diff --git "a/data/dm_maths/full_data_2/10451_11255.jsonl" "b/data/dm_maths/full_data_2/10451_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10451_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(d) = 23*d + 2. Let o be x(3). Suppose -5*n + o = -p, 0 = 2*p - 6*p - 4. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuujuuuujugujlugguu. Give prob of sequence gj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - -1) + -12 + 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 - 48236*t + 14110800 = 0.\nAnswer: 300, 11759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 17*d**4\/12 + 7*d - 6. Let z(u) = -15*u**2. Give z(p(x)).\nAnswer: -4335*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*y + 520, 2*p = -3*y + 391 - 79. Suppose 3*x + 153 = -3*f, 141 = -5*f + 5*x - y. Let s = f - -82. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 462 + 283. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 339*j**4\/4 - 1103*j**3\/6 + j**2\/2 + 45*j - 2. What is the second derivative of c(x) wrt x?\nAnswer: 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 52 + 38. Suppose z = 12*a + 3. Let h(v) = -5*v**2 - 4*v - 4. Let t(p) = p + 1. Determine a*h(y) + 4*t(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/17 (b) -1\/7 (c) 5590 (d) -0.05 (e) -5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**2*p - 1192752*h**2 + 13*h*p - 8971*p with respect to p.\nAnswer: 3*h**2 + 13*h - 8971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/8)\/(-5) + (-1242)\/(-3312).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 17*m - 8. Let n be x(8). Suppose n = -2*y + 15*y. Solve -3*z - 9 - 3 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277147, 554292, 831437, 1108582?\nAnswer: 1385727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*h**2 - 2*h + 4*h - h - 132*h**2 as m*h + l*h**2 + j and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 311138 (base 9) to base 2\nAnswer: 101101000011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3960 and -17\/30?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798.\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 1. Let g be d(1). Suppose 5*z = g*z. Suppose z + 80 = 2*r. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**4*m - 5*a**4 + a**2*m + 75*a*m - a wrt a.\nAnswer: 180*a**2*m - 60*a**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2*(-36)\/(-8))*1. Suppose -3 = f*j - 0*j + 2*b, 0 = 5*j + 5*b. Let u = 2 - j. Solve -u = 4*s - 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlzllzlqjljz. What is prob of sequence lvqz?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 25*q**2. Suppose 10*p - p - 306 = 0. Suppose -p = -17*f + 15*f. Let s(n) = f - 17 - n. Give c(s(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47355302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 + 12*p**5 + 15*p - 23*p - 11*p wrt p.\nAnswer: 280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3747.\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 535663153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.22 plus 0.05?\nAnswer: 113.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 8. Find the third derivative of 3*w**5 - 10*w**3 + 2*w**2 + t*w**3 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -94*l**2 - 42*l + 47. Let x(d) = 63*d**2 + 28*d - 31. Let b(p) = 8*x(p) + 5*z(p). Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 922 - 924. Sort m, -34, 2 in descending order.\nAnswer: 2, m, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.02, 142, -97?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -10) + (1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -18, -6, 6, 18, 30?\n\"Answer: 12*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623532 is divided by 207842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-10) + 2698\/(-95) + -15 + 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-1 + 3 + 0)*(-47*s + 13*s - 50*s) + (3 - 1 - 1)*(-2*s - 4*s + s).\nAnswer: -173*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -13999 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:38 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40990400 divided by -1507.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2300 = -41*p + 1390. What is the highest common divisor of 135 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 2, i: 1, p: 4}. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -60.307 and -1.2.\nAnswer: -61.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*1)\/(8\/8*-6)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -25. Suppose 2*y - 19 = 5*g, 2*y + t*y = 4*g + 14. Sort y, -5, 6, 4 in increasing order.\nAnswer: -5, y, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 26. Let l be z\/4*(2 - 3). Solve l = -a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -1565, -3295, -5725, -8861, -12709, -17275, -22565?\nAnswer: -28585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 + 23*t**4 - 1 + 14*t**2 - 18*t**2 to u*t**2 + m*t + r + f*t**3 + w*t**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((j - 2*j + 2*j)*(5 + 0 - 3) + 3*j - 2*j - 2*j - 3*j + j + 4*j - 13770*j - 1 + 13786*j - 8)*(46*j + 28*j - 90*j) as k*j + r*j**2 + n and give r.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109*o**3*z**4 - 445*o**3*z**2 + 89706*o**3 wrt z?\nAnswer: 436*o**3*z**3 - 890*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01157 minus 0.79417?\nAnswer: -0.80574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23582409 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11235*s**3 + 253*s**2 - 10*s + 6. Let o(v) = 11225*v**3 - 253*v**2 + 9*v - 5. Let f(a) = 5*b(a) + 6*o(a). Find the third derivative of f(x) wrt x.\nAnswer: 67050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 1 - 2 - (95 - 41 - 21)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5040 and 25396?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 25 = 11. Let c(y) = y**3 - 4 - 1 - 9*y**2 - 1 + 8. Let i be c(l). Solve 3*a - 15 = -i*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or 2\/3?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77195809 is divided by 393.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 + -190. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l. What is the derivative of -5 - 11*k - 3 + 0 + l wrt k?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1540 and 673596.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2587276 divided by -28?\nAnswer: 646819\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Find the second derivative of 5*a**5 + 0*a - g*a - 3*a**5 + 2*a wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5*(-6 - -1). Let y be -2*h\/(-2) - -1. Is 1\/y - (-321)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 31*d**2 + d - 6. Suppose -3*r = 5*i - 53, -3*i - 35 + 42 = r. Determine p(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 + 12*d - 3. Let f be m(-9). Let t = 46 + f. What is the highest common factor of 176 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -d + k, 3*d = -3*k + 63. Let m = -19 + d. Solve m = h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/6 - i + 3182. Let b(a) be the third derivative of -43*a**5\/60 + a**4\/12 + 2*a**2. Calculate s(b(h)).\nAnswer: 43*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, 1 a, and 1 f when four letters picked without replacement from grvfgvrarvgvgvfafvhf?\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/20 - v**4\/12 - 5*v**3\/6 - v**2 + 9*v. Let c be j(-2). Solve o + c + 5 = 3*z, 4*o + 23 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/76734 and -7\/1740.\nAnswer: 767340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from wwwwwwwwwwuwwwuuwu.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*-2) + sqrt(288) + 1.\nAnswer: 1 + 23*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.128 - -22.228. Let l = 40.6 - y. What is the third smallest value in 1\/4, l, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 269*u**6\/15 + 171*u**2 - 151*u. Differentiate j(n) with respect to n.\nAnswer: 2152*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25741828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421642*p**2 + 2*p + 421729*p**2 - p to c + s*p + h*p**2 and give h.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40614239?\nAnswer: 29, 103, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 12\/11 (b) 4 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 7*t + 13. Let p be l(-9). What is the fourth biggest value in -0.2, 0.13, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1776)\/(-5920) - (1072\/240)\/(-2 - 8\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q**(2\/9)\/q))\/q))**(7\/8))**49 assuming q is positive.\nAnswer: q**(343\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248043 and 468216.\nAnswer: 41671224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6139, -6137, -6137, -6139, -6143?\n\"Answer: -r**2 + 5*r - 6143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -3. Let q be (-2 - 1)\/(3\/4). Let k be (-2)\/q - (-2)\/4. What is the second smallest value in l, 4, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/((i\/i**(2\/13))\/i))**(-2\/53) assuming i is positive.\nAnswer: i**(22\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let r(c) = -21*c - 23*c - 2*c**2 + 44*c. Give g(r(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 102. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2157)\/(-24) - (-4)\/32. Let q = i + -82. Suppose 0 = 4*v + q, 4*n - 5*v = 3*n + 9. What is the nearest to n in -2\/31, 3\/7, 0?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5.8564, -4\/7, 15, -1\/6, 4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + u**4 + 8*u**2 - u**2 + u - 3*u**2 + 2*u**3 in the form m*u**4 + s*u + t*u**2 + w*u**3 + a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5 + 4 - 40*j**4 + (-3*j**4 + 4*j**4 - 3*j**4)*(-2 - 3 + 3).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-12)*-20 + 0. Solve -o - 5*n = -r*o, -4*o - 2*n - 28 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-5)\/(-2) - (-5202)\/396)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-15))\/(1\/(-159)). Let j = 44 + d. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k - 4 = 0. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44583 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, r: 3}. What is prob of sequence qrrq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -654 + 1250. Suppose -q - 197 = 2*u - x, 3*q - 1209 = -3*u. Let y = q + -231. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.294 - 120.556. Let m = 1.45 + r. Round m to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 3*c**2 + 22*c - 45. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 10. Let z be v(-7). Find the common denominator of 3\/48 - (0 + z) and 59\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 164*l - 1541. What is y(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 0*y + 0*y)*(-y**3 - 2*y**2 + 2*y**2 + (-3*y + 4*y + y)*(-2*y - y**2 + 2*y) + 867 + 68*y**3 - 867) + 2*y**5 + 2*y**5 - 5*y**5.\nAnswer: 194*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 40*o**2 + 198*o + 193. Calculate the remainder when z(-14) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -226013? (a) -0.3 (b) 3 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:57 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3 + (-10465)\/1170)\/(25 + 123552\/(-4941)).\nAnswer: -61\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 14 = -5*n, 2*d - 11 + 1 = -n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25053, 49955, 74857?\n\"Answer: 24902*x + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 806*h**3 - h**2 + 4*h - 4. Let y be n(1). Calculate the greatest common divisor of 35 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -35, -56, -79?\n\"Answer: -s**2 - 16*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40827 - -40869. Solve k*w + 338 = -40 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 + -90. Suppose -7*q = -60 - d. Find the third derivative of -q*r**2 - 47*r**2 - 16*r**6 - 20*r**2 + 57*r**2 wrt r.\nAnswer: -1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (7 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 236 and -0.153703.\nAnswer: -36.273908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c - 7*c**3 - 3*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -15. Factor -a**2 + 6*a - 4*a**2 + 2*a**2 - 6 + b*a.\nAnswer: -3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-44))\/((-2)\/(-20))*(-8)\/250.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smoxcoomcmxsx. Give prob of sequence oo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2816, 2815, 2814?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/11)\/i)**7*(i\/((i*i**(3\/7))\/i))\/(i**(-1\/11)\/i))**31 assuming i is positive.\nAnswer: i**(-6665\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238845 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3088 divided by -386\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 11. Let s = -6 - k. Suppose -2*j - s + 28 = 0. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20910787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 224203\/270 equal to 829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -599 + -1?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 17. Calculate the greatest common factor of 14 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/105 - 5*j**4\/42 + 4*j**3\/7 + 25*j**2. Let a(g) = 0. What is g?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y - y)*(3*y - 3*y - y + (-9*y + y + 7*y)*(0 + 0 + 1)) in the form b + z*y + i*y**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -471 (c) 217 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141100 and 7650.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:36 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -b*y + 3*y - 5 = 0. Suppose y*z - 3*u - u - 4199984 = 0, -z + 3*u = -839988. What is z rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244301360 divided by -61075340.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915136 + 915136 - 38*z.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/(p**(-2\/17)*p) assuming p is positive.\nAnswer: p**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.022 - 0.208. Let r = 0.684 - 0.42. Let p = o + r. Round p to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6881950, 13763947, 20645944, 27527941?\n\"Answer: 6881997*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164911.4m in micrometers?\nAnswer: 164911400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1164, 1\/4861.\nAnswer: -0.6, 1\/4861, 1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63342, 63340, 63338, 63336?\nAnswer: 63334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 54035?\nAnswer: 54030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5555 = -688*v + 75731 for v.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 6652?\nAnswer: 19956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 9*m + 7. Let a(l) = 3*l**2 + 4*l + 3. Let z(b) = 7*a(b) - 3*r(b). Let h(v) = 7*v**2 + 3*v - 1. What is -2*h(f) + 5*z(f)?\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -120. Suppose 12 = 6*w + 60. Let z(y) = -y + 16. What is the remainder when n is divided by z(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10343049 to the power of 1\/2, to the nearest integer?\nAnswer: 3216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/4*q**3 + 0 + 5\/4*q**5 + 0*q - 125\/4*q**2 + 45\/4*q**4.\nAnswer: 5*q**2*(q - 1)*(q + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 163b?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:16 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfh when four letters picked without replacement from {h: 13, f: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15540 and 7350?\nAnswer: 543900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 39, 90, 157, 246, 363, 514, 705?\n\"Answer: m**3 - m**2 + 37*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) + ((-2*sqrt(99) - sqrt(99)) + sqrt(99))*-1)*3)\/((sqrt(288) - -2*sqrt(288))\/((sqrt(14) + sqrt(56))\/sqrt(7))).\nAnswer: -27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -o + 7, o - 3 = 2*g - 0*o. Let x be ((-4)\/3)\/((-2)\/3). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 292*f**2 + 4435*f - 5378. Calculate w(276).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 0.88.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 57. Suppose 0 = -2*s - 4*p - 2, -5*s - 10 = -4*s - p. Let b = s + c. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4476657.\nAnswer: 3, 1492219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 2*u**2 - 3*u - 3. Let k(l) = 3*l + 4. Let p be k(-2). Let m be i(p). Suppose w - m*t + 2*t = 75, -4*w = -2*t - 304. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**3\/6 + 18504*z. Let y(v) = -4*v. Let i(q) = -20*q + 1. Let c(p) = 2*i(p) - 11*y(p). Calculate c(j) - 3*t(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 315bd4 (base 15) to base 16\nAnswer: 23d50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-12 + -11 - -3 - -4) - 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-2 - -3 - -9 - 10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2680197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 66*f**5 - 3*f**3 - 99*f**2 + 3. Let i(o) = 197*o**5 - 8*o**3 - 298*o**2 + 8. Let a(h) = 3*i(h) - 8*u(h). What is the third derivative of a(m) wrt m?\nAnswer: 3780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from ozyoyp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549315174062*z + 549315174062*z + 107*z**3.\nAnswer: 107*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**4 + 50*t**3 + 118*t**2 + 70*t - 3. Let b(z) = -z**2 + 1. Let a(f) = -3*b(f) - q(f). What is s in a(s) = 0?\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 5) + 280\/(-49).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4064357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247\/12 - 125\/6. Which is the nearest to -2\/5? (a) 3 (b) h (c) 3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose 0*m - 20 = 5*z - 3*m, -5*m - 11 = -a*z. Let b = 7 + z. Solve b*i - 3*i - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3494*o**3 + 2*o**2 - 19*o - 36. Let y be g(-2). What is the units digit of (-1 - 0)\/(12 - y\/2330)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zawar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 2. Let m = 33 - a. Let o = -26 + m. Sort -5, 3, o.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6147545 (base 8) in base 7?\nAnswer: -16551254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r - 2. Let g be b(3). Suppose -3*o + 68 = 3*i + 8, 5*o - 20 = 0. Suppose i*w = 13*w - 51. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 406.3281 micrograms?\nAnswer: 0.4063281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101 in 3, -7\/9, 0.5, 33.9?\nAnswer: 33.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.7 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 11176635258.\nAnswer: 11176635257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -42*y**2 - 2*y. Let i(c) be the first derivative of -c**2 - 14. Give b(i(t)).\nAnswer: -168*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/4 - (-2)\/(-8). Let g = 6 + s. Solve 6 - 9*k - 2*k**2 + 3*k**g + 2*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r*t**4*v - 2*r*t**3 - 171*r*t**2 - 2022*t**4 - 2*t**2*v + t*v + 2*t - 2*v wrt t?\nAnswer: -72*r*t*v - 12*r - 48528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 1}. Give prob of picking 3 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 0 + (0 - -3). Let p = -12 + d. Let o(f) = -7*f. Let s be o(p). What is the greatest common divisor of s and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14427 + 14426.5. Sort c, 17, -5, 0 in descending order.\nAnswer: 17, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1698155\/3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -107*g**2 + 540*g + 1244. Calculate h(-2).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*y + 1209, 2*y - q = -3*y + 1206. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -4*n**3 + 215*n**2\/2 - 77*n. Differentiate x(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f**2 - 7 + 12*f**2 - f + 10*f**2 to the form b + x*f + d*f**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b98 + -4?\nAnswer: 4b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-196))\/((-20)\/560).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6950 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 3*k + 5. Determine j(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11819 times 0.02?\nAnswer: 236.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2543\/12 + -632\/3. Find j such that 1\/4*j**2 + 1 + a*j = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-306)\/357*(-14)\/6. Suppose -g*c - 7*o + 13 = -6*o, 0 = 3*c + 5*o - 2. Solve -c*t - 20 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-47290)\/(-34) - (-40)\/340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -9*z - 61. Which is the third smallest value? (a) -8 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + z + 184 = 0. What is the remainder when 64 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 10. Let l(d) = -2*d + 9. Let q(b) = 3*a(b) + 4*l(b). Suppose 0 = -2*s, 2*r - 6*r + 544 = -2*s. Let p = -132 + r. What is q(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b - 7. Let p(u) = 16*u + 14. Determine 4*p(i) + 7*y(i).\nAnswer: 8*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 7\/12*j**4 - 3*j**2 + 0 - 1\/20*j**5 - 1\/3*j**3 - 5*j. What is the units digit of a(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 729972451*j**2*n**3*w - j**2*w - 2*j*n**2*w - 2*j*w - 2*n**2*w + 501*n*w + 3861 wrt n?\nAnswer: 4379834706*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 20. Let o(r) = -2. Let l(d) = a(d) + 4*o(d). Let p(n) = 3*n - 7*n + 2*n. What is l(p(z))?\nAnswer: 4*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5 - 0. Suppose 72*i = 69*i + 5*b + 25, -5*b - 25 = 2*i. What is the closest to i in -3\/10, -0.4, v?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/60 + 11\/240. Suppose -396 = 12*y + 84. Let p = y - -40. Is g not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 407?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oodt. What is prob of sequence td?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4\/4 - 7*z**3\/3 + 3*z**2 + 7*z + 8. Let a be h(6). Suppose -8*i + a*i = -8. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10840773?\nAnswer: 3, 19, 43, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-54)*(-7611)\/236*6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584866*b + 7708 = -585030*b for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40087223 by -3644293.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88 in 1039, -3.1, 3\/4, -1\/6, 3\/5?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l - 2*l = -15, 0 = -4*t + 16*l + 240 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - c - 3)*(-844 + 446 + 456).\nAnswer: -58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 8 = 35*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -17555524?\nAnswer: -17555527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*l - 17, 3*s - 4*l = -5 + 4. Solve -u + s = -6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -4, -131938, -2\/5, 2\/17, 0, 2?\nAnswer: -131938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4959129 and 13\/381811?\nAnswer: 857929317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-9) - -2*1. Let z = -10.5639 - -10.0639. Which is the nearest to w? (a) -13 (b) z (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282498*-0.5.\nAnswer: -141249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/100)\/(3\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {i: 1, d: 1, f: 1, u: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622 (base 7) in base 10?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 53*t**4 - 3*t**2 + 12*t. Let d(j) = -106*j**4 + 5*j**2 - 23*j. Let r(b) = 3*d(b) + 5*l(b). Find the second derivative of r(s) wrt s.\nAnswer: -636*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.759539100673 and 0.82.\nAnswer: 0.060460899327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j)**(-16\/3) assuming j is positive.\nAnswer: j**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 4*r**2 + 6*r**2 - 8*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 38*h + 39. What is o(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = p, -3*h - p - 11 = -52. What is the remainder when 39 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -159*y + 272. Determine o(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 17*h + 5. Let s(j) = -5*j**2 - 51*j - 14. Determine -11*i(x) - 4*s(x).\nAnswer: -2*x**2 + 17*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1 (c) -0.15 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 48. What is the remainder when 69 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242144\/27 + -8974. Let o = 161\/27 - i. Let x = -1498\/165 - -98\/15. What is the common denominator of x and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 124*l + 575. Give x(-8).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -160, -460, -910, -1516?\n\"Answer: -m**3 - 66*m**2 + 49*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240613126?\nAnswer: 2, 13, 9254351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - (-3 + -7 + 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 - -87. Let i = 186898071 - 186898077.00000104. Let r = i - w. What is r rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33677, 33707, 33739, 33773, 33809, 33847, 33887?\n\"Answer: u**2 + 27*u + 33649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21614730913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/15 (b) 4\/7 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {g: 1, y: 1, i: 2, j: 2, r: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -38, 41.3, 8 in descending order.\nAnswer: 41.3, 8, 5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74204350 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 56 (b) -39 (c) -1\/4 (d) -10.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22924, 13577, 4228, -5123, -14476, -23831, -33188?\n\"Answer: -w**2 - 9344*w + 32269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 4*q**2 - 7*q**2 + (6*q**2 - 4*q**2 + 3*q**2)*(1 - 3 + 1) - 6*q**2 + 10*q**2 + 12*q**2 - 6*q**2 - 58*q**2 + 7*q**2.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w + 59*w = -5*a + 24849, 0 = w + 4*a - 8283. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450 and 540.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59332 and 57512?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let q = 665 - 664.258. Let o = q - 1.242. What is the closest to c in o, 2\/9, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 18. Let r be m(-4). Let j be (r - -1 - -6)*-2*1. Is (-3134)\/(j\/2*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38292 and 39816.\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1387, -2541, -3681, -4801, -5895?\nAnswer: -6957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 - -287. Suppose 0 = 3*h - q*y - 7, -4*y + 12 = -3*h + 5*h. Solve -h*r - 19 = o, -2*o + 5*r = -o - 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328201663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 5*t = 4*k + 25, 5*k = 2*t + 19. Let i(a) = -4*a**2 + 6*a + 2. Let o(l) = -3*l**2 + 5*l + 2. What is k*o(z) - 4*i(z)?\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + d + 185 = -25, -4*h = -3*d + 819. Let j = h - -291. What is the remainder when 332 is divided by j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f. Let h(z) be the third derivative of -z**7\/2520 - z**4\/12 + 3*z**3\/2 + 77*z**2. Let a(o) be the second derivative of h(o). Determine k(a(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -326*940\/(-36) + 14\/(-63) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/39 and 24\/91?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -6, -1767671, -1\/3, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78357.6 rounded to the nearest 100?\nAnswer: 78400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 9:50 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6331630 and -17193.\nAnswer: 6314437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -707, -710, -711, -710, -707?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:16 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = -30. Let t be -4*40\/(-256)*8. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27096, 25354, 22454, 18402, 13204?\n\"Answer: u**3 - 585*u**2 + 6*u + 27674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000201 (base 4) in base 11?\nAnswer: 14459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*v + 5 = 7*n, -2*v + 2 = 0. Let c = 675 + -208. Suppose -i = -n*i - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j - 29904 = -101*j. List the prime factors of j.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:10 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 2415, 2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmsggmjjjjj. What is prob of sequence mg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204646713, -204646714, -204646715?\nAnswer: -204646716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5065, -5729, -6857, -8449, -10505?\nAnswer: -13025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**5)*(i\/(i\/i**(-5))*i)\/i)**(1\/9)\/((i\/i**(-10))\/i*i*i**(-4\/7)*i)**(-5\/9) assuming i is positive.\nAnswer: i**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1937115, 1937106, 1937091, 1937070?\n\"Answer: -3*i**2 + 1937118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8465056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 3*b + b)*(-3*b - 3*b + 9*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 6\/(1*-2). Let r(i) be the first derivative of -3*i**2\/2 + 6*i - 15. Let p be r(o). Put -4, p, -1 in increasing order.\nAnswer: -4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 120*z**3 + z**2 + 8*z - 2. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 7029?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 + 129*h - 93)*(-h**2 + 0*h - 2*h + 3*h**2).\nAnswer: 258*h**3 - 258*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 27966 - 27966 + 18*r**3 - 72*r + 8*r**2.\nAnswer: -2*r*(r - 9)*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3443 + -3415. Suppose -441 - 59 = -5*z. Calculate the remainder when z is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:22 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*-4)\/(4*sqrt(125)).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14998 is divided by 650.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 + 3*o + 2. Let t(m) be the first derivative of 3*m**3 + 2*m + 12 - 5*m**3 + 2*m**2 - 2*m**3 + 2*m**3. Determine 5*j(i) - 4*t(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 2. Let x be o(-6). Let i be -3 + 0 + 0\/x. List the prime factors of -33*((-30)\/9 - i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -20)*((-24)\/9 - 2\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/15283 and -35\/6.\nAnswer: 91698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104533 - 125053?\nAnswer: -234030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1 - 4 - 4*g - 2*g + 4*g. Let x = 5 + -14. What is the remainder when 50 is divided by u(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*c + 2*c**2 - 9*c**3 - 14*c**3 + 147*c + 12*c**3 in the form d*c**2 + i*c + o + x*c**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -37*5\/5 - -1. Let i = 68 + t. Let n = 107 - i. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30262 - 9158 + 6799 = -393*r for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5714450, -11428845, -17143240?\n\"Answer: -5714395*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12619040 a multiple of 2965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*p - 21*p = -2289. Solve 18*f - p*f = -55 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*b**3 + 21*b**2 + 6*b wrt b?\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65374*s**6 - 45329*s**2 + 2 wrt s.\nAnswer: -7844880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 0.326.\nAnswer: 2.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-8)*(-198)\/4125*75\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r - 2. Let j(k) = -k**2 + 8*k - 1. Let z(a) = -2*a**2 + 12*a - 1. Let o(v) = -3*j(v) + 2*z(v). What is -2*f(q) - 4*o(q)?\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 - c**4\/3 - c**3 - c**2 + 2*c - 159. Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -7 - (1 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, -585 = -0*n - 5*n + 2*i. Suppose -137 = -3*v - 0*v + l, n = 3*v + 3*l. Calculate the smallest common multiple of 44 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.9 - -93.85. Let o = n + -73. Which is the closest to -2? (a) 0.5 (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(525) - sqrt(21) - (sqrt(21) - sqrt(42)\/sqrt(72)))\/(sqrt(21)\/sqrt(3)*2 + sqrt(7) - sqrt(7)*-2*-3).\nAnswer: 71*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*b + 84, -b + 42 = -2*q + 12. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 0.6, 0.37, 4?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-219310)\/(-56) + (-10)\/8. Suppose 13*d = 453 + b. Does 56 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 13 - 7*r + r**2 + 68\/3*r**3. Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124866337.\nAnswer: 277, 353, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 18. Let u(l) = -l**2 + 9*l + 7. Let p be u(8). Let r be b(p). Solve -5*a = -t - 5, 3*t - r*a = -1 - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 51*k. Let f(y) = -9*y + 48. Let c(j) = -j + 6. Let u(r) = -40*c(r) + 5*f(r). Calculate 2*p(s) + 21*u(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 - -319. Suppose 5*j = -w + n, 0 = j - 2*j - 5*w + 108. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 32. Let v(o) = o**2 - 8*o - 2. Let p be v(w). Let m = 10 + -4. What is the closest to -1 in p, 1, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -22983.\nAnswer: 1\/22983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387949 + 2721032\/7. Let f = g + -769. Determine z, given that -2\/7*z**3 - 2\/7 - f*z - 6\/7*z**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 1890, 2835, 3780, 4725, 5670?\nAnswer: 6615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103242*p**5 - 8*p**2 - 5502042*p + 1?\nAnswer: -2064840*p**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87353*i**4 - 24969*i + 2 wrt i.\nAnswer: 1048236*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(-12)\/(-9)*90\/28. Is (-4)\/f - -3039*(-22)\/(-90) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888961677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*x = 18, 0 = -5*c - 0*x + 5*x. Suppose 4*h - 191 - 48 = -5*s, 0 = -c*h - 5*s + 183. Let w = 93 + h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1343 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1, 2, 0.37, -14, 12.\nAnswer: -14, -1, 0.37, 4\/9, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11042522 - 1520?\nAnswer: -11044442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1523586629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:53 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/2560748 and 91\/48316.\nAnswer: 2560748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/4 + 31731*a**3\/4 + 174453*a**2\/2 - 111026*a - 190320 = 0.\nAnswer: -31720, -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axx. Give prob of picking 1 a and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1078 and 2002.\nAnswer: 14014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14765 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e42 + 4538?\nAnswer: 537a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63813 by 267.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*w + 8, -5*y - w + 9 = -0*w. Let g be (-2)\/y - 4\/(-1). Suppose 28 = a + g*a. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10162632 (base 7) to base 3.\nAnswer: -1121110212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r**2 - r. Let p(l) = -91*l**2 + 6*l - 1. Determine -4*j(n) - p(n).\nAnswer: 19*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 141432\/207666 - 4\/278. Solve i*b - 4\/5*b**2 + 2\/15*b**3 + 0 = 0 for b.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3524 - 3520. Solve c*p - 4*u - 6 + 26 = 0, 0 = -3*p + 5*u - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + 43. List the prime factors of t.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470 - -1021. Let o = k + -2721\/5. Is 6 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, -2464, -47 in increasing order.\nAnswer: -2464, -47, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(6\/(-30))*(-60)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 532.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 5*j**2 + 5*j + 3. Let l(f) = -f**2 + f. What is -5*l(h) + y(h)?\nAnswer: -2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(117)*2 + sqrt(117) + -1)*-5 + (-5 + 0 + sqrt(468))**2*6)*-3.\nAnswer: -2430*sqrt(13) + 17778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 3*q - q**2 + 0*q**2 + 1. Let v be (-9)\/(-1*6\/4). Let a(j) = j**2 - 5*j - 3. Let z be a(v). Determine n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/35 or -337?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.8. Let h = -0.7 - m. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 2*g + 1. Let s(f) = f. Let m(a) = -3*a - 10. Let b(w) = -m(w) - 6*s(w). Let r be b(16). Let u be (-16)\/136 + r\/(-34). What is i(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -553 + 64?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from vngnvbnennvnv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185877 and 1539?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*((t**(-1\/4)*t)\/t)\/t)**(3\/35)*(t**(1\/11)\/t)\/t**(-3\/2) assuming t is positive.\nAnswer: t**(1009\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/104 and -7\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 66*m**2 + 2*m - 406 + 206 + 206 - 65*m**2. Let w be 1*-1 - (-9 - 1). Let h(g) = 5*g**2 + 9*g + 25. Give w*c(j) - 2*h(j).\nAnswer: -j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13132123133 (base 4) to base 10.\nAnswer: -1959647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y - 13. Let o(v) = -v**2 + 19*v + 27. Let p(j) = -5*g(j) - 2*o(j). Does 13 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 8 = 0. Let l = 0.97 + 0.03. Let h = -1286\/7 - -184. Put l, p, h in ascending order.\nAnswer: h, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -564472605 and 194446.\nAnswer: -564278159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*y + 33 = 1321*y + 3*l, 0 = 3*l - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -124\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -13. Let n = d - 1. What is the units digit of (-3 + (n - 3))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875646703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 28876153 - 28876153 - 3*l**2. Let h(u) = 20*u + 107*u + 7*u + 82*u. Calculate h(d(o)).\nAnswer: -648*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3156.58*-1.\nAnswer: 3156.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 297.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.07, -102, 0.4, 0.5, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121622*(-33)\/(-120) - (-4)\/(-80)?\nAnswer: 2, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 16*r = -12*r - 12, 0 = -4*j - 3*r + 9. Which is the nearest to j? (a) -8 (b) -12\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 + -625 + 2 + 5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/31)\/(n*n**(-1\/10)))**(1\/15))**(-9\/10) assuming n is positive.\nAnswer: n**(897\/15500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 948069 in decreasing order.\nAnswer: 948069, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 15330203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566\/9 - 1135\/18. What is the nearest to 4 in 3, 33, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u. Let t be j(8). Suppose t = 5*a - 4*a - 81. Let k be 1\/((12\/a)\/4). Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4413 - -4415. What is the closest to -25 in -3\/4, g, -2\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnn when three letters picked without replacement from {a: 6, t: 2, o: 3, s: 2, n: 5}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 62*a = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**2 - 9*r + 4. Let v(d) = -4*d**2 + 4*d - 2. Suppose -4*n = g + 13, -5*n - g = -6*g - 15. Let l(q) = n*f(q) - 5*v(q). Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14231101 - -201?\nAnswer: 14231302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10044957, 20089918, 30134879, 40179840, 50224801, 60269762?\n\"Answer: 10044961*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t**3 - 541527*t**2 + 18*t + 541527 = 0.\nAnswer: -180509\/6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-120))\/((40\/4)\/(-90))*4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/2 - 6. Let x = -19 + 73\/4. What is the closest to -0.1 in 0.2, w, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.51 times -57471\nAnswer: -144252.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 7, d: 7, s: 2}. Give prob of sequence sdvd.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11))**(7\/13) assuming b is positive.\nAnswer: b**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(567) - (sqrt(567) + 2 + sqrt(567))) + 2)**2 + (-2 + (sqrt(567) + -2)*1)**2 + -5)*1.\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -231*q - 393. Determine u(-1).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*k - 3*d + 24, -5*k + d = -18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 1, o: 3, z: 7, q: 3}. What is prob of picking 2 f?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1230 + 1234. Put -5, 2, 1, l in increasing order.\nAnswer: -5, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417261*h**3*w - 5343*h**2*w - 26*h*w wrt h?\nAnswer: 2503566*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 884, 2311, 4690, 8021, 12304, 17539?\n\"Answer: 476*m**2 - m + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -20 - 22) + (6 + -1 - 11 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 13374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 125. Let w(v) = 2*v + 125. Let x(i) = -6*d(i) + 7*w(i). Let p be x(0). What is the highest common divisor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2522?\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3645 is divided by 461?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 42. Calculate the remainder when w is divided by (-51)\/4*416\/(-312).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/10 + -13\/20. Determine t so that 1\/4*t - 1\/2*t**2 + 0 + s*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 70*b = 71*w - 69*w - 26, 5*b - 95 = -5*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113079, 226178, 339275, 452370, 565463?\nAnswer: 678554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 9*t + 3. Let x be h(9). Let u(y) = 6*y**2 + 3. What is the remainder when u(x) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (44 - 182) - (-16 + 5).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54955149 and 1.518607?\nAnswer: 54955147.481393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 1. Let l = -7 - -13. What is the units digit of n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6292)*1 + sqrt(6292) + sqrt(6292).\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*x**2 - 30*x**2 - 4*x**2 + 61*x + 2 - 10*x wrt x?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 12 + 10 + -61 - -21.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 - 108. Let z = -106 + p. What is the fourth biggest value in -7\/2, -2\/3, 4, z?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from mmkmvmnmvuvve.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 658 divide 1637942633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 4*s**2 + 12*s - 34. What is w(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53933066 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + sqrt(99)*-2 - sqrt(99)) + -3)*-6.\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*c - 372*c - 1188 = -121*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7*t + 4*t - 12 - 3 - 19*t.\nAnswer: -22*t - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10085606629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11560 bigger than -11562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((0 - 19) + 397 + -412).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*w = 12 - 0, -2*c = -3*w - 16. Let s = -27.2 - -215.2. Let m = -190 + s. What is the second biggest value in c, 18, -2\/13, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 1 - 2*n + 0*n. Suppose -3 + 1 = -u. Give o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2160 - -b?\nAnswer: 216b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 53?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4984618*m**3 + 4*m**2 + 8958*m?\nAnswer: -29907708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 4, 21, 38, 49, 48, 29?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 78. Let i be r(39). Solve p - 3 = i, 0*p + 4*p = -x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 > -268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1347877 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 + s**2 + s**2)*(2 - 5 + 1) - 3*s + 3*s + s**2)*(-105*s + 119*s - 79*s).\nAnswer: 65*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*k. Solve l - 2 = k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*t, -2*f - 3*f + 3*t = 0. Suppose -395*w = -39*w - 51 + 763. Sort -13, w, 3, f in descending order.\nAnswer: 3, f, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.67 - -0.67. Let t = h - -62. Let m = 0.011 + -0.411. Sort t, m, 2\/5, 0.3 in ascending order.\nAnswer: m, 0.3, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -53*n - 8. Let z(t) = 54*t + 9. Calculate -7*h(i) - 6*z(i).\nAnswer: 47*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 12*y - 5. Let k be g(-11). Let z = 10 - k. Which is the nearest to 1? (a) 0 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 12 = 4*j, -t - 5*j = -28. Solve 5*n = t*k - 3*k + 15, -5*k - 15 = n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1559 + -1.4\nAnswer: 1557.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6835 + 6835. Solve -5*c + 24 = y, p*c + 11 = 2*c - y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y)**(-1\/77))**50 assuming y is positive.\nAnswer: y**(100\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -780, -1781, -3222, -5127, -7520?\nAnswer: -10425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*k + 46*k**3 + 60*k - 18*k**3 + 9*k**3.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a + 20. Let l(p) = -6*p + 7. Let h be l(3). Is g(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*t - 5*t, 2*g + t - 12 = 0. Let j = -107065\/36 + 26773\/9. Which is the third biggest value? (a) 20 (b) j (c) 0 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)\/m)\/m**(-6)*m\/m**5*m**4)**(-31) assuming m is positive.\nAnswer: m**(-403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*t - 67*t + 481*t to l + i*t and give i.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263\/270 - -31\/54. Suppose -6*v + 5*v = 0. Suppose 2*k + k + 12 = v. Is n smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -38*d**2 + 131*d - 44. What is q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4488302 = 48*z + z. What is z rounded to the nearest one hundred?\nAnswer: -91600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7650, 15303, 22954, 30603, 38250, 45895, 53538?\nAnswer: 61179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37\/4? (a) 0.09 (b) -0.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 + u**3\/2 + u**2. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 2385*c**2\/2.\nAnswer: -c**2*(c + 4770)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017567.\nAnswer: 17, 31, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 8852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - -6 - -1 - (-44 + 54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4, -4*r + 2*s + 140 = 5*s. Suppose r*b = 53*b - 5355. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393413 - 145*w**2 - 1393413.\nAnswer: -145*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + x + 15, -4 = -c - 3*c - 4*x. Let o = c - 0. Suppose 13*f - 17*f = 18*f. Put f, o, -3 in descending order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.3, 1, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let g(f) = -5*f**2 + f + 1. Let t be 2*10\/(-4) - (92 - 96). Give t*g(y) + 3*h(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 34. Suppose -l + 183 = -2*h, 3*l + h + g*h = 589. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.657 + -2.6570016345. What is l rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 31. Let j = -0.2 + 0.1. Let n = j + -0.9. What is the closest to -1\/4 in y, -4\/5, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2 - 2*b - 2 + 5. Calculate the remainder when 2 is divided by i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1527\/81 + -5 + -7 + -15 + 8?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4049.4 - -1.72.\nAnswer: -4047.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -222, -915, -2072, -3693, -5778, -8327?\n\"Answer: -232*m**2 + 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.942 or 1\/28?\nAnswer: 0.942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77321 - 4026?\nAnswer: 73273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7609 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from iiiviivdkfki?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147665804 or 1624323858\/11?\nAnswer: 1624323858\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.94 - -159.94. Let f = 159.46 - i. Let y = f - -0.7. Round y to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m, 3*p + 4*m = 18. Let h be (6\/4)\/(p\/8). Let k = h - -51. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**3\/2 - 18*t. Let j(d) = -6*d - 128 + 128. Determine w(j(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*w + 17 = 0, -3*r - 30 = 4*w - 6. Let j = -96 + 94.899. Let l = j - -0.101. What is the fourth biggest value in 1, 2, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22907*l**3*q**2 - 6*l**3*q + 2*l**3 - 46*l**2*q**3 - 393*l**2*q + l**2 + 2 wrt q.\nAnswer: -45814*l**3 - 276*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -24. Suppose -5*x = -p*x - 14. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or -599?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, -4, -2\/7, 2\/7, -28.01 in decreasing order.\nAnswer: 2\/7, -2\/7, -4, -28.01, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (451\/820 + 6\/(-20))\/((-27)\/((-5184)\/(-456)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*((-10424)\/(-3909) - 23396\/8778)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3383640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1264.\nAnswer: 8848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -67.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191316 is divided by 2946?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 1, k: 3, q: 1, l: 12}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011 + 1010?\nAnswer: 10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2878*z - 2880*z - 204 - 108, 5*u = -4*z + 403 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4997*a**2*r**3 - 622*a**2*r wrt r.\nAnswer: 29982*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 + 1\/3 + 4\/3*w + 4\/3*w**3 + 1\/3*w**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 5. Let x = t - 1. Let l = 6 - x. Sort 3, l, -3\/7.\nAnswer: l, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -1415, -2079, -2693, -3239, -3699?\nAnswer: -4055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**34)\/y**25 assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110100?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 112563*c. Let j(o) = -o**2. Calculate w(j(l)).\nAnswer: -112563*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10151970 by 338399.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + aa?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + 267\/3. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**3 + 3*o**4 - 5*o**5 - 6*o**5 - 8*o**2 - 9*o**5 + 19*o**5 = 0. Calculate o.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + (0 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11865 and 0.3.\nAnswer: -3559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060894005 rounded to 5 dps?\nAnswer: 0.06089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 3*r + 2. Suppose -45*l + 47*l - 4 = 0. Let h(j) = j**3 - 5*j**2 + 6*j + 4. Determine l*h(a) - 5*w(a).\nAnswer: 2*a**3 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 7, 0, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 8. Let x(m) = -3*m. Determine x(q(l)).\nAnswer: -15*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(228))\/(2*sqrt(96)\/sqrt(8)) + ((sqrt(152) + 1*sqrt(152))*2 + sqrt(152) - sqrt(152))\/(sqrt(200)*1).