = 0.\nAnswer: 0, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**7\/1260 + k**6\/360 + k**4\/6 - k. Let w(u) be the third derivative of x(u). Find the second derivative of w(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - -4 - (-10 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72.24+-1\nAnswer: -73.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*x**2 + 70*m**2*x + 2*m*x**2 + 19*m*x - x**2 wrt m.\nAnswer: 2*x**2 + 140*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + (-1 + sqrt(567) - sqrt(567)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196.175 + -158.4. Let s = g + -38. What is s rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/5 + 3924*q**4\/5 + 3904*q**3\/5 - 15696*q**2\/5 - 3136*q = 0. Calculate q.\nAnswer: -980, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74604519, 74604544, 74604585, 74604648, 74604739?\nAnswer: 74604864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*m + 10 = -10*m, 0 = -3*y - 2*m - 10. Let c(v) = 5*v**2 + 2*v + 7. Let h(j) = 14*j**2 + 6*j + 20. What is y*h(o) + 17*c(o)?\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194192, -388388, -582584, -776780, -970976?\nAnswer: -1165172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -595790784?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.214 + -2.214. What is the closest to 1\/7 in 0.1, s, 43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6*j + 1. Give s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0.1 (c) 0.12 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-3 - 7) + (-26 - 3 - 4) + -7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (39 + -1)*2 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 19*s + 17. What are the prime factors of a(-15)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 2. Let i be j(3). Let w = -84 - -98. Are i and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12786?\nAnswer: 2, 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 8136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -942, -3905, -8844, -15759?\n\"Answer: -988*f**2 + f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.074658 and 5.\nAnswer: 5.37329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 90 times -0.022\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkvknzzvknvsnzkkkn. Give prob of picking 1 s, 1 z, and 1 v.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(2\/9)*(u**(-1)*u)**49)**(4\/7) assuming u is positive.\nAnswer: u**(44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -361*b + 179. Give i(3).\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 13*m + 80. Let q be u(18). What is q rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/(-106) + (12\/(-5))\/(1140\/400)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -73*f + 224. List the prime factors of p(-35).\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*k - 17, 0 = -0*u - 4*u + 4*k + 92. Let d(f) = f**2 - 24*f + 66. Let t be d(u). Differentiate t - 15*w - 8 - 11 with respect to w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 883 + -882.6. Suppose 25 = -x + 5*p, 8 = x + 2*p - 2. Sort 4\/9, v, x in increasing order.\nAnswer: x, v, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*p - 552 with respect to p.\nAnswer: -465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93594671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 + 7*a + 10. Let h be i(7). Let r be h\/16 + 2\/8. Let c(t) = t**3 - 5*t**2 - 10*t + 8. Does 13 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 14) to base 16.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.84 + 21.759. Let f = -0.019 + a. What is f rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 - (7 - (11 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -249*i + 5\/6*i**3 + 0 - 39\/2*i**2. Determine u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5080 and -43\/770636.\nAnswer: 7706360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -25. Let x = 0 - 1. Let n = x + w. Which is the second biggest value? (a) -4\/5 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 30 = -22. Let o = -13 - -26. What is the highest common factor of n and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 1)*3\/4. Let l(i) = -i**2 + 13*i + 1. Let a be l(13). Solve n + a = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12910*w - 96440 = -10499*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*p = t + 2, -4*p = 5*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 21726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.4 - 6.84. Let i = v - -0.34. Which is greater: i or -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**6\/6 + w**5\/5 + 78*w**4 - 2095*w**3\/3 - 4300. What is the third derivative of m(q) wrt q?\nAnswer: 60*q**2 + 24*q + 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 970*d + 3 + 4 - 980*d + (-2 - 2 + 2)*(-4*d - 3*d - 10*d).\nAnswer: 24*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from ttsssstjjsbjsbttsss?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + u - 3. Let j be g(-2). Suppose 0 = -2*n - 18 + 8, 0 = 5*d + 3*n - 45. Suppose 0 = -2*m - d + 4. Sort j, 4, m.\nAnswer: m, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**7\/8 + 11*i**6\/24 + 7*i**5\/40 - 7*i**4\/12 - i**3\/3 + 9*i. Solve h(c) = 0 for c.\nAnswer: -2, -1, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:13 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.478 + 5767212.7408\nAnswer: 5767215.2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -39. Suppose -5*q = 2*p - 28, z*p - 24 = q - 3*q. Suppose 4 = p*i, -77 = 5*c + 3*i - 225. Solve 5*g - 3*k = 0, 0 = 3*g - 0*k + 4*k - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 7 = 7*l. Suppose -8*v + 204 = -l*v. Let n = -30 + v. Solve -14 + n = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/l**(2\/7))**(-1\/3)*((l**(2\/15)*l*l)\/l)\/((l*l**(-2\/7)*l)\/l)*l**(2\/17)*l**(2\/11)\/l assuming l is positive.\nAnswer: l**(-5527\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + y + 0*y + (0*y + 0*y - 2*y)*(-3 + 2 + 3) + 5 + 3*y - 5 + 5*y - 2*y - 4*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -19, -9, 3.15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o - 2\/5*o**3 - 4\/5 - 8\/5*o**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - 5*r - 87. Let w(c) = -6*c**2 - 5*c - 86. Let j(q) = 4*t(q) - 5*w(q). Find the first derivative of j(p) wrt p.\nAnswer: 4*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-5 - 9 - -10)) + (9 - -1). Solve -5*h = 2*s - 9 - 1, 0 = 5*h - 5*s - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in 3, -2\/5, -1\/9, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10454 and -0.5.\nAnswer: -10454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1707.2 - -1706.5. Let b = -0.05 + -0.25. Put -0.03, b, m in ascending order.\nAnswer: m, b, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**25)**(3\/13)\/(w**(-1)\/((w*(w*w**(-4\/7))\/w)\/w)*w**(2\/15)\/(w\/w**1)) assuming w is positive.\nAnswer: w**(8278\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.31*-2.2.\nAnswer: 73.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 826916*m**2 - 16 - 273244*m**2.\nAnswer: 553672*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n - 3. Let u be t(2). What is the highest common divisor of u and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -55*b**5 - 1475*b**4 - 500*b**3 + 17300*b**2 - 3120*b = 0.\nAnswer: -26, -4, 0, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 57*f + 8689. Give i(126).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17924477 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 419311149.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**4 - 14*x**2 + 216*x - 61048?\nAnswer: 8*x**3 - 28*x + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - l - 186 = 31, 4*b = -3*l + 213. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -4\/7, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z - 34. Suppose -6*q - 39 = -q - u, 2*q = -2*u - 6. What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**5\/60 - t**4\/9 - 5*t**3\/18 - t**2\/3 - 4*t + 2. Let g(r) be the first derivative of u(r). Solve g(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2876282*m**2 - 2876289*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -835 (b) -2\/11 (c) -0.5 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nucn when four letters picked without replacement from {u: 1, x: 3, n: 6, c: 6, b: 1}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 779*h**3 + 200304*h**2 + 17029116*h.\nAnswer: h*(h + 234)**2*(h + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - 22763.\nAnswer: -22750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-3)\/(-72)*19\/(-57)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 28*y + 74 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/24*(-3174)\/(-4)*1. Let m = -167 + t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 - 5*p**2 + 11*p. Let m(j) = -2*j**3 + 2*j**2 - 5*j. Suppose 2*i + 6 = 5*i. Determine i*y(v) + 5*m(v).\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 16) to base 5.\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from qqqszqszsqrz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 - -411. Let v be (d\/(-7) + (-284)\/112)*4. Let z(g) = 2*g**2 - 5*g + 2. Let p(i) = -5*i**2 + 11*i - 5. What is v*z(t) - 4*p(t)?\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 811422592129 + 4?\nAnswer: 811422592133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 3:51 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9307, -37040, -83241, -147898, -230999?\n\"Answer: 2*l**3 - 9246*l**2 - 9*l - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1588*t = -766*t - 745*t - 1232 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7215 is divided by 452?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g**3\/3 - g**2\/2 - 31*g. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -430*b - 5407. Let l = 36 - 20. Calculate the remainder when p(-13) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 109. Suppose -12550 = -6*k - y*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20b - 3?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1.7093249.\nAnswer: 0.85466245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165.6 - 2.8.\nAnswer: -168.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u**21)**(-1\/28) assuming u is positive.\nAnswer: u**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 7*j + 3. Suppose -2*g - 431 - 453 = 0. Let y = 436 + g. Let w(t) = -11*t**2 + 8*t - 4. Determine y*l(i) - 5*w(i).\nAnswer: -5*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236741*m**3*s - 71*m**3 - 84*m - 2 wrt s.