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.37 + -72. Let d = 38.37 - g. Let q = d + -37.8. Put q, 0.1, 2, -5 in increasing order.\nAnswer: -5, 0.1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33630757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 11) in base 13?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(((sqrt(98) - (-3 + sqrt(98) + 0)) + sqrt(98) - sqrt(98)) + (sqrt(98) - (2 + sqrt(98))*2) + 0))*6)**2.\nAnswer: 1512*sqrt(2) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8305.00008622 - -8305. What is a rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48603.4 centuries to millennia.\nAnswer: 4860.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k + 4869 = -5*v, -k + 2436 = -v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a hour in seconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.3 + 18. What is the closest to 2\/23 in a, -10, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = -2*d, 13*d + 12 = 15*d + 4*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 10*b - 5. Let c be n(9). Solve 7*i + 3 = c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v**2 + 0*v + 0*v)*(-3*v + 9 - 9) as j + d*v**2 + k*v + w*v**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 16\/7, -2\/3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517108497.\nAnswer: 3, 43, 227, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-15)\/(-2). Let s be (-3)\/4 - 378\/(-24). Suppose -2*g + 3*g = -5*u - s, 0 = 4*g. Sort c, u, -7 in ascending order.\nAnswer: -7, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 134*m**2 - 1700*m - 65. What is c(-50)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 4661, 15758, 37305, 72770?\nAnswer: 125621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58945\/7992 - -1\/1998. Let v = 3842 + -84541\/22. What is the common denominator of p and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -522 - -333. Let v = 225 + z. Calculate the lowest common multiple of v and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 334 - 150. What is the highest common divisor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220.1 times 5.44\nAnswer: -1197.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 9, 10, 0.1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 2, 0 in descending order.\nAnswer: 8, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 9*a**2 - 2*a + 10. Let u(w) = 13*w**3 - 36*w**2 - 9*w + 41. Let p(y) = 9*l(y) - 2*u(y). What is the least common multiple of p(9) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5674804 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*b + 256*b - 3424 = -325*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4)*(-48)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/4, 11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2615 + -2615.020744. Round b to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-59178)\/(-147) - 8\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -25. What is the remainder when 70 is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100313 + -2330221?\nAnswer: -3031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**8\/448 + m**7\/70 + m**6\/40 + 5*m**2\/2 - 10. Let j(p) be the second derivative of c(p). Factor j(i).\nAnswer: 3*i**3*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/41205 and 29\/861.\nAnswer: 288435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 28*c + 52. Is r(7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -46*z - 3. Let k(r) be the first derivative of r**2\/2 + 272. Give n(k(w)).\nAnswer: -46*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 + -174. Suppose -14*i = -6*i + g*i. Let p(s) = -s - 8. Determine p(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*o - 19, -4*o + 0 = 4*q + 8. Let z be 0 + 2\/2*2. Solve 2*k = -2, 3*i - o - z = -k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 78608?\nAnswer: 707472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -0*c - c. Calculate the remainder when 152 is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:29 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 42*a - 24*a + 11 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2954 divided by 14?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 35 = -3*d, 4*d + 24 = y. Suppose -y*x = -6*x + 4. Let j be ((-12)\/(-36))\/(x\/18). Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805.15 decades in centuries?\nAnswer: 380.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(891) + (-1 + (sqrt(891) - (-3*sqrt(891) - sqrt(891))))**2.\nAnswer: -81*sqrt(11) + 22276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h + 62*h - 8496 = -5*k, 0 = -4*k + 2*h + 6776. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p - 6*p - 4*p**3 + 14*p + (p + 3*p + 0*p)*(3*p**2 - 2*p**2 + p**2) + 2*p**3 + 2*p**3 - 2*p**3 as y*p**3 + k*p + h + l*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 4047?\nAnswer: 32376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 450 - 448. Let t be (((-16)\/(-100))\/(-2))\/(s\/(-3)). Which is the third biggest value? (a) -4 (b) t (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -1 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/8)*q**0*q\/q**6*q\/(q**14*q) assuming q is positive.\nAnswer: q**(-155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3 - 12. Let i be 0\/(-2) - 97\/w. Let r = i - -33. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose t*k - 6 = 3*k. Let o = 5.417 - 0.417. Which is the second smallest value? (a) k (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 539 - 30469462948\nAnswer: -30469462409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026 and 11742.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114938404.\nAnswer: 2, 7, 97, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -33. What is the common denominator of (p\/(-176))\/(1\/(-42)) and 11*(0 - 2\/12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**(-8)))*(u**6\/u)\/u*(u**(6\/7)*u)\/u**3 assuming u is positive.\nAnswer: u**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 21. Let w(q) = -2*q + 9. Let o(t) = -2*f(t) + 5*w(t). What is o(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c + 5. Let f be s(-4). Let n(v) = -12*v + 14. Let l be n(5). Let a = f + l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 716640 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = -k. Let v(c) = c - 6. Let q be v(8). Suppose -k = -q*y - 0*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2209 and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6002*w - 9. Let z(g) = -7277*g + 399*g - 2125*g - 13. Let t(b) = 7*r(b) - 5*z(b). Let v be t(-2). What is v rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.56 * -4\nAnswer: -10.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 60083*z**2 - 120220*z**2 + 60137*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142861\/698 or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 8. Let z be 3\/((-63)\/590) + (-46)\/(-483). Let j be ((-91)\/(-14))\/(t\/z). Calculate the greatest common factor of j and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 241.3380861818?\nAnswer: -241.1380861818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6555\/(-114))\/(3\/(-102)). Calculate the greatest common factor of w and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65426304 and 576?\nAnswer: 196278912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6995\/4 + 1859. Let z = p - 109. Suppose -3\/2*j**2 - 1\/4*j**4 + j - z*j**3 + 2 = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16104.375ms in minutes?\nAnswer: 0.26840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + s**2 - 2*s + 1. Let c = -2 - -3. Let x be w(c). Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 10*y**2 + 10*y - 2. Let t be c(-7). Calculate the greatest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.043 and -3.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -27, -63, -119, -201, -315, -467, -663?\n\"Answer: -d**3 - d**2 - 12*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppgppgggpmgpmppgp. Give prob of picking 1 p, 2 m, and 1 g.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 278. Let w(s) = s**2 + 12*s. Let g(x) = -5*x**2 - 66*x. Let u(y) = 2*g(y) + 11*w(y). Give j(u(i)).\nAnswer: -i**2 + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 242*h**2 - 447*h + 7919. Give u(-240).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112 + -22606?\nAnswer: -22474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 31\/60*c**5 - 1\/40*c**6 + 0*c + 0 - 24*c**2 + 0*c**3 + 0*c**4. What is the third derivative of x(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 512, 505, 494, 479, 460, 437, 410?\n\"Answer: -2*w**2 - w + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23027 and 55.\nAnswer: 1266485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1411317665 to the nearest integer?\nAnswer: 37568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1165*u**6 - 20012*u**4 - 49*u**2 - 5*u - 12203 wrt u?\nAnswer: -139800*u**3 - 480288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yjx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 750438149 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in -6\/11, -1, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11317880 by -2829470.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 23*b**2 + 32*b - 90. Give z(9).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 43. Let s be v(7). Let y(u) = -5*u**2 - 62*u + 33. Let c(p) = 2*p**2 + 21*p - 11. Let g(r) = s*c(r) - 3*y(r). Is 6 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 1929, 6566, 15611, 30534, 52805, 83894, 125271?\nAnswer: 178406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 1. Let c be v(1). Let o(i) = -i**3 + 2*i - 4. Let b be 4\/(-6)*(-1 - 5). Let m(r) = 1 - 3 - 3 + b. Calculate c*m(h) - o(h).\nAnswer: h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10.3. Let v = n - -3.3. What is the closest to 1 in -1\/2, -4, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33807.9357 minus 76.063?\nAnswer: 33731.8727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -0.06 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 4*d + 5. Let c(w) = -3*w**2 - 4*w - 7. Determine -6*b(g) - 5*c(g).\nAnswer: 3*g**2 - 4*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**3 - 2*t - 1. Let l be ((-1)\/1 + 8)*3. Let c be 2\/7 - 27\/l. Let h be m(c). Solve -4*z + h*z = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*r + 168*f**3 + 340*f*r - 1034281*r with respect to f.\nAnswer: 4*f**3*r + 504*f**2 + 340*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 44 = -17*n. Suppose -n*r - 2*h - 164 = 0, -5*r - 3*h = -15 + 219. Which is the second smallest value? (a) r (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4))\/(2\/(-4))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2037348 and 28\/12393867.\nAnswer: 148726404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 16*c + 12. Let g be q(-10). Let a = 68 + g. What is the greatest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Suppose 6 = -2*r, -4*d + 3*d + 3*r + 4 = 0. Which is the nearest to v? (a) d (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35902, 35863, 35804, 35731, 35650, 35567, 35488?\nAnswer: 35419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310829792, -310829790, -310829788, -310829786, -310829784, -310829782?\nAnswer: -310829780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:33 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33\/17 + 365\/153. Let x = 4624\/6927 + -2\/2309. Let x*n + m + 2\/9*n**2 = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 - -121?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272098049 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47510031.\nAnswer: 3, 15836677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 - d. Let z(g) = 5*g. Give a(z(x)).\nAnswer: 175*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 31, 39?\n\"Answer: 8*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 22*q - 45. Let t(f) = 33*f - 68. Let k(g) = -5*t(g) + 7*w(g). What are the prime factors of k(-12)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -1)\/2 + 1. Suppose -12*x = 14 + 202. Let s be 15*(-6)\/x + -5. Which is the nearest to s? (a) -5 (b) n (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/7 + 867*k**2\/7 - 250563*k\/7 + 24137569\/7 = 0 for k.\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9439*u - 10 = -2*h - 9444*u, -2*h + 4*u - 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 4*b - b - 4*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:19 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.982634 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*c**2\/5 + 762*c\/5 - 192\/5 = 0. Calculate c.\nAnswer: -32, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*o - 61*o + 136*o + 368)*(-2 + 6 - 2 + (1 + 2 - 4)*(1 - 2 + 2)).\nAnswer: o + 368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2312 divided by 578\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.914 + -0.086. Let y = 40 + h. What is the smallest value in -0.01, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 - 679895*z + 2039676 = 0. What is z?\nAnswer: 3, 679892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmzmmmgwmddzw. What is prob of sequence zz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-12)\/9)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 12*s - 20. Calculate o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 - -455. Let v = -101.1 - -103.1. Which is the second biggest value? (a) x (b) 0.3 (c) -5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 11*u - 7. Which is the closest to u? (a) -0.3 (b) -4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 + 339. Let q(b) = -b - 4. Calculate q(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) -819 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 4, s: 3}. What is prob of picking 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -13, -18, -23, -28?\n\"Answer: -5*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70.170331 - -2.\nAnswer: 72.170331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868414261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4292 = 2*m + 5*t - 4917, 2*t - 9224 = -2*m. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 4*a + 2*a)*(1 - 1 + a) + (-a + a + 2*a)*(a - 3*a + 3*a) - 8*a**2 + 2*a**2 + a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 8)\/((-11)\/4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 + -1 - -1)) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -60 - (54 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -551, -773, -1083?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/803)\/(1\/73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -149*c - 8. Let w(a) = a**2 + 151*a + 10. Determine 5*t(l) + 4*w(l).\nAnswer: 4*l**2 - 141*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28998.01 weeks in nanoseconds?\nAnswer: 17537996448000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1003\/322381 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 5*d**2 + d**2.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + y - 5*y)*(10 + 12 - 16*y - 22) in the form a + t*y + l*y**2 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 0*v + 0*v)*(v + 4*v - 6*v) + 3*v**2 + 0*v**2 - 2*v**2 + 2*v to the form x*v**2 + y*v + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 177992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/15*50\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 minutes after 2:17 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 9*j**2 - 10*j + 18. Let q be h(8). Let t be (q\/2)\/((-365)\/10 - 3). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -107438 - p**2 + 107438. Let h(k) = -267*k**2 - 2. Determine h(u(m)).\nAnswer: -267*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, g: 2, y: 2}. What is prob of picking 3 a and 1 y?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152073 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**4\/8 + q**2. What is the remainder when ((-2)\/(2\/1))\/((-12)\/60) is divided by s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11045094*q**2 - 3280952*q + 1 wrt q?\nAnswer: -22090188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25311 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -4 (c) -664 (d) -13\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 16.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -1\/20*f**5 + 2\/3*f**3 - 1\/3*f**4 + 0*f**2 + 0 + 5*f. Let a(j) = j**2 - j. What is 4*a(y) + i(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxx. Give prob of picking 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v. Suppose -5*n + 2*n + 63 = v. What is the highest common factor of n and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 285*x**3 - 3*x**2 - 20*x - 16. Let c be q(-15). Let f = -2252036 + c. Let h = f + 904302. Round h to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - 3*a + 7*a + 55*a**4 + (-7*a + 4*a - 6*a)*(-a + a + 2*a**3).\nAnswer: 37*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/3 (b) 2 (c) -285 (d) 3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b + 42*b + 8*b - 56*b + 24*b + 10*b.\nAnswer: 62*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/9, -3331, 40 in descending order.\nAnswer: 40, 2\/9, -7, -3331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 75. Let t = k + -53. What is the smallest value in t, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101, -89, -61, -11, 67, 179?\n\"Answer: y**3 + 2*y**2 - y - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -k + 6*k - 7, 2*k = -v + 3. Suppose 4*s = 13 - k. Suppose 2*x + 0 = -5*d + 78, s*x - 117 = -d. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99053 - 58.\nAnswer: -99111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101011011000110?\nAnswer: 101011011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c + 13. Determine a(6).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/2 + 7*w**3\/6 + w**2 - 156*w. Factor h(a).\nAnswer: (2*a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12419, 12417, 12415, 12413?\nAnswer: 12411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 948.907 litres?\nAnswer: 948907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55200000 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 2*w**4 - w**4 - 2*w**2 + 2*w**2 + 2*w**4 + (0*w**2 - w**2 + 0*w**2)*(2*w**2 - 3*w**2 + 3*w**2) + 4*w**2 + 3*w**4 - 4*w**2.\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.524? (a) -2 (b) -5 (c) -0.1 (d) 5 (e) -4 (f) 36.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 26 = -2*f - 5*o, 19 = 5*f + o. Suppose 0*m - f*m = 18. Is (2 + 6\/(-2))*m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6 - -64) + (1 + 11 - 14) + -6?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(612)) - (3*-2*sqrt(612))**2 - (0 + (sqrt(612) - (sqrt(612) + (sqrt(612) - -2*sqrt(612)))) + 4 + sqrt(612)).\nAnswer: -22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12792, -7, 0.5, -76\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0, 982 in descending order.\nAnswer: 982, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418067.\nAnswer: 3, 7, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.8, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 165 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmt when three letters picked without replacement from {l: 1, r: 3, o: 2, n: 2, t: 1, m: 9}.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7740101 centimeters to nanometers.\nAnswer: 7740101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*f = -44, -5136*s - f = -5141*s + 55 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.034+1181.2\nAnswer: 1181.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 0 - (-254)\/(-144) and (-303552)\/77004 + (-6)\/(-2 + 0).\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254166 rounded to three dps?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 16. Let v be 15\/(-6)*n\/30*-2373. What is the third derivative of -17*z**3 + 6*z**2 + 1582*z - v*z wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644 - 2194 = 22*c. Let a(p) = p**3 + 26*p**2 + 22*p - 19. Determine a(c).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -35*g**2 + 12*g - 2. Let b(d) be the first derivative of -d**2 + 10421. What is i(b(m))?\nAnswer: -140*m**2 - 24*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:32 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 35. Let h(x) = -x**2 + 8*x - 5. Let n be h(p). Let c(t) = 2*t**3 - 3*t**2 + 3*t - 1. Give c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*d - 5*l = 431*d - 5, 0 = -7*d + 3*l + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 7)*(2 - 3 + 0)*(-d + d + 4*d)*(d**2 + 0*d**2 + d**2).\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/33)*u\/(u**38*u) assuming u is positive.\nAnswer: u**(-1219\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 2767016?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g - 367. Let h be a(13). Let i = h - -1319. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -5*i - 237. Suppose -i*m - 43 = -103. Let n(b) = b**2 - 9*b + 6. Give n(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(26\/1))\/(44\/(-154)*(-1)\/(-12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.1. Let q = -11.6 - -12. Which is the third smallest value? (a) q (b) -2\/19 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.65 - 0.05. Let z = -0.04 + -0.36. Let m = v + z. Which is the nearest to -1? (a) -0.2 (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 7 = 3*q. Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from ugmguguumgggguuu?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/8 - (-14)\/2. What are the prime factors of 9\/v*-2 + (-268)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/15*(0 + 5). Calculate the remainder when 0 + 7 - (2 + -1) is divided by 27\/(-6)*4\/a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 + 14.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*sqrt(209)*1*-5)\/((sqrt(1100) - (sqrt(1100) - ((((sqrt(1100) - sqrt(1100)*-1) + sqrt(1100))*4 - sqrt(1100)) + sqrt(1100))))*6).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from {y: 3, c: 1, w: 3, d: 1, o: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (117\/(-2))\/(3\/(-4)). Suppose -a = -r - 22. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663966512 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8897 - 8895. Let w(x) be the first derivative of 0*x**3 + 6\/5*x**5 + 0*x**g + 40 + 5\/7*x**6 + 3\/7*x**4 + 0*x. Find i such that w(i) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 99525 = -8*r. Let b = -38513 - r. Let x = b - -6108. What is x rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -31, 4?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2. Let m(z) = -4*z + 44. Let x be m(11). Let o = -6 + 11. Let p(u) = x*u + o*u - 3*u. Give t(p(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13227 or 168?\nAnswer: -13227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) -1\/9 (c) -9 (d) 5 (e) 2\/261 (f) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-24)\/90*(-2)\/16*-18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -16 + 3 + 4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1468 + 1467.5. Put 26, o, -6, -5 in descending order.\nAnswer: 26, o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22556 and 372174.\nAnswer: 744348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 64 in increasing order.\nAnswer: -2, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 6*m + 12. Let h be s(-3). Let w(d) = 106*d - 50*d - 21 - 57*d + 1. Calculate w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:17 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 - -2.4. Let m = 7 + q. Let p = m + 3. What is the third biggest value in p, 5\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -40. Let s(a) = -a**2 + 6*a - 9. Determine s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30863604971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 65*s**2 + 65*s - 65. Let w(y) = -y + 1. Calculate o(t) + 65*w(t).\nAnswer: 65*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 8}. Give prob of picking 2 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 294979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 + 5*w - 4. Let a be b(3). What is the nearest to a in -0.2, 2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2855*j = -2850*j + 4*x + 41, -3*j = x + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -13. Suppose q*u = 3*n + 69, 17 = -u + 2*u + 2*n. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804905 is divided by 56.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:17 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a. Let j(x) = 6*x - 439247. Calculate r(j(p)).\nAnswer: -12*p + 878494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 - 9*z**2 + 2*z - 3. Let o(m) = -15*m**3 + 17*m**2 - 4*m + 5. Let j(n) = -6*o(n) - 13*s(n). What is the second derivative of j(q) wrt q?\nAnswer: -6*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**2 + 7*t + 69. Let z be j(-9). Suppose -u - 780 + z = 0. What is the least common multiple of 21 and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -1. Which is the nearest to -2\/7? (a) -2 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4084 is divided by 93?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2860 + -1859. Let m = -620 + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 1, t: 12, f: 4}. What is prob of picking 1 t, 2 b, and 1 f?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - g**2 + g + 4. Let n(h) = -4*h**3 + 2*h**2 - h - 7. Suppose -2 = -2*f - 2*z, 2*f - z + 6 = -7. Determine f*n(k) - 7*i(k).\nAnswer: 2*k**3 - k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-105)*(-9)\/6. Let i be 5\/(-6)*8\/(-30). Put i, -4, n in decreasing order.\nAnswer: n, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275 + -235. What is the remainder when 100 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -145.3.\nAnswer: 435.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 9, -1584, 0 in increasing order.\nAnswer: -1584, -3, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1443 + 2804. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -715 by 5360.\nAnswer: -143\/1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m + 5*m**3 - m**2 + 15*m - 7*m - 6 + 4*m**3 in the form p*m + l + c*m**2 + w*m**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267568 - -430217. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:14 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -172. Let h(q) = q**y - 18 - 6 + 28 - q. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 7. Let i(m) = 7*m + 20. Let f be (-2)\/(-2 - -3) + -2. Let l(k) = f*i(k) + 11*o(k). What is the first derivative of l(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (5 - (-10 - -21)) - 35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**3 - 47570*a**2 - 95125*a - 47560 = 0.\nAnswer: -9512, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 17 - 17.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02357 to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2)\/s)\/s)\/(s*(s\/((s\/((s\/s**(-8))\/s))\/s)*s)\/s*s))\/(s*s\/s**(-2)*s)**(-43)*((s\/s**(-1))\/s)**(-34)*(s**(-2))**(-15\/4) assuming s is positive.\nAnswer: s**(349\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q - 2*w, 4*q + 3*w - 2 = 1. Suppose 3*h + 1132 = 3*n + h, -4*n + q*h = -1510. What is the remainder when n is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.68 - 0.02. Let b = -0.01619 + 2.65319. Let y = b + m. Round y to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.3. Suppose 0 = -0*d + 3*d + 9*d. Which is the closest to d? (a) g (b) 3\/8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-667)\/138)\/(1\/(-6))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, 3, 0.3, -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 8}. Give prob of sequence aaa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*c + 376*c - 2*m + 6 = 0, 4*c + 8 = 3*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((-2*sqrt(363) + -3 - (1 + sqrt(363))*-2) + -3 + 4*(2*sqrt(363) + sqrt(363)))*3)**2)*5*1.\nAnswer: -47520*sqrt(3) + 2352985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1.2, 4, -3\/44 in increasing order.\nAnswer: -3\/44, 0.5, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/15 + 5*c**4\/24 - c**3\/2 + 4*c**2 - 11*c. Let u(h) = h**2 + h - 1. Determine -m(f) + 3*u(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 14) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2453\/9 - 273. Which is the smallest value? (a) v (b) 2\/3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/59)\/((f\/(f*f*f\/(f**(2\/75)\/f)*f)*f)\/f) assuming f is positive.\nAnswer: f**(17732\/4425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*n - 8. List the prime factors of -1 + ((-2)\/n - (-40 - -9)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153531264.\nAnswer: 2, 3, 73, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.891 - 21.091. Is s != 0.08395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -249\/158615 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*93.27.\nAnswer: -279.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053353 divided by 7.\nAnswer: -150479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 643 or 853?\nAnswer: 643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*a**4 - 1061*a**4 + 11*a**4)*(0 + 0 - 2)*(-3*a + 0*a + 5*a).\nAnswer: 5760*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/48 - (3\/(-18))\/(8\/1216).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-390)\/36 - 44\/(-4). Let s(h) be the first derivative of 1\/5*h**5 - 1\/2*h**4 + h + b*h**6 - 2\/3*h**3 + 1\/2*h**2 + 3. Find z such that s(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, s: 6}. Give prob of picking 1 s and 2 d.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + (-6)\/(-8). Let z(g) = 13*g**3 + g - 2. Let d be z(c). Does 8 divide 72*((-20)\/d - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005264 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140 - 317241?\nAnswer: -317101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 25 = -1. Let p(r) be the third derivative of r**5\/120 + r**4\/4 + 4*r**3\/3 - r**2. Let d(c) be the first derivative of p(c). Give d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 280 = 33*n - 54*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.71 - -3.6.\nAnswer: 4.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/11))\/n)**(-10\/3) assuming n is positive.\nAnswer: n**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*q = 1342*q - 56175 + 183517 + 34001 for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65173, 524689, 1771945, 4200811, 8205157?\nAnswer: 14178853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6503567703 rounded to the nearest 100000?\nAnswer: -6503600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17\/2)\/(-17))\/(1\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89210 times -2.5\nAnswer: 223025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2425 + 498. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5402880 and 36960?\nAnswer: 59431680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.205946 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**5\/55 - 13*i**4\/44 - 5*i**3\/3 - 75*i**2\/22 - 3781. Factor a(h).\nAnswer: -h*(h + 3)*(h + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-8) + 1)*2. Suppose 5 - p = -z. Suppose 0 = 3*o - 4*u - 95, 4*o - 48 - 72 = z*u. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 20*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.70186mg in tonnes?\nAnswer: 0.00000000670186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*j - 28. Is (36\/j)\/(4\/50) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14954 from 2618.\nAnswer: -12336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1188*w**3 - 3*w**2 + 23*w - 20. What is b(1)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12140 is divided by 573?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1075, 1007, 719, 73, -1069, -2845, -5393?\nAnswer: -8851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2. Suppose -s + 4 = -2. Let o(u) = -u**3 + 5*u**2 + 6*u + 5. Let t be o(s). Let x(h) = -h**2 + 5. What is t*q(y) + 2*x(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -r - 3, 4*r = 4*a + 12. Suppose -a*t + 5*f + 5 = 0, -2*t + 0*f - 2*f = -12. Solve 4*o + t = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5514950 and 30.\nAnswer: 16544850","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*k + 5*q, -2*k + 45 = -2*q + 7. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 1)\/8*-694 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3655, 3658, 3661, 3664, 3667, 3670?\n\"Answer: 3*q + 3652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1984?\nAnswer: -1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x + 214*b - 217*b, -5*x + 3 = -b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55048258 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54038 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 450445144.1321 and -1.\nAnswer: 450445143.1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*f + 6*f - 20, 0 = 2*f - 3*a + 6. Let v = -42 - -44. Solve -v*h - 20 = f*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -128454*h - 1669904. Give q(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -11. Let w = 210.735 - 218.8. Let k = w - c. What is k rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*g**2*j*w - 3*g**2*w + 2*g*w - 27*j + 2*w + 8 wrt g.\nAnswer: 96*g*j*w - 6*g*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811345?\nAnswer: 5, 162269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**4 + 2142680*u**3 - 61057716*u**2 + 580020866*u - 1836689302.\nAnswer: -2*(u - 133889)*(2*u - 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*a - 97*a = 485. Let w(y) = y**3 + 3*y**2 + y - 17. Let l(i) = i**3 + 5*i**2 + 2*i - 35. What is a*w(t) - 3*l(t)?\nAnswer: 2*t**3 - t + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 11 = -2*r - 11, 3*r - 265 = -71*p - 67 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7601, 7287, 7001, 6749, 6537, 6371?\nAnswer: 6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17733 divided by 5911?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4277, -8557, -12841, -17129, -21421?\n\"Answer: -2*s**2 - 4274*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94030838?\nAnswer: 2, 11, 37, 71, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42)\/sqrt(2))\/sqrt(3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 39*w + 12. Let c(r) = -8*r**2 - 37*r - 14. Let d(l) = -6*c(l) - 7*o(l). Let b(y) = -5*y - 6*y + 8*y + 2*y. Determine d(b(g)).\nAnswer: 6*g**2 + 51*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k**2 - 9*k - 2. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -10*a + 5*a + 33, -5*a + 21 = -2*j. Suppose -7*h + j*h + 2*t + 645 = 0, -5*h = -t - 640. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 8*q**2 + (5*q - 2*q + q)*(-3*q + 0*q + 13*q) + 2*q**2 - 5*q**2 + q**2 + q**2 + 0*q**2 + 0*q**2)*(4 + 5*q - 4).\nAnswer: 235*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5440 and 2312?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 4*h = -12*b + 109, 2*b - 208 = -2*h. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9399, 9759, 10145, 10569, 11043, 11579, 12189, 12885?\nAnswer: 13679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 44. Suppose 5*p + w - 56 = 0. Solve -k - p - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.6 (c) -17 (d) -0.3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 9. Let r be w(-4). Let t(y) = -y**3 - 6*y**2 + 7. Let m be t(-4). Let p = r - m. What is the greatest common factor of p and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*w - 1214256 - 2007285, 0 = -2*w + 2. Suppose 10039386 = -9*y + g. Round y to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -19, -2, 0.4, -6 in decreasing order.\nAnswer: 46, 0.4, -2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172575*o - 420568?\nAnswer: 172575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z + 2548 + 332*z - 2560. Let o be p(2). Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 - -44?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238992 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372 a factor of 25809214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, 6, 7.\nAnswer: 6, 7, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/84 + r**6\/60 - r**5\/40 - r**4\/24 - 6*r - 2. What is h in o(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897119?\nAnswer: 897119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21)*w**(2\/7)*w*w*(w**(-5)*w)\/(w\/(w\/w**(2\/5))))**(-1\/4) assuming w is positive.\nAnswer: w**(53\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*p - 367 = 228*p - 12261 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 9*a**2 - 8*a + 1\/4*a**4 + 0 = 0. Calculate a.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -757 - -756.7. Sort 1\/8, -0.5, l, -5.\nAnswer: -5, -0.5, l, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4546.8 - 4547. Let t = 5.1 - 1.1. Which is the nearest to 0.06? (a) j (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*y**2)*(-455*y**2 - 8 + 235*y**2 + 234*y**2).\nAnswer: -28*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 340411920 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**2 + 16*b + 25*b**2 - 4*b**2 - 8*b**2.\nAnswer: 44*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = -20. What are the prime factors of 4\/(-1) - 160\/h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17169, 33884, 49703, 64182, 76877, 87344?\nAnswer: 95139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113203 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 24. Let m(z) = 2*z - 1. What are the prime factors of m(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 4*v - 60 = 0. Let d(g) = g**2 - 6*g + 6. Let t be d(6). Suppose 4*x + 20 = 0, -2*k + t*x + 1242 = v*x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*-17.9\nAnswer: 680.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7611825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 35. Suppose 4 = -3*b - 11, 5*b - 107 = 4*i. Let h be m(i). What is the biggest value in -3, h, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(2299) + sqrt(2299) + (-1 + sqrt(2299))*-3)**2 - ((sqrt(76)\/(sqrt(12)\/sqrt(3)))**2 + 0)) + -2).\nAnswer: -2287 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-135)\/6)\/9*-2. Suppose 7*x + 25 = -r*g + 2*x, -15 = 3*g - 2*x. Let o(k) = -5*k**2 - 25*k - 4*k**2 + 4 + 4*k**2 - k**3 + 23*k. Give o(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.13 and -26257 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2170196559 or 2170196560?\nAnswer: 2170196559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + y - 6. What is h(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + (sqrt(17) - (sqrt(1088) - -2*sqrt(1088)) - sqrt(17)))**2 + ((sqrt(2448) + 0)*-5)**2*3)*-6.\nAnswer: -1160454 - 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38959058 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 10*b**2 + 16*b + 64. Calculate i(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:59 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*v - 141*v - 13*v - 299*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a day in seconds?\nAnswer: 93600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5.1. Let u = 1 + s. Let l = 26 + -24. What is the nearest to u in l, -2\/25, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148649?\nAnswer: 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + b - 162 = 0, 6*x - 2*x + b - 216 = 0. Let o(a) = a**3 + a + 26. Let s be o(0). Let t = x - s. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) -0.1091507 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, m: 4}. Give prob of sequence eem.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 646593.3 centimeters in nanometers?\nAnswer: 6465933000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 27*o + 29. Let y be q(-13). Solve y*t + 4 = 15*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**4 + 29 - 32\/5*a**5 - 16\/3*a**3 + 0*a**2 + 0*a. Find the third derivative of s(q) wrt q.\nAnswer: -768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(200\/30) - (-226370)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t + 5. Let a(z) = z**2 + 3*z - 4. Give 5*a(w) + 4*l(w).\nAnswer: w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -182\/5*g**3 + 2\/5*g**4 + 542\/5*g + 364\/5 - 6\/5*g**2 = 0.\nAnswer: -1, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let i(l) be the second derivative of l**3\/6 - l**2\/2 - 2263*l. Determine 6*h(n) + i(n).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-16)\/j)**20)**(-1\/6))**(-1\/12) assuming j is positive.\nAnswer: j**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1779627330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 83. Suppose 40 = c - x. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63145 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116 + -20 - 110) + 88?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3386 - 3378. Which is greater: f or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 2, y: 4, s: 5, c: 1}. Give prob of picking 1 r, 1 y, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 14*s**5\/5 - s**2 + 27. Find the second derivative of l(z) wrt z.\nAnswer: 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 703981447 divided by -54152419\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0*-102.6503\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -46) + (-6 - 1) - (-3 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -556223998*p**3 + 56089795*p**2.\nAnswer: -3337343988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.5 times 1.2?\nAnswer: 252.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d. Let m(l) = -2*l - 7. Let p(u) = -u - 3. Let f(o) = -o**3 - 3*o**2 + 4*o - 2. Let y be f(-2). Let b(x) = y*p(x) + 6*m(x). What is w(b(i))?\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13870.99 - -13871. What is the third biggest value in 1\/4, g, 14, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1455, 104?\nAnswer: 1455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8970 by -2.\nAnswer: 4485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7392.21 - -7342. Let g = -50 - u. Let p = g - 0.41. What is p rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(((-12)\/(-15))\/2). Let l = 44 + 31. Calculate the greatest common factor of l and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-205)\/(-45))*1. Suppose -4*y = -2*i + 34, 26 = 11*y - 13*y - 8*i. Which is the third smallest value? (a) x (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2)*3 + sqrt(240)\/sqrt(4)*-4)\/(3*(sqrt(1728) + 1*sqrt(1728) + sqrt(1728))*2).\nAnswer: -sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-10))\/((-771)\/(-6425))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 7}. 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: Find n such that 76\/5*n**2 + 0 - 24*n + 0*n**3 - 4\/5*n**4 = 0.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - -1) + (6 + -16 + 13 - -3) + 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + l**2)*(-4*l**2 - 2*l**2 + l**2) - 205 - 2*l**4 + 199 - 2*l + 0*l**4.\nAnswer: -12*l**4 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47717*d**3 + d**2*n**2 + 10*n**2 - 4784 wrt d.\nAnswer: 143151*d**2 + 2*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12022 and 4688.\nAnswer: 28179568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:29 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:17 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 104090.37 months?\nAnswer: 86.741975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831007?\nAnswer: 23, 79609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1*5\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32323492 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 436353.39us in hours?\nAnswer: 0.000121209275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 138*g**2\/5 + 4473*g\/5 - 20164\/5.\nAnswer: (g - 4)*(g + 71)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 13 = 0. Let n be (-60)\/(-9)*12\/1. Suppose 4*c = t + 4*t + n, t = -z*c + 71. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppb when four letters picked without replacement from bbpbbbbbbbbbppbb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 241032\nAnswer: -23\/120516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -54. Let v(u) = -11*u - 8. Let l be v(m). Suppose 0 = -f + 5*x + 72, 37 = f - 2*x - l. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-9) - (-20)\/90. Let f be ((-14)\/(-7))\/(j\/(-4)). Suppose -f*n = -2*b + 16, 12 = b + n - 2*n. Calculate the remainder when 46 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 131*d**4\/24 + 1571*d**3\/6 - 4153*d**2. Give u(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = 3*u - 6*u. Suppose -b - 2*a - u = 60, -4*a = -8. Let v = 351 + b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 13*q - 1062 - 3801 + 809 - 4*q to i + x*q and give i.\nAnswer: -4054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 364*l**6 - 13*l + 25*l - 26*l**6 + 64*l**2 + 963*l**6 wrt l?\nAnswer: 156120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -49. Let u = y - -27. Do -0.1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.7. Let u = 1.62 - 1.9. Let m = u + 0.38. Which is the third smallest value? (a) m (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19392\/(-23634) - (-1)\/((18\/(-4))\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002025 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8394283kg?\nAnswer: 839.4283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 199970 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11661, 2, -3, 5, 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y**2 - y - 47. What are the prime factors of g(24)?\nAnswer: 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18680 or -12423?\nAnswer: -18680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*i - 240 = 0, -3*x + i - 6*i - 186 = 0. Let m = 96 + x. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**3 + 6*h**2 + 5*h - 7. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*6\/4. Let i be -2 + (11 + 1 - a). Let u = 56 - 52. Solve -3*f = -u - i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110022 - -11221120?\nAnswer: 12101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, 2429, 6567, 12371, 19847?\nAnswer: 29001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by -7063.\nAnswer: 300\/7063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100640 = 80*z - 0*z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 14*r**3 + 9. Let h(k) = -14*k**3 - 10. Let n(j) = 4*a(j) + 3*h(j). What is the first derivative of n(q) wrt q?\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 4. Let y be f(5). Which is smaller: -2\/105 or y?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1013*y - 87. Is r(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d + k + 287, -5*k = -2*d - 2*k + 15 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -76*y**2 - 2771*y - 62. Give r(-36).\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.1274\nAnswer: 0.01274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708452027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 28 = 32. Let i(r) = -r + 7. Let a be i(-4). Calculate the smallest common multiple of m and 36*(a\/14 - (-10)\/(-35)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2427*y + 148069. Give x(-61).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728 and 621816?\nAnswer: 4352712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 11. Let j be k(-13). Let u be (-3 + j)*(-12)\/(-10). Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + 0.19. Let c = 14 - 14.3. Let v = -0.2 + -0.3. What is the biggest value in v, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 4928*v + 3035648.\nAnswer: 2*(v - 1232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4210515811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 221592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -48*o - 26. Let v be p(9). Let i = -453 - v. Factor -5\/3*q**i + 10\/3*q**3 + 5\/3 - 10\/3*q**2 + 5\/3*q**4 - 5\/3*q.\nAnswer: -5*(q - 1)**3*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2186030 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9889 and 0.04?\nAnswer: 9889.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let u(q) = 401623*q. Calculate p(u(o)).\nAnswer: -161301034129*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61113057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b + 8*b - 2724 + 2772 + 273*b**5 wrt b?\nAnswer: 5460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6658084541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u + 6. Let m(q) = 7*q - 5. Let b(a) = 3*f(a) + 4*m(a). Let l(v) be the second derivative of 1\/2*v**2 + 0 + v - 1\/3*v**3. Give -3*b(x) - 7*l(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 393997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*(-1 + -7). Let m(c) = -c**3 + 3*c**2 + 6*c - 4. Let g be m(u). Suppose -b - 78 = -g*b. What is the remainder when 51 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-147)\/14)\/((-123)\/12)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -142 and 590.35.\nAnswer: 448.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -34 + 134. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10534, 10533, 10534, 10537, 10542, 10549, 10558?\nAnswer: 10569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 360*1000\/(4 + 0). What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = -8*p - 4*g, 1 = p + 2*g. Let u be p - ((-56)\/7 - -8). Let f be 3 + -1 - (3 + -3). Solve a = f + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*h - 20 = 8*h, 2*i - 4*h - 20 = 0. Suppose -3*m = -3*l - 0*l + 27, 3*l + m - 7 = i. Suppose l*n = -4*n + 280. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x**2 - 7*x**2 + 5*x - 23*x. Let k(i) = i**2 + i. Let g(m) = 18*k(m) + r(m). Let n(h) = 4*h. Give g(n(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 3*a - 2*a**3 - 36 + 5*a**3 - a**4 + (a**2 + 7*a**2 + a**2)*(4*a - 4*a**2 - 4*a).\nAnswer: -37*a**4 + 3*a**3 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3754 = p + 4212, 2*t - p = 15928. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1105 and 4420?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -9 - (18 + -14)) + -38\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4*r - 3 + (-15 - 53 - 10)*(-12 + 12 + 2*r).\nAnswer: -160*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821230611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 12*g - 112)*(3*g - 25 - 2*g**2 + 25).\nAnswer: -24*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1713 + 9698. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, 4, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 20. Solve 10 = -3*f - a - 6, -4*f + c*a + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 + -339. Suppose 2*t + 100 = 6*t. Let n = s + t. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -47, 13, 208 in ascending order.\nAnswer: -47, -4, 0, 13, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 38*l + 800. Let y be g(-20). Let x be (39\/(-15) - -3)*75. Calculate the greatest common factor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -941*d**4 + 579.\nAnswer: -3764*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49067*m**5 - 21*m**2 - 4311117*m wrt m?\nAnswer: -981340*m**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 650*f**4 - 15785*f**3 - 309640*f**2 + 8578300*f - 45034000 = 0.\nAnswer: -23, 10, 44, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3\/((-186)\/(-4)). Let q = 14.6 - 3.2. Let d = q + -12.4. Which is the closest to d? (a) 4 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0448 + 2.9632. Let y = -3 + r. Let a = y + -0.035. What is a rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398\/19 or 22?\nAnswer: 398\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, 1 v, and 1 r when four letters picked without replacement from gervgevgg?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 256. Let y(p) = -3*p + 1. Let t(u) = -2*u**2 + 18*u - 6. Let c(d) = -t(d) - 6*y(d). Determine m(c(i)).\nAnswer: -4*i**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59246828?\nAnswer: 2, 31, 477797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - 76. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2*v**3\/3 + 1. Let r(s) = -35*s + 16*s + 20*s. Give r(n(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3*u - 3*u - 2 + 1. Let h(q) = 11*q. Let j(r) = -h(r) + 4*l(r). What is the first derivative of j(k) wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-5)\/((sqrt(81) - (sqrt(81) + sqrt(81) + sqrt(81) + 1*sqrt(81)))\/sqrt(9)).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6 + 59*r - 51*r - 12 + 20 + 2*r**2 + 26. What is the tens digit of v(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, f: 2, w: 2, y: 8}. Give prob of sequence yyfz.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*q**3 + 43 - 43)*(2 - 1 - 4*q + 3*q) as o*q**4 + g*q**2 + v*q**3 + t*q + i and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 23 = 5*v, 2*o - 5*v + 4*v = 2. Suppose 3*a - 8*a = -2*f + 15, 2*f - 4*a - 10 = 0. Does 3 divide (6 - f) + o + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 40 = -11*n. What is the lowest common multiple of 117 and (-1 + -35)*-3*2\/n?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/6)\/(48\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149894341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300057 = 12747*g + 388281 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*l - 9*l + 3*l)*(5 + 5*l - 5)*(0 - 4 + 19) in the form s*l**2 + t + c*l and give s.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505 times -5798.7?\nAnswer: -37720543.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.32 - -1.78. What is b rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*c + 56 = 129*c. What is the remainder when 287 is divided by c\/5*525\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 + (1 + 3 - 8) + 3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 710890554 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 71 = -2. Suppose -3*m + 1 + t = 3*h, 4*h + 10 = 3*m. Suppose m*w - 25 = w. Solve 0 = w*b - 17 - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 20, -5*r + 124 = -4*p + 8*p. Let c = -4 + 17. Let h = c - -1. Calculate the greatest common factor of h and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*j**2 + 57*j**2 - 20*j**2 - 15*j**2 as m*j + k + b*j**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*c + 117, o - 12 + 138 = 3*c. Suppose 14*h - c + 15 = 0. Solve -8*g = 4*x - 3*g + 12, g = -h*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = 8. Let b = 121 + -117. Sort b, 1, k.\nAnswer: 1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxstvxnvtsxnnn. Give prob of picking 2 t and 1 s.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + 2*y + y)*(-y + 60*y**2 + 69*y**2 - 126*y**2) to a*y**2 + g*y + u*y**3 + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {l: 1, v: 1, a: 1, z: 1, s: 1, x: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148\/63 + 1\/63. Suppose 3*t - 3*a = 4*t - 16, 160 = 5*t - 5*a. Suppose 14*s + t = -14. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z - 30. Let y(a) = -a - a + z*a - a. Let p(d) = -d. What is y(p(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(272\/(-134)) - (-390)\/78. Factor -4\/17 + 22\/17*n - c*n**3 - 24\/17*n**2.\nAnswer: -2*(n + 2)*(3*n - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 7*r + 16. Let h be f(-8). Is 20 a factor of (-6)\/h + (-241)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -1\/12*x**4 + 0 + 0*x**3 - 121\/10*x**5 + 0*x + 2*x**2. Let j be h(-2). Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 bigger than 377\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.17? (a) -1 (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*j + 29. Calculate the highest common divisor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8597343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 2*t + 6. Let u be h(3). Let n = u + -34. What is the third derivative of -m**2 - 4*m**2 + 9*m**n + 16*m**2 + 42*m**6 wrt m?\nAnswer: 5040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123821104 and 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 5. Suppose -1 = -2*o + 2*c - g, 0 = 4*o + 4*c + 40. List the prime factors of (-11)\/(-2) + 9\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3471 + 3471 - 107*n**2.\nAnswer: -107*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 81. Suppose 3*r = 6*r + 3, 3*z - 3*r = -9. Let l be z - -4 - (-4)\/(-10). Put l, m, -3 in increasing order.\nAnswer: m, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4740 - 4738. Which is the nearest to -9? (a) s (b) 5 (c) 6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -56*1 - (-2 + 5). Suppose z*a + 468 = 58*a. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*o + 22*o. Let r be o\/((-1)\/(-1) + 0). Which is the nearest to r? (a) 2 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3383 - -7527. List the prime factors of w.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oktkrepepepp. Give prob of picking 1 r, 1 o, and 1 e.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 - 11. Let z be j(5). Let m = -2.8 + 3.2. What is the third biggest value in z, 1, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-44)\/8*19\/(-19)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10 = 6. Let k be 3*(8\/36)\/(g\/(-186)). What is the greatest common factor of 124 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 14 + -35 + 24 + 0 + 0 + -6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14784 and 352?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and 1066.661.\nAnswer: 1066.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 0, -104, -250, -438, -668, -940?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-28))\/((-4)\/(-14)). Determine v, given that -2*v**g + 2*v**2 + 3*v**2 - 3*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76432083 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*g + 29704 = x, 4*x - 39604 = 2*g. Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3581 + 71*o + 32*o - 384 + 564.\nAnswer: 103*o + 3761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m. Let s(z) = 3*z - 9. Let q(y) = -2*y - 2. Let i(v) = 3*q(v) - s(v). Let b(r) = -2*r + 1. Let x(o) = -12*b(o) + 4*i(o). Calculate x(c(u)).\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55 - 141303770.5\nAnswer: -141303825.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.119 and 179240.9.\nAnswer: 179241.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9588.8559 to the nearest ten.\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from cecceceyecceecyeeec?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 19*k - 7*k**3 - 11*k + k**3 + k**3 + 6 - 2*k**2.\nAnswer: -2*(k + 1)**2*(2*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - 0) + (174 - 209).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -3*g, 5*h - 2*g - 3*g - 35 = 0. Calculate the highest common divisor of 9 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-6))\/(-324)*9\/(-12).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -57 + (-2 + (-2 - -4) - -7).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q. Let g(l) = 2*l**2 + 53*l. Determine g(a(y)).\nAnswer: 18*y**2 + 159*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1962515, 1962506, 1962497, 1962488, 1962479?\n\"Answer: -9*v + 1962524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or 0.5?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2\/3*x**5 - 14\/3*x**3 + 0*x**4 - 16\/3 + 4\/3*x**2 + 8*x = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (112\/(-63))\/(2\/24) and -62\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/7)\/w*w*w**(-17) assuming w is positive.\nAnswer: w**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 14*y - 60. Let c be z(18). What is the common denominator of c\/9*(-354)\/(-48) and (-2)\/(-1 + 64\/37)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168264427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(288)*3)*-2*-4)\/((sqrt(8)*1)\/sqrt(2) - -4*sqrt(8)\/sqrt(2)).\nAnswer: -136*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s**4\/4 - 1767815*s**3\/4 - 19337141*s**2\/4 + 1532707*s\/4 + 1296999\/2 = 0. Calculate s.\nAnswer: -11, -1\/3, 2\/5, 117909\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/((z*z**5)\/z*z)*z*z**(-4)*z*z*z**(-3\/5)*z*z*((z*z*z**(5\/6))\/z**(4\/7))**(-15) assuming z is positive.\nAnswer: z**(-2907\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -1694191.\nAnswer: 1694182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472614 is divided by 210?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1784 - -1784.0275. Round k to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from lbqbbelrbe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38461895 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5472)*4 - sqrt(5472)))\/(2*sqrt(242) + sqrt(10)\/(sqrt(20)\/sqrt(4)) + sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = 191 - 163 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-16))\/(30\/(-6740)). Let g = 42 - k. Let y = -45\/8 + g. What is the common denominator of 69\/2 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let p(k) = -21*k. Let t be 3\/(-12)*((-100)\/(-10) + -6). Calculate t*p(a) + 4*v(a).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -3478?\nAnswer: -3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + n**3 + 4 - 1 - 173*n**2 + n**2 - 43*n**2 as f*n**3 + d*n + h + c*n**2 and give c.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2 + 205*h - 866. Give q(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 7. Let v(u) = -5*u**3 + u + 1. Let s be v(f). What is the units digit of s*1*(-24)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/6*6\/9. Let r(j) = 5*j - 1. Give r(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:57 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - 1 - (9210 - 9170)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/35, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15653800 = -44*x. Round x to the nearest one thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9649 - 0.0451. Let z = v - -0.01. Which is the closest to 0? (a) 4 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2565)\/(-18)*4\/3. Let b = f + -77. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**2 + 935*t + 97. Give r(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 3}. Give prob of sequence nnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t + 89. Let g be d(-4). Let o be (-1878 - g) + (-12)\/8*2. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/43 + -239\/172. Let p be 20\/50 - (-6)\/35. Let l be ((-3)\/45)\/((-9)\/(-15)). Put l, p, c in descending order.\nAnswer: p, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 2. Let l(g) = -5*g - 1. Let s(a) = 2*l(a) - 9*z(a). Calculate s(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006056 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 divided by 6?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.5. Let m be ((-5)\/150*-9)\/(18\/15). What is the third biggest value in a, m, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:53 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Suppose -n = 4*n - w. Let b(v) = 10*v**2 - 2*v + 1. List the prime factors of b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63017892115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.375 + -0.025. What is the nearest to -0.3 in l, -3\/2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 + 91?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3086.2 - 2838. Let a = 248 - q. Let f = 3 + 0. What is the closest to f in a, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(14\/(-3))\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -4*g - 3, -2*g + v = -3. Suppose -g*d + 12 = 3. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035 is divided by 265.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 4*n - 5*n. Let o = n + -48. Let p = o + -21. Solve -3*u = 4*f - 1, f - 3*f - 4*u + p = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2.93. Let q = -0.57 + w. Let y = 16 - 9. Sort y, -0.2, -0.1, q in ascending order.\nAnswer: q, -0.2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2696852 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 7*h + 3. Suppose -10 = 5*f + 15. Let p be o(f). Suppose -3*m + 110 = -p. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 78*q + 1350.\nAnswer: (q + 18)*(q + 450)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2. Let b(d) = -9*d + 6. Let p(q) = -8*q + 5. Let v(j) = 5*b(j) - 6*p(j). What is v(c(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019799062 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzbcdggzzzddggd. Give prob of picking 1 b, 2 g, and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 4. Suppose -4*i = -0*i. Let f be x(i). What are the prime factors of ((-21)\/12 - -1)*f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114635, 114633, 114631?\n\"Answer: -2*r + 114637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-859*p**2 - 2480*p**2 - 1439*p**2 - 408*p**2).\nAnswer: -5186*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/(-62))\/((-14)\/(-32))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {l: 2, o: 3, g: 1, e: 4, m: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 318*p + 1917. Determine l(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -0.03, 2\/3, -0.52, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by 135.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 122, 3\/4 in descending order.\nAnswer: 122, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -30 (c) 53 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -1928\/109?\nAnswer: -1928\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5 = -t, -2*t = t + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2805 < -2810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-516)\/2967 + 17444\/(-3381)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -74. Let a be 1\/(-2)*(-368 - i\/(-7)). Suppose -5*h = -4*p + 58 + 283, -2*p + 5*h + a = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/21893 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331577.\nAnswer: 2331577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.3 + 11.54. Let f = -4 - -4.16. Let u = n + f. Sort 0.7, -5, u.\nAnswer: -5, u, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*b**4 + 10132*b**3 - 325132*b**2\/7 + 168416*b\/7 - 23232\/7 = 0. Calculate b.\nAnswer: -1452, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59096536.\nAnswer: 2, 19, 388793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = -3. Suppose c + r = -2. Suppose 0*p + 8 = -3*p - 5*a, 5*a + 12 = -2*p. Sort p, c, -4 in descending order.\nAnswer: p, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azz when three letters picked without replacement from {v: 1, z: 2, a: 3, l: 10}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 5408*b + 21568.\nAnswer: 4*(b + 4)*(b + 1348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11384190 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 6*y**2 + 6. Let w be k(6). Let r(b) = 4*b**2 + 58*b + 57. Let g be r(-1). Suppose w*c - 180 = g*c. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705430 is divided by 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47299 by 3.\nAnswer: -47299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 7. Let h(k) = 6*k + 13. Let v(y) = 5*f(y) - 3*h(y). Let p(l) = -15*l + 6 - 2 + 5. Let b(w) = 4*p(w) + 9*v(w). Let q(t) = 2*t. Give b(q(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240180\/5593 - 2106\/47. Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -577*s - 6*s**2 + 577*s. Let c(j) be the second derivative of -j**3\/6 + j. What is c(r(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313007 = -101*m - 162925 + 299974. List the prime factors of m.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (-2 - (-5 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93637.53mg?\nAnswer: 93637530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 12, l: 2, k: 2, x: 1}. What is prob of sequence lklk?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0 + 2*h + 0*h + 3. Let y(k) = -k**3 - 3*k - 4. Let u be (2 + 0)*42 + (-27)\/(-9). Suppose 83*t + 12 = u*t. Determine t*v(a) + 2*y(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 11, -1\/3, 2188.9, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n - 146. Let r be m(10). Suppose 5*j + 3*u - 6 = 0, r*j + 14*u - 8 = 10*u. Solve 3*x - 6*t = -2*t + 35, j = -4*x - 4*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2) - 88\/(-88)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - (-3 - -20). Let a be f\/(-10) + (-34)\/(-4). Let w = a + -5. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5039 - 1277.7\nAnswer: -6316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 149*q - 11 - 143*q.\nAnswer: 6*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1180 + -113279\/96. Let t(o) be the third derivative of -1\/24*o**3 + 3*o**2 + 0*o - r*o**4 + 1\/240*o**5 + 1\/480*o**6 + 0. Factor t(d).\nAnswer: (d - 1)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 + 4 = -3*s. Let d(t) = -96*t - 2. Let v be d(-1). Let r = s + v. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 55?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164364 by -2.\nAnswer: -82182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ddkvvdvkvdddvdd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 29*l**2 + 4*l - 5. Let s(b) = 24*b**2 + 4*b - 5. Let x(m) = 5*p(m) - 6*s(m). Calculate the remainder when 47 is divided by x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa32 + -5?\nAnswer: -aa37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 22, 2\/51, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 2*o - 4 = 22*f, -13 = 4*f - 3*o. Put f, -5, 38 in descending order.\nAnswer: 38, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*m = -7*m + 12, 5*m - 8 = 3*g. Factor -68*a - 33*a**3 + 17*a**3 - 24*a - 49 - 20*a - 78*a**2 - a**4 + 0*a**g.\nAnswer: -(a + 1)**2*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 5310.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-16)\/(-12). Let r = -3 - j. Let m be (-12)\/(-10) + (r - 0). What is the biggest value in -1\/2, m, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 - 492.3. What is the third biggest value in -15, r, 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*j**2 + 1846*j + 574443 wrt j.\nAnswer: -156*j + 1846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/46456832 and -37\/147446?\nAnswer: 603938816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 8:22 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0\/d**(4\/7)*(d**(-1))**(14\/9) assuming d is positive.\nAnswer: d**(-134\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123293556 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 2*h - 84, p - 5*h - 39 = 0. Suppose 0*i - 3*t - 145 = -4*i, 5*t = -i + p. Which is bigger: i or 33?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + (14 - 28) + -84?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201328 divided by -16.\nAnswer: -12583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmjmmmmmjjmm. What is prob of sequence mmm?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3102214170 + -3102213480.9999762. Let q = k + -689. What is q rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - v + 1. Let o be m(-2). Let t = -12 + o. Suppose -4*f - z = -2*f - 11, -t = -4*f + z. Solve -f = -x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75055 is divided by 331.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 - 3*k**2 + 6*k + 6. What are the prime factors of j(4)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 6*v - 5. Let f be d(-6). Let t(i) = -i - 7. Let x be t(f). Let n(c) = -2*c**3 - 3*c**2 - 3*c - 1. Does 3 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:17 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -23457?\nAnswer: 16\/23457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -3. Let z = -11 + w. Solve -5*s - 15 = -0*s + z*a, s + a + 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 2, j: 1, a: 8}. Give prob of sequence aay.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.16 + -2.1600066044. Round d to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + (-33)\/7. Let r = u - -5. Which is the nearest to r? (a) 0 (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 28. Let p be d(-6). Solve -5*f = -p - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-846)\/45 + 10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -104484337 bigger than -104484339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/2, 0.5, 1\/12, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xunnunnxnx. What is prob of sequence nn?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 14*o**2 + 5. Suppose -6 = z + 4*y, 2*z + 37 = -2*y + 55. Determine v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f + 74 - 1\/3*f**3 - 3*f**2. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408169 is divided by 1204.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (485\/388)\/((-1)\/(-8)). Solve 3 = 5*w + 2*o - b, -3 = -2*w - 3*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6808 (b) -2 (c) 0.5 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -681173 (base 11) to base 8\nAnswer: -4107046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 * 10574.18.\nAnswer: 391.24466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 9*g - 16. Let t(s) = 6*s**3 - 9*s**2 + 4*s + 7. Let u(j) = -5*j**3 + 8*j**2 - 3*j - 6. Let k(c) = 4*t(c) + 5*u(c). Determine k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*g - 18 = 0, 4*x - x + 2*g = 17. Suppose -2*k + 11 = x*m, -25 = -4*k - 3*m - 10. Suppose -k*t + 2 = -10. Solve 4 = t*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*v**4 - 8*v**3 + 848 wrt v.\nAnswer: 88*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:40 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjjjjdddddjddddjd. What is prob of picking 2 d and 2 j?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 v, and 1 f when four letters picked without replacement from vififvfv.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/(-8))\/(1872\/576))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-595)\/408*-8*-12*4\/(-40)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/306*(6 + -3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-90)\/(-12)*7\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 5*n - 240. Let x = 20 - n. Solve h = -r + 1, x*r + 4*h - 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-47)*i**(-1)\/(i*((((i\/(i\/i**(-2\/3)))\/i)\/i)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Suppose 3*q + s = 4*q. Find the second derivative of 5*w - w**5 - 3*w + 3*w + 7*w**q wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 155943*x**2 + 5454702*x + 19323912 = 0 for x.\nAnswer: -51946, -31, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aws when three letters picked without replacement from aswa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.5, 24053 in decreasing order.\nAnswer: 24053, 1\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 15*l + 33. Let u be d(-3). Let k be -2*(u + 5) - -59. Calculate the greatest common divisor of 66 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 9072?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566 - 130*m**3 - 568 - 61*m**3 + 1134.\nAnswer: -191*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/(o\/((o\/((o*o**(-2\/41)*o)\/o))\/o*o)))\/((((o*o**(-4))\/o)\/o)\/o)**(-25) assuming o is positive.\nAnswer: o**(-5779\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -57*d - 465. Is 8 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 156*s**3 + 1392*s**2 + 944*s - 2496 = 0. What is s?\nAnswer: -26, -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35218 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6508710 by 50067.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 11, i: 1}. What is prob of picking 2 f and 1 i?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1)**2 + -2 - (5 + sqrt(567)*-1)**2.\nAnswer: -26 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/8)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-6)*2*18\/12. Suppose -3483 = -w - b*u + 14901, 0 = 5*w + u - 91996. What is w rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:08 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*l + 2 = 2*l, -2*l = 2*t + 4. Let h(o) = o**3 + o**2 - o. Let p be h(t). Let j be 0\/(p - -1) - 2. Put j, -1, -5 in ascending order.\nAnswer: -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 398828 in ascending order.\nAnswer: -1, 5, 398828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-18))\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 4, a: 4, m: 3}. What is prob of picking 1 n and 3 a?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009519 + 15*p**2 + 1009519 - 15*p**2 + 5814*p**3.\nAnswer: 5814*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302888*v**2 + 15 - 4*v - 302886*v**2 - 8*v.\nAnswer: 2*v**2 - 12*v + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.22.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**3 + 67*d**3 + 0*d**3 - 7*d**3.\nAnswer: 31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.4. Let w = 0.51 - -0.09. Let q = w - g. What is the closest to 0.1 in q, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-48))\/((-1)\/(-2)*-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -5*m + 2*m, -o = 5*m - 22. Suppose o*c - 28 = -2*c. Let h = 13 - c. Solve 10 = 4*n - h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1437 + 374. Let a = -812 + c. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 8 = 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-21) - 1\/1. Let p = 1404.4 + -1401.4. Which is the fourth biggest value? (a) p (b) 13 (c) k (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpcdpppiizli. What is prob of sequence zd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3*q**2 + i**3 + 2*i*q + 306*q**2 wrt i?\nAnswer: -6*i**2*q**2 + 3*i**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -6*(0 + sqrt(468) + 1))**2*-5.\nAnswer: -84365 - 1800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = 349*h - 8976 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/23 + 515\/69. Which is the third biggest value? (a) -5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -0.5, -0.1, 37, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 306*c + 23618. Calculate x(-64).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than 3388255835?\nAnswer: 3388255805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74aa4 (base 13) to base 2.\nAnswer: -110011011001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -11, -24, -33, -38, -39?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/130*(-10)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 3*k = -201, 4*h - k - 211 = 0. Let i = -70 + 74. Calculate the lowest common multiple of h and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.5 + -15. Let a = 2.5 - z. What is the nearest to 0 in -3, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.775950001 rounded to 3 decimal places?\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 2*k + 225. Let j(m) = -9*m**2 - 5*m + 449. Give 2*j(p) - 5*o(p).\nAnswer: 2*p**2 - 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 20 + 40. Let k be 24\/g*5\/2. Solve -5*t + 1 = -k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 3*d**2 - 3*d - 4. Let v = 23 - 14. Suppose 4*r = -u + 5*r + v, 5*r + 25 = 0. Let p be -3 - ((-4)\/22 + u\/22). Give l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0892974 - -26989488\nAnswer: 26989487.9107026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 2*y - 2*y + (1 - 10 - 9)*(y - 2*y + 0*y))*(-2 - 10*y + 4 + 0*y) to j*y**2 + x*y + g and give j.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2942*g - 2941*g + 5884*g - 4.\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1349\/71 - (-69)\/3. Solve 0 = 57*x - 50*x - m for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + o**4 - 2*o**4)*(0 - 2 - 1)*(-4 - 1 + 1).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/10 - 7821\/(-15). Is 523 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 5*m + 23, -193*x + 5*m = -194*x - 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 - 40*t**2 + 13*t - 58. What is j(-8)?\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352485202 to the nearest integer?\nAnswer: 18775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 12*r**2 - 462*r + 968.\nAnswer: (r - 44)*(r - 2)*(r + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + q + 3. Calculate the remainder when t(-6) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12 + 160\/210?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-6)\/(2 + -5). Suppose 2*s + 4*k - 110 = 0, 2*s - 3*k - n*k = 74. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 123023?\nAnswer: -123032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 939*c - 67*c)*(3 - 2 - 3) + (-2*c - 2*c + 3*c)*(-2 + 0 + 0) - c + 2*c - 4*c.\nAnswer: -1725*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 236. Let g = 245 - o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 950*s**2 - 2*s**3 - 4*s**4 - 949*s**2 + 6*s**4 - 3*s + 1 to the form k*s + q*s**3 + h*s**2 + y + w*s**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 3, x: 1, q: 4, y: 4, b: 4}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*w + 19, -2*w + x - 6*x = -3. Suppose 4*h + 3*u = -26, -3*h = -0*h - 4*u + 32. Let j = h - -13. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*q - 46 = 0, -2*x - 2*q - 50 = -136. What is the least common multiple of (-10 - (-3 + 4) - -4)*-2 and x?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134979*y**3 + 104801 wrt y?\nAnswer: 404937*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/7))**(-3) assuming s is positive.\nAnswer: s**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*g - 123*g - 62*g)*(-4*g + 2*g + 0*g + 84 - 14).\nAnswer: 456*g**2 - 15960*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*w = 3*w + 40, -5*w = 3*k + 5. Let n(i) = 3*i - 27. Let x be n(9). Suppose t = -x*t + k. Solve -8*v = -3*v + t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*5*(310\/550)\/(-31)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + g**2 - 2*g**2)*(g - g + g**2) + (-11 - 5 + 2*g**3 + 57*g**2 - 56*g**2)*(-1 + g + 1) in the form z*g**2 + j*g + u*g**4 + y*g**3 + n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/1*(9216\/600)\/(-128).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135513997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4799430 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32630 - 30257. What is the lowest common multiple of r and 126?\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - 7 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11*c = -72. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -942278*q. Let h(z) = -13*z + 6. Calculate h(o(f)).\nAnswer: 12249614*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**3 - 12*f + 5. Let d(r) = r**3 - 13*r**2 + 15*r - 32. Let j be d(12). Is c(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p**3*z**3 - 5*p**3*z - 5*p**3 - p*z**2 - 75 wrt z?\nAnswer: 12*p**3*z**2 - 5*p**3 - 2*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = j - 38, 0 = -j + 4*b + 27. Let v = 66 + -31. Suppose -10 + v = 3*m + c, -m - 5*c = j. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 15, -5*p + 3*z = -15. Suppose p = 3*y, -r = 2*y - 3*y - 42. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587417 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: Let b(m) = 3*m**2 - 3*m - 13. Let v be b(3). Let s be (-2 + (-1)\/(-3))*3. Sort s, 0, v.\nAnswer: s, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -46*z**2 + 4798*z + 3365. What is u(105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-24 + 1)) + -3 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316 + 1496. What are the prime factors of q?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.2574.\nAnswer: -0.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47805, -95618, -143441, -191274, -239117, -286970?\nAnswer: -334833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1896*o - 1887*o + 3766*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 79584.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5909*f**2 + 0 + 0 + 5911*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 28*g**2 + 43*g - 40. Let h be l(27). Calculate the greatest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1326723 and 43\/14907.\nAnswer: 1326723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1128 rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1241*z + 3551. Give w(-3).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122 + 116)*(-5)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1246 + -1259. Sort -7, w, 4.\nAnswer: w, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 105*q\/2 - 452.\nAnswer: (q - 113)*(q + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d*d**(2\/29)*d**(-1\/12)\/d**(-3) assuming d is positive.\nAnswer: d**(2431\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Let f(x) = -2*x**2 - 7*x - 1. Let w be f(-3). Let o(y) = 3*y**w + 8*y - 13*y + 10*y - 2*y**2. What is o(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(100\/7)\/((-816)\/(-59262)*83)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43.6 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from frfffrrrpprfffr.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.2 - -17. Let n = c - 1.807. Let f = 0.00700049 + n. Round f to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 23199994 = 2*y, -3*v - y - 34799988 = 3*y. Round v to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:29 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/1634)\/(168\/(-266))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17 = -3*n + 4*x, -4*n = -5*x - 32. Suppose 13 = -p - 2*b - n*b, 5*p - 3*b = 47. Differentiate -p*o**4 + 28 - 4 - 14*o**4 - 4*o**4 wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2247 - 4631.\nAnswer: -4631.2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*j + 11 = 0, -6*j - 2 = -3*q - 10*j. Suppose -14 = -2*h - q*f, 0*f + 5*f - 30 = -4*h. Solve 3*v - 4*v = -3*g - 8, h = 4*v - 3*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5917 - -5798. What is the smallest value in w, 0.1, -0.3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n - 19. Let i be -5*2\/(-1)*40\/(-100). Calculate the remainder when 76 is divided by x(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adbdeaddmemevb. Give prob of picking 1 m and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = 5 - 25. Put 2, s, 5 in descending order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144)*3 + sqrt(144))\/sqrt(3))\/(3*((sqrt(256) + sqrt(256) + (sqrt(256)*4 - sqrt(256)))*-6 + sqrt(256))).\nAnswer: sqrt(3)\/174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.9 - 29. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 - 6.18. Let i = 5.1 + d. What is the nearest to 0 in -0.2, i, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1*(1 + 0). Suppose 0 = -2*s - f*s + 10. Suppose i + s*c = -7, -c + 0 = 2. Solve -i = -2*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -1. Suppose 16 - 66 = -5*j. Suppose -j = 4*y + 5*o + 14, -3*o - g = -4*y. Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -2\/13 (c) -661\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.266742 times -0.3?\nAnswer: 4.2800226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/7*(-5)\/(-5))\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 5*w + 1. Let h be u(4). Suppose 20 + 1 = 3*l - h*s, 2*s = 0. Let g = 26 - 21. Calculate the remainder when l is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 55.18. Let p = j + 0.18. Let i be (2 + 4 - 1)*(-2)\/6. Put p, i, -5, -1\/4 in descending order.\nAnswer: p, -1\/4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, o: 9}. What is prob of sequence nnno?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3791 + 3787. Let z be 4*1*(1 + 0). Put 5, -3, z, b in descending order.\nAnswer: 5, z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 9.2. What is the nearest to 0.1 in 4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78\/95 + -8\/19. Sort -1, v, -1\/2 in descending order.\nAnswer: v, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1749, -3, 675, 1\/5 in increasing order.\nAnswer: -1749, -3, 1\/5, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 14175548?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 14) to base 4\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -966150 smaller than -966150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 5. Let t = -3257 - -3260. Let i(x) = -10*x - 10. What is t*i(a) + 5*q(a)?\nAnswer: -5*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02534854 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7578886*a. Let j(s) = 2*s. What is j(w(i))?\nAnswer: -15157772*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -6258?\nAnswer: 6254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - (-10 + 52 + -14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {l: 1, i: 1, s: 3, j: 2, v: 3, r: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*n - n. Suppose 0 = -n*d + 3*d + 9. Let z be 1 + 8*(-469)\/(-308) + 2\/(-11). Solve -d*s = 1 - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/2 - 3*d**2\/2 + 4*d. Let x be t(-2). Let g = x + 18. Solve 4*c - g*c = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135688.4884 + 1168.\nAnswer: 136856.4884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -868*x**6\/15 + 2531*x**4\/12 + 1368*x. What is the third derivative of y(a) wrt a?\nAnswer: -41664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272 divided by 1?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b\/(b*b**0*b*b)))**(-2\/13)*b**6\/(b**0\/b))**(-1) assuming b is positive.\nAnswer: b**(-85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 + -1 - (54 - -33 - (132 + -54))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m**4 + 8*m**4 - m**4 + (-5*m + 5*m - m**2)*(-m**2 - m + m) + (0*m + m - 5*m)*(5 + m**3 - 5) + 2*m**4 - 2*m**4 - 2*m**4 + m**4 - 2*m**4 + 8*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-5)*y)*y)**(-36) assuming y is positive.\nAnswer: y**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2436 >= -70607\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/14 + 3\/7 - (-3)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/295896 and 58\/1146597.\nAnswer: 9172776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*r + 200, r - 60 = -4*w + w. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322379 or 967138\/3?\nAnswer: 322379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 + 3*o**4 - 2812*o + 547 + 933*o + 935*o + 942*o to f + t*o**4 + n*o**2 + g*o**3 + j*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (-456)\/209.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 78.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 843043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24928 divided by -4\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*k**3*q**3*x - 2*k**3*q + 2*k**2*q**3*x + 10*k**2*q - 2*k*x wrt q.\nAnswer: -126*k**3*q*x + 12*k**2*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttbttmtmm. What is prob of sequence bb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5235.283ng?\nAnswer: 0.005235283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502734.\nAnswer: 2, 3, 23, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r + 1. Suppose s = -2*b - 5, 3*b + 2 = 4*s - 0. Let i(a) = -a**2 + 6*a - 2. Let y = 1 + -5. Calculate s*i(j) + y*g(j).\nAnswer: -3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose -g*o = 2*y - o - 138, -2*o = -5*y + 354. Round y to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/13, -121.9.\nAnswer: -121.9, -2\/13, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357466883?\nAnswer: 357466883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 20. Let o be g(6). Suppose -1329 = o*l - 7*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - 2*u)*(-5 + 5 + u**2) - 55*u**3 - u - 2*u + 49*u**3.\nAnswer: -7*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) -9 (b) -1\/19 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(117))\/sqrt(9) + -4 + 0 + sqrt(1300))*3.\nAnswer: -12 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 160.7996.\nAnswer: 165.7996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 8:46 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 416672?\nAnswer: -416674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -931*a**3*p - 11*a**3 + 2*a**2*p - 148*a**2 - 414*a*p + 7*a - 1963*p + 2 wrt a.\nAnswer: -5586*a*p - 66*a + 4*p - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342832480.\nAnswer: 2, 5, 23, 59, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c**2 + 1. Let t be i(1). Let m be 5 + (t + 0)\/(-1). Let f be (-2)\/m*(5 + -5). Solve -l = -f*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 2 - 75*d - d**3 + 63*d + 10*d**2. Give u(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -27*x + 40*x. Find the first derivative of 3767 + 5*m**x + 9*m**4 - 1873 - 1884 wrt m.\nAnswer: 36*m**3 + 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -3, -1\/41, 1, 3, -0.2?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 10*z - 11. Suppose -9*t - 80 = -4*t. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 95.3848mm?\nAnswer: 95384800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -747, -1671, -2965, -4629, -6663, -9067?\nAnswer: -11841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0227764 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3639 is divided by 1213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, -7, -3, 1.042 in descending order.\nAnswer: 4, 1.042, 0.6, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11439517?\nAnswer: 11439517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 38*h + 17*h)*(2*h + 0*h + h).\nAnswer: -87*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83191 by 48.\nAnswer: -83191\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -24*v**3 - 14*v**2 - 7. What is z(2)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23061.92655 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/24*(27\/(-6) - 0). Find the second derivative of 20*c + 8*c - 22*c + 38*c**d wrt c.\nAnswer: 228*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/147)\/(1198\/(-364791))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let u(k) = -162*k + 4. What is r(u(b))?\nAnswer: 486*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 + v**3\/5 + 12*v**2\/5 + 4*v\/5 - 16\/5.\nAnswer: -(v - 4)*(v - 1)*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 + 2 - 335*m**4 - 331*m**4 + 667*m**4 as u*m + t*m**4 + b + d*m**3 + f*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2980*a - 6095*a + 3019*a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/5 - r**4\/2 + r**3 + r**2 + 9*r. Let m(u) = -9*u**3 + 12*u**2 - 13*u - 5. Let w(o) = 2*m(o) + 5*v(o). Factor w(i).\nAnswer: 2*i*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 1, r: 1, j: 6}. Give prob of sequence ojpj.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:25 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 27. Give y(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*t + 177 - 177)*(-3 + 4 - 3).\nAnswer: 122*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 1. Let x be p(-3). Suppose x*m = -4*n - 14, 5*n + 0*n = -5. Let w(h) = h + 9. Let q be w(-7). Put q, 0, m in descending order.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 3\/101, -12, 39, -0.6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/4 (b) -16 (c) 19 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -4) + -16 + (-3 - (-107 - -23))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 9*o = 630. Solve -8*c + c + o = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -15\/2*m + 31\/4*m**2 - 3\/2*m**3 + 2 = 0.\nAnswer: 1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*c + 335*c + 1012*c + 354*c)*(0 + 5 - 4) to the form i + o*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2049*3\nAnswer: -0.6147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142.3 - 142.4. Which is the closest to -5.5? (a) -4 (b) t (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1005 (base 6) to base 16\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 222798*t**2 - 222798*t**2 + 15*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*m**3 + 1401 - 1401)*(-9*m - 8*m + 6*m) + 3*m**4 + 8*m**4 - 7*m**4 + (0*m**2 + m**2 - 2*m**2)*(-2*m + 2*m - m**2).\nAnswer: -1073*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120213234 + 0?\nAnswer: -120213234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6319\/385315 + 9\/707. Let k(u) = u**2 - 7*u + 7. Let m be k(6). Is m at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)\/((-164)\/(-246)). Solve -f*b = 47 - 41 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = 3*i, 3*i + 94 = -4*t + 110 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e12b + -3?\nAnswer: 2e128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (17 - 1)\/(-4) - -1. Sort b, 6, -5.\nAnswer: -5, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - -6*-2*sqrt(84)) + (sqrt(84) + sqrt(84)*2)*2)\/(sqrt(96)\/(sqrt(72)\/((sqrt(54)\/sqrt(6) - sqrt(9)) + sqrt(9)))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5117637 days to seconds.\nAnswer: 44216.38368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201954 smaller than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:19 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 5*h - 1, 4*h - 4 = 0. Suppose -5*i - f = -3*i. Let j = 2 - i. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 8*z**2 + 8*z - 5. Let x(l) = -2*l - 3. Let v be x(-5). Let w be y(v). Solve 0 = p - w*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 46*u + 140. Give b(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568.0031 seconds in minutes?\nAnswer: 26.133385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 7}. What is prob of picking 1 p and 3 o?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -78, -12\/11, -0.02, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/2 + 29*h**2\/2 - 24*h. Let g be l(-9). Factor -3*y - 8 + 3*y**3 - 6*y**2 - g + 16.\nAnswer: 3*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 34*l**2 + 3*l + 38. Let j be k(-17). Let u = 43 + j. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6 - 85) + 66.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + sqrt(200))*-2 + 0))**2 + ((2*(2 + sqrt(200) - sqrt(200)) - (5 + 1*sqrt(200))) + 2)**2.\nAnswer: 1260*sqrt(2) + 13065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/13449254 and 67\/224?\nAnswer: 215188064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 11*u**2 - 39*u + 284. Calculate y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a8135 (base 12) in base 15?\nAnswer: 1de36e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 114*x**2 - 2089*x - 380. What is y(91)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oboxi. Give prob of sequence ox.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (545 + 17*c - 545 + 3*c - 8*c - c + 4*c - 2*c - 4*c - 2*c + 1 - 1 + (c + 0 + 0)*(0 + 5 - 4))*(-4 - 1 + 3)*(-5*c**4 + 4*c**4 + 0*c**4).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87\/2 in -0.2, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 32420*r**2 + 53067700*r + 1665132160.\nAnswer: 5*(r + 32)*(r + 3226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvk when three letters picked without replacement from kkrrrnttvt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 4. Let w(f) = -3*f + 12. Let a(p) = -17*r(p) - 6*w(p). Let u be a(4). Let i(z) = -2 - z**2 - 4 + 3 + 4*z + u. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*y = 24, 23*v + 19 = 24*v + 5*y. Is v greater than or equal to -1\/25410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u - 19*u - 8*u)*(0*u - 7*u + 3*u) + 3*u**2 - 5*u**2 + 3*u**2.\nAnswer: 165*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.70199 - 20.7. What is c rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2392*r. Let n(s) = -10*s**2 + 1. Give n(j(i)).\nAnswer: -57216640*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a - 2. Let y(t) = -2*t**2 + 11*t + 5. Let h(q) = 2*y(q) + 5*z(q). Suppose -k + 21 = 5. Let m be k\/3 + 8\/(-6). Determine h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -2638.31570757.\nAnswer: -2637.91570757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1488, 1500, 1512, 1524, 1536?\n\"Answer: 12*a + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cecfeocecbo. Give prob of sequence ocfe.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399 - -4789\/12. Suppose -243 = 2*p + p + 3*o, 239 = -3*p - o. Which is the biggest value? (a) p (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/4)\/(9\/6). Let y = j - 17\/6. Let c = 0.02 + -0.42. Sort -3, y, c in decreasing order.\nAnswer: y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:00 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 433*p**3 + p - 1. Let u be f(1). Let r = u + -1323. Let q = r - -1893. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1337.\nAnswer: -267.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 6*w = -46, 95*j - 17 = 99*j - 3*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50260*j**3 - 59899*j**3 + 95170*j**3)*(-1 + 3 + 0) to n*j + z + v*j**3 + c*j**2 and give v.\nAnswer: -29978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 + n**2. Let y(k) = -k**3 - 20*k**2 - 20*k - 2. Let x be y(-19). Let m(s) = 39*s - x*s - 20*s. Give p(m(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 2, s: 1, f: 2, p: 3, y: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.16 (b) -1.4 (c) -2 (d) 0.5 (e) -171 (f) -2\/9 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 6136*x + 73056.\nAnswer: 4*(x + 12)*(x + 1522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13178 in 4\/5, -0.1, 4\/29, -0.07, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1780*w + 1391 - 8511 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 8. Let o be n(0). What is the common denominator of 21\/10 and o\/(-36) - (-814)\/180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -153, -303, -439, -555, -645, -703, -723?\n\"Answer: n**3 + n**2 - 160*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -12. Suppose 0 = -12*a + 9*a - f. Let r(z) = -6*z**3 - 3*z**2 - 2*z. What is the least common multiple of r(a) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzyuuuwzuul. Give prob of picking 1 l and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by 2421.\nAnswer: -91\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18178 = 875*q - 2572 + 2769 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 34608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 8*f**2 - 14*f + 47. Let c be k(9). Let r = 7 - 5. Solve 0 = 3*z - c*g + 1 - 2, r*z = g - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-84)*456\/1710?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283704 divided by -3.\nAnswer: -94568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 90332*f**2 - 1006575320*f + 303791905200.\nAnswer: -2*(f - 294)*(f + 22730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*g + 296*g - 56 = 0. Let n(m) = 6*m + 8 + 3*m**2 - 4*m**2 + 7*m**2. Let r(q) = -2*q**2 - 2*q - 3. Give g*r(a) + 5*n(a).\nAnswer: 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105498091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -867, -10.\nAnswer: -867, -10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7 - 5*s - 4*s**2 + s**3 - 5*s + 4*s. Let o be i(5). Suppose -7 = -2*x + 3. Sort x, o, 0.\nAnswer: 0, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1\/2, 3\/4, 36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3844 = 219*x - 19498 - 11502. Calculate the greatest common divisor of x and 4588.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/5 + 29*h**4\/3 + 56*h**3\/3 - 274*h - 1. Factor p(z).\nAnswer: 4*z*(z + 1)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128114 is divided by 207.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3993 divide 158861505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -5*x**4\/3 + 239*x**3\/3 + 16*x - 2. What is the second derivative of z(f) wrt f?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 8:23 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g + 825 = -198 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 - 3 + 1 - 11 - 7 - 18 - 116*s.\nAnswer: -2*(s + 19)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228287132 to the nearest integer?\nAnswer: 15109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/39*(-54)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -11 - (-2 - (-9 + -1) - (909 - 897))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 8, 23, 36?\n\"Answer: -p**2 + 20*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6836044?\nAnswer: 2, 109, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40366 + 31?\nAnswer: -40335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 1. Let i be t(2). Suppose -u = -i*u. Let j be (u - (1 + 0))*-4. What is the greatest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561a (base 11) in base 13?\nAnswer: 34a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178857 is divided by 392856.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11936033*z - 78382346 with respect to z.\nAnswer: 11936033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4, -13, -9, -5 in increasing order.\nAnswer: -13, -9, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1401 and -7?\nAnswer: -9807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 3, k: 2, v: 2}. Give prob of sequence pp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3858085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 689a10?\nAnswer: 689a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times -87\nAnswer: -18.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:03 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173094451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706744.3 decades to millennia.