\nAnswer: 236741*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.796 - 0.896. Let f = -2 - -2. Let h = -0.7 + 0.3. Which is the nearest to f? (a) h (b) -3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)\/(j**(-3)*j)*(j**(-1\/2))**(-2\/7) assuming j is positive.\nAnswer: j**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142213 to the power of 1\/2, to the nearest integer?\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(117) + (sqrt(117) + sqrt(117) + -5 - sqrt(117)))**2 + -4 + 3 + ((-4*sqrt(117) + 3 - sqrt(117)) + -4)**2 + 4.\nAnswer: -30*sqrt(13) + 3417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.2? (a) 7 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11121*y - 11118*y = -4*o - 58, 0 = 4*o + 5*y + 54 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339183?\nAnswer: 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(-21))\/o)\/o)\/o)**7\/(o**(-9)*o)**(-20) assuming o is positive.\nAnswer: o**(-314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94262639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 49. Let g be h(49). Let t be (g - 1)*(4 - 4). Put -1, 119, t in ascending order.\nAnswer: -1, t, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 2587 + 14359 = -0*z. Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 548*j + 57. Is w(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = -5*m, 324 - 298 = 3*m + 5*u. Sort m, 16, 0, -1 in increasing order.\nAnswer: -1, 0, m, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49662 and 9882.\nAnswer: 27264438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206 by 292.\nAnswer: 103\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5324 by 22.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*l = 18, -4*t + 873 - 897 = -2*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2. Suppose 13*l - 14*l + 314 = 0. Let i(c) = -l*c + 646*c - 321*c. Determine r(i(o)).\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22986 - -22986.4. What is the third biggest value in 0.5, -197, u?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34274 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -40485*p + 485828. What is y(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 27*i**2 + 6*i - 6. Let y(q) = -15*q**3 + 53*q**2 - 13*q + 13. Let v(o) = -398*o - 7177. Let f be v(-18). Determine f*p(r) - 6*y(r).\nAnswer: -r**3 + 33*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-7))\/((-6)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Which is the nearest to 2? (a) 5 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 35. Let n be p(-5). Solve -5*x = j + 2, 5*j - 19 = -n*j + 4*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364558, 364554, 364550, 364546, 364542?\n\"Answer: -4*m + 364562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/13 - -4\/39. Let a = -3 + 4. Is a smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.7 - 33. Let m = x - 0.7. What is the nearest to m in -5, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 - 16 - -196 - (8 - 0). Which is smaller: j or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -126. Suppose p = 4*m - 158, 5*p - 44 = -m + 3*p. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15*c**2 + 62*c**2 + 56*c**2 - 12*c**2 - 7*c**2.\nAnswer: 84*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*8959.\nAnswer: 44795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 734182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/150 + x**3\/15 + 5*x**2. Solve w(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 3724 = 4*r. Suppose 4*i - 221 = 5*y, -3*i + 2*y - 32 = -r. What is the greatest common divisor of i and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -a + 2, -297999*v + 4*a - 3 = -297996*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9)\/((-6)\/9). Sort 0, -2\/9, f in ascending order.\nAnswer: f, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 20. Find the third derivative of 29*j**4 - 17*j**2 - s*j**2 - 2*j**2 + 0*j**2 wrt j.\nAnswer: 696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:08 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -25 + t**2 - 6750*t + 14*t**2 + 6743*t - t**3. Let x be i(14). What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/6 - 5*l**2\/2 - 3939*l. Suppose -2*g + 12 = -3*g + 3*j, -14 = g - 4*j. Let f(r) = -2*r - 8. Let i be f(g). Give w(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427354 (base 10) in base 7?\nAnswer: 3426634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 7. Let o be p(-4). Let b be (28\/35)\/((-4)\/(-20)). Suppose d + 4*r = -2 + 6, -r = b*d - 31. Solve o*f - d = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 2, f: 2}. What is prob of sequence kx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 12*c**2 - 10*c + 13. Let i be p(-11). Suppose b = 3*h + 14, i*b = 2*h - 3*h. Let n = -4 + 7. Solve -n = -5*r + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348.47994 + -38.8.\nAnswer: 309.67994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 869 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a**6 - 221*a**5 + 2*a**4 - 21681*a**2 wrt a?\nAnswer: 1920*a**3 - 13260*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(968) + sqrt(968) + -1 + 2)**2.\nAnswer: 264*sqrt(2) + 11619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, -2*c - 3*i = -6 - 1. Suppose 0 = -c*t - 11*t. Solve t = h + h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585884710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1 - 38*t - 8 + 3. Let m be x(-4). Let d = -76 + m. What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/8 - t**3\/6 - 11*t**2\/2 + 4*t + 63. Let z(s) be the second derivative of v(s). Determine z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, o: 1, r: 3, b: 4, h: 3, m: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 - 90555*b**4 - 411050200*b**3 - 9413538220*b**2 - 32724447840*b - 31081695680 = 0.\nAnswer: -9044, -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a - 42. Let c = a + 14. Calculate the remainder when 13 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {o: 1, w: 1, n: 4, u: 2, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 100246847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -30*m - 206. Let x be i(-7). Let c(g) be the second derivative of -21*g + 0 + 0*g**2 + 1\/6*g**x - 1\/6*g**3. Give c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5280031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6485 divided by 86.\nAnswer: 6485\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3567 (base 9) to base 5.\nAnswer: -41103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -311099?\nAnswer: -311099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 4632.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158\/18651 + -337725514\/801993. Let k = d - -421. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from -962290.\nAnswer: -962259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let g(d) = 4*d. Let z(p) = -g(p) - 5*w(p). Let i be z(-5). Let a = 47 - 47.3. Sort -3\/4, a, i in increasing order.\nAnswer: i, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from dhdhdddh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 3. Let d(a) = -a**2 + a + 2. Let x be d(-2). Let p be l(x). Is -1 + 5\/(p\/4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7461*q**5 - 13*q**2 - 56*q.\nAnswer: -447660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 35793\/(-12)) + (-7)\/(-28). Suppose 157 = -w - u. Is 14 a factor of -1 + 14\/18 - w\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 3 = 0, -3*l + 9 = z. Let u be (-2)\/(-3)*9\/2. Let b be 5\/(-2) - u\/6. Put 2, b, z in increasing order.\nAnswer: b, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 979, 2331, 3801, 5449, 7335?\nAnswer: 9519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ygygy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 6*z + 7. Let r be 1\/(2 + (-11)\/6). Suppose 2*g + r + 4 = 0. Let f be u(g). Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*u - 137019 - 73219, -5*k = -2*u - 210196. What are the prime factors of k?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 376416, 376545, 376676, 376809, 376944, 377081?\n\"Answer: c**2 + 126*c + 376289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 20956*j**2 + 54873280*j - 109830400.\nAnswer: 2*(j - 2)*(j + 5240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -786.\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)\/(o*o\/(o**(-18)\/o)*o))\/((o\/(o**(-8)\/o))\/o**(-15)) assuming o is positive.\nAnswer: o**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + 4. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431, 4350, -186 in ascending order.\nAnswer: -431, -186, 4350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -13\/5 (c) -1\/2 (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -20*p - 198. Calculate i(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 170*t + 176*t + 3 - 737*t + 189*t + 177*t.\nAnswer: 2*t**2 - 25*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7575 - 3094*o**3 - 7575 - 2*o in the form i*o + w + s*o**2 + k*o**3 and give k.\nAnswer: -3094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 52 + 0*k + 15*k**3 + 2*k + 6*k to o*k + h*k**3 + b*k**2 + i and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:38 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 1. Let t be l(-4). Suppose v - 661 = 5*m, -2*v = -t + 11. Let j = -89 - m. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.711914*-0.1\nAnswer: 0.1711914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 174.2\nAnswer: 52.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 124, 373, 858, 1657?\n\"Answer: 13*h**3 + h**2 - 3*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let p be v(0). Let y be (1\/(-2) + p)*2. Is 5*y*(-21)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*s + 34*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00690736084 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87627 divided by 2?\nAnswer: -87627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 <= 51928\/787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2213446*n**2\/9 + 2*n\/9.\nAnswer: -2*n*(1106723*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 5, w: 1, t: 2}. Give prob of sequence wt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 14*x + x)*(225 - 114 - 82).\nAnswer: -464*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 10*i + 7. Let n be s(-9). What is the tens digit of 14\/n*18\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9694, 9697, 9700, 9703?\nAnswer: 9706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4061*a**3 - 653*a**3 + 3795*a**3 - 641*a**3.\nAnswer: 6562*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 304518\/5, 1?