\nAnswer: 7067.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 47*g**2 - 68*g + 45. Calculate the remainder when o(21) is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3077\/(-15) - (-14)\/105. Let v = b + 214. Calculate the least common multiple of v and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3583 take away 1190?\nAnswer: -1190.3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.9 - 20.9. Which is the second biggest value? (a) -4 (b) 0.2 (c) -0.7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j**(-6)\/j)*j\/(j\/(j*j**5))*(j*(j*j*j**(-1))\/j)**23 assuming j is positive.\nAnswer: j**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109 - -99 - (-2 + -11) - -30) + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147139504?\nAnswer: 2, 29, 67, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*v**4 + 18*v**4 + 17*v**5 + (-3*v**3 + 2*v**3 - v**3)*(-3 + 3 + 2*v**2) + v**2 - v**2 + 2*v**5 + 0*v**4 - 2*v**5 + 0*v**4.\nAnswer: 13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (484\/140 + -3)\/((-28)\/70)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4.938239?\nAnswer: 1.4814717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16827 and -34\/2133?\nAnswer: 151443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 20. Let x be d(4). Let v be (-8)\/(8\/x*3) - 1. Suppose -5*p + q = -2936, -v*q - 1175 = -2*p - 2*q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3437 + -3352. Calculate the remainder when x is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -35109.\nAnswer: -10\/11703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7646, -1, -138 in increasing order.\nAnswer: -138, -1, 7646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -0.04, -28, -46, 0 in decreasing order.\nAnswer: 6\/5, 0, -0.04, -28, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ggkcgggccgggcggcggcc?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**4 - 6*n**3 + 3*n**2 - 7*n + 7. Let x(q) = -q**4 - 3*q**3 + 2*q**2 - 4*q + 4. Let g(w) = 4*t(w) - 7*x(w). Factor g(s).\nAnswer: -s**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3639 - -3640. Are h and -43.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 + 160 = -7*x. Suppose 0 = -4*s + 3*d + 109, -3 = -2*s + 4*d + x. What is the lowest common multiple of s and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0402 * 2047\nAnswer: 82.2894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = y, 2*k = y + k + 2. Let o = 73 - 105. What are the prime factors of (-1428)\/o - 3\/y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 180 = -d. Let u = d + 32. Let g(s) = -4*s**2 - 1 + 6*s**3 - 5*s**3 + 0*s**2 - 2*s**3 - 2*s. Determine g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.44 and 8.\nAnswer: 8.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**6\/360 - i**4\/12 + 4*i**3\/3 - 4. Let n(l) be the third derivative of j(l). What is the first derivative of n(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlquuuuquqquuqu. What is prob of sequence qul?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/4 - z**3\/6 + 251*z**2\/2 - 20*z. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/576 and -28\/9.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2. Let h = 20 - 13. Let b(t) = 3 + 1 - 4 - h*t. Determine r(b(n)).\nAnswer: 343*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 3200.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-3 - (-25 - -2) - 20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4480\/20384)\/((-14)\/(-91)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6166?\nAnswer: 30830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4971*r**3*w**3 + 9*r**2*w**3 + 51*r*w**3 + r*w + 4*w**3 - 2*w**2 - 104*w wrt r?\nAnswer: -29826*r*w**3 + 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Suppose -3*v - 4*o + 8 = 0, -4*o - o = -r*v - 10. Let i(h) = -2*h**2 - 2. Let l be i(v). Let q(n) = n**2 - 3*n - 3. Give q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144400300 (base 5) in base 16?\nAnswer: -bdfd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s**(-1\/2)\/s))\/s))\/s)**(-16))**(6\/11) assuming s is positive.\nAnswer: s**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 393, 400, 403, 402, 397?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765 and 17706915.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 116135858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbeabnb. What is prob of sequence bn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 19, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 14*i**2 + 23*i + 4. Suppose 3*j + 2*m = 36, j - m - 18 = -6. What is b(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 2283 = -775. Which is bigger: -118 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8237677 divided by -6\nAnswer: 8237677\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 42*h + 50. Determine k(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Let a(o) = -2*o - 3. Let x = 42 + -22. Suppose 4*w + 5*y - 90 = -w, w + 3*y = x. Let f = w + -25. What is f*m(v) - 3*a(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 751392*w**2 - 1188454.\nAnswer: 1502784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, -73663, -36 in descending order.\nAnswer: 2, 0, -3, -36, -73663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*(-18)\/15. Solve 4*x + n*d = 7, 8 = -x + d - 5*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62213 - -62215. Factor 14\/3*n**3 + 1\/3 + 4*n - 9*n**b.\nAnswer: (n - 1)**2*(14*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386395.38 minutes to weeks.\nAnswer: 38.332875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9634*n - 2407 = -9775*n + 977 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -300467689 + 0.09\nAnswer: -300467688.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1\/2 (c) 1306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9356 - 9360. Put 1.4, 5, -5, j in decreasing order.\nAnswer: 5, 1.4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912740 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**5\/v)*v*(v**16*v)\/v assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*x - 1001 - 2434 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/5*27\/(-2). Let l = u - -41. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*2 + 5\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4 - 3 - 3*n**5 + (n + n**3 - n)*(-n**2 + 3*n**2 - n**2) + n**5 - 3*n**5 + 8*n**5.\nAnswer: 4*n**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 114 - 257 + 143 + 93*r as v*r + x + g*r**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**5 + 2170*b**4 - 2175*b**3 = 0.\nAnswer: -435, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-52))\/(24\/(-32)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03333109 and 4.\nAnswer: 0.13332436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 9*f - 7*f, 4*f = c + 7. Find the common denominator of -61\/51 and (92\/6 - c)\/(48\/(-18)).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -73) + -15 - 24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 120*t + 123.\nAnswer: -3*(t - 41)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4 - 10*w**4 + 5*w**2 - 2*w**4 + 6*w - 2*w**3 + 23*w**4 - 10*w**4 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 - 44*f - 168 = 0.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331331 - 3424?\nAnswer: 322402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19512*l - 182142 + 182142 in the form k + b*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/3*(-54)\/(-135)*-3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/10*(-7 + 1). Let l be 2*2\/(-12)*r. Solve 1 = 4*o + l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t - 210. Let o = 101 + t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 - 155. Suppose 5*v - 259 = w*b, -4*v - 5*b + 275 = v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.07027106 rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 8*c + 38 - 75.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 7*s**2 + 15*s - 23. Let z be h(-9). Put z, 30, 0 in ascending order.\nAnswer: 0, z, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -15 + (18 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -536493361.0000119 + 536493339. Let v = 21.985 - -0.015. Let c = i + v. What is c rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13026 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 + 2*z**2 - 3*z + 2. Let g be x(1). Let n be g\/28*(12 - (-2)\/1). Solve -16 = n*i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 6*u + 3*u + 3 - 3*u.\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/4*((-95)\/(-6))\/((-2740)\/(-822)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 - 5 - 2583*q - 2290*q + 4*q**2 + 4.\nAnswer: -10*q**3 + 4*q**2 - 4873*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(450) - (sqrt(450) + (3*sqrt(450) + sqrt(450) - sqrt(450)) + sqrt(450))))\/sqrt(10))\/(sqrt(18)\/sqrt(18) - sqrt(162)\/sqrt(2)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -42*d**3 + d**2 - d - 1. Calculate n(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4 = 0, -3*c - l = 3*l - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -x - 0*x, 3*x = -4*f + 6. Suppose 16 = 2*p - 0*p. What is the highest common factor of p and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Suppose 0 = 4*f - r*i, -7*f + 5*i = -3*f. Is (f - (-4)\/(-6))*-51 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -2047782.7?\nAnswer: -2047782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 654337335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13967, 13966, 13963, 13958, 13951, 13942, 13931?\n\"Answer: -o**2 + 2*o + 13966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Let c = t - -4. Suppose 24 = -2*x + 5*x. What is the lowest common multiple of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4233 - 4225. Let r(f) = -3*f**2 + 25*f - 1. What is r(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10616 + 10616. What is the third biggest value in b, -10\/13, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(p*p\/(p*p**9))*(p*p**(-1\/2))**34)**(-6\/19) assuming p is positive.\nAnswer: p**(-120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4*l - 25. What is k(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2581565 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 379833824 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725944598.\nAnswer: 2, 67, 5417497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, d: 1, i: 1, h: 1, n: 2, s: 3}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 30946.86 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310341 - 142?\nAnswer: 310144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7.003. Let o = t + -0.002885. Round o to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-416)\/40)\/((-2)\/(-5)). Suppose 3*p - k = -2*u, -4*u - p + 57 + 18 = 0. What is the remainder when 58 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-27))\/(-1))\/((-1163)\/(-146538))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -2, 9, 162.\nAnswer: -2, 1, 9, 10, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32124 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2428 - 2409. Let i(n) = -19*n - 3. Calculate the remainder when i(-2) is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8\/p*p)\/p*p*p**(-35)\/p)\/((p*p\/p**(-41))\/(((p\/p**(-8\/13))\/p)\/p)) assuming p is positive.\nAnswer: p**(-928\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((16\/6)\/(-8) + 1008)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -635 (b) -691 (c) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m - 9*m + 37*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 320443.\nAnswer: 26\/320443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*v**3 + 453*v**6 - 12*v**3 - 5*v**3 + 7*v**3 - 197*v**2 wrt v?\nAnswer: 54360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*p = 1825, 4*d - 8*d - 2450 = -3*p. Let t = 1030 + d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -255. Let h = q + -200. What is the fourth biggest value in -1\/2, -2, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 21313*a**2\/2 + 456706185*a\/4 - 13101475725.\nAnswer: (a - 21255)**2*(a - 116)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26881 to 3 dps.\nAnswer: -0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*q - 66 = -393*q. Suppose 5*i + 6*u - q*u = 3530, -2*u - 3536 = -5*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4188640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*t - 310, -2*t + 0 = j - 74. Is 15 a factor of 16\/24 + j\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21083520 and 109440?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235)*2 - sqrt(4235) - sqrt(4235)) + sqrt(4235))\/(-3*sqrt(25)\/sqrt(5) + sqrt(5)).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20947726, 20947730, 20947738, 20947750, 20947766?\n\"Answer: 2*b**2 - 2*b + 20947726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-23094)\/(-8498) - (-11 + 15)). Let g = 2\/607 - n. Let l = 2 - 4. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10311 + 1012?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -56, -86, -114?\n\"Answer: s**2 - 35*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 + 170*o + 1. Suppose -2*l - 5*s = -20, -3*l - 5*s + 20 = -0*s. Let b be r(l). What is b rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 37. Let i be g(5). Let u be i\/(-5)*(-35)\/14. Suppose 3*z - 1449 = -v - 2*v, 3*v + u*z = 1449. Round v to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = 14*g. Let c = -20 - -27. Sort c, -4, g in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21)\/(-3)*470\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 30 = 2. Let n be 446\/x + (-3)\/(-12). Let g = -38 + n. Calculate the smallest common multiple of 32 and g.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187944 is divided by 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -1.96. Let y = 9.7 + -6.7. What is the second biggest value in y, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27259592 * -0.4\nAnswer: -10903836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 7, q: 5, j: 2}. Give prob of picking 1 j and 1 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {t: 10, j: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.06 (b) -3 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 - 268*m**2 - 270*m = 0.\nAnswer: -1, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 1. Suppose -5*f + 4*f + 11 = 0. Suppose -f*o + 51 = -u*o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 0 + 4)*(0*l - 3*l + l) - 67*l + 24*l - 7*l)*(-12 + 3*l + 12)*(0 - 1 - 4)*(0 + 2 - 1) to m*l + x*l**2 + w and give x.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 80. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12992 + -49?\nAnswer: -13041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5387*l**5 + 6*l**3 - 3*l**2 - 41*l - 132 wrt l?\nAnswer: 323220*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135198 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -5 - (-43 + 48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 + 4.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*c - 15 = -57, -2*q + 3*c + 28 = 0. Let x = q + 12. Let r = x + -4. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 1 e when three letters picked without replacement from {n: 2, e: 1, s: 1, g: 1, y: 14}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489 - 3*k**2 + 4234*k + 1569*k**4 + 488 - 379*k wrt k.\nAnswer: 18828*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d**2*f - 150*d**2*z**2 - 7137*d*f**2*z**2 + d*z**2 + 6 with respect to f.\nAnswer: -19*d**2 - 14274*d*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151250048 divided by 2.\nAnswer: -75625024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 263430*r + 5782947075.\nAnswer: 3*(r + 43905)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 88. Suppose -5*p + 53 = u, 4*p - 4*u + 0*u = 28. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1137791 + 2275568\/7964537. Let 4\/7 + u*x**2 + 6\/7*x = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:14 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4008631 and 7491.\nAnswer: 2729877711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.789 minus -15?\nAnswer: 16.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 20 = -4*o + 20*v, 4*o = -v + 4. Solve 4*c - 8 = -2*i, 0 = o*i - 2*c - 2*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6310580 divided by 4\nAnswer: 1577645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-7) + 2958\/238.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (295\/(-472))\/(1\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2279 - -4541. Suppose 19*z - n = 1481. What is z rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -t, t = -3*v + 7 - 3. Solve 0 = 2*b + v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:07 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4964*q - 35 = -4*x + 4959*q, 0 = -4*q + 28 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310023109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4861038 weeks?\nAnswer: 293995578240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a factor of 375564251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4 - 5\/4. Let d be (-1 + -6 + 1)\/(0 + 4). What is the closest to 1\/4 in d, z, -4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 33, 80, 167, 306, 509, 788, 1155?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 39339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 1224, 1754, 2256, 2718, 3128, 3474?\nAnswer: 3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 8971 - 4424 - 4435 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -2.2989.\nAnswer: -165.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217152616 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -319209*k**3*s**2 - k**2*s + 4056198*s**2 wrt k?\nAnswer: -957627*k**2*s**2 - 2*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617075 is divided by 168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 - 158*w + 1523. What is the remainder when 345 is divided by b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6.2 (b) -5 (c) -1 (d) 3 (e) -3\/10 (f) -0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6.19 (b) -3 (c) -20\/3 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5216119.\nAnswer: 5216119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118321 and 1538173.\nAnswer: 1538173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -407 + 409. Suppose -9*h + 238 = -5*h - 3*d, 4*d + 124 = b*h. What is the highest common factor of 145 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {g: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f - 7. Let r = 288 - -253. Let k = -546 + r. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -31*i + 2. Let u be m(4). Let h be 1473\/2*((-74)\/12 - -6). Let r = u - h. Which is the third smallest value? (a) -4 (b) -1 (c) r (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**5 + 9*l**4*u - 2*l**3*u**3 - 8*l**2*u**2 + 4*u**3 wrt l.\nAnswer: 300*l**2 + 216*l*u - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-57 - (-36 + 3))) + -31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 741.0005804 - 741. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -323, -709, -1239, -1907, -2707?\nAnswer: -3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (0 - -8) - (516 + -475).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4709.5 and 0.2.\nAnswer: -4709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 2000*v**2 + 106085*v + 642880 = 0?\nAnswer: -41, -7, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2723*y**2 - 869*y - 2668391?\nAnswer: -5446*y - 869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, -3092, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*t**2 + 3*t + 57*t**2 - 138*t**2 - 3*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 12 = -268 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n - 7. Let b(i) = i**2 + i - 3. Let u(k) = 1097*k - 4. Let o be u(0). Give o*p(r) + 9*b(r).\nAnswer: r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*6\/4)\/((-54)\/(-72)). Suppose 3*a = i*a + 2. Solve -4*n + 2*z + 23 = -7, n = a*z + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438134069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 156\/8 - 1\/(-2). Suppose -1 + 7 = s - 2*z, -5*s + 5*z + l = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18*s - 8. Let c be t(2). Sort -2, c, 0.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*z**6 + 2*z**4 - 46260*z**3 + 8542424*z**2.\nAnswer: 4200*z**3 + 48*z - 277560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 111, 110, 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3951047728.\nAnswer: 2, 246940483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 85 + 35 = -2*w. Solve -5*j - 2*i = -8*j + 19, -w*j - i + 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - 1) - (64 + (1 - -1)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 13. Let s be o(-12). Let q be (6 - s) + 0\/(-1). Suppose -6*h + 2*h = -q*j + 210, j - 71 = -5*h. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v. Let b be 25 + -39 + (9 - 0). Determine q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 3189?\nAnswer: 3188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 9, 6, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 13. Let d(z) = 3*z + 51. Let n(m) = 15*c(m) + 4*d(m). Let o be n(-5). What is the derivative of 6*t - o - 3 + 13*t wrt t?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2127*a + 80825. Give o(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-608)\/(-1254) + 4\/(-6)*1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6312*y - 6306*y - 3*f - 42 = 0, 4*y - 5*f - 34 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let j(b) = 36*b**5 + 2*b**2 + 9*b + 4. Let l(y) = -j(y) - 4*w(y). What is the third derivative of l(a) wrt a?\nAnswer: -2160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47546 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*h - 138*h = 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1233 and 411.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2. Let r(h) = 8*h. Let n(a) = -11*a. Let b(s) = s**3 + 17*s**2 - 19*s - 13. Let z be b(-18). Let c(t) = z*n(t) + 7*r(t). Give c(o(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - f - 3*f - 253 = 0, -2*f - 83 = -z. Let y = z + -85. Let -y*a + 4 + 1\/4*a**2 = 0. Calculate a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4598 and 15\/1672.\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064814891 to 6 decimal places.\nAnswer: -0.000648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*f = -11905 + 9987. Let z(l) = -7*l**3 + l - 1. Let r be z(2). Let p be -1*((-1)\/1 + r). Calculate the highest common divisor of f and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/(1\/3). Let b = -5 - n. Let l be (-3)\/b*(-12)\/(-9). Solve -2*c = -4*x - 0*x + 10, l*c + 2 = 2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2709, 0, 21, 5 in decreasing order.\nAnswer: 2709, 21, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6679, -53504, -180589, -428062, -836051, -1444684, -2294089, -3424394?\n\"Answer: -6688*r**3 - 2*r**2 - 3*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866623 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o**4\/4 + 17*o**3\/4 = 0. What is o?\nAnswer: -17\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**2 - 15*p + 16. What is i(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 - 10*v**2 - 43*v - 15. Give s(-4).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Put -5, r, 4 in increasing order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24696*p - 21240*p + 15418*p.\nAnswer: -30518*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1073 - 1093) + 8 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 35\/54738413?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {n: 2, w: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 326*n**7\/35 + 110*n**4\/3 - 3*n**2 - 112*n. Find the second derivative of h(x) wrt x.\nAnswer: 23472*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 12*s**2 + 13. Is n(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*q + 540*q = y + 265*q - 38, -5*y + 268 = -7*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((56\/10)\/(20\/(-600)))\/(-1). What is the highest common divisor of y and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2205855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 34. Let l be n - 404\/(3 + -5). Let a = l - 145. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/163, 0.4, 0, 2\/11, -1987?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = 29*u + 279 - 190 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/17))\/d*d**(-2))\/(d**(1\/2)\/((d*d*((d**(-7)\/d)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-361\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*u**2 - 681*u**2 + 3752 - 3753.\nAnswer: -1998*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 3, 5, 6576, -16 in decreasing order.\nAnswer: 6576, 5, 3, -16, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 + 7. Let c be q(7). Let b be (1 - 0) + c + -6. Suppose -m - 6 = -3*m. Solve b*p - 5 = -m*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214146789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 19826*y**2 - 2*y - 19825*y**2 + 4. Let w(r) = -r. Determine w(x(t)).\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108355?\nAnswer: 5, 13, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**4 - 6*g**3*v - 3*g**2*v**2 + 3*g*v**2 - 4*g*v - 4*v**2 wrt g?\nAnswer: -60*g**2 - 36*g*v - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902840 to the power of 1\/2, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 72*k + 70. Let m be c(35). What is the fourth smallest value in m, 5, -1, 2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -19. Suppose -i + n = -6. Solve -4*s - 3*l + i + 14 = 0, l = -5*s + 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221202 (base 5) to base 15\nAnswer: -b802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28972 and 7352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1982048 and 1104?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96 or 92?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 254 - -25513?\nAnswer: 25767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -68 - 20. Suppose -8 + h = 2*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335 and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 37 = 97. What is the remainder when 69 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 + 9*b - 3*b + 2 - 2 + b**3 - 5*b**2. What is the units digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.453 - 3.453. Let n = 2.3 + -3.3. What is the nearest to 1\/2 in -0.41, 0.5, n, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*r**4 - 61700*r**3 + 2966040*r**2 - 41451696*r + 187447392.\nAnswer: -4*(r + 163)*(5*r - 66)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 16*y**2 - 23*y - 59. Determine s(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 48*i + 110593 = 0. Is i a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 738361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + -0.1. Let w = -0.05 + -0.06. Is t at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/175 and -139\/19180.\nAnswer: 95900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -274 + 5*v**2 + v + 120 + 25 - 2*v + v**4 - v**3 as d + j*v + x*v**3 + h*v**4 + y*v**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-93)\/(-4) + 2\/(-8) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(2448) + sqrt(17) + sqrt(17) + -3)*5.\nAnswer: -420*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1719000 to the nearest 10000.\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 22*a + 8704. Is a 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 74? (a) -3\/5 (b) 1103\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkhh. What is prob of picking 1 h and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2083725 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -60. Sort -0.3, k, -5, 5\/4 in increasing order.\nAnswer: -5, -0.3, 5\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 0*p + p**2 + 5\/24*p**4 + 1\/30*p**5 + 2\/3*p**3. Suppose 2*k = 5*q - 16, -4*q - 9 = -17. Give d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8156980, -8156984, -8156988, -8156992, -8156996?\n\"Answer: -4*o - 8156976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83600 divided by -176?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9+6610\nAnswer: 6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -1593*j**5\/40 - 93*j**4\/2 - 71*j**3\/4 - 3*j**2\/2 - 99*j - 171. Let d(l) be the first derivative of o(l). Factor d(c).\nAnswer: -3*(3*c + 1)**2*(59*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/y**(-3)*y)*y)\/y)\/y**(-2\/23))\/(y**0*y*y**3)*(y**0*y)\/y*y*((y*(y\/y**(-1))\/y)\/y)\/y*y*y*(y**(-1\/4)*y)**(2\/43) assuming y is positive.\nAnswer: y**(-7671\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/((0 - -2)\/2 - -1). Solve 0 = 6*u - j - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from {q: 2, u: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(567) + -1)**2 - (4*sqrt(567)*-1)**2) + 1.\nAnswer: -8498 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7 = -5*t + 28, 0 = 3*t - d - 28. Suppose -o - 26 = t*u - 15*u, 0 = -5*u + 3*o + 36. Solve 22 = -k - 5*j, 3*j = u*k - k - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383460 is divided by 47922?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288100 to the nearest ten thousand.\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 22 = -3*j, -2*s + 0*s + j + 10 = 0. Let a be (s\/4)\/(1\/(-12)). Which is smaller: a or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -1. Let s(c) be the first derivative of -c**4\/4 + 7*c**3\/3 - 5*c**2\/2 + c - 2. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 + n. Let o(d) be the first derivative of d**4 + 5*d**3\/3 + 5*d**2\/2 + 4. Determine -3*o(s) + 15*t(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a721 + 7?\nAnswer: -6a719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 2*j + 3. Suppose 0 = -10*b + 10 + 10. Let x(n) = -n**3 - 6*n + 1209*n**b - 1220*n**2 + 9 - 1. What is -8*s(c) + 3*x(c)?\nAnswer: -3*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (1 - 2)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3160479 and 82236?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1653\/2905 + 1\/415. Suppose 805*u = 925*u + 1009*u + 4516. Let x = -0.06 + 0.36. Which is the biggest value? (a) u (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aa8b (base 12) in base 10?\nAnswer: -60299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/81 and 17\/216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 11*b**8\/10080 - 19*b**6\/360 - 67*b**5\/60 - 70*b**2. Let l(p) be the third derivative of c(p). Differentiate l(u) wrt u.\nAnswer: 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:49 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719379 is divided by 239778.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -1957*u**5\/5 + 5*u**2\/2 + 132*u - 2713. Find the second derivative of h(i) wrt i.\nAnswer: -23484*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*z - z - 91, -2*s + 38 = -2*z. Suppose -4*i - s = o - 0*i, 0 = -3*o - 5*i - 51. Let x = -7 - o. Solve 3*n + x = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7107051 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = -1. Let y be u - (194\/(-14) + 1\/(-7)). What is the third biggest value in 3, y, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 10 + 9 + -14. Let v be ((-6)\/(-9) + k)*162\/63. What is the third smallest value in v, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 + 11)*(-2*u - u + u + 1 - 1 - u + (-3*u - 2*u + 4*u)*(-1 - 1 + 4) + 0 + 0 + 2*u) - 1 + 1 - u.\nAnswer: -88*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdc when three letters picked without replacement from {c: 2, l: 3, r: 1, v: 1, w: 2, d: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + ((sqrt(68) - (sqrt(68) + -1)) + sqrt(68) - sqrt(68))*-2 + 5 + 4 + 2)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(735)\/sqrt(5) + -4.\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39682 is divided by 468?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 20.8854?\nAnswer: 4.17708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*v**4 - 2\/3*v**3 + 0*v**2 + 0*v + 0 = 0. Calculate v.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 + 3*u**2 + 6*u - 4. Suppose -t - 4*c + 16 = 0, 4*t = -0*t + 5*c + 1. Let o be f(t). Is (o\/(-8))\/((-1)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:39 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 2*d**2 - d - 1. Let z be (-2 + 24\/9)*-3. Let y be i(z). Suppose y = p - 28. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.3, 124.\nAnswer: -0.3, 3\/4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16758821 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2826 and 4488\/(-4114) + 10\/11.\nAnswer: 31086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2299))*-4 + sqrt(2299)*3*-4 + (sqrt(2299) + -2*sqrt(2299) + -2)*-3 + 2)**2.\nAnswer: -2288*sqrt(19) + 388595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(2299)*-5) + (3*sqrt(2299) + 1 + 0)**2)*-5.\nAnswer: -103560 + 770*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/13, 16, -12?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 12:07 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/11))\/j)\/j*j*j**12 assuming j is positive.\nAnswer: j**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -347844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 19*g + 53. Let n be r(-16). Solve -n*y - 5*h - 17 = -2, h = 5*y - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 274, 349, 464, 625, 838, 1109, 1444?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 3\/4, 5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-48))\/((-1)\/(-230)) + 1 and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316930 is divided by 158368?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021221 - 200?\nAnswer: -110022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16 + (-216)\/18 + 32. Solve 5*g - 5 = -s*r, 5*r + 5*g + 5 = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from qvvw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235607269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673121 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12440605.39937 - -2\nAnswer: -12440603.39937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 23514847?\nAnswer: 399752399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5097.791 tonnes?\nAnswer: 5097791000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:21 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -77\/6*o**6 + 0*o**4 + 0*o**2 - 68 + 0*o**5 + 0*o + 35\/3*o**3. Find the third derivative of w(p) wrt p.\nAnswer: -4620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/((-47)\/(-6)))\/((-290)\/4205)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -42.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -13, -3, -1, -13, -45, -103?\n\"Answer: -w**3 + 5*w**2 + 4*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - -8. Let t be (-2)\/7 - (-176)\/k. Solve 0 = -2*d - 0*d + t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5636*v**3 - 5640*v**3 + 11256*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232586*h + 117431 wrt h.\nAnswer: -232586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/21 + 1476\/14. Let j(h) = 17*h + 12. Let k be j(-7). Let l = k + n. Sort l, 9, 5.\nAnswer: l, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -206. Solve -2*f = -14 + v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 198. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 52) + (-8 - (-22 + -27)) + -40?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 14. Let o be u(-5). Let w(r) = -7*r - 4. Let l(v) = 1. Let c(y) = 5*l(y) + w(y). Let s(x) = -6*x. What is o*c(z) + 5*s(z)?\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33424308431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457598 + 804925. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 3*k + 1. Let r be ((-7)\/4)\/((-3)\/12). Let b(p) = -p**3 + 7*p**2 + p - 4. Let n be b(r). What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1107 and -52\/114445391.\nAnswer: 3090025557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 - 2*i + 1. Let l(b) = 15*b**3 + 55*b**2 + 106*b + 31. Let s(p) = 18*f(p) + 2*l(p). What is k in s(k) = 0?\nAnswer: -5, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18363.527 to the nearest 10.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*k**4 - 4*k**3 - 265*k**2 - 29661*k - 141?\nAnswer: 1428*k**2 - 24*k - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 3) + 0 + -1. Let l = 3 - 6. Let t = 4 + l. What is the closest to n in -0.2, 0.3, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 28198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597872.\nAnswer: 2, 3, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 19 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 4*l - l, -2*c + 25 = 5*l. Let q(x) = 8*x - 1. Let d be q(1). Suppose 2*y = d - l. Solve -u - y = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3128 + 2425. Are a and -708 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112223303 (base 4) to base 14\nAnswer: -25c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 + 4*h**2 - 8*h - 4. Let t(u) be the first derivative of 7*u**4\/4 + 8*u**3\/3 - 8*u**2 - 7*u - 6. Let x(y) = -5*c(y) + 2*t(y). Calculate x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43b7d (base 15) in base 5?\nAnswer: 23341333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6) + -2)*9\/(-6). Suppose -q*y - y = 54. Let d = y - -34. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/12975 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*v + 4*v = -2, -2*v = -10. What is the highest common factor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 18*j**2 + 24*j - 2. Let f be k(17). Calculate the highest common factor of f and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d + 120. What is the least common multiple of 18 and w(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 220*h + 1969. What is q(-7)?\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/4*(4 + 10)\/(-1) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 (base 11) in base 7?\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 35*d + 46. Solve -d + 4 = -r - 4*h, 0 = 3*h - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 + 3 = 0. Let t(v) = v**2 - 9*v + 6. Let i be t(9). Suppose c*u - 26 = -6, u = -k + i. Solve s + k = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19233 - -8904. Let c be -1 - g - 4*(-2)\/(-2). Suppose -5840 - c = -18*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 7*g - 61. Let r(a) = -a**2 - 4*a + 29. What is 4*o(v) + 7*r(v)?\nAnswer: -3*v**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = -2*i, 4*t - 3*t - 10 = -2*i. Is ((-2)\/7)\/(i\/14)*-171 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*c - 168 = 0, d + 0*d - 2*c = 40. Suppose d - 2 = 15*x. Solve 0 = -x*g + 3 + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3141103 - 110204?\nAnswer: -3301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 648, 637, 604, 537, 424?\n\"Answer: -2*w**3 + w**2 + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17417.6211 rounded to the nearest one hundred?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 5. Let l be c(2). Let y be (-476)\/(-286) + 2\/13 - 2\/(-11). Solve -7 - y = l*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151102195 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h + 10. Let b be o(0). Let i(y) = -y**3 + 10*y**2 + 2. Suppose 759 = -334*l + 4767. Calculate the lowest common multiple of l and i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 177*b\/2 - 595.\nAnswer: -(b + 7)*(b + 170)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 385*s**2 + 88. Let l(k) = -22*k**2 - 5. Calculate -88*l(c) - 5*w(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 5*n + 27 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(28) + sqrt(7) - sqrt(7)).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 3, -55322, -4 in descending order.\nAnswer: 113, 3, -4, -55322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 38407840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/(-1547)*-13 - (-5)\/(105\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 2 (c) 4350 (d) -3\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4688404300 to the nearest one million.\nAnswer: -4688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-837)\/(-15) - (-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/13 + 42*d**4\/13 + 44*d**3\/13.\nAnswer: -2*d**3*(d - 22)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121 - 101001?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Suppose 4*z - 4*x + 1572 = 0, 0 = -2*z + f*z + 2*x + 402. Calculate the common denominator of 44\/5 and z\/(-12)*(-1)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l - 9. Let q(c) = 2*c - 2. Calculate 6*j(f) - 26*q(f).\nAnswer: -10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 + 3. Determine i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 838 - 531. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 941699\nAnswer: 5\/941699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 11:24 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 47*i + 19. What are the prime factors of x(15)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 14. Let u be ((-3)\/r)\/((-8)\/(-16)). Suppose -2*x + 12 = x. What is the closest to 1 in x, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (28 - -14) + (0 - -46)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54692000 is divided by 1677?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-78) + 8\/3. Let x be z + ((-12)\/2)\/2. Solve -2*g + 17 = 3*v, -2*g + 2*v + v - 13 = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27235*a - 7772 = -27369*a for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22899 - 104.22899. Put -14, 0.2, x in decreasing order.\nAnswer: 0.2, -14, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 11*p + p)*((-6 + 5 + 0)*(-3*p**2 + 33*p**2 + 2*p**2) + (2*p - 2 + 2)*(p - 2*p + 0*p)).\nAnswer: -442*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.489 * -0.05\nAnswer: 0.22445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -145. Let z(c) = v*c + 7 + 27*c - 15 + 8. Let t(o) = -o**2. Determine t(z(x)).\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2253318581 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 525133858, 1050267713, 1575401568, 2100535423, 2625669278, 3150803133?\n\"Answer: 525133855*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**3\/5 - 570808*b**2 - 76111896*b\/5 - 9894560 = 0 for b.\nAnswer: -26, -2\/3, 475700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 10. Let u(f) = 2*f**2 + 9 + 0*f**2 - 4*f**2. Suppose -r - 5*g - 36 + 42 = 0, -g = -5*r + 30. Determine r*w(l) - 7*u(l).\nAnswer: 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -859730 + 7*q - 2*q + 859344 as u + y*q and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*p - 8, o - 20 = -p - 26. Which is greater: 310 or o?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 76, 79, 82, 85, 88?\n\"Answer: 3*t + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 270579108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 258067101 = -257132899. Round n to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308353?\nAnswer: 43, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:27 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaclgci. Give prob of picking 1 a and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 229110\/(-36003)*88\/28.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134267*m**4 + 1373*m**3*n + 2426825*m**2 - 83*n wrt m.\nAnswer: -3222408*m + 8238*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249.1305968 + 244.3306. Let g = -59 + 63.8. Let n = o + g. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96849 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: 16774 divided by 16774\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166968 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: What is the second derivative of -k**5 - 8*k**3 - 4276*k**2 + 850*k - 12*k**5 + 4276*k**2 wrt k?\nAnswer: -260*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749, 1464, 2085, 2564, 2853, 2904?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.3272 + -8.09. Let o = -1.0038 - w. Round o to two decimal places.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.217239?\nAnswer: -2.17239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 5. Let h be c(0). Let q(m) = -m**3 - 6*m**2 - 6*m + 6. Let i be q(h). Solve 2*l = -4, 5*t - 39 + i = 4*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102041?\nAnswer: 67, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76119545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2455, 2459, 2465, 2473, 2483, 2495?\nAnswer: 2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 14, e: 5, x: 1}. Give prob of sequence exk.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Let h be l(-2). Let z = 340 + -1704\/5. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Suppose 0 = 3*r + 3*o - 18, -5*o + 14 = -1. Let g(k) = 0*k + r*k - k + k. Determine c(g(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 604116 and 57609?\nAnswer: 22352292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001160830703 to five dps.\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 + 34*b**3 + 5*b**2 + 41*b**3 - 7*b**2.\nAnswer: 57*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47303.54 millennia in decades?\nAnswer: 4730354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1985155 = -41*z - 1982080 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 717*r\/4 - 11935\/2.\nAnswer: -(r - 682)*(r - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867 = 30*u - 273 + 4330 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -49*k - 96. Let h be l(-2). Let x be 3\/((-7)\/(-3) - 2). Solve 5*s + 3*j + 13 = -x, 5*j = h*s - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 10*u**2 + 19*u - 11. Let h be o(-7). Suppose 0 = -3*x + 3*i + 1872, x - h*i - 1243 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wazz when four letters picked without replacement from {w: 1, z: 4, o: 1, a: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/7 - 1511352*g**3 + 18654239897568*g**2\/7 - 10964178731429616096*g\/7 + 197349173253705501792\/7 = 0.\nAnswer: 18, 1763238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.85 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-69) - 87110\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**3\/6 + u**2\/2 + u. Let b be (-1 - 0)*-1*0. Let o be 1*-2 + b - 0. Let f(x) = -3*x + 4. Determine o*f(y) + 7*i(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*a. Let q(p) = -37 + 3*p + 47 - a*p + 0*p. Determine q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 7 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 13*k + 48. Is k at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1732 less than or equal to -1732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-552)\/(-240)*240\/24.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzddxzxx. Give prob of sequence dxzx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -8. Let t = 13 + h. Suppose t*d + 0 - 16 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 1, a: 2, e: 3, o: 4, g: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 2 - 3 - 2*f - 10*f**2. Let m(o) be the third derivative of o**5\/60 - o**4\/24 + o**3\/6 + 1953*o**2. Give 5*m(g) + p(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728 and 3367.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233374 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3192847467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-4)*64632\/13465.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 19. Let a be f\/(-4)*100\/10. Find the second derivative of -4*g**5 + 5*g**a + 20*g - 30*g wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/12 + a**3 + 94*a**2 - 2*a - 7118. Calculate j(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/4 and 5\/1473193788.\nAnswer: 1473193788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssbb. What is prob of picking 3 s?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*y**4 - 226*y wrt y.\nAnswer: -2004*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178\/9 + 20. Let 2\/9 - 2\/9*z**3 + 2\/9*z - c*z**2 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let v be k(-2). Suppose -5*r = -5*m - 16 + 1, v*r - 2*m - 10 = 0. Differentiate -r + o - o**2 - o wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 8*y**2 + 7*y - 12. What are the prime factors of u(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, -5, 17, 1\/7, -2341?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (-15)\/(-1)) + 7. What is the closest to -2 in n, -0.2, -3\/4, 3.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:28 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0103943 rounded to 4 decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l + 39*l + 6*l + l - 2*l - l + (-l - 2 + 2)*(5 - 3 - 1) - 26*l + 251*l + 243*l as d + v*l and give v.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/27459 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -604 + 604. Let o(m) be the third derivative of 0*m**5 + 1\/8*m**4 + 1\/30*m**6 + 0*m + r + 0*m**3 - 7*m**2. Find the second derivative of o(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 12*w**2 + 68*w - 644. Determine v(14).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 5*s - 388, 0 = -2*s + m + 155. Differentiate 30*r**2 - 39*r**2 + 61 + s*r**2 with respect to r.\nAnswer: 136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 10. Suppose -j = -5, 0 = 2*s - j - 4 - 7. Let r be l(s). Suppose -t + 4 = -5*t. Is r less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((65\/(-20))\/(-13))\/(1\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-6)\/(-8)). Let u(z) = z**2 + 3. Let w be u(5). Let g be (-10)\/(3 + -1) + 0 - (-228 + 219). Solve -p - 10 = x - t, -w = g*x + 3*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -1, 1, 18010 in descending order.\nAnswer: 18010, 122, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2 - (-1 + -65)*51\/9*51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -11996, -5, 4 in increasing order.\nAnswer: -11996, -5, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 955448930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 5*p**3 - 17*p - p**2 + 1 + 4*p + 10*p to y*p + g*p**3 + a*p**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/32*4)\/(18\/1584*-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(p - 3 + 3)*(p**3 - p**3 - 2*p**4).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*z = -8, z - 2*z + 16 = -4*x. Let k(b) = 6*b + 11 - 5 - 3*b. Give k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44633, -44713, -44839, -45005, -45205, -45433, -45683, -45949?\nAnswer: -46225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*y**2 - 4 + 11.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 3:54 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a hour in seconds?\nAnswer: 11880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -886, -4 in descending order.\nAnswer: 196, -4, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-27)\/(-12))\/((-1)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000000011 (base 2) to base 12\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/244051236 and 49\/312.\nAnswer: 488102472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 323*x**9\/252 - 19*x**5\/60 - x**4\/24 + 93*x**2. Find the third derivative of q(a) wrt a.\nAnswer: 77520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2807 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*r + 673*r + 7 - 323*r.\nAnswer: 22*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*c**4*u + 59*c**3*j*u + 4*c**2*u + 2*c*j*u - 8*c - 3*j*u - 18*u + 1 wrt c?\nAnswer: -972*c**2*u + 354*c*j*u + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3)*3)**2 - (sqrt(24)\/(sqrt(128) + sqrt(8)))**2 - (-5*sqrt(27)\/sqrt(3))\/((sqrt(24) - (-1*sqrt(24) - sqrt(24)))\/sqrt(8)).\nAnswer: 5*sqrt(3)\/3 + 10797\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d\/d**(-4\/7))*d)\/d*d**(-14\/5))\/(d**(-1)*d)**3 assuming d is positive.\nAnswer: d**(-153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/3265 and -14\/7183.\nAnswer: 35915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -21. Is -2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182947099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.047981+332.9\nAnswer: 332.852019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2aa (base 13) to base 12\nAnswer: 33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 15*z**2 + 18*z + 53. Let u be g(-3). Which is bigger: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/5 + 117891*s**3\/5 - 47154*s**2.\nAnswer: -3*s**2*(s - 39295)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2119500 rounded to the nearest 10000?\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104 (base 5) in base 7?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 51*o**3 + o**2 - o + 13. Let k(c) = -52*c**3 - c**2 - 14. Let d(u) = 4*k(u) + 5*m(u). Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357979589.\nAnswer: 7, 29, 11615663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2826 and 4082?\nAnswer: 36738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 855635377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42.49547 litres?\nAnswer: 42495.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 - 26*y - 23. Calculate x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.122, 1\/3, 0.4, 0.9, 2, -3, 0.23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4526407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p**3 - 58*p**3 - 53*p**3 + 165*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2426, 4287, 5584, 6317, 6486, 6091, 5132?\n\"Answer: -282*m**2 + 2707*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5326*b - 4 + 1 + 1349*b.\nAnswer: 6675*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:11 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (3 + (sqrt(6655) - 4*sqrt(6655))\/(-3*sqrt(320) + sqrt(320) + sqrt(320)))**2).\nAnswer: 99*sqrt(11) + 12555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 = 13. Suppose 3*k = -5*p - 14, -2*p = p + o. What is the least common multiple of (3\/4)\/((-9)\/(-108)) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.081017 - 0.081. What is a rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29343585 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let r be 0 - 2 - (6 - (6 - -2)). Suppose -26*v + 28*v - 4 = r. Let y(u) = -4 + 4*u**2 + 4 + 4*u**v. Give y(q(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let q(u) = -b*u - 1 + 1. Let s(r) = -9*r - 11. Let x(g) = -5*g - 6. Let v(z) = 6*s(z) - 11*x(z). Determine v(q(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29999\/33 - -909. What is the closest to w in -0.5, 0.1, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1402770, -2805590, -4208414, -5611242, -7014074, -8416910?\n\"Answer: -2*r**2 - 1402814*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1020*l**3 - 4*l + 3. Suppose 10*w = 15*w + 10. Let t(g) = -510*g**3 - 2*g + 1. Let r(a) = w*i(a) + 5*t(a). Is r(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.4 (c) -0.13 (d) -211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16*(-21924)\/1827.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 439*n + 262. What is the units digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1292 + 2666 - 3*v - 1238 in the form c*v + p and give p.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 3. Suppose 2*h = 5*b - 20, -3*h - 5*b = -5 - 15. Let l be 2*(h + 12\/(-8)). What is n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*3 - (-9 + 14). Suppose -3*n + 6*w = w - h, -n = -w - 4. Solve -n = 4*f, 3*v - 13 = -f - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (7 - -3) - 2 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 237 - 0?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36660.16 nanometers to meters.\nAnswer: 0.00003666016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709 = -76*x + 51. Let g(s) = 2*s**2 - 12*s + 1. Calculate the lowest common multiple of x and g(9).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 + 2560*r**4 - 15678*r**3 - 316084*r**2 + 350296*r + 648144 = 0.\nAnswer: -1286, -9, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/z**(3\/8))\/((z**(-1\/8)*z)\/(z\/(z**(-3)*z))) assuming z is positive.\nAnswer: z**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkkbgbbbzgzbkzzbzb. What is prob of picking 2 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/9, 1\/39, 0.3, -19, -0.01?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.214 and -1.1?\nAnswer: -3.5354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 225250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50539 + 56062 = 11*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12850.0178 + 12873. Let u = l + -23. What is u rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -27. Suppose w*z + 8*z = 220. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/((-8)\/1716). Let w = -33 + h. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m + 81. Let a be l(-10). Let g(b) = -2*b**2 - 12. Let f(i) be the first derivative of i + 2. What is a*g(j) + 12*f(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 10. Let b be p(-4). Let n = b + -20. What is the second derivative of 25*v - 961*v**2 - 20*v**3 + 961*v**n wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f - 80*f - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/4, 0.01, -13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + (-2)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61071 divided by -2?\nAnswer: -61071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8395, -33584, -75565, -134338, -209903, -302260?\n\"Answer: -8396*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-5))\/(3\/(-6)). Let m = 93\/3289 - 8531\/69069. Which is the third smallest value? (a) -3 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/24*(-2)\/63.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 41 = -2*f - 58, 3*g - 31 = 4*f. Let u = 5 - 4.97. Put -1, 4, u, g in decreasing order.\nAnswer: 4, u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let a = -69.3 + 72.3. Suppose 0 = -0*l - 2*l + 44. Let u be 26\/l - (-14)\/(-77). Sort 2\/3, a, u, -1 in descending order.\nAnswer: a, u, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*y + 3284 = -h, -4*y - 63591 = 5*h - 63641 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358.852 rounded to the nearest 10?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.68 + 1.18. Let v = 1.95 + -2. Let w = v - -0.35. Which is the third biggest value? (a) h (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140692?\nAnswer: 2, 17, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -5*g**4\/24 - g**3\/6 - g**2. Let i = 9 + -10. Let r be k(i). Solve -s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42069*-3.\nAnswer: 126207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h + 4. Let f = h + 3. Suppose -4 = -2*q + f. Solve 0 = 5*p - 3*y + q, -3*y = -2*p + 7*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 + -8 - -4) + 12 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/96 - -6)\/(3\/(-12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtwt when four letters picked without replacement from {g: 7, t: 7, w: 2}.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from {o: 5, t: 1, z: 1, e: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -23*m - 12. Let v be 406\/(-21)*9\/(-6). Let z = v + -33. Is w(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/16)*h))\/h**16*h**(-8)*h**(-14)*h*h)**(3\/8) assuming h is positive.\nAnswer: h**(-1773\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12485937 is divided by 4161978.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 7*j - 76. Let n be i(8). Let o be 0\/(-2) - 21\/n. Which is the nearest to 0.3? (a) 5 (b) -4\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**2 - 62*z**2 + 7100*z**3 - 7100*z**3 - 9*z**5 wrt z.\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*3*-6*-1*sqrt(720)*-6*4)**2.\nAnswer: 4837294081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32190 and 100?\nAnswer: 321900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 85 + 5 = 0. Calculate the greatest common divisor of 60 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 10*k - 20*k**2 + 20*k**4 + 0*k**3 - 5*k = 0. Calculate k.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 3. Let r be b(0). Let a = r - -3. Suppose c - 8 - 4 = a. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/11, -0.03, -1, 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (12 + -15 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j + 3. Suppose -2*a = -5*a + 24. Let n be c(a). Is n >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 23 - 22 - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -59?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 45 = -5*l, c = 3*l - 35. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 12*y - 54)*(-y - 3*y + 2*y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 31 - 11. Let z be 18\/x*8\/(-6). Let p(m) = m + 7. Calculate the remainder when 49 is divided by p(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -760*k**4 - 735*k**3 + 3065*k**2 + 2940*k - 100 = 0?\nAnswer: -2, -1, 5\/152, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.1, 9.2, 11, -2\/3, -2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + 0*w**3)*((31 - 36 + 25)*(-12 + 11 + 14) + (3 + 1 - 3)*(-6 + 3 + 2)) + (2 - w**2 - 2)*(-2*w + 5*w - 2*w).\nAnswer: -519*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(75\/20))\/(14\/(-35)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(99))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -157. Suppose -4*x + 6703 = 2*f + f, -5*f = -s*x + 6727. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a - 1. Let k(u) = 0*u**3 + 3*u + 6*u**2 - 2*u**3 - 2*u - 5. Suppose -6*g + 3 = -3. Let f(b) = g*k(b) + 3*i(b). Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, a: 4, c: 2, l: 2}. Give prob of picking 3 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 9*f. Suppose -12*k + f*k + 12 = 0. What is the closest to 2\/3 in k, 2\/3, 28?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047*c - 495 = -1014*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/3*(-6)\/4. Suppose 4*c + 15 = d. Is 12 a factor of 3\/(c*3\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 9. Let z be y(-12). Factor 4*d - 2*d**2 - 2*d**z + 4*d**2 + 0*d**2.\nAnswer: -2*d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28773 is divided by 126?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -50, -58, -58, -44, -10, 50, 142?\n\"Answer: u**3 - 5*u**2 - 2*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77\/365 - -4\/365. Which is the third biggest value? (a) 90 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2 + 5 - 4 + 7*v - 1. What is the tens digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/((-11781)\/(-132)))\/(4\/12*-34)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 0*o - o - 3*o**2. Let u be y(-1). What is the smallest value in 6\/5, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.513 - 1.513. Which is the nearest to -2\/9? (a) w (b) -0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 19 - 1) + (-5 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130819162 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 2*c + 2*c)*(-18 + 192*c**3 - 190*c**3 - 16) in the form w*c**3 + z*c**2 + h + m*c**4 + a*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 425414 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 4. Let z(r) = 4. Calculate 3*n(w) + 4*z(w).\nAnswer: -3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1*(0 + -2). Let m be (-120)\/225*((-1)\/(-2) - -1). Which is the smallest value? (a) m (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4237379397?\nAnswer: 3, 41, 11483413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -370, -553?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6289 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: Round 649710 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 67. Which is smaller: g or 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = -2*n + 5*p, 4*n - p = -31. Let l = n - -5. Which is the third biggest value? (a) -1 (b) -3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979*h + 978*h = 6. Let i be (2\/h)\/(1\/(-6)). Factor -v + 1\/2*v**i - 2 + 1\/4*v**3.\nAnswer: (v - 2)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(-22*(-20)\/(-7260))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z + 7. Let s be l(3). Suppose s*v + 74 = 2*w, -4*v - v = 2*w - 47. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*j - 2*j - 4*j)*(157*j**2 + 140*j**2 - 347*j**2) in the form f*j + b*j**2 + t*j**3 + c and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.5 + 65.5. Which is the second smallest value? (a) 13 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 4*b. Let m be n(-3). Let v = 827.3 + -827.5. What is the nearest to 0.1 in v, m, -3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = 4*a. Let x be (-2)\/(-6) - 56\/a. Let c(d) = d**3 - 4*d**2 - 5*d + 2. Let l be c(x). Solve 0 = j + 2*t + 1 + 12, 30 = -l*j - 5*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38808915, 77617816, 116426703, 155235570, 194044411?\nAnswer: 232853220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -6\/205, 5, -15?\nAnswer: -6\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 22 + 14. Suppose y + 34 = l + 230, l = -n*y + 404. What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116905*f - 572 = -116879*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.4 - 8.03771?\nAnswer: -63.43771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(0 + 6\/(-4)). Let u be (14\/s)\/((-6)\/(-36)). Let x = u - 1. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22*(154 + -4)\/(-3). What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:34 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*x + 10253 - 239 = -15914 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, -2, -1, 2\/3, 1, 16 in ascending order.\nAnswer: -2, -1, 0.112, 2\/3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/2)\/2)\/(10 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8095 - -8095. Solve i = -678*q + 686*q + 64 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let a(v) = -1357*v. Determine a(p(w)).\nAnswer: 2714*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001701 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - 540*l**2 + 539*l - 692. Calculate s(-136).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(3\/9). Find the third derivative of n**3 - n**3 + 3*n**s + 2*n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/84 and 3\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40290 and 213.\nAnswer: 8581770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 16*b - 12. Let n be y(-15). Suppose n*h + 19 - 31 = 0. Let j(m) = m**2 - 6*m + 4. Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123845, -123095, -122345, -121595, -120845?\nAnswer: -120095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2641*a. Let z(f) = 1265*f. Calculate z(y(g)).\nAnswer: 3340865*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**2 + 4*x - 3*x + 69*x**2 - 3*x.\nAnswer: 125*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = 26*w. Let z be 1 - (0 - -2) - -5. Suppose -z = 2*h - w*h. Which is the nearest to h? (a) -0.5 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789 is divided by 355.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/10 (b) 1 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/70? (a) 4 (b) -1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let s = 5.1 + -5. Let v = s - 0.4. What is the third biggest value in j, 0.3, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3125 (base 7) to base 16.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -608, -1223, -1842, -2465, -3092, -3723?\n\"Answer: -2*o**2 - 609*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.7, 1, -2\/45, -4\/7, 0.014?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/25470 and 91\/764100.\nAnswer: 764100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478155073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -92, -222, -460, -842, -1404?\n\"Answer: -6*p**3 - 16*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 + -55. Let v = t + -222. Solve -h + 6 = v*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8492188 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(6\/(-20) - 23\/(-46)). Sort -14, -0.01, s in ascending order.\nAnswer: -14, -0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1012 - -0.8988. Let w be (4\/6)\/(1\/(-15)). Which is the second biggest value? (a) 2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214835.6506 plus -1050?\nAnswer: -215885.6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*c**2 - 12 + 34 - 25 to g*c**2 + m*c + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 19*a - 2. Let h = -8 + 10. What is the units digit of b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-42)*v**(-31)\/v assuming v is positive.\nAnswer: v**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d - f + 12, -3*f + 9 = 0. Suppose 64 = -d*m + 7*m. Solve 2*a - 3*b + m = 0, -b - 2 + 9 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -99 (b) -3033 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-10\/3)*z)\/z)\/z**(-4\/15))\/(((z\/(z**(-5\/3)\/z))\/z)\/z)**(-16) assuming z is positive.\nAnswer: z**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 63. Let h = 22 + w. Solve 4*k + 4*d = d + h, 2*k = 3*d + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-3)\/(3090\/20)). Calculate the greatest common divisor of z and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (3 + -4 - 0 - -13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24797 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 2171?\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 3 (c) -3 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64170, 6, 16, -1, -2 in ascending order.\nAnswer: -64170, -2, -1, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 + 64758\/903. What is the highest common factor of 297 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -4 + -1 + (sqrt(1008) + -1 - sqrt(1008)) + sqrt(1008) + (4 + 1*sqrt(1008))*-4 + -3).\nAnswer: 110 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -611, -1370, -2445, -3842, -5567, -7626?\nAnswer: -10025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 537 - 121 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5180*b + 77706. What is p(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*r = -1265*r - 41471 - 19578 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 71 + 67 + 48. Let k = -4 - -7. Suppose c = -k*y + 4*y. What is the highest common divisor of y and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2171 and 4784383?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1701887 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*d**2 - 2*d**2 + 3 + d + 1 - 1 + d**2 + (-3 + d + 3)*(0*d - d - d) + 2*d - d**2 - 2*d + 1 + 3*d**2 - 1.\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.2. Suppose -j = 2*w - 4, -3*w - 5*j = -w + 12. Suppose -w*f - 3*x + 23 = -2*x, 2*f - 3*x = 1. What is the third smallest value in f, s, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*k**3 + 2*k**2 + 650*k.\nAnswer: 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113435?\nAnswer: 5, 263, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 4346.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*s + 34*s - 10991856. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 67. Suppose d + 5*f + 5 = -4, 2*f = 4*d - 8. Let j = d + g. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 750*q. Let u(z) = 2*z**2. Determine n(u(t)).\nAnswer: 1500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -294*h - 2665. Calculate u(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1136 + -1177. What is the nearest to d in -14\/3, 3, 5\/2?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 5. Let k(f) = f - 9. Let i(g) = -2*g + 8. Let s(m) = 5*i(m) + 4*k(m). What is -5*o(z) + 6*s(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218631.\nAnswer: 3, 7, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let z(m) be the second derivative of 1\/2*m**2 + t + 1\/12*m**4 - 1\/3*m**3 + m. Suppose z(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*(-68)\/(-2244).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f**4 + 1\/18*f**3 + 5*f**2 + 0*f - 1\/180*f**5 + 11. Let n(a) be the second derivative of v(a). Factor n(c).\nAnswer: -(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -3002.\nAnswer: -149\/3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 43*r + 57. Let h(n) = -23*n - 28. Let w(i) = -2*g(i) - 5*h(i). Does 20 divide w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935230274?\nAnswer: 2, 4637, 316501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -2881, -5322, -7817, -10360, -12945, -15566?\nAnswer: -18217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/940372 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 232703, 465465, 698225, 930983, 1163739?\n\"Answer: -c**2 + 232765*c - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8795 + 8796 + 189*w - 49*w to the form f + u*w and give u.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76784328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -93. Let a be (-528)\/(-162)*(-330)\/1388. Let u = a + -1\/347. Is u < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and -0.15.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14802191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.5 (c) -3 (d) 4 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-15) + 8\/12. Which is bigger: 7 or z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13567 in 1\/4, -2, -2\/9, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 226\/(-8). Let l be (-18)\/63 - (-1)\/s. Let x = 0.1 + -0.1. Which is the nearest to x? (a) 0.3 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 337 + -337.212. Let r = 0.01 - 0.022. Let t = f - r. What is t rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from irrrrroirirori.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-90)\/(-18)*8\/10 + 47 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/16296 and 67\/10353.\nAnswer: 8033928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d. Let a(c) = 2*c**2 - 58*c. Determine b(a(w)).\nAnswer: -10*w**2 + 290*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*v + 3 = -0*y, 0 = -3*y - 3*v. Let c = y - -1. What is the third derivative of 3*g**2 - c*g**5 - 7*g**3 + 7*g**3 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + -5 + 2 + (-1*sqrt(243) - sqrt(243) - sqrt(243)))*-4*4)**2.\nAnswer: 41472*sqrt(3) + 562176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -13, -33, -71, -133?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 380836*t + 9900384.\nAnswer: 2*(t + 26)*(t + 190392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -114654 and -114655 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/90 + n**4\/36 + 2*n**3\/9 - 2*n**2 - 18. Let g(x) be the second derivative of a(x). Suppose g(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 5 = -22*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -54. Suppose 165 = 5*f - d. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36433499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*z = 4*w - 61, z + 12 = w. Suppose -4 = -4*g, -4*h + 3 = -2*g - 3. Solve w = h*i - 4*i + 3*l, 4*l - 32 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14*l - 8. Calculate the remainder when c(5) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2675 + -367231.\nAnswer: -364556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*183\/2440)\/((-27)\/(-60))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 34 - 214. Is (-5)\/(o\/9909) - 10\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 72\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-1 + sqrt(162) - sqrt(162)) + sqrt(162) + 2)*-1)**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-7006 + 3315 + 4611)*(2*c - 2 + 2) to m*c + i and give m.\nAnswer: -3680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-11) + ((-60)\/4)\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3238 (b) 0.03 (c) -0.24 (d) -5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.819 + 2.7. Let d = h + 0.1424. What is d rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buoykbybykbykby. What is prob of picking 1 o, 1 u, and 1 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111264 and 2736.\nAnswer: 333792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 0 + 3\/(-1) - -227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-8))\/(-3)*(-196)\/(-343)*-7. Solve -12*r - 10 = -7*r, 3*r + x = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5. Let x be r(0). Let d = x - 2. Solve 5 = -d*p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 40.7. Let r = u - 1.3. Let s = -5.975 + r. What is s rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2962.2 + 2962. Which is the third smallest value? (a) 0.1 (b) -1.6 (c) h (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i - 2)*(-1 - i**2 + 1) - 21*i**3 - 23*i**3 + 21*i**3.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2966?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 6959 = 35024. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + q = 3*q - 44, -4*b = 2*q - 56. Suppose -d - 7 = -b. Suppose -3*v = d*x - 515, v - 4*v - 309 = -3*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1\/1) + 0. Let o be (11 + x)\/((-1)\/(-1)). Suppose 7*q + 138 = o*q. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 34*x - 3. Calculate o(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 11*a**2 + a + 4. Suppose -m - 4*b + 11 = 0, -4*m + 2*b + 43 + 1 = 0. Let g be p(m). Solve 0 = -3*c - 5*u + 6 + 4, -2*u - g = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 53138*t**3\/13 - 88020*t**2\/13 - 37152000*t\/13 + 399384000\/13 = 0.\nAnswer: -30, 2580\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 32*j**2 - 88*j - 19. Let d(i) = 16*i**2 - 44*i - 9. Let z(l) = 5*d(l) - 3*v(l). Factor z(b).\nAnswer: -4*(b - 3)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*s = -12, 4*s + 3 = 4*f + 3*s. Suppose -k = -h - f*h - 64, 0 = 3*k + 3. Let i = h + 69. Put 6, i, 2 in decreasing order.\nAnswer: 6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149955 - -221612. Suppose 10*n - z = 131033. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2069 (base 11) to base 5.\nAnswer: 41422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - b**4 + b**4)*(1 - 2 + 3) - 10*b**4 + b + 421 - 421.\nAnswer: -14*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2, -4\/7, -0.3, 47, -3\/56?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*(i\/i**(-2\/7))\/i)\/i*i)\/i*i)\/i)\/i**(1\/4))**(14\/3) assuming i is positive.\nAnswer: i**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 7, l: 4, t: 3, d: 2}. Give prob of picking 1 t and 1 l.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m + 12 - 44*m + 17*m + 15*m. Let s = 4 - 10. Let i be v(s). What is the biggest value in i, 6, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 126*d + 102. Let u be o(8). Suppose 9*h - u = -318. Calculate the greatest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i - 44 = 52*i - 304 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:38 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11929 by -5.\nAnswer: 11929\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1016, 1014, 1012?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 132 = 80 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2324, -4, -49 in decreasing order.\nAnswer: 2324, 1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + 1*sqrt(100) - sqrt(40)\/(2*sqrt(10)))\/(-6*(sqrt(242) + 5*(sqrt(242) - (sqrt(242) - sqrt(242)*-3)))).\nAnswer: 19*sqrt(2)\/1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -25. Suppose -w + 1 = -4. Suppose a*b = w*b + 8750000. Round b to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 2 - (-22 - (-34 - -5)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/2 + 1431*p**3 - 263379*p**2\/2 + 3068874*p - 2938614 = 0. What is p?\nAnswer: 1, 37, 62, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458446*h**2 - 197401*h wrt h.\nAnswer: 916892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/6, 0, -0.128, -0.1 in decreasing order.\nAnswer: 1\/6, 0, -0.1, -0.128, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 3*h - 3*h - 2*h + 24. Let y be g(19). Let d(t) = 0 - t - 6 - 2*t + t. Give d(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -53e?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12214024 - 41?\nAnswer: 12213433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {a: 2, y: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:51 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {v: 5, f: 3, w: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a + 2. Suppose g - 7 = 2. What is the lowest common multiple of j(g) and 22?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 1. Let c = 141 + -96. Suppose -w - 3 = x, 3*w - c = 5*x - 6. List the prime factors of k(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**5 + i**4 - i**3 + i**2 + i + 1. Let h(s) = 7*s**5 + 4*s**4 - 2*s**3 + 2*s**2 + 2*s + 2. Let z(c) = 4*f(c) - 2*h(c). What is b in z(b) = 0?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94458, -88264, -82070, -75876?\n\"Answer: 6194*g - 100652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiihiiiih?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x - 2. Let j(u) = 51*u**3 + u - 12. What is j(c) - 6*t(c)?\nAnswer: 57*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 59*n + 510. Let f be l(50). Sort -3, -5, 4, f in ascending order.\nAnswer: -5, -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 479771489 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 143.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11670.7331 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -31. Does 21 divide (-7)\/((10\/(-12))\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 178 = -177 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226\/5 + 46. Let j = 37 - 35. Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -0.06175774\nAnswer: 12.06175774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 - 580. Let c = h - -240. Let k(v) = -15*v**3 + v**2 + v - 1. Determine k(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 + d + 2. Let c be b(-1). Let v be 6\/(-15)*c - (-102)\/30. What is the third derivative of 34*a**6 + 18*a**2 - 5639*a**v + 5639*a**3 wrt a?\nAnswer: 4080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148654 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3 + 99*d - 73.\nAnswer: 6*d**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736459 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/8 + 15965*y**2\/8 + 7981*y\/4 - 3991.\nAnswer: (y - 1)*(y + 2)*(y + 15964)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/2 + (-2)\/(-2). Let d be (-417)\/z - 3\/(-21). Suppose 0 = -5*x + 4*u + 18, 2*u + d = 5*x - 3*u. Solve x = b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 329 in -8, 3, 1, -5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.81 and 1119354.\nAnswer: 1119343.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*y + 2*y. Let f = -4 - y. What is the units digit of (f\/(-4))\/(2\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i + t - 4, 8 = 2*i - 2*t. Solve 3 + i = h - 3*s, 4 = 4*h + 4*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 - (-22)\/9. Let q = 276676.6 - 276677. Which is the biggest value? (a) t (b) 2.4 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120223979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291464308 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112588 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let l(x) = -3*x - 3. Let g(b) = -6*k(b) + l(b). Let o be g(7). Does 17 divide 310\/o - 6\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047402361 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-10)*(-7)\/7*6\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -134. Let a = b + 39. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 3*((-1 + 0 + sqrt(891))**2 + sqrt(891)))*4.\nAnswer: -32148 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/40 + 4*d**5\/15 + 5*d**4\/24 - 5*d**3\/3 + 104*d**2. What is the second derivative of s(v) wrt v?\nAnswer: -18*v + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2 - 0) + 27\/12). Which is the second biggest value? (a) -0.5 (b) -0.3 (c) n (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23659 - 648*k + 23659 - 663*k - 647*k.\nAnswer: -1958*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14432492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248\/(-234))\/4 + 39*(-153)\/(-53703).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 9863\/2081 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22755, 29887, 37019?\nAnswer: 44151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from lelrcrh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2116\/6)\/((-4)\/(-24)). Suppose -f = -6*c + 2*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from jymmjmyjjh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-6842)\/(-495)) + (-6)\/(-27)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1296?\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -539 (base 11) to base 7\nAnswer: -1613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -25. Let r(g) = 3*g - 5. Calculate the smallest common multiple of 9 and r(p).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 8\/27 (d) -1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5534728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 140*a**4 - 18*a**2 - 3 wrt a.\nAnswer: -60*a**2 - 3360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -181. Let o = -143.6 - b. Put -1, -4, o, -2 in increasing order.\nAnswer: -4, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(132) + (sqrt(132) - sqrt(132)*2 - sqrt(132)))\/sqrt(12)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvy when three letters picked without replacement from kdydvktokytkkktyvk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmhahcmm. Give prob of sequence maa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 4. Let g be t(-6). Let z = -6 + g. Let b = z + 4. Solve b = j - 2 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n + 0*n - 1 - 1. What is the remainder when q(-4) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + p)*(5*p**3 - 4*p**3 + 0*p**3 + 2*p) + 3*p**4 - p**4 - 4*p**4.\nAnswer: -5*p**4 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3991*q**2 + 2065*q**2 + 2036*q**2.\nAnswer: 110*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(275) + sqrt(275))**2 + -2 + sqrt(275)) + sqrt(132)\/(sqrt(12)*-4) + (2 + -2*sqrt(11))**2.\nAnswer: -2150 + 87*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 z when three letters picked without replacement from {c: 4, y: 2, z: 3, k: 1, u: 1, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u - 19. Let d be ((-16)\/28)\/(6\/(-357)). Let m = d + -24. List the prime factors of h(m).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002083879017 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 7. Let t be h(-5). Suppose 5*r - 2*w = 238, -r - 2*r = -t*w - 150. What are the prime factors of (-6 - -8)\/(1\/r)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l. Let z(y) = -2625216*y. Determine v(z(u)).\nAnswer: -31502592*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4205895481636 - 1.6.\nAnswer: -4205895481637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719960964?\nAnswer: 2, 5651, 76091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7514.2021 - 7522.7. What is x rounded to 2 dps?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 3 (c) 5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/2 + (12 - -8). Suppose 64*s - 71*s - r = 0. Put s, 1\/2, -26 in descending order.\nAnswer: 1\/2, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -5 + 3 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * -2378\nAnswer: -61.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 1577 + 1188 = 409 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80834 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 + 4 = 3*c, 2*z + 5*c - 9 = 0. Suppose -z*g - g = 5*u - 39, -36 = -5*u - 2*g. Solve 3*v + 0 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - p**3 + 2*p**3 + 1 + (-9*p - 7*p**2 + 9*p)*(2*p - 5*p + p) as r*p**2 + d + f*p + w*p**3 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 99*r**2 + 112*r + 1376. Let o be k(-98). Solve h + 18 = o*b + 37, -3*h = 2*b - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-9)\/(-4) - (-6 + 2). Suppose -4*l = 2*v + 2*v - 16, -2*l + 6 = 4*v. Put v, -2, x in increasing order.\nAnswer: -2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*t - 6 = 0, -3*g - 28*t + 22*t = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/((-440)\/33))\/(33\/(-330))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.106? (a) -0.2 (b) -0.07 (c) 88 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) 0.13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from ppymppmypypppymm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 5:29 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -91, -209, -385, -625, -935, -1321?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 18 + 6*u**3 - 14.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r + 5*t = 49*r - 42150, -r - t + 8434 = 0. List the prime factors of r.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -413607 or -413608?\nAnswer: -413607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 + 183. Suppose t = 2*f + f - 903. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 32) + (-2 - -5) + 4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 8*j**2 + 4*j + 4. Let y be h(7). Suppose 0 = -t - 0*t + 29. Let u = t + y. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 10*u - 5*u - 5*u - 16.\nAnswer: -16*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -288 + 279. Let q be w\/27*(2 + -191). What is the greatest common divisor of 84 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(13) + -2)**2*2 - (sqrt(104) - 2*sqrt(104))\/sqrt(72).\nAnswer: -95*sqrt(13)\/3 + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -821551 - -6581337\/8. Let a = 1106 - d. Find the common denominator of a and -65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3251*k + 3*k**3 - 3233*k - 5*k**2 + 5*k**2.\nAnswer: 3*k**3 + 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5392, -10766, -16132, -21490, -26840, -32182, -37516?\n\"Answer: 4*c**2 - 5386*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.33 - 27.87. Let m = l - -1.94. Let h = 25 - m. What is h rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - p**2 + 3*p**2 + 108 - 108.\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266 - -274. Suppose 0 = -2*z + 2*d, -2*z + w - 3 = 3*d. What is the greatest common divisor of z and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -7, -31 in decreasing order.\nAnswer: 3, -6, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 262797 and 92136?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 3*h. Let g be i(-4). Let y = 15 - g. Suppose 3*t = -4*c + 17, -25*t - c = -23*t - 8. What is the remainder when y is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 144 and -0.043518.\nAnswer: -6.266592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/19, 160, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 0.03, 0, -0.4, 6, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 - 5547.526?\nAnswer: -1205.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 80 = -10*z + 19*z, 2*r = -z - 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67*(-1)\/45*3 and 107961\/(-16975) + (-1 - 0) + 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**2 + 45*o - 33. Let d be j(2). Solve 138*q - 19 = d*q + 3*t, 5*t + 9 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 153e284?\nAnswer: 153e274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from sitwz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-55))\/((-2)\/((-35)\/((-245)\/(-154)))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -857\/63 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let x be i\/4 - (-3)\/(-12). Suppose l - 3*v - 19 = x, -2*l = -2*v - 7 - 15. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -19*k**2. Let j(o) = -3006*o**2. Determine s(j(w)).\nAnswer: -171684684*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -r + 3*o + 22, 15 = -3*r + 3*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*b - 540*b + 10 + 4 - 9 - 4 + 271*b.\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2))**(-1\/29)\/(p**(-2\/5))**4 assuming p is positive.\nAnswer: p**(237\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 5*w + w)*(5*w**2 - w**2 - 3*w**2) + 11 + 204 - 6118*w**3 + 2*w + 6120*w**3 to i*w + m*w**2 + x*w**3 + n and give n.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3 + 123*y**2 - 396*y = 0.\nAnswer: -44, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**9\/336 + u**6\/180 - u**3\/2 + 7*u. Let p(t) be the second derivative of i(t). What is the third derivative of p(r) wrt r?\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -37*u**2 + 0 + 0 + 2*u**2. Let f be k(-6). Round f to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 3*m**2 + 4*m + 2. Let o = -4 + 4. Suppose 0 = -3*g - 2*d - 10, o*d - 2 = -g + 2*d. What are the prime factors of i(g)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 37, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -3 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -158, -138, -110, -74, -30?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273*s + 281*s + 1232 + 24785 = -3509 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285703068 divided by -5.\nAnswer: 285703068\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.127, -1, 1.13, 0.05, -0.4 in decreasing order.\nAnswer: 1.13, 0.05, -0.127, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from {s: 2, t: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c - 4. Let u(q) = 22*q + 10. Let k(o) = -5*u(o) - 12*w(o). Let t(d) be the first derivative of d**2\/2 + d + 53. Determine 4*k(s) + 10*t(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*g - 76*g = 3063 - 235 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15120 and 210.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 2 - (-23 - 3). Suppose -4*i + 5*i - 2*o - 24 = 0, i - 5*o - s = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966113478?\nAnswer: 2, 2483056739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -2*h**3\/3 + h**2\/2 + 9*h. Let g be a(-1). Solve 2 = -g*f + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (-114)\/(-27) - 14\/63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 24029.31005 to the nearest 10.\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:07 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1232.8 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121 + -101102020?\nAnswer: -101002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -14 - (-1 + 2 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134.455 and 0.2.\nAnswer: 26.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17500 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-3))\/(-2) - (-29 + 55). Let n(v) = -10*v - 161. What is the lowest common multiple of 3 and n(s)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j - 9. Calculate the remainder when o(7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*d + 39, -3*v - 1 = -4*d - 31. Let f = 6 - 2. Suppose -f*s = w + v, 0 = 7*s - 2*s + 20. What is the remainder when 47 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-32)\/r*r*r))\/r*r\/((r*r**(-13\/4)\/r*r)\/r) assuming r is positive.\nAnswer: r**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -10 - 6*n + 18\/5*n**2 - 2\/5*n**3 = 0. What is n?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 32. What is k(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232696, -465438, -698180, -930922, -1163664, -1396406?\nAnswer: -1629148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -34708, -3, 1 in ascending order.\nAnswer: -34708, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7 = -9. Let r(x) = 6*x**2 - 7*x + 13. Let d(t) = t - 1. Let w(a) = -2*a**2 + 4*a - 6. Let n(m) = 2*d(m) - w(m). Give c*r(j) - 7*n(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000929 rounded to seven decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p + 140. 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: Suppose -56 = 4*j - 4*n, j + 2*n + 0 = -2. Let s be (15\/j)\/(3\/4) + 2. Solve s*b = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/66 and 137\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2*j + 5. Calculate n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -923 + 925. What is the third derivative of -42*t**n - 4*t**2 - 7*t**3 + 41*t**2 - 21 wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 10*p. What is the closest to 1\/8 in 29, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/525*(-5)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3810 and 172974.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -3 - -4)*4. Suppose m - q = 4*d + 101, -5*d = 25. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 32 = 5*j, -j = -4. Let s = 4 + t. Let f = 2 - -2. Solve -f*c = -s*c - 20, 0 = -3*n - 2*c + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 822 and 570.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 14 - 1 - (11 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 1 + 2)*((4 - 5 + 0)*(g**2 - g**2 + 2*g**3) - 2*g**3 + 3*g**3 + 3*g**3).\nAnswer: -50*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -26. Let n = k - 23. Sort n, 0.2, 16.\nAnswer: 0.2, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0129 and -0.4.\nAnswer: -0.4129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 22) + -49 - (23 - -23)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*20\/(-8) + -1. What is the third derivative of 3*o**4 - 3*o**4 - o**2 + 5*o**4 + 3*o**u wrt o?\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 3 (b) 1\/4 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 16. Let r(y) = -50 + 2*y + 179 - 48 - 66. What is 5*r(a) + 6*w(a)?\nAnswer: -2*a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 3. Let f be (-254)\/(-2667) - (-130)\/(-42). Let z(k) = -20*k + 8. Give f*z(m) - 8*g(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 14.5?\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22489, 30783, 44607, 63961, 88845, 119259?\n\"Answer: 2765*t**2 - t + 19725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - f + 3 = 0, 0 = -3*u + 7*u + 2*f - 6. Which is the closest to u? (a) 3 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufi when three letters picked without replacement from cfuziiiiifyiiii?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 2. Determine c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 less than 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 451566 - 451566 + 4*d. Let y(t) = 643*t. Determine n(y(p)).\nAnswer: 2572*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/3)*m**(-13\/5)*((m\/(m**(1\/32)*m))\/m)\/((m\/(m*m*m*m*m*m**(-4)))\/m*m) assuming m is positive.\nAnswer: m**(-1103\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*i + 41 = -229*i + 3*y, -2*i + 2*y - 14 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**7\/168 + v**6\/60 - v**4\/24 + v**3\/24 + 13*v - 3. Let j(z) be the first derivative of k(z). Factor j(u).\nAnswer: -u*(u - 1)**3*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a, 142*j - 18 = 140*j - 4*a. Let x be (-6)\/(-4) + -1 + -5. What is the third smallest value in j, x, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-5)\/sqrt(5))\/sqrt(2).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and ((-568)\/(-716))\/(52\/(-13)).\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1766, -280, -12, 0 in descending order.\nAnswer: 0, -12, -280, -1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*h + 5, 2*g = 5*g + h + 9. Let w be (-1 + 20\/21)*-6. Let c = -0.1 + 0.1. What is the second smallest value in c, w, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/42 + (-2)\/(-7). What is the derivative of 2*u + 3 - 2*u + 0*u - d*u**2 wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w + 231 = -28*w. What is the remainder when 1171 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 60*t + 2. Let c(o) = 16 - o**2 - 3*o - 4*o + 8*o. What is the remainder when u(1) is divided by c(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*f - 16, 0 = 223*f - 221*f - t + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let m(k) = 3*k + 3. Let u(l) = -m(l) + 2*o(l). Let r be u(0). Let a be -2*12\/(-32)*-4. Sort r, 6, a in increasing order.\nAnswer: r, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -198*j + 793. Let v(r) = -53*r**2. What is x(v(i))?\nAnswer: 10494*i**2 + 793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 28*j = 1080. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 159\/1451450 and -101\/4550.\nAnswer: 1451450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34868*r**3 + 723*r + 14.\nAnswer: 209208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3410 + 211399\/62. Find the common denominator of 73\/9 and n.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43958, 43881, 43802, 43721?\nAnswer: 43638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479180 = 4455*t + 589*t for t.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 450 = -0*c. Suppose -2*z = -5*s + s - c, 4*z = s + 321. Suppose -4*p = 4*a - 120, p - 5*a - z = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 1340 = -19*m. Solve -m*t + 20 = -71*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 0)*(4 - 3 - 2) + 3 - 4 + 2)*(-63*q - 3751 + 3751) + (-3 - 1 + 2)*(0*q - 2*q + 3*q) as u + l*q and give l.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48790, 97586, 146382, 195178?\nAnswer: 243974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 993896 and -0.05?\nAnswer: -49694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 23 = 5*g, 0 = -3*g + 3*z - z + 17. Let s(y) = -20*y**3 - 4*y**2 + y + 18*y**g - 2*y + 3. Determine s(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9625 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: What is 367 minutes before 4:07 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 17 = 4*q, -p + 4*q = 10*q + 5*q + 6*q + 52 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.04 + -0.04. What is the third biggest value in -2, a, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100011 - -100110110110?\nAnswer: 110010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/222 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2. Let o(m) = 101*m**2. Calculate o(a(w)).\nAnswer: 1616*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*a - 5*a + 6*a to s*a + y and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -127. Let v = t + -72. Let d = v - -15. What is the third smallest value in -2, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2731 + -1852. What are the prime factors of y?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Let l(k) be the third derivative of 0*k + 2*k**2 - 1\/120*k**6 - 1\/12*k**4 + 1\/15*k**5 + 1\/3*k**3 + j. Calculate l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzlq when four letters picked without replacement from zvvqblbzcvzq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221010220 + -2?\nAnswer: 2221010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/(1\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-2 - 0\/4). Let n be 0*(6\/3)\/2. Sort w, -1, n in decreasing order.\nAnswer: n, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*z + 9, -2*z + 8 = -0*z. Suppose -o + h = -0*o. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.152 + -318.3039596\nAnswer: -318.1519596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*a + 2 + 7 + 11.\nAnswer: -191*a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*w + 13, w + 4*n = -13 - 1. Suppose -10 = 5*d + 3*k, -3*d = -k - 13 + 5. Is w less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 15*x + 42. Determine u(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3842 and 50850.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9637*z + 19276. Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.007 and 30731?\nAnswer: 215.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/20 - x**4\/6 + x**3\/2 + 3*x**2 - 11*x. Let k(s) = -s**3 + 5*s**2 + 6*s - 5. Let p be k(6). Is 22 a factor of o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 8, t: 4, o: 2, d: 1, x: 4}. Give prob of picking 1 t and 2 b.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a + 5. Let s(l) be the first derivative of 17*l**2\/2 - 6*l - 599. Calculate -6*d(r) - 5*s(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 12*q + 5. Let u(o) = -o**2 - o. Let m(c) = g(c) + 5*u(c). Let x = -327 + 320. Determine m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*g**6*x**3 - 1306*g**6 + 422*g**2*x**3 - 183*g**2*x wrt g.\nAnswer: -7320*g**3*x**3 - 156720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 160258*a + 2243675. Calculate y(-14).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 23. Let v be 3 - (t - 0) - (6 + -3). Suppose v*y = -3*g + 404 - 15, 2*y + g = 379. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5698 or -1942722\/341?\nAnswer: -5698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11001001?\nAnswer: -11000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllgplppllpppllpl. Give prob of picking 2 l and 2 p.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(5 + -5*(sqrt(931) + ((1 + sqrt(931))*-1 - sqrt(931))) + 3 + (1*(sqrt(931) + 1)**2 - sqrt(931))).