\nAnswer: 304518\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93 - 90) + (-2 - (-1 + 3 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*c + 5*c - 25, 0 = -c + 5. Solve u = 3*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -32*i + 4. Let h(p) = -17*p + 2. Give 5*h(w) - 2*n(w).\nAnswer: -21*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26be0 - 1238?\nAnswer: -27e18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 16. Let s = 48 - 30. Let w = s - i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 4, e: 4, n: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 128?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 567 = 3*n, -5*g + 5*n - 251 = -7*g. Let p = g + -23. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -8*i + 7*i - 15, 0 = -2*x + 2*i + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4, 3*h - 46*i - 33 = -52*i - 240 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 24. Give t(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13)\/(390\/125) + (-5)\/(-6))*-5817?\nAnswer: 2, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16266212 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + r**3 - 4*r**2 - 28*r**3.\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/60 + 20*t**3\/3 - 2*t + 16. Let r(k) be the second derivative of c(k). Let n(m) = -11*m - 1. What is r(n(d))?\nAnswer: -22*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41.841 and 572549.607.\nAnswer: 572591.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -894777 - -35?\nAnswer: -894742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.12, -1\/265 in descending order.\nAnswer: 0.12, 0.05, -1\/265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = x + 13, 2*t - 5*x + 14 = 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25410 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -438 at least -32977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8a6 (base 13) to base 15\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5 - 1851\/(-5). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 3549?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 146. Let q be 60\/(-160) + (-39)\/r. Let a(x) = -3*x**3 - 3*x**2 - 3*x - 3. What is a(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6142836 divided by -2\nAnswer: -3071418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevvdepleevl. Give prob of picking 2 e, 1 d, and 1 l.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1407 - -1409. Suppose 3*v = -1 + 7. Solve v*b = b + m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 348968*j**2 - 257233?\nAnswer: 697936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -4*d, -4*d = 31*y - 26*y - 5. Let a(j) = 24*j**2 + 6*j + 21. Let b be a(-7). Let q be 812\/b + 4\/(-6). Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 26. Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91984, -183975, -275988, -368035, -460128?\n\"Answer: -2*f**3 + f**2 - 91980*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m**(1\/2))\/m)\/(m\/m**(-4)))\/((m*m**0)\/m**(-3)))**(-1\/4) assuming m is positive.\nAnswer: m**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0413 - 65.0913. Let m = -65 - l. Which is the fourth biggest value? (a) -4\/5 (b) 0.5 (c) -2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3874, -5, 5, -8 in decreasing order.\nAnswer: 3874, 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 - -238. Suppose 29 = 5*j - 56. Calculate the remainder when j is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -9. Suppose -5*r - 12 = 3*x, -5*x - 5*r = -i*x + 13. Calculate the remainder when 2 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-2 + 41\/3). Let s(o) = -14*o + 75. Let b be s(6). Let y = f + b. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p**4 - 868*p**3 + 66056*p**2 + 26560*p = 0. What is p?\nAnswer: -83, -2\/5, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3337\/664 - -29\/83. What is the common denominator of -35\/4 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**2*p**2 + 792*a**2*p - 5*a**2 - 4184 with respect to p.\nAnswer: 18*a**2*p + 792*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 19*n + 29. Give w(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -4*u**5\/35 + 17*u**4 + 964*u**3\/21 + 242*u**2\/7 + 1287. Suppose x(y) = 0. Calculate y.\nAnswer: -1, 0, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 10. Let m be ((-1 - -1)*-1)\/2. Suppose 4*r + m = 4. What is the remainder when j(8) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(343)*-1 + sqrt(343))*4)**2 + (4*(sqrt(343) - sqrt(343)*1))**2 + (1 + (sqrt(343) - (sqrt(343) - sqrt(343)*4)))**2.\nAnswer: 56*sqrt(7) + 5498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16b1c (base 13) to base 14\nAnswer: 11c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let l(w) = 295200*w. Determine v(l(p)).\nAnswer: 590400*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*s**4\/3 + 146*s**3\/3 - 208*s**2\/3 + 18*s + 12 = 0. What is s?\nAnswer: -2\/7, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/2743562 and 60\/133.\nAnswer: 19204934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 406 - 121 = 0. Suppose -585 = 18*r - 15*r. Let v = r - x. What is the highest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ifiiifiiiff.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2801*b - 853*b = -8121 - 30839 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*w = -22 - 12, 3*w = 3. Let f(p) = p**3 + 6*p**2 + 2*p + 8. Let g be f(s). Is 72\/(-2)*2\/g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**6\/180 + 2*u**5\/15 + 4*u**4\/3 - 11*u**3\/2 - 4*u. Let p(g) be the second derivative of o(g). Factor p(n).\nAnswer: 2*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = -462*x + 463*x + m, 2*x - 5*m = 424. Calculate the least common multiple of x and 136.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03956*-3.2\nAnswer: 0.126592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 19*u - 23*u. Let k be (u\/6)\/((-1)\/12*-2). Let s(c) = c**3 - 9*c**2 + 9. Determine s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - 4 - -2) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 23. What is the lowest common multiple of b and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 6*w**3 - 2 + 0 + 6*w**3 to the form g*w + x + m*w**3 + v*w**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from pooppvvvv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59261?\nAnswer: 19, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -130*v - 69. Let p(g) = g**3 - 15*g**2 + 15*g - 25. Let a be p(14). Is s(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*363\/(-7425)*5\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 88.44.\nAnswer: 88.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 13*x + 10. Let w = 13 + -9. What is the remainder when h(-13) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 18*o = 0. Calculate o.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6*o**2 + 2*o + 4. What is the units digit of u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 11*k - 38. Let m be v(-14). Let l be 1*(0 - (m - 3)). Let p be (4 + -2)\/((-1)\/2 - l). Solve -5*t - 29 + p = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10524 - 10524 + 2007*z**2.\nAnswer: 2007*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -105.\nAnswer: -29\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 47, 121, 233, 389?\n\"Answer: q**3 + 10*q**2 + 5*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:45 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -128.0097 * -4\nAnswer: 512.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i + 5. Suppose 30*q = 38*q - 136. Suppose -x = 4*w - q, 4*w + 4*x - 8 = -0. Let s(u) = 13*u + 3. What is w*f(m) - 8*s(m)?\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*x = -958, 6*x + 958 = -2*f + 2*x. Let b = -432 - f. What is the remainder when b is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -66564389 in descending order.\nAnswer: 5, 2, -66564389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 669779 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5803\/2 + 6\/(-24)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 1, p: 1, k: 3, t: 2, h: 1, x: 4}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 56*b + 460 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175785\/22 + 7987. Find the common denominator of -97\/18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 699a46d + -3?\nAnswer: 699a46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31377397*s*v + 122989347*s wrt v.\nAnswer: -31377397*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/16)\/(-5))\/(52521\/1708).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -901*c**3*f**2 + 11*c**2*f**2 - 15*c*f**2 + c*f - 2*c - 5*f**2 wrt c.\nAnswer: -5406*c*f**2 + 22*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59712 is divided by 1390.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (428*a**2 - 864*a**2 + 592*a**3 + 437*a**2)*(a + 2*a - 4*a) to x*a**4 + k*a**2 + z*a + v*a**3 + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 846*w**3 - 449*w - 5 + 448*w)*(-1 - 2 + 0).\nAnswer: -2538*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 3)*(3 + 0 - 5)*(-26*b**4 + 204*b + 24*b**4 + 101*b) as z*b + w + r*b**4 + g*b**3 + f*b**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**(1\/3)*(l\/(l\/(l*l**0)))\/l**(1\/8)*(l*l**(-1\/8))\/l**2*(((l*l**(-2\/5))\/l)\/l*l)\/((l\/(((l*l\/l**(1\/2))\/l)\/l))\/l*l) assuming l is positive.\nAnswer: l**(-89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**2. Let f(h) = -1330*h + 1. Calculate d(f(p)).\nAnswer: 24764600*p**2 - 37240*p + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 145774938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 129 + 4?\nAnswer: 12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**6 + 15858*t**4 + 3*t**3 + 3*t**2 + 4053*t + 14 wrt t?\nAnswer: 1080*t**3 + 380592*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 - -529404?\nAnswer: 529384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.8. Let r = 1 - 6. Which is the nearest to h? (a) r (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -671446 times 0.16\nAnswer: -107431.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4194 + -4187. Calculate the highest common divisor of c and 254.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 86. Suppose -4*p = -2*h - 14, -p - 5 = -4*p - 4*h. Suppose 4*q = -s + 17, s - t = -4*q - p*s. Solve -z = -q*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-7)\/(-6)). What is the closest to w in 0.2, -0.5, 2\/123?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f - 1649. Let l(g) = -g**2 + 42. Give n(l(i)).