\nAnswer: -34020 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -76607969 greater than -76607969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + z - 10. Let o be s(8). Let f be (-1)\/(0 + o\/6). Suppose i + 2*l = -0*l + 14, f*i = -4*l + 36. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3135 - -7472. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2527385.\nAnswer: 5, 7, 72211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7546*n - 25 + 25 - 7544*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33383 (base 11) to base 6\nAnswer: -1011534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + 4*(sqrt(9)\/sqrt(3) + sqrt(3)) + -4.\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = 12*w + 56 - 156 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 4*z + 0*z)*(20 + 11 + 6)*(2 - 6 + 2)*(-76 + 282 + 172) in the form m + q*z and give q.\nAnswer: 83916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2210, -3, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6319\/4 + 1582. What is d in 5\/4 + 29\/4*d + 39\/4*d**2 - t*d**3 = 0?\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3255 times -4\nAnswer: -13020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1444423 + -254577. Round b to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.81 - -7.99. Let n = p - 6.55. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = x + 190, -146 = -5*c + 5*x + 84. Let h = 91 - c. Calculate the remainder when 125 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let k = h - 0. Let g = -3.8 + -0.2. Which is the biggest value? (a) -2\/7 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345 or 5318?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d + 308. Suppose 3*o + 3*t + 6 = 0, -2*o + o - 12 = 3*t. What is the common denominator of 5 - 3 - d\/o and -17\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -451\/5. Let o(p) be the first derivative of p**2 - 14\/15*p**3 - 3 + y*p. Factor o(u).\nAnswer: -2*(u - 1)*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 238 + -243 + (-2 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1632 by -41.\nAnswer: 1632\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**3 + 25*s**3 + 25*s**3 - 78*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 9*p**2 + 2 - 3 + 3 + 2*p to a*p**2 + z*p + c + q*p**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5564 and 1177.\nAnswer: 61204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4\/3 (b) 0.1 (c) 605 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2*p**7\/7 - 29*p**6\/10 + 267*p**5\/20 + 154*p**4 + 394*p**3 + 240*p**2 + 27*p + 4. Solve c(f) = 0 for f.\nAnswer: -8, -2, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*(-108)\/((-2124)\/59).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)*c**(4\/3))**(-29) assuming c is positive.\nAnswer: c**(-754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -29*a. Let g(x) = -2*x**2 - 863970*x + 1. Determine t(g(y)).\nAnswer: 58*y**2 + 25055130*y - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*z + 139. Let p = -39 + z. Solve -5*v + 0*c + 5*c - p = 0, 2*c - 9 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-1615)\/133)*8?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39271 or 39267?\nAnswer: 39271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -26. Suppose -2*k = -k + 4, s = -q + k + 11. Calculate the remainder when 27 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*a = -2, -7*r + 23 = a - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 15. Let q be y(-14). Let v(s) = 14*s + 1. Calculate v(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*-1*sqrt(832)*-5.\nAnswer: -1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 483 divided by -3\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -82638 greater than -82636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -294*g + 896*g - 300*g - 298*g. Let k(n) = -36*n**2 - 2. Determine p(k(j)).\nAnswer: -144*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03566459 from 2.\nAnswer: 2.03566459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14034 = -8*t + 2*t. List the prime factors of t.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.106 - 0.106. Let y = 0.64252 + -75.58352. Let c = y + j. Round c to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5064*m + 131407. Calculate n(-26).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let b(k) = -5 + k + 14 - 4 + 3. Let p(n) = -n - 7. Let u(t) = 5*b(t) + 6*p(t). What is -6*u(d) - 5*z(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(-1)*-2*(1850\/1800)\/37.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7228085 rounded to one dp?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) + sqrt(160)\/sqrt(8) - sqrt(5)) + 2*sqrt(539)*-5 + (-3 + sqrt(11) + -1 + sqrt(11)*-1 + -1 - (3 + sqrt(11) + sqrt(132)\/sqrt(3))))**2.\nAnswer: 1160*sqrt(11) + 231531\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9033 and -49\/646?\nAnswer: 5835318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t\/((t\/(t\/t**(-37)*t))\/t) assuming t is positive.\nAnswer: t**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:28 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**24*h))\/(h*h\/(h*((h**(2\/63)\/h*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-1699\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10945229, 10945228, 10945227?\nAnswer: 10945226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + k - 4. Let f(m) = 21*m**2 - 6*m + 21. Suppose 112*s - 118*s - 66 = 0. Calculate s*q(p) - 2*f(p).\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15892.17668 + -6131.\nAnswer: -22023.17668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195777 is divided by 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 49103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 153*r**2 - 154*r**2 + 3*r - 3*r. Let f(j) = -5*j**2. Let t(u) = -u**2. Let x(g) = 5*f(g) - 50*t(g). What is s(x(w))?\nAnswer: -625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 345474 divided by -2\nAnswer: -172737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*q + 232 + 297 = 164*q - 353*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 2, p: 2, g: 1, n: 8}. Give prob of sequence jg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -423047\/63 and -6714 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 + 7*h + 4. Let v = -14 - -7. Let a be w(v). Suppose 0*z + a*z - 8 = 0. What is the closest to 2 in 0.1, z, -3\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-24)*(-332)\/(-1162)*48\/32\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a5013 (base 11) in base 6?\nAnswer: 123335105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/77, -2\/7, -0.1173?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -36, -64, -112, -186, -292, -436, -624?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -9*j + 52. What is the remainder when j is divided by (16\/6 - 2)\/(54\/486) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -435\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*-2*1728\/(-1296)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6.91. Let v = x - 0.21. Sort v, -5, -8 in increasing order.\nAnswer: -8, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**3 - 39*w**3 + 16*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = g + 51 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.41372 millilitres to litres.\nAnswer: 0.01241372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (5 + -4)) + 3. Solve -3*b + 2 = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100413637\/370 - 271388. Find the common denominator of -113\/50 and s.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11)\/4)\/((-9)\/(-18)))\/((-9)\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 2 - 2*a**2 - 3 + 8*a. Let w = 31 - 26. Let u(x) = -4*x**2 - 4 + x**2 + x**2 + w*x. Calculate -6*g(p) + 7*u(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -2056910705129?\nAnswer: -2056910705129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*r + 6*r**2 + 2 - 53*r - 3*r**4 + 27*r to a*r**4 + u + b*r**3 + k*r + p*r**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 27*q**3 - 27*q**2 - 147*q - 90 = 0. What is q?\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y + 25. What is the lowest common multiple of 12 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*n - 2*n - 232 = 0, -4*d + 456 = -2*n. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6791953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.4. Let i be (3\/5 - (-112)\/80)*-1. Let s be i\/(-12)*(5 + 25\/10). Which is the closest to h? (a) -2\/15 (b) -10 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, -90, -542, -1404, -2808, -4886, -7770?\nAnswer: -11592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92472257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -68*d**4 + 36*d**3 + 144*d**2 + 56*d + 8. Let y(k) = 23*k**4 - 12*k**3 - 48*k**2 - 19*k - 3. Let c(u) = -3*h(u) - 8*y(u). Let c(t) = 0. What is t?\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -205\/4. Let g(l) = l. Let i be g(4). Suppose 4 = t - i*c + 19, -3*t = 5*c - 23. What is the closest to t in 0.5, b, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190271*a**3 - 87*a + 5900393.\nAnswer: 570813*a**2 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39*(-4 - (-800)\/204). Is b at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 21*j**2 + j - 17. Let r be x(21). Find the second derivative of 11*f + 8262*f**r + 5*f - 8260*f**4 - f**5 - 2 wrt f.\nAnswer: -20*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000137886881 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 4 = -31*i. Suppose -4*q = 3*r + 57, 2*q + i*r - 49 = 5*q. What is the tens digit of (-483)\/(-6) + q\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1589 - -1592. Solve -r = 5*u + 20 + 4, h*u + 4*r = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 20 = 101. Suppose 4*x = 7*x - 99. Let p = x - t. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l - 133*l + 5 = i, 4*i - 16 = -4*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 82*r**2 + 260*r + 440. What is q(-85)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15045.2212 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/347 and 54\/7?\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212175 by 15.\nAnswer: 14145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175783906 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2014300 + 2014266 = 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l - 2. Let d be s(-10). Let t be 1\/2 + 5\/(-2). Are d and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7187357 and -7187358 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.737 + -27.6. Let j = -0.137 + l. What is the second biggest value in j, -0.6, -3, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152 and 24660?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, -414, -4, -10 in decreasing order.\nAnswer: 19, -2, -4, -10, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 6834*h - 61344.\nAnswer: -2*(h - 3408)*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 22. Let r be (18\/(-4))\/((-6)\/12). Give q(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2496, 10266, 23250, 41448, 64860, 93486?\n\"Answer: 2607*v**2 - 51*v - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumybybbhhmm. Give prob of picking 1 y and 2 h.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.1 + -323.1. Let p = h + 295.97. Is p less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*x**2 - 262 - 468*x**2 + 132 + 132.\nAnswer: 71*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5922, 0, 3, -4 in descending order.\nAnswer: 5922, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304 equal to 8303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 278316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -105 + -5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 0. Let b = t - -32. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 18. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -23. What is the common denominator of ((-3)\/(-20))\/((-3)\/n) and 113\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((0 - 1)\/(5 - 4)). Solve -4*d = -6*d + g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16934588.\nAnswer: 2, 11, 241, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -2, 4\/3, 0, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 less than -71925487.71?\nAnswer: -71923974.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474389?\nAnswer: 474389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 29079016\nAnswer: -5815803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 3.86, 0.5 in ascending order.\nAnswer: -0.06, 0.5, 3.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/7 - 58*z\/7 + 156\/7 = 0.\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005200557 to 7 decimal places.\nAnswer: -0.0005201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 282 = 4*o, 0 = w - 4*o + 16 - 102. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.1 (c) 0.0278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 4*v - 6*v)*(-245 - 208 - 375 + 91)*(v + v - 4*v).\nAnswer: 1474*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3*g**2*z + c**3*g + 471*c**2*g - 561*c*g**2*z - c*g**2 wrt z?\nAnswer: 2*c**3*g**2 - 561*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-2 - 1 + o + 0).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**2\/4 + 125*d + 6555 = 0.\nAnswer: -38, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (87 - 49) + (-67 - 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 - 620*g**2 + 59387*g wrt g?\nAnswer: 6*g - 1240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92519 divided by 7?\nAnswer: 13217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h + 2. Let v be r(2). Let j = v - -12. Let a(n) = -n + 11. Let m be a(7). Solve -m*u - j*p = -3*u - 11, 3*u = 3*p - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -245.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/4, 2\/11, 1 in decreasing order.\nAnswer: 1, 2\/11, 0, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 16*l**2 - 9*l + 16. Let u be c(14). Let w = u - 181. What are the prime factors of w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*x**3 + 444*x**2 - 444*x**2 + 1952 + 372 wrt x?\nAnswer: -453*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + (-65)\/(-10))\/((-2)\/(-4)). Let z = 11 + -27. Is h >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g*i*s**3 - 7*g*s**3 + 5*g*s**2 - 391*i*s**3 + 2*i*s**2 - 3*i - 33*s**3 + s**2 - 8 wrt s?\nAnswer: 36*g*i - 42*g - 2346*i - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616101 (base 8) to base 15.\nAnswer: -405e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 62*c**2 - 5571*c - 804. Determine k(90).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -4, 4, 9, -1, 2 in increasing order.\nAnswer: -155, -4, -1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45792037 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -61. Let z = -12 + a. Suppose -3*p + f + f - 2 = 0, 5*f = p + z. What is the smallest common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (45\/(-12))\/((-3)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.905569 days?\nAnswer: 78241161.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105911 less than -139235119?\nAnswer: -138129208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g - 2. Let s(j) = -35*j + 11. Suppose 5*f = 7*f - 22. Calculate f*h(y) + 2*s(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8823*o**4 - 192*o**2 + 31604*o - 242?\nAnswer: 105876*o**2 - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4 - 1. Let y be x\/(-5)*(-15)\/(-6). Let j = -5 + 8. Which is the nearest to -0.1? (a) j (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/35 + -8\/7. Let q = -2\/67 - -73\/201. Put q, 2\/3, m in ascending order.\nAnswer: m, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12564 - -21642. List the prime factors of p.\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*w + 18*w**2 - 701*w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:13 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 774.9 + -774.9000076418. What is r rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2\/11, 23, -8, -2\/57 in descending order.\nAnswer: 23, 2\/11, -2\/57, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 14*n - 2*n - 390 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {o: 2, r: 1, s: 4, p: 1, h: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140920710 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*y + 6 - 28 + 22.\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7966980 = d - l, 4*d = 4*l + 31868020. What is d rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000782 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 11*s + (-4 + s + 4)*(0 + 0 - 1))*(4 - 3 - 4*s + 3*s).\nAnswer: -10*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + s**3 + 143 - 45 + 0*s**4 - 48 + 12*s**4 - s**2 to v*s + g*s**3 + j*s**2 + z + r*s**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4*o = -2*o + 18. Sort 2, -6, 4, o, 1 in descending order.\nAnswer: 4, 2, 1, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6 - 7040\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101 - -1000110110011001010101?\nAnswer: 1000110110010110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.8051 - 0.8051. Let v = 13\/4 - 11\/4. Which is the second smallest value? (a) 0.3 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 1, 622.82, -4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10918, -10918, -10920, -10924, -10930, -10938?\n\"Answer: -l**2 + 3*l - 10920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542195.\nAnswer: 5, 108439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19\/384 (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + 1 + sqrt(76)*-1 + sqrt(76)) - 2*(sqrt(76) - (sqrt(76) + -2 + sqrt(76))))**2*-2.\nAnswer: -658 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 314*p + 1520.\nAnswer: 2*(p + 5)*(p + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 10. Let a(p) = -p - 9. Let v(z) = -3*a(z) + 2*s(z). Let w be v(11). Is w\/(-5) + (-16510)\/(-50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9464 and 676169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 4. Let z be r(6). Let b(i) = 4*i - 76. Let p be b(23). Factor 18*h**z + 163 - p*h**3 - 16*h**4 - 8*h - 163 + 10*h**2.\nAnswer: -4*h*(h + 2)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4\/7 (c) -0.2 (d) 37\/20 (e) -12 (f) 0.07 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwq when three letters picked without replacement from {q: 7, n: 1, i: 7, w: 1}?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/314929 and 11\/81272.\nAnswer: 2519432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 16728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3729351 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(6912))**2.\nAnswer: 110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453133 (base 6) in base 2?\nAnswer: -1000010010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -17. Which is greater: 1\/31 or f?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 13 = -3*n, -36 + 24 = -4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/3999*279\/270.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 8*r = 4*r - 132 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -24. Suppose k*u = 5*u - 98. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414 + -229. What are the prime factors of a?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 0 - 11 + 26849*s - 6.\nAnswer: 26849*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 3497299316?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 + 111. Let m be b - 4\/(8\/(-3718)). What is the remainder when m\/28 - (-3)\/(-12) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -195, -181, -159, -129, -91?\n\"Answer: 4*y**2 + 2*y - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 9539 + 12*i**2 - 7*i**2.\nAnswer: 6*i**2 + 9539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 divided by -4?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 3*h**2 + h**2)*(3*h - 3 - 24*h - 33*h).\nAnswer: -108*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 2 g when four letters picked without replacement from {j: 3, g: 3, b: 2, q: 6, s: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 8. Let f be t(6). Let c(y) = -y**2 - 3*y + 7. Let s(u) be the first derivative of -6*u + 1\/3*u**3 - 6 + u**2. Determine f*c(w) + 5*s(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -17*t - 1. Let m be u(4). Suppose 11*h - 266 = -1036. Let k = m - h. Is 1\/46 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.534 (b) -1 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/(2\/(-38)). Let h be ((-4)\/10)\/(4\/(-20)). Is 10 a factor of m\/1 + -1 + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1470597550.504 and 3?\nAnswer: 1470597547.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 1 + 1 + (-1 - 1 - 1)*(0*k - k + 4*k) - 4*k - 4*k - 21*k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 548*b**3*v + 22*b**3 - 1029*b + 122*v + 3 with respect to v.\nAnswer: 548*b**3 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1160580.3180885 - -1160580. Let h = o - -0.318. What is h rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)\/y*y)\/y*(y**(-7)*y)\/y*((y*(y*y**(1\/3))\/y)\/y)\/y*y**(-13)*y assuming y is positive.\nAnswer: y**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 16*x + 20. Suppose 0 = 3*r - 4*h - 55 + 19, -5*h - 24 = -2*r. Is 17 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -812 minus -1.435866?\nAnswer: -810.564134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -66 (b) -2\/5 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 383*z**2 + 429*z**2 - 5 + 2*z. Let b(f) = -438*f**2 + 48. Let a(k) = 5*b(k) + 48*d(k). Let r(u) = 2*u. What is a(r(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {k: 2, p: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 greater than 25991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 2. Let a(t) = 4*t + 1. Calculate 8*a(f) + 3*r(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*n**4 + 2 + 4*n**4 + 0*n**4 - 5*n**4 + n**4 - 3 + 3 + (0 + 4 - 2)*(n**4 - n**4 + n**4).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 4*i**2 - 5*i. Suppose 6*f - 13 = -37. List the prime factors of u(f).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065765380?\nAnswer: 2, 5, 203288269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 4*b + 3. Let l be i(2). Solve l*x + 2 = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/7 + 65141*p**3\/7 + 781836*p**2\/7.\nAnswer: -p**2*(p - 65153)*(p + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 2*c - 1. Calculate k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5364 - -9088. Is v a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 296, 729, 1350, 2159?\nAnswer: 3156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52010 + 168?\nAnswer: -51842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.16755 kilograms to nanograms.\nAnswer: 2167550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3155838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55\/46, -1.83244, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 3. Let j = -21069 + 21073. Let m(p) = 1. Determine j*m(n) - d(n).\nAnswer: 5*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28910 is divided by 651.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 - 8*y + 4. Let u be g(8). Suppose u*x - 21016 = -109016. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12579417 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**2 - s**3 - 8*s - 7*s - 11 + 3*s + 3*s. Let t be y(-7). Solve t*j = -7*b + 2*b + 17, -2 = 2*b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3006.754 - -3005. What is t rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*d + 127*d + 272*d)*(64*d**2 + 27*d**2 - 8 + 8) to the form j*d**3 + p*d**2 + r*d + c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:18 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 = 69*v - 94*v + 41*v + 125*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3244, -25804, -87028, -206248, -402796, -696004?\n\"Answer: -3222*b**3 - 6*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 107*l + 1296 - 1168 + 1636 = 0 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 37*x = 33*x + 37, -4*h = 4*x + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/5 (c) -3 (d) -3239.559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/4 + 7*a**2\/2 - 3*a + 16. List the prime factors of o(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1004\/(-2761)*(3\/(27\/3))\/(4\/12).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38449321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/60 - 13*w**4\/24 - 23*w**3\/6 - 2873*w**2. Give p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -67 + (-17 - -44) - -61\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (2 + -6 - -7). Put 2, 3, c in increasing order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118384679 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/30 + b**2. Let q(m) be the first derivative of m**2\/2 + 67. Give q(k(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*x + 81*x + 97*x - 4015 = 0 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-4 - -6) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = -15*d + 40. Solve -s + 44 - d = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*164\/6. Suppose -4*p = 11 - 3, 5*l + 2*p = h. Let z(v) = -v**3 + 8*v**2 + 12*v - 9. What is the units digit of z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*n - 35 = 0, 0 = -p - 4695*n + 4692*n + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 230 = 8*t. Let c = t - -192. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 81*p - 678 = -126, -p - 11 + 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t. Suppose 0*p = 2*p - 4*c - 128, -2*p - c + 123 = t. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2*w - 33. Let c be u(-6). Let f(m) = 2*m**3 + 19*m**2 + 10*m + 13. Let x be f(c). Suppose 2*g - x*g + 1500 = 0. Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/60 + j**4\/4 - 7*j**3\/6 + 2*j**2. Let c be r(-7). Suppose c = -3*v + 10 + 8. Solve n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v + 3. Suppose -20 = -4*x, -5*u + 3*u - 6 = -2*x. Suppose -u*z - 12 = -4*b, 0*z + 4*b = z + 14. Give p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, 2\/3, 3\/2, 125?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44699 or 44651?\nAnswer: 44651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 + 28*q**4 - 6596*q**3\/7 + 79112*q**2\/7 - 9610*q\/7 - 2979100\/7 = 0. What is q?\nAnswer: -5, 10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3\/2 - 1155*x**2 - 21099*x\/2 + 25707 = 0.\nAnswer: -11, 2, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 355 - 354.961944. Let x = -289.571944 - c. Let j = 291 + x. Round j to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c (base 13) in base 8?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.1, -0.258, -3, 118?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462280?\nAnswer: 2, 5, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*c**3 + 0 - 126 - 166*c**3 + 87*c**3 to the form v*c**2 + q + k*c + b*c**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spf. What is prob of sequence sp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3178342728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 330797913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/49 + 68\/735. Let l = -359 + 1794\/5. Suppose -2*k = -7*k + 10. What is the nearest to k in s, l, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from bnbkbknkknnbkk?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 386 + -115a8?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 314 = 54. Suppose 5*s = 65 - f. Calculate the least common multiple of s and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -627, -640, -667, -714, -787, -892?\n\"Answer: -h**3 - h**2 - 3*h - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 4*y - 11. Let k(s) = s**2 - 3*s + 10. Let t(c) = -2*d(c) - 3*k(c). Suppose 3*l - 15 = -2*u, 6*u - 10 = 3*u - 2*l. Calculate t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 7*s + 6. Suppose 80 = -18*f + 34*f. Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 1 + ((sqrt(95) - (sqrt(95) + -5*2*sqrt(95))) + sqrt(95))\/(sqrt(405) - -1*sqrt(405)))**2.\nAnswer: 22*sqrt(19) + 13963\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 - 4*o - 6. Calculate the least common multiple of a(-5) and (((-392)\/16)\/(-7) - 3) + 1746\/12.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19729*-5\nAnswer: -98645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7465 and 743514?\nAnswer: 3717570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o + 11012 - 4470 = -12508. Which is bigger: o or -758\/3?\nAnswer: -758\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14733272 - 10452947. Suppose -x = -11*i - 25070325. Round i to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/25 + 224*a\/25 - 138\/5 = 0. What is a?\nAnswer: -115, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**4\/24 + v**2. Let s(p) = 3559*p - 7046*p + 3534*p. Determine s(f(m)).\nAnswer: -47*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 193, 391, 593, 799, 1009?\n\"Answer: 2*b**2 + 192*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171477234.\nAnswer: 2, 3, 9526513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708206.\nAnswer: 2, 797, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5857*v = -8746*v + 23112 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 40*w + 16 = 0. Suppose 3*s - 20 = s - 3*a, 0 = -w*s - 4*a + 20. Solve s = 5*h - 10*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.7 (b) 1 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 3}. Give prob of picking 2 d and 2 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 4)*(-1 + 6 - 3)*(8*t + 11*t + 3 - 4).\nAnswer: -342*t + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-3)\/2)\/(-3)*3358\/73 and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 - 2*v**3 + v**3)*(-4 + 2 + 1)*(-1 + 0 + 2)*(31 - 9 + 10) to the form j*v**3 + a + g*v**2 + t*v and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -24 - 2\/3*v**2 + 8*v = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 2*b + 37. Let d(v) = -2*v**2 - 2*v. Let m(z) = -2*d(z) - f(z). What is m(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o)*(1 + 0 + 1) + (1 - 7 - 1)*(-o + 2*o - 2*o) + (-3*o + 2*o + 2*o)*(2 + 0 + 0).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -2 (c) -3938\/5 (d) 39.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316967161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8d674 (base 14) to base 8.\nAnswer: -27703166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2195.\nAnswer: 7\/2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 15, p: 2}. Give prob of picking 1 b and 2 p.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 90*s**5 - 362*s**4 - 82*s**3 + 362*s**2 - 8*s = 0.\nAnswer: -1, 0, 1\/45, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/14*(20713\/(-22) - 7). Suppose -m - 1081 + d = 0. Solve -x + 3 = 2*v, 2*x + 8 = 3*x - m*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -92*c**3 + 88*c**2 + 4*c - 2. Give a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 163909*p**2 + 1. Let x(t) = -t. Give x(l(c)).\nAnswer: -163909*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d - 2. Suppose 5*c - 6*c - u - 5 = 0, 0 = c - 5*u + 11. Let m(f) = -6*f + 2. Let j(a) = c*b(a) - 5*m(a). Differentiate j(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntnt when four letters picked without replacement from {n: 7, t: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 9*p**4 + (2 - 3 - 9 + (2 + 2 - 2)*(1 - 3 + 0) + 0 + 0 - 2 + 3 + 3 - 2)*(-2*p**4 + 5*p**4 - 2*p**4).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13314451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161739 - 165795 = -78*k for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 60. Let j be (-3)\/6*4 + k. Let p = 25 - j. Let r(x) = x**2 - 6*x + 3. Calculate r(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uylllryrruylnnurln. What is prob of picking 1 n, 2 y, and 1 u?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*p + 53*p - 105*p + 120 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 10. Let r(s) be the first derivative of -4*s - 1 - 1\/2*s**2. Give r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 27155.\nAnswer: 1\/27155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 + 14 - -56) + -17 - (1 - 17).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let j = 46475 - 46474. What is the closest to j in -3, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.874 smaller than 687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-5) + ((-13168652)\/(-140))\/7 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + z - 3*z + (-3 + 1 + 0)*(-2*z - 2*z + 6*z) + 0 + 25*z + 0.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 minus 714789.83?\nAnswer: -714076.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22826783033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(16 - 850\/51).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 499233*s**2 - 379335*s?\nAnswer: 998466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6)*n*n)\/(n**0\/n)*(n**7*n)\/(n*n\/(n**2*n)*n*n))**4 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 3*g - 6*g)*(3 + 5 - 4) + 1 - 1 - 2*g + (-12*g - 6*g + 4*g)*(1 - 2 - 3) in the form l*g + o and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8211*r - 8210*r + 7*p = -24, 0 = 2*r - 4*p - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 4, -1\/4 in increasing order.\nAnswer: -489, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 24*l - 136 = 25*l, -r + 450*l - 454*l - 31 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**2 - 3\/4*h**4 + 5\/3*h**3 + 0*h - 7. Let f(q) = 0. Calculate q.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclhxly. Give prob of picking 1 c and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 103863?\nAnswer: 623178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 22*l - 6. Suppose -3*j - 20 = l*z, 6*z - 2*z + 36 = -5*j. Put 5, z, -2, 1 in decreasing order.\nAnswer: 5, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*a = -0*l + 330, 5*l - 783 = 3*a. Suppose -4*b + 2*s = 3*s + 319, 2*b = -s - l. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(1 + 3)\/4. Suppose 0 = 4*w - 2*p - 40, h*w + 2*p + p = 72. What is the highest common divisor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/260*(-4173)\/(-12198).\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1) + (154 - 145) + 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 4*u - 10, -4*u = -2*n. Let g be (-8)\/6*(-7)\/((-28)\/(-6)). Solve -5*v - 2 = g*d, -d + v = d - n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14322 is divided by 596.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2774\/5 - 555. Let u = -2 - 2. Which is the biggest value? (a) p (b) u (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 50\/(-14) - 93\/(-21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyzkijyikyyyjkwji. What is prob of sequence kiwi?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlmlkkkbmbbmbmkmkbb. Give prob of sequence ll.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -363, -1194, -2805, -5454, -9399?\n\"Answer: -43*x**3 - 3*x**2 + x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/6 + 41*n - 52. Let b(h) be the first derivative of x(h). Let q(p) = -2*p + 0*p + 4*p. Determine b(q(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 197 = -6*j + r, 2*j + 5*r = 154. Let z = 84 - j. Solve -5*f + 0*v + z = v, 0 = 5*f - 5*v - 35 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, z: 9}. Give prob of picking 1 g and 2 z.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose b = -4*c + 8, 2*c = k*c - 5*b - 4. Solve c*p - 3*p = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10 - 3\/9. Let a = h + 2\/3. What is the closest to -61 in a, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.5 + 18. Let p = a + -14. Let y = -0.1 - 0. Sort p, 1, y in descending order.\nAnswer: 1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225 + 892 + 38*g - 264 - 209 - 269 to the form p*g + x and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578957.6 months in millennia?\nAnswer: 131.5798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5496 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (10860\/(-35))\/(-6 - 1531779\/(-255297)). Round h to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 3*k**2 + k + 8. Let h be r(4). Let p = 0.3 - 0.2. Which is the nearest to p? (a) h (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3\/(-6)*0. Let v(r) = 5*r + 4 + u*r - r - 5*r. Suppose 0 = b + 4. What is v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/13))**(-5) assuming i is positive.\nAnswer: i**(-55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -7, 12, 45, 92, 153, 228?\n\"Answer: 7*i**2 - 16*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65) + -3*(sqrt(65) - -2*sqrt(65)) + sqrt(65) - (2*sqrt(65)*-6 + sqrt(65) - sqrt(65))))\/(sqrt(25)\/(5*sqrt(5)) - -3*-5*sqrt(5)).\nAnswer: -50*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 152 = 358. Let o be (-51)\/k - 12\/(-5). Let q = -0.2 - 0.3. What is the nearest to 2\/7 in q, o, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 4. Let d be i(-1). What is the highest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -241.4, -1\/19, -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -479, -849, -1565, -2741?\nAnswer: -4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 16058 = -2862. Let h = m + 37951\/10. Let x = 8667\/170 + -984\/17. Find the common denominator of x and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + 3. Let f be 9*-1*((-120)\/18 - -6). Let d(x) = 17*x - 7. Give f*d(w) + 13*n(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nwwwwnwnwwwnwnnwww.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 7*y - 4. Let c = 16 + -11. Determine x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((368\/23)\/32)\/(((-9)\/44)\/9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 16*f - 28. Let n be b(-11). Let t be 0\/((n - 25)\/(0 - -2)). Solve -28 = -l - 5*m, l + m + 0 - 8 = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7284 + 103137.6.\nAnswer: 103139.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:11 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197 and 13199?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*n = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 2*t)*(-68*t**2 + 31*t**2 + 14*t**2).\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 136*i - 2545. Determine d(17).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*i**3 - 14*i.\nAnswer: 444*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**3 + 9*g**2 - 19*g. Let n(o) = 10*o**3 - 11*o**2 + 20*o. Calculate -3*n(r) - 4*y(r).\nAnswer: 2*r**3 - 3*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 279, 1, 0 in descending order.\nAnswer: 279, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.199, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22922111 times -1\nAnswer: -22922111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 9}. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/3379, 0, 0.28 in decreasing order.\nAnswer: 0.28, 0, -3\/3379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-6) - (-1)\/3. What is the greatest common divisor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-17)*5*(-3)\/20. Which is bigger: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*f**3 - 103*f - 54*f**3 + 28*f.\nAnswer: 30*f**3 - 75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11465 = 16*j - 135. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1875 is divided by 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*319\/(-2552)*(-1 + 0)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - (sqrt(637)*2 + sqrt(637)) - sqrt(637))*5 + 2)*5 + -1)**2.\nAnswer: -9450*sqrt(13) + 3583206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 4*g, -5*g - 25 = 0. Suppose 2*z + 9 = -4*x + x, -z = o*x + 12. Let k be 0\/(x\/(9\/6)). Put k, -3, 0.5 in decreasing order.\nAnswer: 0.5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 104166521.\nAnswer: -3\/104166521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/120 + c**5\/12 + c**4\/6 + c**3\/2 + c**2\/2 + 4*c. Let t(y) be the first derivative of l(y). Calculate t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29 + (-2 + -2)*(-3 + 2). Suppose -3222 = -l*f + 27*f. List the prime factors of f.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*(0 + 2) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 923, 1402, 1905, 2438, 3007, 3618?\nAnswer: 4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, -5808, 2, -11, 3, -2 in descending order.\nAnswer: 7, 3, 2, -2, -7, -11, -5808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*a - a - 1, 3*n - a + 1 = 0. Let f be (-6)\/(-18)*(n + 1). Is f greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l**3 + 4*l**2 - 5*l + 14. Let g(d) = -26*d**3 + 5*d**2 - 4*d + 11. Give 5*c(n) - 4*g(n).\nAnswer: -n**3 - 9*n + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -61, -144, -261, -412, -597?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a + 3*q = -100*a - q + 7, 5*q + 3 - 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -48 + -8 + 33 + -24 + -13?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.13736 millilitres in litres?\nAnswer: 0.04813736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: d61ac1 (base 14) to base 11\nAnswer: 40968a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 638798731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554836.\nAnswer: 2, 59, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = 2*d + 7, -2*b + 12 = 2*d. Suppose d*z - 10*z = -112. Calculate the highest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 + 14980220*u**3 - 129802*u**2 - 49*u wrt u?\nAnswer: 24*u + 89881320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let p be 1*(-5)\/(-20)*(12 - 0). Suppose 0 = -u*s + 5 + 5, s = p*x - 331. Calculate the highest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062 and 0.27.\nAnswer: 0.01674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 87 = 17. Suppose -v = 3*m - 31. Calculate the highest common divisor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8399228?\nAnswer: 2, 53, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*f - 2*s, -f + 5*s - 2*s = -18. Let n = 10 - 14. Let x = f + n. Solve 0*w - 2*g - 10 = 2*w, -x = 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - j = -4*l - 83, 0 = 4*l - j - 77. Suppose x - 5*d = -19, 3*x - 17 - 2 = -4*d. Suppose h = 3 + x. Solve -l = -h*n, -3*p - 3*n + 11 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w + 13*w - 88. Suppose -w*h + 2 = 6, -5*h = -4*f + 1677. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + 425*w**4\/3 - 72250*w**3\/3 + 6141250*w**2\/3 - 261003125*w\/3 + 4437053125\/3.\nAnswer: -(w - 85)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*c**3 + 1431*c**3 + 784*c**3.\nAnswer: 3176*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0 (c) -2 (d) 18973 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ewvnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 - 13*p + 9. Let j be u(5). Let v = j - -143\/2. Which is smaller: 40 or v?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 445408 + 4*b - 267102.\nAnswer: 2*b - 712510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 138560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005343 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Let s(v) = v - 3*v - t*v. Let r(c) = -2*c**2 + 5*c. Let w(i) = i. Let p(q) = 2*r(q) - 10*w(q). What is s(p(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 8 (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1477 and 2947.\nAnswer: 621817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 306 = -3*u. Let n = u - 151. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-550)\/(-175)*-7*(-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9480270 divided by -632018.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -3, 5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p**2 + 6*p + 3. Let i be d(-4). What is the common denominator of (3\/(-72))\/(3\/i) and 87\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j\/(j*j\/(j**3*j))*j)\/(j**0)**(-21)*(j**11*j**5\/j)**(2\/21) assuming j is positive.\nAnswer: j**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*b + 4, -89*q + 5 = -86*q - b. Solve 5*d - 18 - 10 = 4*w, 0 = -d - q*w - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+-4594651\nAnswer: -4594642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*s**5 + 3*s**4 - 270922*s**3 - 9*s**2 - 1161906*s + 3.\nAnswer: -840*s**2 + 72*s - 1625532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let q(p) = 10*p**2 - 65*p. Let g(h) = -h**2 + 6*h. Let n(j) = -65*g(j) - 6*q(j). Give n(z(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*s - 6 = 14, s - 25 = -5*j. Let f(k) = -14*k - 9. Let n(i) = 5*i + 3. Let y(o) = j*f(o) + 17*n(o). Suppose 276 = 55*z - 54. What is y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -18. Differentiate -9*o**2 - n - 4 + 20*o**2 - 6 with respect to o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -4.48. Let i = l - 0.167. Let m = i + -0.253. Sort 0.4, 2\/11, m in descending order.\nAnswer: 0.4, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 20 - 20)*(-1 - 2*j + 1)*(-19*j - 8*j + 6*j).\nAnswer: -126*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18043209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11269*w**5 + 3*w**3 - w**2 - 1275*w - 121.\nAnswer: -676140*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(5928\/(-52)))\/((-48)\/(-54)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 9:38 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 816537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296 by 115.\nAnswer: 296\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/12 + 13\/(-52).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**4\/2 + 2271*u**3\/2 + 35397*u**2 + 20370*u - 13884 = 0. Calculate u.\nAnswer: -26, -1, 2\/5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836 (base 12) to base 5.\nAnswer: 14234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 5:46 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -1077, -1566, -2031, -2472, -2889?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 g, and 1 x when four letters picked without replacement from xxgxgmgxjjxx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**0*a))\/(a**2\/a))\/((a*a\/a**(3\/4))\/a*a**3))**(-16\/7) assuming a is positive.\nAnswer: a**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = o - 4, 2*r - 5*o = 1. Sort -2, r, -5 in descending order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:30 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*b + 91*b - 877*b + (0 + 1 + 0)*(3 - 3 + 2*b) - 1 + 1 - 5*b in the form y + n*b and give n.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2 - 2*g + 1. Let o(x) = x**2 + x. Calculate -4*o(q) - t(q).\nAnswer: 7*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -438482, -877161, -1315834, -1754501, -2193162, -2631817?\n\"Answer: 3*p**2 - 438688*p + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-15)\/10)\/((-445)\/(-8010))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18932, -78167, -176894, -315113, -492824?\nAnswer: -710027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 - 1126*r**2 + 136)*(-4 + 0 + 5).\nAnswer: -1126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68519094 + -2.3.\nAnswer: 68519091.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(-14)\/n))*n**(-1\/14)*n*(n**(-3\/4)*n)\/n*n**(-12\/7) assuming n is positive.\nAnswer: n**(-463\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evve when four letters picked without replacement from vzrzmmeerrvmmvmmvmm.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 6*t. Let z = 2262679\/313 - 7229. Is t greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-23 + 26 - (0 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -39, -74, -113, -150?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-475)*30\/4*7\/(-231)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -173, -170, -167?\n\"Answer: 3*r - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 57. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 264, 664, 1242?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -3. Let t(m) = -m. Let r be t(5). Let p = r + a. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 14.\nAnswer: -4, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -34, -67, -112, -169, -238, -319?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69852132 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1686, 3372, 5058, 6744?\nAnswer: 8430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Let l be -1 + (2 - -1)\/27*n. Let g = -5 + 7. Which is the second smallest value? (a) l (b) g (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 5*y + 95, -2*y + 94 = -5*c. What is the tens digit of (-2)\/(-8) + (-915)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 46 = -5*h - 1, -4*h = -4*f. Find the third derivative of t**2 - 3*t**6 + 8*t**5 - 8*t**h wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtwwwwwmmwmmmttwwwt. Give prob of sequence ww.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 29\/62?\nAnswer: 29\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000214605 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*r = -6710, -5*o + 5847 = 5*r - 5343. Does 119 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -34. Factor 52 - 50 - u*b**2 + 0*b**2.\nAnswer: -2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657*0.468.\nAnswer: -307.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 6, 0, -4, 5, -51 in descending order.\nAnswer: 6, 5, 3, 0, -4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, 2622, 114 in descending order.\nAnswer: 2622, 114, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1866c (base 15) to base 9\nAnswer: 130423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/5, 3, -3\/4, -0.21.\nAnswer: -3\/4, -1\/4, -0.21, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/14 + (-1)\/2*1. Let q(f) = -f**2 - 4*f - 4. Let g be q(-4). What is the units digit of 69*(-1 - g\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 47*y - 2. Let x(c) = c + 1. Let i(k) = -j(k) - 2*x(k). Factor i(a).\nAnswer: 3*a*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 84 = -4*t, 23 = t + 3*s - s. Let z(h) = 16*h + 160. Let u be z(-10). Suppose i - t = -u*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 315. Suppose -107*n + g*n + 680 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + 3. Let u(s) = -23*s**2 + 17. Let y(w) = 34*g(w) - 6*u(w). Let c(d) be the second derivative of d**3\/3 + 3*d. Determine y(c(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-12)\/(-24))*(-40)\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/39803710 and -85\/56.\nAnswer: 1114503880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/20 - 9*f**5\/20 - f**4\/2 + f**2 - 7*f. Factor r(a).\nAnswer: -3*a*(a + 4)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394026 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1560)\/(-80)*((-16)\/3 + 0 + 4). Sort 12, 0, u in descending order.\nAnswer: 12, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117386641 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 767\/30 - (-8)\/(-20) and -7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*t + 26074, -2612 = -v + 4*t + 3917. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7734 - 7734. Which is the closest to u? (a) 2\/7 (b) -0.16 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/7 - 195*u**3\/7 - 1266*u**2\/7 - 2820*u\/7 - 2088\/7 = 0 for u.\nAnswer: -58, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -22. Suppose 0 = -8*b - 16 - 24. Let t = b - l. 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 thousands digit of 120028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(39)*-2)\/((sqrt(30)*3)\/sqrt(10)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11160680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 8*z**2 + 2*z - 6. Let y be o(8). Let t = -10 + y. Solve 0*j - q - 4 = -2*j, t = -2*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 511916517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(33534\/864)*-9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 42*q - 45*q + 35, -25 = -q + 5*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -27*s**2 - 2987*s + 1108. What is i(-111)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14683 is divided by 109?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15979453 in -1\/3, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 9*u = 14*u + 8, -5*u = 4*a + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -241. Let h = -446 + g. Let o = h + 459. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as 0.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 5*l - 1. Let g be n(4). Let d = -9 - -17. Let u(j) = j**3 - 9*j**2 + 8*j. Let y be u(d). Sort y, -4, g, 2 in ascending order.\nAnswer: g, -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*c**2 + 207*c**2 + 2*c + 10*c + 11*c - 23*c.