\nAnswer: 7*i**2 - 1943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4af5f1c - 4?\nAnswer: -4af5f20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20883640, -41767267, -62650894, -83534521, -104418148, -125301775?\n\"Answer: -20883627*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 5*p - 4*f + 9, 4*f - 48 = -4*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 555267 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2404 - 1204 - 1818*v - 1200. Let p(w) = -4*w**2. What is o(p(s))?\nAnswer: 7272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) - 6*(sqrt(320) + (sqrt(320)*-1 + sqrt(320))**2) - (-3 + sqrt(320)*1 + sqrt(320)) - (-2 + -1*((sqrt(320) + sqrt(320)*-1 + sqrt(320))*4)**2).\nAnswer: -56*sqrt(5) + 5125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2905010 and 16268056.\nAnswer: 81340280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552852?\nAnswer: 2, 3, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)\/sqrt(3) - 6*sqrt(22)*1)\/(-5*sqrt(8)*2*-3) + 2.\nAnswer: -sqrt(11)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:13 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-66)\/34 - -2). Let k(q) = q**2 + 33*q - 162. Let d be k(5). Suppose d = 3*n - b. What is the remainder when 44 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let c be v(-4). Let f = c - 8. Let l be -1 + -1 + 1 - f. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1708 + 1714. What is the greatest common factor of 12132 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Suppose -4*j = 5*h - 238, -142 = -k*h + 2*j - 36. Suppose 0*d + 2*d - h = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3*0.320157.\nAnswer: 2.0169891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 62*l + 16*l.\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 156, 334, 572, 864, 1204?\n\"Answer: -w**3 + 39*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190956 or 1937?\nAnswer: 1937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -6, 1, 14, 33?\n\"Answer: 3*b**2 - 8*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/18*((-637)\/26 + 2). Let b(p) = 3*p + 7. Let o(m) = -2*m - 4. Determine f*o(u) + 6*b(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4168 divided by -770?\nAnswer: 2084\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.637014 millilitres in litres?\nAnswer: 0.000637014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832361 is divided by 805391.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, j: 6, n: 2, t: 2}. Give prob of sequence znjt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 10 + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/41, -3, 2\/15, -199.29?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 159, -1.\nAnswer: -20, -1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 19830 in decreasing order.\nAnswer: 19830, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 5*i = -59, 2*i + 11 = j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeeueee. What is prob of picking 2 u and 2 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/((-3)\/(5 + -2)). What is the fourth smallest value in 4, w, 0.2, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -119. What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*o - 1324*o + 840 = 4*n, -3*o - 63 = -n + 42 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -25. Let j = 22 + g. Solve 4*f = j + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -52. Suppose 5*o + l = -3*h, -30 = 5*o - h + 8. Is o <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 429 and 143793?\nAnswer: 1581723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007052444 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 1165 + 1775. Let r be ((-3)\/6)\/((-5)\/j). Let i be (21\/r)\/(2\/14). Solve g = i - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4490 is divided by 1431.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 2854\nAnswer: -1712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -413 - 4226?\nAnswer: -4639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -220 (b) -3 (c) -4 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181190 and 0.004?\nAnswer: -724.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -422*j - 5909. Give s(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose 4*v + c - 23 = 0. Suppose v*o = -0*o + 35. Calculate the remainder when 13 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154860, -4619461, -10393782, -18477811, -28871536?\nAnswer: -41574945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*v = -110, 3*v = -3*n - v + 75. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 32 - 11 + 39 - 5*v + 3*v. Let l be d(19). What is the highest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132245667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 3. Let k = 23 - z. Calculate the least common multiple of k and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 + 1329*s**4 - 13041*s**3 + 22107*s**2 - 10392*s = 0. Calculate s.\nAnswer: 0, 1, 8, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/93)\/(1\/(-51))*5520\/1104?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/40 + 107*y**5\/15 + 47*y**4\/2 + y**3\/6 + 402*y**2. Find the second derivative of j(n) wrt n.\nAnswer: 18*n + 856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214690 is divided by 603.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 16*u = -525. Let l = 83 + u. Calculate the remainder when 36 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, 1.79, -1\/2729 in descending order.\nAnswer: 1.79, -1\/2729, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1721 in -3\/668, 2\/5, 4\/9?\nAnswer: -3\/668","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + (-1 - 0 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -36*h**2. Calculate a(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -2862\/13. Suppose 0 = -25*k + 29*k + 20. What is the third smallest value in k, 34, r?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-1)\/1 - -6). Suppose -3 = 2*f + t. Let s(x) = -x**3 - 3*x**2 + x + 4. Let q be s(f). What is the greatest common factor of q and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7531630 is divided by 195?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose 0 = 254*v + 1103 - 2881. Solve 0 = f + n - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 207054, -0.3?\nAnswer: 207054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:15 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56585*r - 56514*r = 1988 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6*p - 54 = 0. Let t(q) = -q**3 + 11*q**2 - 2*q - 10. Is t(p) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*(-2)\/((-4)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (55\/10)\/11*6\/(-8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20538 and -103.\nAnswer: 2115414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**2\/2 + 12*x - 6. Let c be j(7). Solve 3*q + 4 = -c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -109, -244, -433, -676, -973, -1324?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2036 divided by -6.\nAnswer: 1018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f. Let x(i) = -707*i. What is r(x(y))?\nAnswer: 9191*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10218 = -g + 394*q - 390*q, -2*q - 6 = 0. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**2 + 35*p - 26. Let j(i) = 3*i**2 - 7*i + 5. Let q(o) = 11*j(o) + 2*l(o). What are the prime factors of q(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2996 + -2997. What is the nearest to h in 3, 0.3, 122?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7286.\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 2*i = 5*z + 51559, -30927 = -3*z - 4*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 10 = 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 598 and 153?\nAnswer: 91494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + a + 179 = 0, -3*o + 2860091*a - 2860089*a - 97 = 0 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h - 17. Let t(v) = -4*v + 9. Calculate -6*l(u) - 11*t(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4*3*8. Suppose -9*q = -1451 + 263. What is the highest common factor of q and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -42600*b**4\/7 - 67779556*b**3\/7 - 72437020*b**2\/7 - 4738224*b\/7 - 38160\/7 = 0.\nAnswer: -1590, -1, -3\/50, -2\/213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**3 + 459*f**2 + 336*f + 285. What is l(-41)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31805.64956 and 759.\nAnswer: 32564.64956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1045515 and 1045511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 - y**3\/3 + 5*y + 8. Let b(q) = -12*q. Calculate the remainder when b(-1) is divided by p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*34\/35224*-35?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/1680 + 29*w**6\/960 - 4*w**5\/15 + 49*w**4\/48 - 2*w**3 + 218*w**2. Factor b(h).\nAnswer: -(h - 24)*(h - 2)**2*(h - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 9 - 3 + 8*t to b + w*t and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2 (c) 4 (d) -62 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 + 5217*b**2 + 2 - 5216*b**2 - b**3 - 42*b - 5*b**4 as m + z*b**2 + l*b + q*b**3 + h*b**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbsbbsbbsssbbssbsb. What is prob of sequence bbbb?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/42 + (-611)\/(-91)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(9\/5))\/v*v\/(v**16\/v))\/((v**(-1\/5)*v)\/v**12) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*d**2 - 82*d**2 - 14082*d**3 + 164*d**2.\nAnswer: -14082*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h = -28*h - 27*h - 96 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 275740, 1103115, 2482074, 4412623, 6894768, 9928515, 13513870?\n\"Answer: m**3 + 275786*m**2 + 10*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1406 divided by 6\nAnswer: 703\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(621\/(-18))*(-3)\/20\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.3. Let i = -0.1 - -0.14. Let x = 0.96 + i. Which is the smallest value? (a) l (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**18*r*(r**(-2)*r)\/r)\/(r**(-1\/8)\/((r*r*(r*r*r*r**11*r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 7.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 726 = 40*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*q + 10, -2*w + 3 + 7 = -5*q. Solve -w*l = -3*u - 15, -20 = -2*l - 0*l + 4*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 2\/(-4). Let i = 976\/3367 + -2\/481. What is the closest to j in i, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646611 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/83, 0.\nAnswer: -1\/5, -2\/83, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by -5.\nAnswer: -161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -2, -3381?\nAnswer: -3381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 - 3*j + 1. Let a = -93 - -96. Let f be i(a). Is 0 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -222, -332, -442, -552, -662?\n\"Answer: -110*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 + 624*q**2 - 32452*q + 562432. Let v(j) = 7*j**3 - 624*j**2 + 32451*j - 562432. Let d(r) = 4*v(r) + 3*y(r). Suppose d(w) = 0. What is w?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -31 + 111 - 22 - 28 - 17*o - 21. Let d(b) = -26*b + 13. Give -5*d(j) + 7*r(j).\nAnswer: 11*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-17)\/(-51))\/((-158)\/312). Let z = -2\/237 + k. Which is the closest to 0? (a) z (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/(-6)*(-4)\/(-6). Suppose -8*k + 3 = -t*k. Solve -k*j - 3*i + 7 = -5, 5*j - i - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2284360*j - 28650. Let q(b) = 957*b + 12. Let o(f) = 2*m(f) + 4775*q(f). Let h(s) = -3*s. What is o(h(r))?\nAnswer: -2865*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9801005411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598375 and 1750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201204 (base 16) to base 15.\nAnswer: -2b7b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 84 = 2*m - 112, -4*o - 6*m + 84 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2544)\/38584)\/((-2)\/52).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b + 36*b**2 - 45*b**2 + 2*b wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 3*b**2 - b**3 + 6*b**2.\nAnswer: -b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1262969 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 452349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3134.854ug to milligrams.\nAnswer: 3.134854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 10*y + 9. Determine r(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + 2)**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 972 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2 - 2 + 4*q + 5. Let i be (-2)\/4 + 0 - 2\/4. Determine c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -24, -5\/7, 2, 2\/3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108416 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-35)*(f*f**0)**43 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1210, -4911, -11072, -19687, -30750, -44255?\n\"Answer: o**3 - 1236*o**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 55*r**3 - 3*r**2. Let f(o) = o**3 + o**2. What is -3*f(l) - i(l)?\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -2*d**3 + 1\/20*d**5 - 1\/8*d**4 + 0*d + 2*d**2 + 0. What is the units digit of g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47169084 divided by 68\nAnswer: -693663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 13*j**2 + 6*j. Let w be f(-7). Find the second derivative of 0*i + 7*i + 3*i - 20*i**4 + w*i wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3) + 7 - -7. Find r, given that -42*r**2 + 80*r**2 + 4*r + w*r - 48*r**2 - 2*r**3 + 24 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 39*c**2 - 27*c + 6. Calculate x(12).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.07 + 16. Let m = g + 10.07. Let f = m - 10.0064. Round f to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4531 = -1744*x - 1758 - 23701 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wknkrw. Give prob of picking 1 n, 1 w, and 2 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 23779448?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7)\/b**(-4\/17) assuming b is positive.\nAnswer: b**(140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598985.\nAnswer: 5, 13, 17, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 7*i**2 + 5*i**4 - 2*i**3 - 13 - 20*i - 18*i**2 - 5*i**5 + 27*i**3 = 0. Calculate i.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33884 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 times -52.4322?\nAnswer: 27.789066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 + (3 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u + 18 = 0. Let s be (-1 - -3) + (-1 - u). What is the highest common factor of s and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvvt when four letters picked without replacement from tvyfttyytyttyjvyyyjt.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4*r**2*z**2 - 74*m**4*r**2*z + 9*m**2*r**2*z - 2*m**2*r*z**2 + 2*m*r**2*z**2 wrt m.\nAnswer: 24*m*r**2*z**2 - 1776*m*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 3*g**4 + 22*g**4)*(-9 - 11 + 2).\nAnswer: -378*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) + 588\/9. Let t = 134 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 96*j + 71. What is o(49)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/182 + 11\/(-143)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31153.28km?\nAnswer: 3115328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1171590 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - q**2 + 2*q + 8. Give f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2633.\nAnswer: -3\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276.43 - 3.57. What is the second smallest value in 3\/5, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1870 and 84898.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*r + 8, 5*r + 22 - 9 = 3*n. Let l = 3034\/3 - 1011. Put l, n, 0 in ascending order.\nAnswer: 0, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128035 divided by 2?\nAnswer: 128035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682682549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 - 22 = 5. Let p(z) be the second derivative of 19\/2*z**2 + 0 - 1\/3*z**4 - n*z + 0*z**3. What is the derivative of p(v) wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60593 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4672\/50)\/(30\/(-25)) + ((-532544)\/2355 - -226)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 7*a**5\/4 + a**4\/6 - a**3\/3 + a**2 + 3*a + 6. What is the remainder when 110 is divided by u(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaqm when four letters picked without replacement from {m: 1, a: 2, b: 6, h: 2, q: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757860749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22061277?\nAnswer: 3, 7, 350179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5305822451.\nAnswer: 17, 312107203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 + 3 = 0. Solve -3*g + 2*i + m = -g, 15 = -5*g - i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1931 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbbvbbsbbsbbv. Give prob of sequence bs.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8864655 and 28647?\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 0)*6 + (sqrt(3) - 6*sqrt(27)) + 0.\nAnswer: 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11687, 80, 4 in descending order.\nAnswer: 11687, 80, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 25*l - 1344. Give m(54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 take away -6?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:23 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3041142 (base 5) to base 2\nAnswer: 1100000110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**9\/5040 + 19*u**6\/720 + u**5\/5 + u**2. Let s(b) be the third derivative of q(b). Find the first derivative of s(y) wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10118 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18481, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 35311.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*x = -1211*x - 7908 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3\/4 - 74619*v**2\/2 + 1119960*v = 0.\nAnswer: -49776, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -31 - (2 + -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -150, 2\/23, -1.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872921, 1745844, 2618767?\nAnswer: 3491690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -161.1, -0.1.\nAnswer: -161.1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3052.32 + -3052.1. Which is bigger: l or -141?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14642 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 184 = 264 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - 10*l - 10. Let i be a(-4). Let h(t) = t + 7. Let o be h(i). Solve -x - 2*c = -1, o*x - 3*c + 1 - 19 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 40 = 2*v. Calculate the lowest common multiple of (9 - 3)*800\/75 and v.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zznnnznntntnzznnnnz. What is prob of picking 1 n and 1 z?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024051 (base 6) in base 13?\nAnswer: -19a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -h - 9. Let a = -7 + 10. Suppose -38 = -5*w - a*s, 3*w - 24 = -w + h*s. Solve 0 = 4*r - 3*m - 22, 2*r - 3*m = 7 + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -21) + 11 + -24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 35*f**2 + 75*f + 45.\nAnswer: 5*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35800814 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxixnf. Give prob of picking 1 x and 2 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 314\/(-324) + -1 + 2. Let r = -13\/324 + n. Let d = 113\/540 + r. Which is the biggest value? (a) d (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 9130 - 9007. Let f(p) be the second derivative of -11\/2*p**c + 0*p**4 - p**5 + 0 + 0*p**2 - 27*p. What is the second derivative of f(o) wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v. Suppose -5*p - 3*k + 35 = 0, 0 = -3*p - 0*k + k + 7. Let d(m) = -8*m - p*m + 14*m. Calculate y(d(s)).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and -11057134.672.\nAnswer: -11057134.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4473357 is divided by 2090.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.006 + -0.61. Let s = g + -0.166. Let w = s - -0.01. What is w rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6362*b - 26298 - 18236 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 0*u + (-3 - 1 + 1)*(-27 + 2*u + 27))*(12 + 11 + 1) + 7*u - 3*u - 2*u.