\nAnswer: -887*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 21*w + 90 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/9 - -13\/18. What is the closest to 20 in -1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-756.\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35536\/144 + (-4)\/(-18).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 613088 and 1428.\nAnswer: 1839264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 169785336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:42 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*q + 3 + 13 - 401*q + 976*q - 16.\nAnswer: 180*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 251, 1, 5, 3 in descending order.\nAnswer: 251, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:31 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 14. Suppose -5*r + 12 = -3. Let t be p(r). Solve 2 + t = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95*0.192\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 18 - 5\/4*x**4 + 0*x + 9*x**2 + 0*x**3. Find the second derivative of h(p) wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03885 rounded to three decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0 + 0)*(-1049*a**3 + 467*a**3 - 719*a**3) + (-3*a**3 - 3*a**3 + 4*a**3)*(a + a - 3*a).\nAnswer: -1299*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 6*d + 6*d. Let r(x) = -22*x - 5 + 3 + 2. Give i(r(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988559 is divided by 797710.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1\/5, -2.4, -9, 29\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) + -2 + 4\/(-4). Suppose 16*n + 2073 = 5*c + 19*n, -c + 3*n + 411 = g. What is the highest common divisor of c and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*(4 + (1*sqrt(252) - sqrt(252))))*3*5)**2.\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(228\/19))\/((-32)\/752)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24624441 is divided by 459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1806010233 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663876?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/5 (c) -3 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1006, 3410, 5814, 8218, 10622?\n\"Answer: 2404*k - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**2 - 3*o**2 + (141 + 3*o - 141)*(-3*o - 3*o + 5*o) + 4*o**2 - 4*o**2 + o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584)*-2 + -4) - (-5 + sqrt(1584) + sqrt(1584) + -2))**2 - (-5 + sqrt(22)\/(sqrt(400)\/sqrt(8) + sqrt(50))).\nAnswer: 2639*sqrt(11)\/10 + 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -16.4?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3214105?\nAnswer: 5, 17, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21002110 (base 4) to base 2\nAnswer: -1001000010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*6\/12)\/(-4 + (-41575)\/(-10390)). Is u equal to 2078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Let m(u) = 28*u + 8. Let x be m(2). Let i = x + -58. What is the least common multiple of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*m - 1885, 3*g - 1895 = 4*m - 0*m. Let y = 653 - g. Solve 29 - y = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 63*p**2 - 863*p + 56. Give c(-20).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0552520155 rounded to 4 decimal places?\nAnswer: 0.0553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 4, -5, 16 in descending order.\nAnswer: 16, 14, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7921, 7927, 7943, 7975, 8029, 8111, 8227?\nAnswer: 8383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a. Suppose 32 = 5*o + 3*t, -26 = -3*o - a*t + 5*t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5946*z - 5 + 5859*z - 11800*z.\nAnswer: 5*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/(2\/5). Let m be 3 - (1 - (p + -3)). Let b be -1 - m - 408\/(-210). Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29636863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12695*x - 63509. Give n(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 + 852*b + 431 - b**2 - b**2 - 188 as m*b + h*b**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2648 - -2?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 7 - t - 6*t**2 to the form b*t**2 + i + s*t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((0 - 2) + 0 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. Let l(d) = 21*d - 31. Let j be l(5). Suppose -c*u - 9 = -j. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*l + 694*l + 2*q = 24, -51*q - 40*q = -3*l - 96*q + 68 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3261 = -2*f - 1555, 6020 = 5*z + 2*f. Is 53 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 times -0.19\nAnswer: 1.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*c - 301*c + 151*c + 326*c**2 + 163 - 1253*c**2 - 659*c**2 wrt c?\nAnswer: -3172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0868 + -4.9132. What is the closest to -0.4 in 3, 11, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 10441.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 78\/(-18))*15\/(-4). Solve 5*j = -k*b + 15, 3*b - j = b - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 214?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = -665*h - 310 - 698 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 20228*z**4 - 49848570*z**3 + 6603468800*z**2 - 6553600000*z = 0. Calculate z.\nAnswer: -5120, 0, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2919 - -6142. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + i + 4. Let q(h) = 9*h**2 + 2*h + 7. Let p(l) = -l + 9. Let m be (9\/(-5))\/((-21)\/70). Let b be p(m). Calculate b*q(u) - 5*c(u).\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 11, 1\/8, -5 in descending order.\nAnswer: 30, 11, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1 - 3 + 2 + 1. Let g(h) = -h. Let b(j) = -c(j) + g(j). Let r(u) = -2*u**2 - 5*u. Let q(y) = 2*b(y) - r(y). Calculate q(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66880860?\nAnswer: 2, 3, 5, 1114681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5895*n**3 - 8577*n - 91842281?\nAnswer: -17685*n**2 - 8577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.7 times 6878.2?\nAnswer: 1744999.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11289*m + 22639. Calculate n(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 4*q**2)*(22 - 22 + 58*q) - 11*q**3 + 7*q**3 + 17*q**3.\nAnswer: 187*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182959.\nAnswer: 7, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-16)*6*-1. Suppose -n = 5*v + 3 - 14, -2*n - 14 = -2*v. Which is the second biggest value? (a) r (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 11034*h**2\/5 + 3044832*h - 15213128\/5.\nAnswer: 2*(h - 2758)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 + 387. Solve p = -2*o - 2, i + 2*o = -2*o - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 51. Let q be (r - -6) + (0 - 3). Let z be (-2 - -2)\/(1*2). Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*0.3\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18903\/25 - 756. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(-4 - (-6 - -1)). Suppose 0*n = -n + h. Calculate the greatest common divisor of 203 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -277, -350, -423, -496, -569, -642?\n\"Answer: -73*r - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*c = -4, -z + 6*z + 3*c + 52 = 0. Let y(w) = -10 + 2*w**3 + 5*w - 2*w**3 - w**3 - 7*w**2. Is y(z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 8*v + 5. Calculate y(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2654065, -2654160, -2654255, -2654350, -2654445?\nAnswer: -2654540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*w - 80 = -3*j, -37 = -j + w. Let x = 16 - 12. What is the second derivative of -5*m**3 + 25*m + x*m + j*m**3 wrt m?\nAnswer: 180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1033\/9 - -115. Let p = -0.03 + 0.33. Which is the nearest to -1? (a) f (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 2*h. Let z(q) = q**2. Let p(s) = -3*s**3 + 3*s**2 + 2. Let g(l) = h*z(l) - p(l). Suppose 0 = -t - v + 1, 7 - 24 = 4*t - 3*v. Determine g(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -60, 0.009, 2\/5, 2.8, -0.5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373*g = -1372*g - 2*k + 4, 4*g = -k + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j**(-5))**1\/((j**(-2))**(-1\/46))**33 assuming j is positive.\nAnswer: j**(-102\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35\/2*q**4 - 40*q + 10 + 15\/2*q**2 + 40*q**3 = 0 for q.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millennium in decades?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11*s*s)\/s*s*s**(-19)*(s*s**(-3\/10)\/s*s)\/((((s**(-2\/35)*s)\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-297\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {m: 5, t: 8, a: 7}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 3*i**2 + 8*i + 8. Let o be m(-4). Let h = o + 246. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 3070*m - 6160 = 0 for m.\nAnswer: -616, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -59.3 * 2.215\nAnswer: -131.3495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 689152.3 weeks in hours?\nAnswer: 115777586.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = 2. Let t be (-6)\/l*2\/4. Sort 4, t, 4\/7.\nAnswer: t, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfvpnpvp. What is prob of sequence ppn?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 135. Let l(m) = 5*m. Give l(z(b)).\nAnswer: 5*b + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 6*m**3 + 380 - 380.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-4)*(-384)\/144. Let a(h) = -43*h - 249. Give a(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225350?\nAnswer: 2, 5, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Suppose -4*g = 3 + 9. Let p be a(g). Is (4 - -264) + -5 + p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*p + 15. Let q = -3 - p. Solve -t = 2*w + 1, 6 + 0 = -q*w - 3*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**2 - g + 1. Suppose n - j - 6 = -2*j, 0 = -3*n + 3*j + 18. Let t(w) = w**3 - 24*w + n + 11*w + 4*w**2 + 9*w. Let i be t(-5). Calculate v(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 9. List the prime factors of -18*p\/(-18)*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/10 + 2*c**2. Let v(q) = -19*q - 68. Let i(n) = -495*n - 1785. Let b(h) = -4*i(h) + 105*v(h). Give b(r(w)).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1121.288 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 8*k - 7. Let l be j(9). Solve 0 = -2*u - l*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11191607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-2))\/(1\/(-1)). Suppose 3*s = s - 2*j + 20, 0 = -s - 5*j + 30. Suppose 5 = 5*a - 15, -h*a = s*d - 82. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -6*g + 5*g. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2214804 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5669 > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 103*u - 1347. Determine v(17).\nAnswer: 3005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*24*18\/(-3600)*(-15)\/6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/667 and 31\/6.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*b - 26 = -13, b = -a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.31, 0, -1387, -3 in decreasing order.\nAnswer: 0, -1.31, -3, -1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -114, -238, -406, -618, -874?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 605142.4t?\nAnswer: 605142400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 59 = -2*y - 37, -3*m + 3*y = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.67 from 0.06.\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5146.762402 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 7. Let u(l) = 3*l. Let q be u(1). Suppose -3*g + q = -5*t, -4*t + 14 = 3*g - 16. Is 4 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 4 - (35367\/(-7) - 104\/182)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -11*v - 21. Let d be 0 - v - -3 - 34. Which is smaller: d or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-4)\/8*1848\/(-336).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**3)*(-3992 + 101067877*c - 3973 - 101067878*c)*(2 - 2 + 1)*(-5*c + 0*c + 3*c).\nAnswer: 2*c**5 + 15930*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 3*l**2 + 2*l - 2. Let j(d) = 5*d**3 + 15*d**2 + 11*d - 11. Give -4*j(p) + 22*w(p).\nAnswer: 2*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/3 + (-5)\/(-15). Suppose -u*x + 2 = -42. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (395\/(-10) - -6)\/((-4)\/112). Let l = -512 + u. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/8)\/(5\/((-120)\/6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -7 - -2*1. Let q be -2 + 2 + a + 6. Solve -8 - 8 = q*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233 + 502 - 1735 + 1095*b**3.\nAnswer: 1095*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {f: 4, q: 8, c: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20568229621 = -81*p - 29951306210 - 22877603411. What is p rounded to the nearest 1000000?\nAnswer: -398000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2434068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, 2608, 10, 4 in increasing order.\nAnswer: -5, -1, 4, 5, 10, 2608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*y**3 + 13*y**2 + 4*y + 5045 wrt y.\nAnswer: 9*y**2 + 26*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/128 - 54\/(-80) - (8 + (-590)\/75)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1944*b + 1914*b - 949*b + 1049*b.\nAnswer: 3958*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -18*v + 4. Let a(c) = c. Determine 12*a(d) + m(d).\nAnswer: -6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492752.9m in nanometers?\nAnswer: 492752900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321325 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 308, 62, -3, -0.7?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2\/5*c**4 + 0 + 4*c + 3\/10*c**3 + 4\/25*c**5 + 1\/10*c**2. Let o(v) = 0. What is v?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/30*(-110)\/(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - 36*k**2 + 15*k**2 + 12*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 + 2*r**3 + 3*r**3)*(10 + 7 + 7)*(-3 + 5 - 4) to d*r**3 + a*r + o + m*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 38*h**3 - 78*h**2 - 26*h + 60. Calculate b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -43aaa7?\nAnswer: -440001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2.123 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 8*k**4 - 66*k**3 - 8*k**2 + 64*k = 0. Calculate k.\nAnswer: -8, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797127 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o - 40. Let h(c) = 6*c**2 + 10*c - 11. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10) - 2*sqrt(10)) - (sqrt(27)\/sqrt(9) + -4)) + ((sqrt(120)\/(sqrt(4)*1))\/((sqrt(10) - sqrt(20)\/sqrt(2))*6 - sqrt(10)))**2.\nAnswer: -2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 + 2*r**3 + 2*r**2 - 2*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7920)*-2)\/sqrt(11).\nAnswer: -24*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 84 = 25*v - 35*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19056 = 196*c + 369*c + 626*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3\/3 + 3*k**2\/2 + 14. Determine n(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18*y. Let z(x) be the third derivative of -x**6\/360 - 25*x**3\/6 + 6*x**2. Let v(q) be the first derivative of z(q). What is v(l(d))?\nAnswer: -324*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186 + 129 + 129 + -321?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.05, -351?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034*j = -371*j + 708*j + 677*j - 128016 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s + 730 = 206 - 610 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15494 plus 0.029?\nAnswer: 15494.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -1\/10*p**4 + 2*p - 4\/15*p**3 + 12\/5*p**2 + 1\/50*p**5 - 95. Factor c(a).\nAnswer: 2*(a - 3)*(a - 2)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17*z = -22*z + 22, -d + z + 2 = 0. Let w(m) = -m**3 + 8*m**2 - 12*m + 6. Calculate w(d).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 16, a: 3}. Give prob of picking 2 u.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/85672 and -67\/428360.\nAnswer: 428360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*v + 1012 = -4*v, 0 = 4*n - 5*v - 815. Suppose q - n = -3*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(9\/54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54973.59 rounded to the nearest 100?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, u: 4}. Give prob of picking 2 f.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 88*d**2 - 1 - 174*d**2 + 85*d**2 + d + 1 + 1. Let u(v) = -16*v**2 + 12*v + 12. Give -60*n(k) + 5*u(k).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.1 and 0.2?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140425 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l + 1. Let s(w) = -w**3 + 3*w**2 + 5*w + 3. Let x be s(4). Suppose -2*j - 13 = -5*b, -5*b + 7 = 4*j - x*j. Give q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*r**2 - 456*r**2 - r + 900*r**2 - 165.\nAnswer: -2*r**2 - r - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13772 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s = -2165 + 306 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1996468998 rounded to 3 dps?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881058323 to the nearest integer?\nAnswer: 29683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - h + 1, 5*h - 2*h = -6. Let s be ((-27)\/(-9))\/(x\/98). Suppose -s - 64 = -6*z. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5893 + 4977?\nAnswer: a53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 452*g**3 + g**2 + 696*g - 14160093?\nAnswer: 1356*g**2 + 2*g + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10041469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 33*l**2 + 6*l - 50. Let b be n(-17). Suppose g - b = -0*g - 3*h, 0 = -2*g - h + 279. Calculate the highest common divisor of 220 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -277138, 1, 0, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89699 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -829273 >= -829239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -974*h**3\/15 + 81184*h**2\/5 - 2600*h\/3.\nAnswer: -2*h*(h - 250)*(487*h - 26)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-8) + (-24)\/96. Let r be 18\/27*(-6)\/n. Let m(w) be the second derivative of 13*w**4\/12 + w**3\/3 + w**2\/2 + 34*w. Calculate m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = -13, -2*t = -3*g + 35. Suppose -2*b - g*b = -2*b. Solve -3*i = -b - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.20388 and 0.1.\nAnswer: 0.020388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 44. Let o = -30 - l. Find the third derivative of o*c**4 + 6*c**2 + 5*c**4 + 4*c**2 - 2*c**4 wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120473*g**3 + 2*g**2 + 25*g wrt g?\nAnswer: -722838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10185, 40258, 70331, 100404, 130477, 160550?\n\"Answer: 30073*h - 19888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.9 - -8.8. Let d = b - 0. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 1. Let d be 1 + 4\/(-10)*l. Suppose -3*w - 4*z = -25 - 0, 27 = d*w + 3*z. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*b - 55*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4 - 688*t**3 + 1388*t**2 - 696*t = 0.\nAnswer: -174, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14560 and 10920?\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2998 + 2967. What is the smallest value in -1\/6, x, 0.3, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 6*v**2 + 68 + (0*v + 2*v + 0*v)*(0*v + 0*v - v))*(5 - v**3 - 1 - 3).\nAnswer: -4*v**5 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9028332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 2:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/61, 0.1, -436971, -0.2 in decreasing order.\nAnswer: 0.1, 2\/61, -0.2, -436971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/12 + o**2 - 6*o + 33. Let n(h) be the second derivative of s(h). Let c(l) = -7*l. Calculate c(n(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 + 10*p. Give z(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 - 200*y**2 = 0 for y.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 + 5*r - 4. Let u(w) = 61*w - 120. Let s be u(2). What is n(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**3*t*t**2*t)\/(t**(-1))**(13\/3))\/(t\/(t*((t*t*t**4)\/t)\/t)*t\/(t**(-7)\/t)*(t**2)**(-16)) assuming t is positive.\nAnswer: t**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:05 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 135 = -3*n, 1523 - 3010 + 1505 = -6*n for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b - 18. Suppose -2*t = -b*t + 8. Suppose -2 = -5*p + 3*h + 14, -2*p = t*h. Solve 4*y + 2*j = -18, 3*j = p*y - 0*j + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -5) + -32 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 - 3)*(1 - 48*q - 145*q + 54*q)*(2 - 4 - 2).\nAnswer: 2224*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 7, 8\/3, -0.27, -2, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238875 to the power of 1\/2, to the nearest integer?\nAnswer: 2498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12662, 12621, 12508, 12281, 11898, 11317, 10496?\nAnswer: 9393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-19 - -11) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2627942142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5172)\/10)\/(-2) + 16\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350*n**4 + 3618 - 3618 + (-6*n + 3*n + 2*n)*(n**3 + 6*n**3 - 3*n**3).\nAnswer: 346*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -77068329.\nAnswer: -77068315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from vftqffnfqn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 27 - 93. Calculate the greatest common factor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/210*1*3. What is the third smallest value in 3, -39, d, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -32*m - 62. Let w be s(-4). Calculate the common denominator of -103\/30 and 1 + (-149)\/w + 9\/(-18).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12125*j. Let v = 71 + -51. Let y be 8\/v + 84\/(-10). Let p be k(y). Round p to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/3 - 2877220*x**4 - 60421700*x**3\/3 - 25895040*x**2 + 77685030*x + 155370132 = 0.\nAnswer: -3, 2, 4315837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -309, -1151, -2547, -4503, -7025?\n\"Answer: -a**3 - 271*a**2 - 22*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, f: 1}. What is prob of sequence af?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) + 32\/66. Let h = -0.09 - -4.09. Which is the biggest value? (a) s (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + t**2 - 1. Suppose 5*a = 6*a - 1. Let x be z(a). What is the units digit of -2 + -6*(-6)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207481 is divided by 207373.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129118612*q**2 - 23856981 wrt q.\nAnswer: 258237224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*b = 41 - 51, 2*w - b + 1 = -3*b - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712 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: What is the remainder when (479 + 6)\/(25\/10) - -2 is divided by 54?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39360, -40252, -41064, -41754, -42280, -42600?\nAnswer: -42672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 23 = 4*j + 2*d, 0 = -j - 5*d - 1. Let n(k) = -4*k - 1. Let a(g) = -17*g - 5. What is j*n(q) - 2*a(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718339767 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(560\/49)*-12*(-1)\/(-21)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -12\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3290)\/(-42) - 4\/(-6). Let f = r + -54. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/(-36) - (2 - 0). Suppose g + n + 14 = 3*n, g - n + 9 = 0. Which is the second smallest value? (a) -0.4 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 483346620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1170 - -1169.9995806. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(-3) + (-64)\/(-3) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 25 = -5*d, d + 9 = 2*a + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 369006 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1626.8 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k - 144 = -38*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 429 = -117*s + 423. What is the smallest common multiple of s and 7313?\nAnswer: 36565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 130 - 124, 5*o + 3*p - 23 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 533917424*m. Let j(o) = -2*o. What is j(t(v))?\nAnswer: -1067834848*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-43)\/(66650\/50))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 44 = -80. Let m(y) be the second derivative of -1\/2*y**3 + 6*y + 0 + 1\/2*y**2. Give m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179, 208, 283, 428, 667, 1024, 1523, 2188?\n\"Answer: 4*p**3 - p**2 + 4*p + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.100683 and 335?\nAnswer: 33.728805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2 and -31\/330352.\nAnswer: 330352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(3 - -3) + (-6)\/36. Let v = 1632\/19 - 123498\/1463. Let z = 21\/11 - v. Is z greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132225567 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 - -253. Sort -2\/5, 0.2, q, 0.4 in descending order.\nAnswer: q, 0.4, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 0) + 1 + (48 - (55 + (-54 - -31)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 15. Suppose 121 = 4*q - 35. Let z = p + q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173492723 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*s = 40, -5 = w - 2*s - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -161*k**2 + 3205*k + 293. What is v(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 3*q - 4. Let b(s) = -19 - 23 - s + 43. Calculate 2*b(z) + p(z).\nAnswer: -2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 1357?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64825 by 3330.\nAnswer: 12965\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 288 = 57. Let v be (p\/(-44))\/((-2)\/8). Do -23 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196, 393, 590, 787?\n\"Answer: 197*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -7591?\nAnswer: -7591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((2 + sqrt(2299)*-1 - sqrt(2299)) + -1 + 0 + sqrt(2299))*-1*-5)**2*-2 + 1.\nAnswer: -115003 + 1100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -4\/5*f**5 - 10\/3*f**3 + 11 + 0*f**4 + 0*f + 0*f**2. Find the third derivative of p(l) wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*h + 93. Let i be h\/20 - 1*2. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 8343 - 8343.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 195 and 61.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let l(r) be the second derivative of 5*r**4\/6 + 13*r. Calculate j(l(q)).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 0*o + o)*(-59*o + 256*o + 124*o) - 3*o**2 + 0*o**2 + o**2 in the form c + u*o + f*o**2 and give f.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 197. Let n be ((-4)\/5)\/(2\/v). Is -23\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 15)*(1967*n - n**2 + 3*n**2 - 30*n**3 - 1968*n)*(-n + 2*n - 2*n) to b*n + f*n**3 + y*n**4 + l*n**2 + d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2825*s - 39*s**2 + 2825*s - 2*s**2 + 5*s - 5*s + (-4 + 3 + 2)*(-2 + 2 - s**2).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -1 (b) -1\/33 (c) -0.5 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 - 6. Suppose -3*y = -3*u, 68 - 62 = 3*y - u. Suppose -105 = -12*s - 3*s. Solve 4*r = y*x - s, b*x + 24 = x - 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4343 and 1192\/89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 93728668274018*c**3\/13 + 54766024*c**2\/13 + 8*c\/13 = 0. Calculate c.\nAnswer: -2\/6845753, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*j + 4 = 79*j. Solve -10 + 2 = j*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*s = 271, 4*h - 2*s - 337 = 657. What is the tens digit of (h\/7)\/((-8)\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 43*g**2 - 283*g + 167. Determine c(7).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*b + 60, -2*b + 42 = 2*x + 10. Suppose -x*w = -11*w - 34. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*u = 6, -9*q + 5*q + u = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + a**4 + (0*a**2 - 4*a**2 + 3*a**2)*(-a**2 - 3*a**2 + 6*a**2) - 50*a**4 + 3*a**3 - 372*a + 371*a - a**3.\nAnswer: -51*a**4 + 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*g**3 - 70*g**3 + 130*g**3 + 43*g + 4*g to f*g**2 + u + h*g + l*g**3 and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1310, -1304, -1298, -1292?\n\"Answer: 6*a - 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*p**3 + 2*j**3*p**2 - 3261*j**2*p**3 + 46*j**2*p**2 + 2*j*p**2 + 6*p**3 - 342*p**2 wrt p.\nAnswer: -12*j**3 - 19566*j**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 76, 195, 366, 589?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14491*i - 2362115. What is x(-163)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:54 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -407*m**2. Let w(o) = -5*o**2. Give i(w(f)).\nAnswer: -10175*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35980 and 51400?\nAnswer: 359800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 50790?\nAnswer: 2234760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c + 36*c + 18*q + 26 = 0, -8 = c + 3*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p + 5. Let i be s(5). Let d = 49 - i. Suppose -5*o + 33 = -17. What is the remainder when d is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 401.1 + -44.1. Let f = j + -357.00000096. What is f rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 120358200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w**4 + 0*w)*(w - 4*w + 0*w)*(3 - 2 - 15).\nAnswer: 168*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 4) + 58 + (-92 - 62)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**4 - a**3 - 8806*a + 27353 wrt a?\nAnswer: 8*a**3 - 3*a**2 - 8806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20569 by -307.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1859*q - 1385 = 4192 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + q**5 + q**5 + (-2*q + 7*q + 4*q)*(0*q**4 - 2*q**4 + 4*q**4) + q**5 + 1 - 1 + q**5 + 0*q + 0*q.\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-8))\/5*(-30)\/(-13005)*51\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y - 1\/105*y**5 + 1\/420*y**6 + 0*y**4 + 0 - y**2 + 0*y**3. Factor n(c).\nAnswer: 2*c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*g - 6539 = -6505, 0*g = 5*u + g - 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-54)\/322)\/((-214)\/749) and ((-3 + 5)*17)\/((-128)\/(-24))?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 9856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (138\/(-64))\/((-136)\/32 + -4) and 41\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 4*t**3\/3 + 3. Let v = 5 - 3. Let m(b) = 4*b**2 - 3*b + 3*b - 2*b**v. Determine i(m(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12296 divided by 212\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/11 + 96\/44. Suppose a = 8 - d. Factor -3*b**3 - a*b**4 + 0*b + 3*b - 3*b.\nAnswer: -3*b**3*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.001, 236, 102, 2\/5, -1.2 in descending order.\nAnswer: 236, 102, 2\/5, -0.001, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 25299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/3 (b) 10 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/(-3) + -1)\/(2\/(-12)). Let a be 3\/(1\/(-6) - t\/60). Suppose -5*v + 85 = a*z, -5*v - 1 = -4*v. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -7 - -165) + -75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**2 - 41*g - 22*g**2 + 122*g**2 - 24*g**2 wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/42 + (-30)\/(-14). Solve f = -5*u - 2*a - 3, -a = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71170 (base 14) to base 3.\nAnswer: -111211001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3451159, -13804676, -31060537, -55218742?\nAnswer: -86279291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 568\/4405?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18911\/2115 - -66\/235. Let v = 9 - x. Let g = -0.3 + -0.2. Which is the nearest to v? (a) -3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-14)\/(-7)))\/(3*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 4*m**2 - 7*m + 6. Let p be y(4). Let s be p\/(-116) + 3 + -6. Let o = -75\/232 + s. Which is the nearest to -0.3? (a) -2\/15 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 2)*8\/(-6). Let b(m) = 191*m - 50*m + 5 - 39*m + 2*m**2 - 49*m - 47*m. Give b(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83831*l**3 - 12838*l.\nAnswer: -502986*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1104830*g**2*k - 488212*g*k wrt g.\nAnswer: -2209660*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36431 - -23810. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 22\/4 + 0. Let z(u) = -u**2 - 9 - d*u + 55 + 3*u. What is the tens digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15528828100 rounded to the nearest one million?\nAnswer: 15529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/288*6\/(-7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 27*s**2 + 84*s + 3. Let w(g) = 5*g**3 + 54*g**2 - 167*g - 7. Let q(h) = 7*v(h) + 3*w(h). Find the second derivative of q(k) wrt k.\nAnswer: 6*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -558, 0.03686?\nAnswer: 0.03686","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 + 20013*c**3 + 173535*c wrt c?\nAnswer: 20*c**3 + 120078*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -6*g - 0*g - 8*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(1100) + -5 + sqrt(1100))**2 + -4*6*(0 + sqrt(1100)) + -5)*-5.\nAnswer: -21980 + 1000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -136*f**2 + 117*f + 17. Give q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = 3*v. Suppose -v*r - 2*n - 6 = 0, -2*r - 12 = -0*r + 4*n. Suppose 4*i + 4 = 0, r*f + 80 = 3*f + i. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20) - (-632)\/(-140)) + 5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(3 - (-3 - -5)). Which is bigger: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1502*z - 51086. Give j(34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -39 - 1. Let l = c - 5. Solve 0 = 2*t + t + 3*p - 6, l*t = 3*p - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 15*y - 16*y**2 + 5*y**2 - 5*y - 20. Let a be j(-12). Calculate the least common multiple of a*(33\/(-12) - -3) - -2 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503 - -507. Which is the closest to 3? (a) 0.4 (b) k (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 + 2*t**3 - 4*t - 49. Let x be ((-6)\/5)\/(1\/5). Let o be c(x). Let v(j) = j**3 + 4*j**2 - 4*j - 6. Calculate v(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhvv when four letters picked without replacement from {h: 3, v: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*j + 12069, -94*g + 100*g = 0. Which is bigger: -4024 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 8. Let n be k(-10). Determine t, given that 0*t - 2*t - 3*t**n + 2*t - 3*t**4 + 6*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1888742446 and -29.\nAnswer: 1888742417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 76881.59 years?\nAnswer: 7688.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 231\/44 + 2\/(-8)*1. Solve -r + 3*u - 10 = 0, 5*r - r + o*u = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**19)\/j**(-32) assuming j is positive.\nAnswer: j**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -20*k**5 - 575*k**4 + 3405*k**3 - 5515*k**2 + 3215*k - 510 = 0.\nAnswer: -34, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 571, 553, 529, 499, 463?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-27)\/45*-5*(-1)\/135?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-1)*53\/(-106)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5778498 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Let t(v) = 5*v**2 - 20*v - 21. Let h be t(-1). Solve -l*n - 8 = 4*w, -w - 4*w = -h*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10100 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1873, 8218, 18801, 33628, 52705, 76038, 103633, 135496?\nAnswer: 171633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3294 - -3305. Solve -16*l - 3*u = -11*l + t, 0 = -u - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179467 and 153959?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45907?\nAnswer: 29, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 2*k**4 - k + 537*k**4 - 2274 + 2274 + k + 2*k**4 - k + (-2 + 4 + 0)*(2*k**4 - k**3 + k**3) - 10*k**3 + 10*k**3 + 4*k**4.\nAnswer: 545*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 - 6*a + 6. Let m be o(6). Let x = m + -4. Suppose x = 4*d - 5*n - 7, 3 = n. Calculate the smallest common multiple of 2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and -3.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0 = 10, 0 = 2*c + 3*g - 6. Suppose 20*y = c*y + 7840. Does 56 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 325 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 357 - 347. Is u at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 6 + -4 + -10 + 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 f when three letters picked without replacement from {a: 1, p: 1, f: 3, o: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1 - 3 - 818*r**2 + 814*r**2 + 5 + 7*r**3 - 2*r. Let w be g(4). Suppose 4*b = -5*z + w, 0*z - z = 4*b - 79. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185.7 - 185.7. Sort 1\/8, n, -1, 4 in increasing order.\nAnswer: -1, n, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Suppose -3*w + 2*n + 9 = -4, -4*w = -5*n - 15. Suppose -w*r - 2*r = -63. Let s(h) = -r*h**2 + 51 - 51 - 2*h**2. Give v(s(p)).\nAnswer: -242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 0, 22, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334917 is divided by 9521.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 0*z)*(12*z - 2 + 10*z - 17*z)*(4 - 2 - 1 - 4 - 1 + 3 + (-2 + 0 + 3)*(-2 + 2 - 2) + 3 - 1 - 4 + 0 + 0 - 1).\nAnswer: -60*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 106. Sort -5, m, 8, 1 in decreasing order.\nAnswer: 8, m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4*5\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78*(-10 - (-273)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 5*b + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -936101\/255 + 3671. Let z = 2\/15 - j. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-24 - (-62 - (-3 - 18))) - (0 + 36)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 13*z - 33. Let r(c) = 2*c**2 + 1. Let q(a) = -f(a) + r(a). Let t be q(15). What is the common denominator of -30\/7 and (58\/609)\/(t\/318)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974 is divided by 3964.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.9, 4 in descending order.\nAnswer: 4, -0.9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1211473 (base 9) to base 16\nAnswer: -a0743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0 + 0 + (14*j + 28*j - 66*j)*(0 + j + 0) + 2 - j**2 - 2)*(1 + 0 + 0).\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of ((-64)\/48 + 2)*13092\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86527, 173184, 259959, 346852?\n\"Answer: 59*x**2 + 86480*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:55 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z**3 + 0*z + 0*z**4 + 40*z**2 + 72 + 37\/2*z**6 + 0*z**5. Find the second derivative of g(a) wrt a.\nAnswer: 2220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76030 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12755, 12760, 12775, 12806, 12859, 12940, 13055?\nAnswer: 13210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d + d - 215 + 217. Let j(v) = 9*v + 3. Let h(i) = 5*g(i) - 4*j(i). Let s(o) = 7*o - 3. Determine -10*h(n) + 6*s(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:19 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2470\/228)\/((-28)\/168)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 not equal to -18655.1723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 489*u**2 + 1005*u + 54 = 0. What is u?\nAnswer: -2, -9\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 + 642. Let s(a) = -a**3 + 30*a**2 - 2*a + 82. Let k be s(21). Suppose 10*v - k = z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 163. Calculate the greatest common factor of l and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((3 + -2)\/1). What is the second derivative of -6*h**3 + 0*h - 2*h - w*h + 0*h wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 1\/2, -0.43, 2\/15, -2\/7, 4 in descending order.\nAnswer: 4, 1\/2, 4\/9, 2\/15, -2\/7, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -0.2 (c) 0 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6068382 and 16\/1791.\nAnswer: 3622824054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o + 22. What is j(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 + 6*d - 15. Suppose -2*r = -6*r - 32. Let b be h(r). Let i(w) = -16*w**2 - w + 1. What is i(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0 - 2*x**2 + 1 + 0 - 8*x**3. Let k be 7\/(43 - (17 + 19)). Determine m(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*p + 34 = 4*n, 4*p = -n - 17. Suppose n*i = 7*i. Solve -4*x - 8 = -2*k, 2*k = -i*x - 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*n**2 + 113*n**2 - 247*n**2 - 11 - n**3 + n**3 - 3*n**4 to w*n**3 + i*n + d + p*n**4 + t*n**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 134210502?\nAnswer: 134210454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:51 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-5*6 - sqrt(99))**2 + (-4*(4 + sqrt(99)) + sqrt(99))**2 + -1 + -1.\nAnswer: 288*sqrt(11) + 96284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 2*b - b)*(0 + 3 - 4) + (-4*b + 3*b - b)*(0 - 3 + 2) + b + b + 0*b)*(-2*b**2 - 2*b**2 + 3*b**2)*(7310 - 3180 + 7859).\nAnswer: -23978*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1531*z + 646*z - 26550 = 0 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 162?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10227 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 10*y + 12. Let f be g(-9). Solve c - 2*t = -0*t - 11, 0 = -5*c - f*t + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.51 - -0.66. Let k = l - 0.17. Sort k, -1, 0.3 in decreasing order.\nAnswer: k, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49158 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 - -460. Let f = o - 244. What is the greatest common factor of f and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4237 and -266876\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*d + 3 - 69 - 455*d.\nAnswer: -2*d - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*m + 2022*l**2 - 8*l*m - 391*m - 80 wrt l?\nAnswer: -2*l*m + 4044*l - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.1 - -107. Let r = -17 + z. Round r to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59119 is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:14 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.6 - 6.93. Let a = f + -4.67. Let k = -10 + 13. Sort a, 0.2, k in decreasing order.\nAnswer: k, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 48 (b) 0.3 (c) -10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p - 1. Let h be y(5). Suppose 5*r = -21 - 44. Let x = h - r. Calculate the remainder when x is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2)*j)\/j**(-1\/5)*(j**1*j)**(6\/5))\/((j**(-3\/4)*j**(2\/13)*j)\/(j**(-1))**49) assuming j is positive.\nAnswer: j**(-10869\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8 - 3 + 5*f**2 - 4*f**2 + 0 - 4*f. Calculate the lowest common multiple of a(5) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*m**3*w - 4*g*m**3 - g*m*w**2 - 2*g*m*w + m**3*w**2 - 37*m**2*w**2 - m**2*w wrt w?\nAnswer: -2*g*m + 2*m**3 - 74*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**4\/l)\/l*l**(-13))**9)**(-44\/3) assuming l is positive.\nAnswer: l**1320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 275 - 209. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1276, 3986, 8504, 14830, 22964?\n\"Answer: 904*t**2 - 2*t + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -a + x + 76, -3*x = -3. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*l**2*o**3 - 2*g*l**2*o**2 - 10*l**2*o**3 - 2*l**2 + 26*l*o**2 wrt o.\nAnswer: 6*g*l**2 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 3*x**8\/2240 - x**5\/20 - x**4\/12 + 5*x. Let w(v) be the third derivative of b(v). Find the first derivative of w(n) wrt n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -28*a**3 + 18567*a**2 - 1985*a - 2613. What is l(663)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1077, 2231, 3379, 4515, 5633, 6727, 7791?\nAnswer: 8819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:19 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 185\/(-4)*4*-1. Suppose -6*i = -i - p. Let o = -17 - -30. What is the remainder when i is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59763, -239085, -537961, -956391, -1494375?\nAnswer: -2151913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 2:58 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {u: 3, m: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3 - 0. Let g = 8 - t. What are the prime factors of (g\/2)\/(5\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-120))\/((-54)\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 331026432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 4354599 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278190463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 - 144560*w - 23509792800 = 0.\nAnswer: -325260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -615 divided by 4381\nAnswer: -615\/4381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 5990*g**3 - 145680*g**2 + 1170560*g - 3128320.\nAnswer: 5*(g - 8)**3*(g + 1222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.48 - 20.52. Let v = l + 20.89. What is v rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 11*y**2 + 2*y + 16. What are the prime factors of p(11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 103. Suppose 20 = q - a*f, -5*q - 3*f + 0*f + 48 = 0. Solve 3 = -5*d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -592845, -1185681, -1778485, -2371251, -2963973, -3556645, -4149261?\n\"Answer: z**3 + 10*z**2 - 592873*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 14549340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-72)\/12)\/(-48))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:46 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(2\/9))\/(y**(2\/13)\/(y*(y\/(y\/(y*y*y**(-4))))\/y))*(y*y\/(y**0\/y*y)*y*y)**(-1\/31)*y**(3\/2)\/(y\/(y**1*y)) assuming y is positive.\nAnswer: y**(-40337\/7254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 6:26 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-783)\/(-72))\/(0 + (-18)\/27069). Let b = 16360 + z. Calculate the common denominator of b and 103\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2\/(-192))\/(400\/(-600))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 15. Suppose 66 = v*q - 139. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.5 - 19. Sort 0, 1, q in decreasing order.\nAnswer: 1, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 13*x. Let v(n) = n**2 + 6*n. Let z(o) = -4*h(o) + 10*v(o). Let g be z(6). Calculate the greatest common factor of 180 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*(-1 + 3). Suppose -4*t + y = -t. What is the biggest value in 1\/8, t, 2\/7, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 518243113*h + 401870302?\nAnswer: 518243113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 401*x + 1272. What is the hundreds digit of d(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 - 19*t**2 + 9*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 137, 160, 207, 290, 421?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51263781 is divided by 771?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y**3 + 2*y + 2. Let b(v) = -2*v**3 + v + 1. What is 2*b(n) - z(n)?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 81 = 5*l - 24, 3*l - 66 = 2*d. Solve l = 5*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**7\/21 + 2*c**4\/3 - 27*c**2\/2 + 25. Let a(u) be the second derivative of x(u). Find the second derivative of a(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:53 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 7023*y**2 + 19867*y**2 - 2*y.\nAnswer: 12844*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12330130 (base 4) to base 8\nAnswer: 67434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f**2 + f + (0 + 1 + 0)*(-f + f + 6*f**2))*(446 - 456 + 924) as p*f**2 + w + v*f and give p.\nAnswer: 6398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38\/5, -2, 1, -0.186?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnnnnnnddxdnn. What is prob of picking 1 d and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/18)\/((-148)\/24 - -5). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092408469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037643375 rounded to four dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-2*20\/12*(-20)\/50.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22389 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 16179526*j - 130888530792338.\nAnswer: -(j - 16179526)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 7. Let m be j(-4). Let d = 0 - m. Suppose -54 = -9*i + 4*i - 4*z, -i - 5*z + 15 = 0. Is d greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 19. Suppose -4*o + s*o = 3, 0 = -2*t + o + 443. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -108, -162, -216?\n\"Answer: -54*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*k = -15, 3*p + 4*k - 2 = -7. Let o = 25 - 26. Which is bigger: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + sqrt(1539) + 2 + sqrt(190)\/(sqrt(30)\/sqrt(3)).\nAnswer: 2 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 3936.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5690000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3867055 centimeters?\nAnswer: 3.867055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -35?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - -7. Calculate the highest common divisor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 366280, 732557, 1098834?\n\"Answer: 366277*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 3*m**2 + 3*m - 2. Let r be a(-4). Solve -4*y + 8 = 3*w, -r*y + 0*y + 4 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6736\/64 + 1*(-2)\/8. Is 1*v*(-48)\/(-36) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1728, 3467, 5218, 6987, 8780, 10603, 12462, 14363?\nAnswer: 16312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20, 1561, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.56 - 5.56. Let n = 29 - 25. Put n, -0.1, -0.04, r in increasing order.\nAnswer: r, -0.1, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -4107899\nAnswer: -4107898.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69557010 divided by 6?\nAnswer: 11592835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -124*y + 91. Determine t(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3932, 2, 14825.\nAnswer: 2, 3932, 14825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -76*w - 1221. Let j be g(-16). Sort -1, 4, -666, j in decreasing order.\nAnswer: 4, -1, j, -666","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*i = -3*s + 69, -i + 25 = 2*s. Let n(r) = 154*r - 9. Let k be n(2). Let j = -156 + k. Calculate the highest common factor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1511\/4921 - 15\/703. Sort 4, 0.26, 6.2, y in ascending order.\nAnswer: 0.26, y, 4, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 - 16)*(-9*u - 14 + 14)*(-2*u + 2*u - 2*u).