\nAnswer: -118*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 13*f**2 - 7*f + 113. Determine s(-12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 4*r**2 + 2*r - 9*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 221 = 5*n, 5*r = -3*n - 103. Let i(a) = -15*a + 2. Let y be i(-4). Let d = y + n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/43)*(((((s*s\/(s*s*s**(7\/4)))\/s)\/s)\/s)\/s)\/s)\/(s\/(s*(((s*s**15*s)\/s)\/s)\/s*s)*s*s**(-11)))**8 assuming s is positive.\nAnswer: s**(6286\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87743 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -1704.4?\nAnswer: 1704.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3) - -2)\/((-10)\/(-12)). Let q(n) = -n**3 - 6*n + 9*n**h - n + 5*n - 1. What is q(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*s, -1227*x = -1222*x - 2*s - 49 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -79, 30, 139, 248?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1677.85 + -0.05.\nAnswer: -1677.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 898 + -21. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f*f*f\/f**(-5)*f*f**2*f*f**(-3\/8)\/f)**(-22))**44 assuming f is positive.\nAnswer: f**(-8349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five sixths of a century?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69294, 138616, 207938, 277260, 346582, 415904?\nAnswer: 485226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5537622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is -628 (base 10) in base 8?\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*f + 16, 3*s + f + 6 + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.917, 2, 11, -15, -1\/11, 0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*n**2 - 163*n**2 + 89*n**2 - 109.\nAnswer: -n**2 - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 4. Let j be y(6). Suppose 0 = -v - 3*w + 63, j*w + 2 = -0*w. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135296 is divided by 237?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4454108 + -23883.\nAnswer: -4477991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73449357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.478 + 14.478. Sort v, 75, 8, -1, 1.\nAnswer: v, -1, 1, 8, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -302. Calculate the remainder when b\/(-1334) + 640\/46 is divided by 2\/3*30\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-10) + 2\/(-5). Let d = 1 - -4. Let j(p) = -p**3 + 5*p**2 - 3*p. Let o be j(4). Put i, o, d in decreasing order.\nAnswer: d, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.118 - -0.1167. Round r to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 361 = -3*y - 2*r, 0 = 2*y - 5*r - 328. Suppose 0 = -7*a + 4*a + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4750*q + 38004. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.019 * -32312.\nAnswer: 32925.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 233984\nAnswer: 1\/116992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b57 - 19545?\nAnswer: -75aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 11*s + 2. What is the smallest common multiple of 22 and z(-9)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + (-36 - -44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31567 - 20794. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + s - 3)*(-2*s - 3*s + 3*s) + 5 + 52*s**2 + 7*s**2 - 7 in the form c + b*s**2 + u*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021234 (base 5) to base 9.\nAnswer: 48756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -4.7. Which is the third biggest value? (a) m (b) 0.2 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:38 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -17 (c) 11\/4 (d) -3 (e) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24445908 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9*w + 12 = 10*w, -4*w - 4 = 5*o. Which is the third smallest value? (a) -51 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 3. Let y be (9\/v)\/(1\/154). Suppose 3*o + 2*w - w - y = 0, -5*o - 5*w + 385 = 0. Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five halves of a microsecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 29406696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 22*q - 4*m = -11868, -3*q = 3*m - 11871. List the prime factors of q.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10928*k + 1321*k + 537*k + 8*k**2 + 2.\nAnswer: 8*k**2 + 12786*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*y + 2*v - 62, 4*v = -3*y + 35. Solve 68*m + y = 55*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d*d**3))*d\/d**(-1)*d*(d**(2\/5)\/d)**50*(d\/((d*d**(-7))\/d)*d**(-1))**(-47) assuming d is positive.\nAnswer: d**(-351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - a - a + 11*a - 3*a - 3*a + (0*a + 0*a - a)*(-4 + 1 + 2) to v + j*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 303570 = 8*w. Let d = w - 38729. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38514326689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*u - 5*c - 3590 = 0, -3*c + 0 = -c - c + 3*c + 1 - 1 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, b: 2}. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2 - -2) + -40. Let r = -75\/2 - z. Which is the smallest value? (a) r (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117326 is divided by 39106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 178332 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:43 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -185. What is the remainder when 59 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:37 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 135*b + 1698. Let w be g(-14). Put w, -1, 0, -10 in decreasing order.\nAnswer: w, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + 29*y**2 + 26*y + 4. Let h(u) = u**3 - 10*u**2 - 9*u - 1. Let a(j) = -17*h(j) - 6*s(j). Let c be a(5). What is the closest to 1 in 0, c, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 99478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 1:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 123 = 26*k. Which is smaller: k or 26\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47231, -1, 0 in decreasing order.\nAnswer: 47231, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r + 698. Determine f(-39).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672285811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + 7 - 7 + (r + 2*r - r + 3*r - 7*r + 2*r + (-2 - 4 + 5)*(-7*r + 4*r + 4*r) + 3*r + 2*r - 3*r)*(21 - 24 - 37).\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1312 or -1314?\nAnswer: -1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -5*j + 3*r, 3*j - 3*r = 0. Is j\/(-3) - 406\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 51*z**2 + 84*z - 1665. Determine y(17).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 31*w**6\/30 + 17*w**3\/3 - 15*w. What is the second derivative of q(r) wrt r?\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m**2 + 29*m**2 + 19*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*z + 5990 = 0, 17*z - 5975 = -5*c + 15*z. Suppose -4*k + 5*f = -1304, -3*k - 215 = f - c. List the prime factors of k.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82\/14 - (-3)\/21. Calculate the greatest common factor of q and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414596 times 28\nAnswer: -11608688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.648 years?\nAnswer: 427.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 25. Let m = x + -13.2. Let f = m + 21. What is the third smallest value in -6, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4793714859 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101211212122000 + -100?\nAnswer: 1101211212121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 56022*u - 261538707.\nAnswer: -3*(u - 9337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 15. Let z(t) = -5*t**2 - a*t**2 + 2*t**2 + 3*t**2. Let w(c) = c**2 + c. Let p(y) = -4*y**2 - 3*y. Let i(r) = -p(r) - 3*w(r). Calculate i(z(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-142)\/66 + (-287)\/(-123). Suppose 0 + 28\/11*o + 26\/11*o**2 - x*o**3 = 0. Calculate o.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(54)\/sqrt(2))*-5)**2.\nAnswer: 600*sqrt(3) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13648.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u. Let c(w) = 105*w - 3965. Let f be c(38). Let d(y) be the third derivative of 0 + 1\/60*y**5 + 0*y**4 + 0*y**3 + f*y**2 + 0*y. Give z(d(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/5)\/((-6)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -17*v - 246. Let o = 24 - -79. What is the remainder when o is divided by u(-16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-188)\/(-16). Let u be (-2)\/(-5) - (-66)\/10. Let a = u - l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + i - 16 = -3*i, -4 = l - i. What is the third derivative of -2*u**3 + u**2 + l - 4*u**3 + 0 wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 402?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -33998477?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express -805*x - 6*x**3 + 0*x**3 + 803*x + (-10 + x + 10)*(-2*x**2 + x**2 - x**2) as w*x + u*x**2 + o + k*x**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89051076*n + n**2 + 89051076*n - 78*n**3.\nAnswer: -78*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-3)*((-546)\/11466)\/((-4)\/(-54)*-3)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 - 95\/(-25). Suppose -1 = s*m + 11. Let o = -1\/9 + -7\/18. Which is the third smallest value? (a) m (b) -11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-1) + 13 + -8. Is 61 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11 - 478*j**4 + 838 + 612*j + 477*j**4 + 819 wrt j?\nAnswer: -4*j**3 + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from xhwvgwhgxxcgvgggwx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 b when three letters picked without replacement from {s: 2, m: 1, x: 3, k: 1, b: 1, j: 4}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4)\/((-2)\/(-16)). Let l(z) = -4*z + 3*z + 7 - 13 - v*z. What is the units digit of l(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.231 - -0.269. Let d be ((-8)\/30)\/(2\/3). Which is the nearest to -2? (a) 14 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*a - 20 = 0, 7*v - 45 = 2*v + 4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 - 3. Suppose 3*l - 9 + 24 = 0. Let p be v(l). Let m = 73 - p. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 10*g + 24. Let n be q(7). Factor -5*d**3 - 3*d**3 + 29*d**2 + 6*d**n - 25*d**2.\nAnswer: -2*d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 + 54. Let f be w\/(-25) + 1\/5. Solve -2*l = 2*b - 3*b + 1, 0 = 4*l - 4*b + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002520737666 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 + 3*w - 12. Let q(v) be the first derivative of -v**2\/2 + 4*v + 3. Calculate the remainder when t(9) is divided by q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -1 - -2)\/(-1). Let w = 3 - n. Differentiate -2 - 5*u**3 + 3*u**3 + w with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -15. Let v be 4\/w - (-39376)\/28. Let j be v\/(-14) + (-54)\/(-126). What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -24. Let b(j) be the second derivative of 5*j**3\/2 - 9*j**2\/2 - 2*j. Let f(o) = -2*o - 4 - 4*o + 13*o. What is s*b(r) + 9*f(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23.6. Which is the second smallest value? (a) u (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 + 4)*(-82*f - 90 + 90)*(-2*f - 2*f + 5*f).\nAnswer: -984*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*o + 353*o = -197210965. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 2 + 6 - 7 + 3 - 2*l. Let p(t) = 3*t + 5. Determine -3*p(x) + 4*r(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let a(b) = b - 1. Let y(z) = a(z) - l(z). Let p(m) = -6*m + 1. Give -2*p(s) - 14*y(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-10 - -3) + 3 - (2 - 1)) - -34?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**3 - 3*i**2 - 3*i - 3. What is d(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1 + 5083*r + 1 - 2451*r - 2526*r. Let y(v) = -21*v. Determine d(y(g)).\nAnswer: -2226*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508751 and 482.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9748 - 9745. Suppose b - 12 = -5*o, 2*o = -3*b - 2*b + 14. Solve 2*r - 7 = -2*w + f, -6 = 2*r - b*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:43 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-168)\/(-35)))\/1*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69334293257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/u**(-3))**40 assuming u is positive.\nAnswer: u**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -740, -1736, -2732, -3728, -4724, -5720?\n\"Answer: -996*g + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 15*b**3 + 52*b**2 + 36*b = 0. Calculate b.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 890313.6 to the nearest 1000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + sqrt(136)*-5*1))\/((sqrt(24) + sqrt(24)*3)\/sqrt(3) + sqrt(8)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {k: 3, v: 8, b: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*p - 2*p = -3, -4*p + 15 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.043322 in 0.5, 0.4, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - j + 3, 0 = -y + 6*y - j - 7. Let b be 0 - (y + 1 + -6). Let z = b + -5. Which is bigger: -5\/8 or z?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -145, -143, -141, -139?\n\"Answer: 2*y - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (14 - (29 + -37))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 - 25*a**4 - 235*a**3 + 525*a**2 - 270*a = 0.\nAnswer: -6, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i, 3*s - 2*s = -5*i - 102. Let w(v) = v**3 + 13*v**2 - 151*v - 10. Let p be w(7). Let z = p - s. Solve 0 = 4*d, -u + z*u = -4*d + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000793119216 rounded to seven dps?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:11 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90d + 2?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 6) in base 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/108*16\/(-412)*(-12 + 12 + -1).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532124?\nAnswer: 2, 151, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1107, 2\/5, -4, -21?\nAnswer: 1107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 23.9. Sort c, 5, 0 in ascending order.\nAnswer: 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 4892*i**2 - 3001218*i - 11926728.\nAnswer: -2*(i + 4)*(i + 1221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d**5 - 4688*d**4 + 152524*d**3 + 3758824*d**2 + 7942912*d - 11849600 = 0 for d.\nAnswer: -14, -25\/7, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 74*p - 124. Let k be c(-17). Calculate the highest common divisor of k and 1911.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:11 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.899 + -0.299. Let j = y - 5.6. Let v = -10 + 16. Which is the third smallest value? (a) v (b) -0.4 (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187937 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0*d - 40 = -0*w - 3*d, 72*d - 167*d + 56*d + 63*d = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/((-6)\/8). Suppose -2*o = 5*k - 15, 9 = 2*o - 0*k - k. Let t = -0.1 - 0.1. Which is the biggest value? (a) o (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 130672.5 kilometers?\nAnswer: 130672500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -5, 3, -1 in descending order.\nAnswer: 3, -1, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 58498349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2469.9 + 2496.407. Let a = z - 27. Let m = a + 0.49077. 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 k(q) = -5*q - 2. Let h be k(-1). Let g(x) = h + x**2 + 0*x**2 + 6*x + 5*x - 8*x. What is g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6297 divided by -27716\nAnswer: -6297\/27716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 703 in -0.4, 33, -0.174?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 + 5*z + 4. Let s(l) = -23*l**2 - 16*l - 11. Let a(g) = 11*r(g) + 4*s(g). Let j(f) = f**2 + 2*f. Give -4*a(w) - 18*j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 - -3. Let b = 816 + -44871\/55. Let i = 1\/55 + b. What is the smallest value in z, i, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131112132 (base 4) in base 2?\nAnswer: -11101010110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -539 < -540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/8 - 37005*o**3\/8 - 168825689*o**2\/4 + 10886035548*o - 10843824500 = 0.\nAnswer: -18628, 1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 + q + 5880. Let x be m(0). Suppose 54*h - 59*h + x = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from duy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 94 = 68. Let a be (y\/54)\/(3 + 78\/(-27)). Let p(c) = c**2 + 1 + 0 + 2*c**2 + 2*c. Determine p(a).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3896990 divided by 5\nAnswer: 779398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 638016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3659760, -3 in increasing order.\nAnswer: -3659760, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12887, -25949, -39007, -52055, -65087?\n\"Answer: r**3 - 4*r**2 - 13057*r + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 20*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 - 6*u - 7. Let k be m(7). Suppose -5*q - 306 + 936 = k. Let b = 246 - q. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87159\/8108 - 1\/4054. Calculate the common denominator of 83\/2 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11 - 11*r - 6*r + 15*r - 3*r. Let d(i) = 10*i. Give d(g(n)).\nAnswer: -50*n + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1712, -6765, -15176, -26939, -42048, -60497, -82280, -107391?\n\"Answer: q**3 - 1685*q**2 - 5*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28103 and -1.\nAnswer: 28103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.2 take away -33?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1963871, 3927739, 5891613, 7855493?\n\"Answer: 3*f**2 + 1963859*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 6. What is the common denominator of h\/(-6)*41\/33 and (-1)\/2*6\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (2\/5 - 2). Let f = -86\/5 - -17. What is the third smallest value in i, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and 56\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -9*j - 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1532 - -179246\/117. Are -1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 0.8. Let b = 45.7 + -41. Let x = b - 3.7. What is the nearest to x in 3\/2, l, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -2 + 1*-4. Let w(g) = -g**2 - 15*g + 18. Let t be w(-16). Suppose -t*h = -2 - 6. Let i(y) = -y + 1. Let l(d) = -3*d + 2. Calculate h*i(b) + u*l(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5238 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*h - 4, 0 = -3*d - 2*h + 3 + 11. Let z be ((-2)\/2)\/((-2)\/(-8)). Let k = z + 7. Solve 27 = -5*f - 3*r, -k*f + d*r + 3 = -4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7845500 divided by 301750.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ca2b - 3?\nAnswer: -1ca2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2609403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011001 + -10011110?\nAnswer: -10010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**3 - 2*y**2 - 1. Let x be h(2). Let d = 120 + x. Which is smaller: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u + 165. Let q be y(0). Suppose -g + v - 30 = -2*g, -4*g + q = -5*v. Let n = -53 - -93. Solve 3*c = -5*d + n, -2*d - g = -5*c - 4*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**3 + 82*g**2 + g - 100. Calculate t(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 - 4*k**2)*(2 - 7 + 2) + (4*k - k - 2*k)*(2*k + k - 2*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-306496)\/(-36) - 2\/(-9). Let x = 13379 - g. Suppose 5*h - x = -0*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -3353725?\nAnswer: 3353735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/565 + -1168\/10735. Let v = 8.3 - -0.7. Let r = -8.5 + v. Which is the second biggest value? (a) -1 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6100.99996922 + -6101. Round k to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 841, 5 in increasing order.\nAnswer: 3, 5, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-112) - (120\/7)\/(-4). Suppose -5*b - w*k = -6*k - 4, 5*k = b + 13. Solve 3*p - 4*s + 5*s = b, 2*p - 24 = 5*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 2*x - 8*x - 4*x to m*x + q and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 4*n - 1. Let r(j) = 5*j**2 - 7*j + 2. Let b be (10 - 18)\/(-3 + 1). Give b*r(p) + 7*x(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -1114, -1671, -2228, -2785, -3342?\nAnswer: -3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-80)*-5*(-2)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, -3, 0.4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(21)\/(sqrt(252) + sqrt(7))).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:39 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7802? (a) 0.5 (b) 4 (c) -4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1178, 1177, 1170, 1151, 1114, 1053, 962?\n\"Answer: -y**3 + 3*y**2 - 3*y + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(105))\/sqrt(7))\/(1*sqrt(363)) - (5*sqrt(120)\/sqrt(4))\/sqrt(486)) + 4)*3.\nAnswer: -64*sqrt(5)\/33 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*m + 28. Let n = m + -20. Let s(k) be the second derivative of k**5\/10 + k**4\/12 - k**3\/6 + k**2\/2 + k. Give s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + j**2 + 0*j**2 + 15519 + 4*j.\nAnswer: j**2 + 4*j + 15519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12476301, -12476299, -12476297, -12476295?\nAnswer: -12476293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*s - 90460 = -4*c + 85*s, -s = -5*c + 113061. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(1 + 2*x**2 + 2*x**2 - x**2)*(292 + 363*x**2 - 292).\nAnswer: 2178*x**4 + 726*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpgogp. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -329*h**2 - 7046*h**3 - 3467 + 7048*h**3 - 331*h**2 wrt h?\nAnswer: 6*h**2 - 1320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*i**3 + 2\/5*i - 1\/5*i**4 + 0*i**2 + 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, 0.137, -1, 1\/2, 1\/24 in decreasing order.\nAnswer: 1\/2, 0.137, 2\/37, 1\/24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.4 (b) 0 (c) -74 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34964900 to the nearest one hundred thousand.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:02 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 160. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 + 464 + (1 + -9 + 4 - (1 - 11)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmmn when four letters picked without replacement from {z: 4, m: 4, y: 3, l: 1, w: 1, n: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39752304 and 9?\nAnswer: 119256912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(20))*-2)\/(sqrt(16)\/sqrt(144)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 963*k**2\/2 + 831233*k\/4 - 208290.\nAnswer: (k - 1)*(k + 655)*(k + 1272)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 5 (c) 39\/14 (d) -0.4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - l - 8 = 0, -4*l - 78 = 18*w - 16*l + 7*l - 5 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -3.4 (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 9 - 2*v**2 - v - 7)*(13*v + 5*v**2 - 20*v + 8*v**2) to x*v**3 + o*v**4 + s*v**2 + n + k*v and give s.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -953348 by 44.\nAnswer: -21667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w - 16*w + 23*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37606*y - 15 - 156*y**2 + 15.\nAnswer: -156*y**2 + 37606*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -41*p**2 + 696*p + 1. Let t(c) = 19*c**2. Calculate d(t(z)).\nAnswer: -14801*z**4 + 13224*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 - -1.4. What is the third biggest value in p, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -163. Suppose -2*j - b = 4*b + 155, d = -j - 2*b. Let r = j - -155. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5880 or -5881?\nAnswer: -5881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375573 and 1389?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 83520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + 7\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:51 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 6764?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 3*j**2 - j + 3. Determine n(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17292017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u**2\/2 + 9778444*u - 8889490 = 0 for u.\nAnswer: 10\/11, 1777898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/4994724 and 181\/30?\nAnswer: 24973620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 498*j**3 - 5.\nAnswer: 498*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27290.139 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/48 + 9*o**7\/35 + 43*o**6\/60 - 3*o**5\/5 - 79*o**4\/24 - 3*o**3 - 31*o**2 - 101*o. Solve h(r) = 0 for r.\nAnswer: -1, -2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3892 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from ctbcttsctcsdtcsss.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 18 - 63)*(0 + 0 + 3*f).\nAnswer: -180*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 7. Let m(x) = x**2 + 25*x + 49. Let c be m(-23). Let l(d) = -4*d + 2. Let y(f) = c*s(f) + 4*l(f). Let t(h) = -h. Calculate y(t(q)).\nAnswer: 7*q + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 51917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3690.5073 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 - 1 + 0 - 4*j. Let h(i) = 5*i + 2. Suppose 2*a + 3 = -f, -3*f + 9 = f + a. Let m be -1 + f - (-40)\/(-8). What is m*h(t) - 4*w(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) - (-2 + sqrt(147))) + -4)*2.\nAnswer: 8 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -1, 54 in descending order.\nAnswer: 54, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 - 356. Solve -4*o = -v*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0358? (a) 0.1 (b) -0.3 (c) 1\/4 (d) 1.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -35\/12*m**3 + 3\/4*m**5 + 15\/4*m**2 + 5\/84*m**7 + 5\/12*m**4 - 5\/12*m**6 + 20*m + 0. Solve p(b) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l + l = 0. Let h(p) = p**2 - 30. Determine h(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10574 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2679*(-6)\/(-54)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3315700 and 40.\nAnswer: 6631400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**3 - 35 - 17*k + 35 wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (9 - 24)) + (-6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2545353 years to decades.\nAnswer: 0.02545353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -c + 220. Let s = -496 + c. Calculate the smallest common multiple of 30 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 9, -4, -0.11, 74?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 3*q - 6*q. Let t = q - 38. What is the remainder when 37 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 3*q + q)*(3*q - q - 3*q)*(0 + 4 - 1) + 11*q**2 + 55*q**2 - 12*q**2 in the form o*q + n*q**2 + i and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79247\/1140 - -1323\/19. Calculate the common denominator of 147\/108*4\/14 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 9959.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912936867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (1424\/(-28))\/4)*-7. Let m(i) = -109 - d - 33*i + 217. Is 22 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 92 + 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3 + 0)*-4. Let l be 2\/a + 13\/2. Solve 2*v - l = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 11488*f + 832325. Determine s(72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200 + 11?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Let d be (-5)\/((u - 6)\/4). Suppose -97 = -4*b - f, -2*b - d*f = 3*b - 110. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.318 - -20.018. Let t = -70.3 - m. Let b = 89 + t. What is the nearest to b in -1, 1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((sqrt(320) - ((sqrt(320) - (sqrt(320) + 2 - sqrt(320) - sqrt(320))) + 2 + sqrt(320))) + sqrt(320)))**2.\nAnswer: 40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90297 + 90298. Let x(t) = -t**2 + 9*t - 4. Let u be x(6). Solve 4*k = -m + p - 24, -2*m + u = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 1, t: 5}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14*f = -33. Suppose 3*c - 22 = -5*j, -f*j + 0*j + 17 = -2*c. Solve j*a = -3*p + 27, 2*a - 3*p - 2 = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 7)*(6*h**2 + 2*h**2 - 5*h**2).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 24*u - 26. Let p be (-6)\/(-10) - 4\/(-10). Let i(j) = 18 - 5 - p - j**u. Let w(t) = -3. What is 3*i(z) + 12*w(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361 and 2197711?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36516 (base 12) in base 9?\nAnswer: -121510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-51)\/(-2))\/((-44)\/(-16) - 2). Solve -5*x = -15, 4*f + 5*x - 1 = j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*w - 403*w - 44 + 200*w.\nAnswer: -2*w - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2210 - 2209.92. Which is the closest to -0.2? (a) 0.1 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1025*x**9\/504 + 241*x**5\/20 - 1113*x**2. What is the third derivative of s(d) wrt d?\nAnswer: 123000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 671*y**2. Let d(i) = 179341*i. Determine u(d(v)).\nAnswer: 21581503362551*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2747 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33624189.1161 - 33623887.116100949. Let y = t + -302. Round y to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 11*b**2 + 12*b + 7. Let h be c(-8). Let p = -170 + 100. Let m = h + p. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 + 309*d - 157*d + 182 - 155*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 2*y - 330. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*q - 39*q + 338 = -23*q. Let f be (-5)\/(-2)*(-16)\/(-10). Solve 2*i - f = -q*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251611.1131 rounded to the nearest ten?\nAnswer: 1251610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let g be (-219)\/(-292) - 2*(-2)\/(-4). Which is the second smallest value? (a) -0.4 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 868, 1739, 2610?\nAnswer: 3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-2*sqrt(18)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 740 - -21131. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.3. Let f be (2\/(-36))\/(1\/(-2)). Let v = -1.972 - 0.028. Which is the closest to n? (a) -0.4 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrydcy. Give prob of sequence ydc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 24. Suppose 2*b - 6 = 16. Let n = b - i. Solve l + a = -3, 3 + 3 = -2*l + n*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}