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*g - 8, 2 - 1 = -l - 3*g. Let z be -4*(1 + 7\/l). Determine u, given that -3*u**4 - 3*u**2 - 1 + 5*u**3 + u**z + 1 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1718 > -1716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 3 - 4 - j + 1. Let s(z) = z**3 - z**2 - 2*z + 2. Let a be s(2). Give i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 20*g**2 + 0*g + 0*g**3 + 0 - 1\/12*g**4. Let f(x) be the second derivative of -x**3\/2 - x. What is y(f(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38 and -756.3.\nAnswer: -718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001647738938 rounded to six decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3 - (-248)\/48. Let h(t) be the first derivative of f*t**3 + 3 + t - 3\/4*t**2. Factor h(g).\nAnswer: (g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671135165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-176)\/3432)\/(1\/(-13)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/3 + 2436*p**2 + 726110*p - 2185636\/3 = 0. Calculate p.\nAnswer: -278, 1, 3931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12750240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11479*r**2 + 2460*r**3 + 1204*r**3 - 11469*r**2 + 22948*r**2.\nAnswer: 3664*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/11 or -0.03?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-140)\/18 + (2 - 0) and -29\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.52 + -0.22. Let i = 2.5 - y. Let z = -0.26 + -0.14. Which is the smallest value? (a) i (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13303 (base 6) to base 14\nAnswer: -a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -737260 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 + 0*s**3 + 1 - 5*s**2 - 5*s + 2*s - 3*s**3. Suppose 2*c - 20 = 7*c. What is the tens digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-115738)\/(-2)*36\/14. Let r be 5\/((-15)\/q) - 2\/(-1). Round r to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-165)\/(-22)*4\/(-6))\/(-1). Is -2*(g\/(40\/(-212)) - -1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*c - 3*s, -2*c = 6*s - 11*s - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.8 - -27. Let n = -980.8 - -981. Let z be (2\/(-9))\/(0 - -1). Which is the closest to n? (a) 3\/8 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 4*x**2 + 11*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 144 = 0. Suppose -2*a + 5*a = c. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 16*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -673943371 and -294564.\nAnswer: -674237935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -45814, 131.\nAnswer: -45814, -2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57834 - 13834. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 1182349328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z - 27. Let q be (-34)\/8 + (-6)\/8. Let u be p(q). Suppose 168 = -4*v - u. Are -59 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20972255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -50676\nAnswer: -4\/4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:18 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - (-2 + -56)) + (-225 - -219).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-24) - 12)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 (base 7) in base 12?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -88*v**2 + 3301*v - 9*v**4 - 3238*v - 183*v**3 + 217*v**2 = 0. What is v?\nAnswer: -21, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.39 and 15?\nAnswer: -530.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120.5 - 121. What is the smallest value in d, -2\/57, 4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w + 16*w - 9*w + 1. Let k be h(-2). Suppose 83 = k*b + 3. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-5) + -834)*(-4)\/(-10). Let s = -312 - l. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1. Let z(v) = -33*v - 8. Let y(d) = 5*f(d) - z(d). Let n be y(-8). Let o = -134 - n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/(37765\/7290) + -16?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5 + 481*n**4 + 212829*n**3 - 13104509*n**2 + 254932424*n - 1632990720 = 0?\nAnswer: -320, 19, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 202 - 20 = 0. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - 161\/(-138). Let u(t) be the second derivative of 1\/10*t**5 + 4\/3*t**3 + 0 + c*t**4 + 4*t + 0*t**2. Factor u(j).\nAnswer: 2*j*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32586 + 0.46586. Which is the nearest to r? (a) -9\/37 (b) -0.5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + 41548?\nAnswer: 41595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(-5 - 6). Let k = -7 + 7.3. Which is the fourth smallest value? (a) 1 (b) k (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-6*4\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z - 3. Suppose 186 = 271*y - 627. What is h(y)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -641 + 1057. Let l = -415.99831 + j. What is l rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101111 (base 2) to base 14.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**35)\/t**(2\/29))**47 assuming t is positive.\nAnswer: t**(-46436\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/16)*u*u**(9\/4)*u)**(-30) assuming u is positive.\nAnswer: u**(-975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 996?\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28019294 is divided by 138709?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/100 - a**4\/30 - a**3\/30 + a**2 - 2. Let m(x) be the second derivative of y(x). Solve m(q) = 0 for q.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavs when four letters picked without replacement from {v: 1, s: 1, w: 2, a: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 + -4?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 15) to base 7\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z - 50*z - 21*z - 2*z**3 + 0*z**3 - 7*z**3.\nAnswer: -9*z**3 - 113*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x - 74*x - 32*x + 13860 = 0 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/6, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13775488 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*q, 5*y + 3*q = -0*y + 478. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1163, 1120, 1089, 1076, 1087?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -270*4\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2 + 1. Let g = o + -5. Does 2 divide ((-1)\/g)\/(1\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 19 - (-15 + 49).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 9*s**2 - 4*s - 32. Let t be r(8). Suppose 3*g + 3*o + 1873127 = 6175142, 5*g + 4*o - 7170020 = t. What is g rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34091302331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-204)\/10)\/3 + -1. Let w = 1650659\/231405 - -2\/15427. Let i = r + w. Which is the smallest value? (a) 0.5 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 a when three letters picked without replacement from {a: 2, b: 4, s: 4, p: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2939\/11 - -267. Which is the second smallest value? (a) 2 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7493 is divided by 440.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 21*v**2 + 24*v + 16. What is the thousands digit of r(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 5*l + 321, -4*u - 3*l + 327 = 0. What is the common denominator of 6\/(-21) - (-1270)\/u and 121\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1331367270*a*d**3 + 14154*d**3 - 4438*d + 3 wrt a?\nAnswer: 1331367270*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -48966493 at most as big as -48966494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 25. Let x be q(12). Suppose -4*f = s - 107, -63 - 50 = -s + 2*f. What is the greatest common factor of s and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10499543 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1320543 + -5?\nAnswer: 1320535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*p**4 - 8*p + 475 wrt p?\nAnswer: -228*p**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 2, m: 1, c: 1, o: 1, l: 1}. Give prob of picking 1 n, 1 l, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 2000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17732 (base 9) in base 15?\nAnswer: -3975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8316 or -1\/3960?\nAnswer: -1\/3960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 0) + (-36 - -65) + -43?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*-3 - 4*sqrt(400))\/(sqrt(180)\/(sqrt(490)*-5)))**2.\nAnswer: 9116450\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 10, -4, -2, 49, 5 in descending order.\nAnswer: 49, 10, 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -58. Let k = 7 - s. Let v = 0 + 1. Which is the nearest to v? (a) k (b) 0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7145 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -146312 (base 8) to base 12\nAnswer: -2640a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - 5*(sqrt(65) - (sqrt(65) + sqrt(65)*2)))\/(sqrt(60)\/sqrt(192)).\nAnswer: 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34242 + -5?\nAnswer: -34251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.47. Let d = 9 + -9.2. What is the closest to d in 0.5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from jhjvjhhvj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 - 5*l. Let v(w) = -18. Let q(r) = r + 6. Let i(m) = -3*q(m) - v(m). Calculate x(i(f)).\nAnswer: -54*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**2 + 894*r + 7498. Give l(67).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + k**2 - 14*k + 8. Suppose -12 = 4*q - 3*o, 0*q - 4*q - 44 = 5*o. Let l be b(q). Let f = -22 - l. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*g + 141*g - 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/13912 + -123079\/417360. Calculate the common denominator of 173\/30 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92890)\/(-700) - (-676)\/520?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4666\/3 or 1554?\nAnswer: 1554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 38*o + 8. Let c be i(-13). Let b(j) = 2*j + 1. What is b(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560589357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30939\/4 + 7735. What is the second smallest value in -165, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-4 + (-1 - -1). Suppose 11*v - 16*v - 6 = 2*w, 3*v - 6 = 2*w. Put w, d, 0 in descending order.\nAnswer: 0, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/2)\/(-1) - 1. Let y = 10 - 6. Let v be 4\/(8\/y + -4). Sort p, 5, v.\nAnswer: v, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 454, 997, 1492, 1915, 2242?\n\"Answer: -4*n**3 + 571*n - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1703 - -1804. What is the remainder when w is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/99)\/((-7092)\/(-121352)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 77884963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 340 = 5*k + 106, -u = 4*k - 80. Sort u, 5, 11, -1, -4 in descending order.\nAnswer: u, 11, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.52441 rounded to 1 decimal place?\nAnswer: -162.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 r, and 1 m when four letters picked without replacement from {r: 3, m: 1, q: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -5. Which is the nearest to -1? (a) h (b) -0.4 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-9))\/(2\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 33. Let a = 3084 + -3070. What is k(a)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 854*x + 56*x**2 - 53*x**2 + 6.\nAnswer: 3*x**2 + 854*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5641848303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1336686 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*v + 22 = 0, 5*v = -0*h + 2*h - 7. Let b(j) = -j**3 - 7*j**2 - 6*j + 5. Let y(l) = 2*l**3 + 13*l**2 + 11*l - 9. Determine h*y(r) + 11*b(r).\nAnswer: r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-16 - -20)) + 1 - 1 - 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 20. Let b(n) = -n**3 - 2*n**2 - 5*n - 6. What is the tens digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604646 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: What is the tens digit of 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -1.4 (c) -0.2 (d) 0.1 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let h(w) = -33*w + 16*w + 58*w**2 + 15*w. Give h(b(i)).\nAnswer: 232*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g - 12. Calculate c(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11096 - -10973. Is -27 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*54\/4. Let u = -6 + p. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 42 = -12. Suppose 4*v = -j + 30. Suppose 0 = -0*q - v*q + 295. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*u = -1815, 0 = -q + 3*q - u - 915. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33*(1474\/(-44))\/(3\/20). What is u rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/1 + (-48)\/(0 + -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -190*o + 25. Let d be f(2). Let w be (d\/(-45) - -2) + 1. Is w != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let a(r) = r**2 + 220*r - 439. Let g be a(2). Put d, 28, g in ascending order.\nAnswer: d, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27058?\nAnswer: 2, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrrrhrrhh. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1836)\/240*(-440)\/1870?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 37*d - 217. Suppose -2*p = -0*p - 16. Calculate the remainder when t(8) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(1536) + -1*(sqrt(1536) - sqrt(1536)*-1) + sqrt(1536))\/((sqrt(32) + sqrt(32) + (6*sqrt(160))\/sqrt(5) - sqrt(32))*5).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 3*c**3 + 0*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Suppose -3*n + 20 = -3*d - 10, -n = -4*d - 25. Let y(w) = 12*w + 3*w + n - 5. What is h(y(r))?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/7 and 6\/21 + 493\/5236.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -593, -1681, -2783, -3905, -5053, -6233?\n\"Answer: -k**3 - k**2 - 1078*k + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.8, -3\/4, 2\/3 in descending order.\nAnswer: 0.8, 2\/3, 2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*l + 80, -d + 2*d - 3*l + 25 = 0. Let f be (15\/10)\/(1\/d). Let a = f + 172. Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/225609 and -41\/1570.\nAnswer: 2256090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 116428 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543070?\nAnswer: 2, 5, 11, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4682*t**2 - 956 + 4530*t**2 + 942 to g*t + c + d*t**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*d**2 - 1501*d**2 + 792*d**2 - 126*d**3.\nAnswer: -126*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-168)*-4)\/(0 - 1). What is the third biggest value in -2\/43, -2\/17, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 2:00 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/99 and -44\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 1:31 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521440 is divided by 10641?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5702741 is divided by 814675?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 1. Let g = -10 + o. What is the third smallest value in -3\/7, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58713?\nAnswer: 3, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129511*x + 64762*x + 6205*x**3 + 64749*x.\nAnswer: 6205*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/3)\/((-1)\/3). Let s(v) = -v**2 - 7*v + 10. Is s(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 7*m**2 + 7*m + 10. Let b(y) = -y**2 + 7*y - 2. Let c be b(5). Let r be s(c). Factor -2\/5*v**r - 2\/5 - 4\/5*v.\nAnswer: -2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 - (-11 + -110)\/(-11) is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 36 = -3*n + 55*q, 20 = n + 2*q. Calculate the highest common divisor of 931 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -840, -722, -512, -198, 232, 790?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.24468887*-0.04\nAnswer: -0.0097875548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -199.896.\nAnswer: -196.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = -4*l, -h - l - 5 = -2*l. Let j be (6\/(-9))\/h*3. Find the first derivative of 0 + j - 5*s + 2*s wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143948)\/(-45590) + 0 + ((-3)\/15 - 3)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 - -667. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiyiieieykymekiiyh. What is prob of picking 1 e and 1 m?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 5}. Give prob of picking 2 e.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - 22*c + 24. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 471, 488, 505?\n\"Answer: 17*r + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycccmmccynyymcmm. Give prob of picking 1 n and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828028, 828027, 828026, 828025, 828024, 828023?\nAnswer: 828022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 4973 + 5677. What is the highest common factor of 1136 and m?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 7\/(-2) + (-120001)\/(-62)?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4256.04 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3834 - -2.3834016359. Round w to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83085566 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 62 = 0. Suppose 6 - t = -5*s. Let b be s\/15 + 1\/(-3). Solve -3 + b = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7334 + -1455. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316072 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*c + 21969, -5*c - 1012 + 22983 = -3*r. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + i + 48 = 13, -3*i + 66 = 3*q. Suppose 0 = 16*l - q*l + 243. Suppose l = 83*s - 80*s. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 23*o + 37. Give b(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**23)\/l**13)**(-1\/5) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.2958 + 2?\nAnswer: 198.2958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*q + 151.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 87 = -107. Solve w - 4 - 2 = d, 0 = n*w - 4*d - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (-1*sqrt(128) - sqrt(128))*-6 + -4)**2 - (1 + -1*(2*sqrt(128))**2).\nAnswer: -832*sqrt(2) + 22159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/120 + r**5\/10 - r**4\/4 - r**3\/3 + 7*r**2. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3058546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from jcrxamj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from wtzzwtww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 5*l**4\/16 - 15455*l**3\/24 + 2575*l**2\/4 + 2847*l. Factor h(c).\nAnswer: 5*(c - 1030)*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-64)\/(-252))*(-27)\/567*-12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 5)*(-5)\/1. Let q be m\/2*24\/4. Calculate the highest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 11 = -2*d, -4*v + 2045*d - 16 = 2042*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -316586, 5.\nAnswer: -316586, -174, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1357 = 3*k - k + 5*r, 5*k - 4*r = 3310. Suppose 5*p - 14*p = -k. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/12 (b) 0.4 (c) 0.3 (d) 0.5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + (-305 - -303)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3477, 3472, 3465, 3456?\nAnswer: 3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 61*x**6\/10 - x**5\/10 - x**4\/12 + 2*x**3\/3 + 3*x**2 - 4194*x. Find the third derivative of g(j) wrt j.\nAnswer: 4392*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/16))\/(s\/s**(-15)) assuming s is positive.\nAnswer: s**(-239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10540 and 1870?\nAnswer: 115940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -3, -2, 4.\nAnswer: -3, -2, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -23.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057309 take away 228595?\nAnswer: -228594.942691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*i + 83*i - 29*i)*(-17*i**3 - 38 + 38) - 2*i**4 - 2*i**4 + 5*i**4.\nAnswer: -1835*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/30 + t**4\/2 + 3*t**3 + 3*t**2. Factor x(l).\nAnswer: 2*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5181 - -5269. Solve y*r = 86*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2625 and -10.\nAnswer: 26250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -43. Suppose -b + v = -5*b - 2*a, 2*a + 14 = -3*b. Let q be 4\/(-6) - 45\/(-54). What is the third smallest value in -5, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c**(14\/9)\/c*c assuming c is positive.\nAnswer: c**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 59208*b\/7 - 101520.\nAnswer: (b - 59220)*(b + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/288 and -37\/15852.\nAnswer: 380448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 666*l - 5460. Give v(8).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-12))\/(6\/18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -691 + 694 + (-12 - 1) + (1 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119055*w**2*y**2 + 2*w**2 - 6*w*y wrt y?\nAnswer: 238110*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -67. Let g = -1.61 - -2.04. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 9*p + 78, -836*x = -839*x - 2*p - 50 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -2*r**6\/15 + r**4\/3 + 25*r. Find s, given that h(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1\/4*i**4 + 3\/2*i**2 + 3*i - 2 + i**3. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 15345718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (637\/14)\/13*4. Let o(g) = -3*g + 22. Determine o(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, -196, -585, -1140, -1867?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - 12 = 0. Suppose -4*b + u - 8 = 0, 3*u - f - 1 = 2*b. Let j = 13.2 + -12.7. What is the closest to b in j, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by -431\nAnswer: -92\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktajjjknndnajn. What is prob of picking 1 k, 2 j, and 1 t?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3464 or -3463?\nAnswer: -3463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (2 + -3 - -3). Suppose -1292 = 5*z + l*c + 523, 4*z = c - 1457. Let n be z\/(-18) - 2\/9. Solve 0 = 5*g + 4*t - n, 0 = -g + 3*g + 4*t - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 90*i - 525 = 0. Solve 5*t - 3*k = t - i, -t - 5 = -k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b055 (base 12) to base 9.\nAnswer: 60542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/7, 0, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10\/((-12)\/(-15)*(-205)\/(-124066))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 5*u**4 + 2*u**4 + (0*u**3 + u**3 + u**3)*(0 + 0 - u) - 2*u**4 - 2*u**3 + 2*u**3 + 5001*u**4 + 6405*u**4 - 1634*u**4.\nAnswer: 9766*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + 1443. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:23 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjvjj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/30 + 5*t**4\/3 + 3*t**3\/2 + 2*t**2 - 6*t - 557. Let p(r) = r**2 + 20*r + 4. Determine 5*p(n) - 2*q(n).\nAnswer: n**2 + 20*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)*(-1 + (2 - 0)). What is the second derivative of 82 + 50*v - 82 - 46*v**o wrt v?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 463, 1047, 1865, 2917?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*r + 64*r + 66*r + 62*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 22 - 48 = 0. Let o(a) = a**2 - 3*a - 2. Let c be o(3). Let y be ((-4)\/(-5))\/(c\/f). Solve -5*d - 1 - y = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 7. Suppose 2*j = -2*k + 2, -1 = -2*k + r*k + 2*j. What are the prime factors of ((-6)\/3)\/k + 13?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -126, -3.\nAnswer: -126, -45, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8415 and 133\/4488.\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25076, -50153, -75230?\n\"Answer: -25077*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8588 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 1. Let x(g) = 14*g**2 + 3*g - 3. Let n(j) = -4*p(j) + x(j). Let w be n(-5). Find the common denominator of w\/(-40) - (-2 - -5) and 29\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n**2 - 3*n - 1. What is the units digit of r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13627\/5 or 2724?\nAnswer: 13627\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 119, -0.02?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22403421?\nAnswer: 3, 31, 59, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) 0.03 (b) -0.2 (c) 1 (d) 6\/5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3022?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhr when three letters picked without replacement from jjrhr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1.24\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/90*(-2)\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244434 (base 6) to base 9.\nAnswer: 32764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110271 divided by 177\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2516 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 2683.8.\nAnswer: 805.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 750*a**3*o**2 - 236*a*o*s + 2*o**2*s - 5*o**2 + 6016*o + 1 wrt a?\nAnswer: 2250*a**2*o**2 - 236*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 167, 383, 685, 1073, 1547, 2107?\n\"Answer: 43*z**2 + z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4 + 0*r**2 + 0*r**3 - 36 + 1\/3*r**6 - 2\/5*r**5 + 0*r. Factor o(u).\nAnswer: 2*u**3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1008864 times -2.7\nAnswer: -2723932.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + 3*p)*(-4*p**2 + 2*p**2 - 2*p**2)*(6*p - 2*p - 2*p)*(3 - 2 - 2).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -35.\nAnswer: -35, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(308\/(-2))*((-4)\/2)\/(-2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -179\nAnswer: -12.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:08 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3215\/814?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 3*b, -3*f + 5*b + 16 = 54. Let r(h) = -5 + 26*h - 8*h - 12*h + 15*h**2 - 14*h**2. Give r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -606.1 and -748602.7?\nAnswer: 747996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let z be d(-4). Let b be (2 + 42\/(-15))*5. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512873 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54 + 0.5. Let b = -129.5 + 195. Let m = b - 65. Sort 3, m, c.\nAnswer: c, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 4*j - 8. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 + 12482197*j**2 + 4907681*j wrt j?\nAnswer: -12*j + 24964394","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*v + 297, 4*v + 2*u - 150 = 144. Suppose -3*t - t + v = 0. Let y(w) = w**2 - 12*w + 32. What is the lowest common multiple of t and y(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k + 3. Let t(f) = -f**3 + 7*f**2 - 5*f - 5. Calculate the remainder when j(2) is divided by t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31293366 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 711612257 a multiple of 6244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*d - 53053 = -458*d. What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/14 and -22\/41.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.591554 tonnes?\nAnswer: 591554000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -612 >= -652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8639, 17265, 25891?\n\"Answer: 8626*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from sofyhii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*k**2 + 67*k**2 + 2 - 135*k**2 - 2*k**5 - 2*k**3 + (-3 + 3 - 2*k**3)*(0*k**2 + 2*k**2 - k**2) + 8*k**4 + 11*k**5 - 8*k**4.\nAnswer: 7*k**5 - 2*k**3 + 19*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 12:49 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -m. Let t(x) = -x**3 - 2*x**2 + 2*x. Let v be t(m). Factor 10*b**2 - 1 - 3*b**2 - 4*b**3 - 5*b + v*b.\nAnswer: -(b - 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 0. Suppose g = u + 3*u - 12. Solve -u = 4*b - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 125 = -35. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 - -631. Suppose 43 = -3*j - s. Let r = -403\/4 - j. Calculate the common denominator of -39\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-42)\/6720*-544.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose 4*i = -0*i + 32. Suppose 4*q - i + 3 = 5*w, 2*w + 19 = 5*q. Is m at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -23.3. Let f = 2.7000029 + y. Round f to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 1326083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 106. Let h = -1264 - -1280. What is the remainder when v is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*r + 272 + 112 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**2 - 2*c**2 - 8*c**2 + (-5 + 5 - 2*c)*(-4*c + 2*c + 0*c) to z*c**2 + n + d*c and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2300, 3810, 5284, 6704, 8052?\nAnswer: 9310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -3.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t = -4*v - 202460, -3*t + 4*v = -151847. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. What is the remainder when 88 is divided by ((-52)\/12 - 1)\/(j\/(-18))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-48))\/(45\/(-24))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109323 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24249 (base 12) to base 4.\nAnswer: -23321121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcccttwcttwtwcwwccd. What is prob of sequence tc?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24343, -24342, -24341, -24340, -24339?\nAnswer: -24338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*m + 3*m**2 + 245*m - 1863*m - 4848*m**6 wrt m?\nAnswer: -581760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3101*k - 2285444. Calculate u(-737).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 14. Let t be b\/(-3) + (-28)\/(-6) + -2. Find the third derivative of -12*l**3 + 30*l**2 + 11*l**3 - 23*l**t wrt l.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1473.2 + -1473. Which is the closest to q? (a) -0.1 (b) -2 (c) -1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1108)\/(-831))\/(2\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - -1) + -2)*-1. Let v(q) = -q**3 - q**2 - q + 2. Let u be v(z). What is the third derivative of -r**3 - 2*r**5 + r**3 - r**u wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-4))\/30*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 11*n - 1001965 + 1001965.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let g = 47503\/279 - 5285\/31. Which is the nearest to 7\/5? (a) g (b) z (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2\/4*-4. Suppose -7*w = -3*w - 12. Calculate the greatest common factor of o and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-98)*1*-7*-7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2.3463?\nAnswer: 1.17315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 32 = -4*b, -5150*b + 18 = -3*w - 5146*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1216)*-2)**2 + sqrt(1216))*4.\nAnswer: 32*sqrt(19) + 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 277039 = 5*t + 277053, 14 = -t + 2*j for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10. Let o(b) = -b**2 + 3. Let q be o(r). Solve 12 = -0*d + q*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.1 (b) 3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i = 108*i + 28374086 - 92341347. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(637) + sqrt(637) - sqrt(637)) + -3)**2 + sqrt(26)\/(sqrt(6)\/(sqrt(24)\/sqrt(8))).\nAnswer: 169*sqrt(13) + 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 52 = -2*t, 3*t + 5*t - 2 = -i. What is the lowest common multiple of 0 + 1 + (1 - 1) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/21)\/(374\/119).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.43 + -0.03. Let j = -1143.3 + 1143.1. Let k be 10\/15*(-1)\/6. Which is the nearest to j? (a) k (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1068*z**2 + 16*z - 8. Let f(s) = 712*s**2 + 10*s - 5. Let h(l) = -8*f(l) + 5*y(l). Let w(p) = 2*p. Give w(h(a)).\nAnswer: -712*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzh when three letters picked without replacement from {h: 1, e: 1, z: 5, w: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44971802, -44971796, -44971790, -44971784, -44971778, -44971772?\n\"Answer: 6*h - 44971808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29500150 less than 0?\nAnswer: -29500150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30424 (base 6) in base 10?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 + 20*m**2 + 14*m**2 + 3*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -2. Let f(s) = s + 7*s**2 - s**2 - 3*s. Let k(v) = -5*v**2 + 2*v. Give a*f(r) - 7*k(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11738? (a) -0.4 (b) 2 (c) -0.3955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -1001. Is (-1)\/((-3372)\/w + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843.571 - 62488.\nAnswer: -63331.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.1. Let t(p) = -5*p + 19. Let c be t(10). Let b = -33 - c. Sort i, b, 2\/7 in increasing order.\nAnswer: b, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*t + 659*t = -i - 7, -5*t = 18*i + 59 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2604.531779 and -4?\nAnswer: 2608.531779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -638502, -638516, -638530?\n\"Answer: -14*b - 638488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 325. Let j = t + 114. What is the fourth smallest value in 3, j, -0.3, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + -11 + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191549454.\nAnswer: 2, 3, 31924909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzybbebbubebbszby. What is prob of sequence ubb?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/1320 and -89\/15060.\nAnswer: 331320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161 = -5*q + 3*m, 3*m = q - 354 - 83. Let l = -13 - q. Is 12 a factor of (1\/3)\/((-4)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.272 and -5.1?\nAnswer: 6.4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, q: 2, c: 2}. Give prob of sequence tcqq.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 0*r + r)*(8*r + 7*r + 6*r + (-3*r + 3*r - 4*r)*(6 - 3 + 0)) as w*r**2 + s*r + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4077 and 159003.\nAnswer: 159003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(u**3 - 2 + 2)*(0 + 4*u + 2 - u)*(-1 + 4 + 2).\nAnswer: 30*u**4 + 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*d + 410*d + 92*d - 42780 = 0 for d.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/(-42)*96\/360?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11639998 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*k + 9, -3*k + 13 = 2*k + 3*h. Let p = -29 + 50. Suppose 6*f - 9 = 3*a + 3*f, -3*a = 3*f - p. Calculate the remainder when k is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/6 + 2*n**2 + 17*n. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 14*i + 17. Let w be m(15). Let y = 0 - w. Let z = 14 + y. Calculate the remainder when 57 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4184, 1708, -768, -3244, -5720, -8196?\n\"Answer: -2476*f + 6660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**3\/3 + 5*z**2\/2 + 27*z. Let l(q) = -2*q**2 - 3*q - 3. Let i be l(-2). Calculate b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6164\/(-230) + -7 + 29?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -30549*v - 61103. Give c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -1200310?\nAnswer: -1200325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from hhhmhlhhhmhhhshlhhh?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1907000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 27 = 8*g. Let h be 2\/4 - g\/6. Suppose 0*b = 3*b. Solve b = n - 1 - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -3 (c) 0.2 (d) -4\/3 (e) 126\/5 (f) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1101110000?\nAnswer: 1101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*q + 1. Let b be (q\/(-2))\/(6\/48). Let w(d) = -d**3 - 13*d**2 - 2*d - 23. Let y be w(-13). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1570? (a) -3 (b) -2\/155 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 35528670\nAnswer: -7105734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 169668.1 milligrams?\nAnswer: 169668100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/216 and -61\/84.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 13*v**2 + 45*v**2 + 6 + 38*v**2 + 6*v**2 - 4*v as c + d*v**2 + y*v and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142854, 142848, 142842, 142836?\nAnswer: 142830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 3*n + 2, 2*n + g = 11. Let u = -8 + 10. Find the first derivative of -n + 9*w + w**u - 9*w wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000211 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7304.0588 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -737 + 734. Sort v, 1, -2 in descending order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + c?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = 2*g, 3*g - 7*t - 13 = -3*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166\/(-159)*(-15)\/(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Find the third derivative of -2*m + m**2 + 2*m**6 - r*m**2 + 2*m wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3, 2*v - 3*i - 205 = 16. Let b = 34 - 24. Calculate the remainder when v is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39765?\nAnswer: 3, 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/35)\/((-72)\/((-48)\/6))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 567 = 5*a - 569, 0 = a + 2*m + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 - 8 = 0. Let i = j + -3. Suppose -i*l = -l. Solve 0 = -y - l - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbi when three letters picked without replacement from {p: 1, v: 2, s: 7, b: 1, i: 5, l: 4}?\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14486 - -15416. What is the remainder when h is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -5, -24, -3\/8, 8, -12 in ascending order.\nAnswer: -24, -12, -5, -0.5, -3\/8, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007089 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 + 351*f + 2227. Give c(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2 + (-1)\/(-2). Suppose -k*f + 15 = -0*f. Solve -f*l + 8 = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 2. Let i be r(0). Let v(f) = -i - 2 + 411*f + 1888*f. Let h be v(-4). Round h to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:05 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 16*i - 11. Let u be n(13). Suppose 5*c - 772 = -4*t, 2*t - 96 = -3*c + u. What is the highest common factor of 38 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1981, 3995, 6009, 8023?\nAnswer: 10037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100211011111 - -12?\nAnswer: 100211011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + (-4)\/(-2). Suppose -5 = -f - n. Suppose 4*q - f*p + 19 = -0*q, p = 2*q + 7. Which is the smallest value? (a) 2 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716414 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.7792441 to 2 dps.\nAnswer: -26.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64065, -128126, -192187, -256248?\nAnswer: -320309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 1930*i**2 - 11715*i + 17640.\nAnswer: 5*(i - 3)**2*(i + 392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 226. Suppose -c - 601 = -3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7702490 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -88. Let x = 70 + a. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1609 is divided by 1595.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 30, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18164.34876 - 18167. Let z = h - -0.45454. Let s = 2.2 + z. What is s rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 18110 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 = 3*w. Suppose w*l + 0*l = 63. Solve q + 4 = 5*s - l, -2*s = -8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 0, -3*a + 37 = 5*v + 15. Suppose 2*p + p + 5*h - 6 = 0, h - v = -p. Factor 48*j - 15 + 17*j**3 - 52*j**p - 2*j**4 + 7*j**3 - 2*j**4 - 1.\nAnswer: -4*(j - 2)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282404.\nAnswer: 2, 17, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.4\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*h**5 - 167*h wrt h.\nAnswer: -1860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001129 is divided by 1949?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**6)\/(d*d*(d**(-2\/3)\/d*d)\/d)*(d**(1\/4))**(-3\/32) assuming d is positive.\nAnswer: d**(-2057\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-21 - (3 - 61) - -28)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 + 2*q + 50*q**2 - q**4 - 22 - 48*q**2 - 5*q**3 as j*q**2 + w + z*q**3 + d*q**4 + i*q and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -69*j - 23. Let v(s) = -2*s - 20. Determine v(d(h)).\nAnswer: 138*h + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -244*r + 591. Give f(-3).\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 3. Suppose 0 = -3*y, 5*l = l + 2*y + 160. Suppose 17*q - u*q = -l. Calculate the highest common factor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4759*m + 8843*m - 5040*m)*(-3*m + m - 7*m + (-1 + 0 - 1)*(2*m - 4*m + 3*m) - m - m + 0*m) to s*m**2 + i*m + x and give s.\nAnswer: 12428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1183ad (base 14) to base 2.\nAnswer: 10010010001110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/111880 and 59\/200?\nAnswer: 559400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151618 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 109*f**5 - 622*f**3\/3 + 311. Find the third derivative of v(o) wrt o.\nAnswer: 13080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h + 19. Let x be k(6). Let t be 3\/(2\/(x + 3)). Suppose -4*i = -l + t, 2 + 4 = 3*i. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 10*n**2 - 910*n - 8267. Give r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3 + 2 + 530124\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*z - 25. What is the second derivative of 6*s**z + 5*s**4 - s**4 - 10*s wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281377835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8 - 13?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v. Let o(x) = -10*x**2 - 2*x. Let y(t) = -5*t + 9. Let q be y(4). Let n(s) = -50*s**2 - 11*s. Let b(j) = q*o(j) + 2*n(j). Give b(k(a)).\nAnswer: 250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)*q\/(q*q\/(q*q\/(q*q\/(q*(q\/(q*q\/q**(-2\/3)))\/q*q)*q)*q)*q)*(q*(q\/(q*q**(-2)*q*q))\/q)\/(q\/(q**5*q)) assuming q is positive.\nAnswer: q**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 + 192. Solve -4*r + 0*p - 24 = -3*p, -2*p + w = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 4*u - 65, 0 = -p + 5*u + 10. Let g = 7 - 5. What is the lowest common multiple of (-87)\/p - (-2)\/10 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 912 and 57678195.\nAnswer: 57679107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgxcegm. Give prob of sequence cgp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.88520265 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**3\/3 - 3*c**2\/2 - 4*c + 5. Let a(h) be the first derivative of z(h). Differentiate a(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*479\nAnswer: -1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j + 14*j + 54*j + 12*j = -1638 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13884, 13886, 13888, 13890?\nAnswer: 13892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065790*z + 4752 = -1065898*z for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from ygfdwdf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, -35, -230, -669, -1448?\n\"Answer: -16*x**3 + 22*x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/35 and 14308\/(-8820) + -2*1\/(-3).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -p - w - w, -435 = -4*p + 5*w. Calculate the highest common factor of 35 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*r + 165, -24*a = -20*a - 4*r + 620. Calculate the lowest common multiple of (-1668)\/(-15) + (-120)\/a and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 142*f**2. Let n(m) = -2*m. Give n(u(l)).\nAnswer: -284*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16*r - 36. Calculate t(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18190 + 36383\/2. Factor 3\/4*a**3 + 3*a**2 + c + 15\/4*a.\nAnswer: 3*(a + 1)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-27 - (-38 + 4)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 + -259. Solve 2*u = -a, 3*u + a + 4*a = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/6*-2)\/(19304\/(-14478)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oosyypppopyypppmoyd. Give prob of sequence opso.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001221110 (base 4) in base 7?\nAnswer: -2166630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14280 = 70*u - 19*u. Calculate the highest common divisor of u and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 752, 1406, 2058, 2708?\nAnswer: 3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182*k**2 - 18 wrt k.\nAnswer: 364*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06575 and 29.\nAnswer: 29.06575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t)**(28\/3)\/(t*(t\/(((t\/((t*(t\/t**1)\/t)\/t))\/t)\/t))\/t*t)**27)\/((t**(-8)*t**(-1\/4)\/t)\/(t*(t\/(t*t*t**2))\/t)**(-2\/5)) assuming t is positive.\nAnswer: t**(-2053\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**3 + 6631 - 6631.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51*(-2)\/30)\/(464\/(-4640))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -31. What is the greatest common factor of 275 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 3576 = -38*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (290\/(-4) - 0)*208\/(-520)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*l**2 - 13*l**2 + 34*l**2 + (l + 3*l - l)*(l - 2*l + 0*l) + (-3 + 1 + 0)*(2*l**2 - l**2 + 0*l**2).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*h**2 - 67*h**2 - 2412 - 1644*h - 4*h**3 - 122*h**2 - 209*h**2.\nAnswer: -4*(h + 3)**2*(h + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2239.8 - 2244.8. Which is the second smallest value? (a) -1\/33 (b) -0.04 (c) -1 (d) u (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4744, -9512, -14280, -19048, -23816?\n\"Answer: -4768*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1728, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2063795\/48 < -42997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 4 - (-5 + -15) - -16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10963020.5 to the nearest 100000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 131*j + 116*j.\nAnswer: -15*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*s**5 + 6*s - 5.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -7*q. Suppose q = -f - 4*n + 8, 11*n = -3*f + 7*n + 16. Solve -5*v = -f - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -28260550 in decreasing order.\nAnswer: 5, 2, -28260550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 smaller than -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 - 1438*k**2\/3 + 2271504*k + 2300577120.\nAnswer: -2*(k - 1945)*(k + 1332)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 7*c + 32. Give l(-5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 7. Let r be o(12). Let x = -1279\/46 - -490\/23. What is the smallest value in -6, x, r, -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.3 - -12. Let z = 0 + -3. Let h be z\/(-2)*4\/24. Which is the nearest to 0? (a) h (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6663383 is divided by 2108.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -28*a**2. Let g(z) = -45*z**2. What is t(g(s))?\nAnswer: -56700*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*q**5 - 9932*q**4 - 100548*q**3 - 243092*q**2 - 222848*q - 70656 = 0. What is q?\nAnswer: -16, -1, -69\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab510 + 25?\nAnswer: ab535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 3, y: 8, o: 3, b: 1}. What is prob of picking 1 b, 1 y, and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(4\/192). Let n = t - 14. Let q be 6*1\/n*1. Solve -u - 11 = -q*i, 3*u = -u - 5*i + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 49. Let s(f) = -7*f + 50. Determine 6*l(n) - 5*s(n).\nAnswer: -n + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(sqrt(1944) + -2*sqrt(1944)))\/(3*1*sqrt(1152)*5).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111588694 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 - 6*p + 6. Let d(o) be the third derivative of o**5\/12 + 5*o**4\/24 - 5*o**3\/6 - 143*o**2. What is -6*d(u) - 5*g(u)?\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6*g = -10*g - 12, -33 = -3*t + g. Solve -4*y + f = -0*y - 13, -3*y + t = -3*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 794, 1586, 2380, 3176?\n\"Answer: s**2 + 789*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770826 and 10815?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.86 + 0.26. Let j = -1041 - -1032.4. Let r = m - j. Sort 0, r, -0.1.\nAnswer: -0.1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:28 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408154 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0*c**2 + 20 + 3555*c**3 - 3556*c**3 + 6*c**2. Suppose -t = -3*q + 5*q, -5*t + 15 = 5*q. Let n be o(t). Solve -4*m + n = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 981045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-1 + 0 + 2)*(4*k**3 - 16*k**3 + 11*k**3 + 9).\nAnswer: k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njn when three letters picked without replacement from {n: 2, j: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 12292 = -72*h - 397*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -2*v + 2*u, 217*v - 215*v - 465 = -u. What is the remainder when v is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -749*o**2 + 352*o**2 + 366*o**2 + (-4*o - 2*o + 5*o)*(2*o + o - 2*o) + 2 - 2 - o**2.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 151195960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -9969?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4913*l**3\/3 + 35836*l**2 + 261392*l + 1906624\/3 = 0. Calculate l.\nAnswer: -124\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 4)*(-2 + 4 + 0)*(2*u - 2*u - u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 372 = 22*s - 41*s + 24*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 228 = -43*i. Put -6, i, -3, -1, 5 in increasing order.\nAnswer: i, -6, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6901 and 31\/515.\nAnswer: 34505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24911 - 24911.056324. Round n to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -243*x**5\/4 + 3186*x**4 - 88491*x**3\/4 - 1148889*x**2\/2 + 258447*x - 28830 = 0.\nAnswer: -10, 2\/9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (16 + 0 + -13 - (14 - (2 - -2)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luuu when four letters picked without replacement from {l: 9, u: 6, c: 2}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014337 to 5 decimal places.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 11:28 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/2*g**3 - 21\/2*g**2 + 8*g - 2 = 0 for g.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 8. Let w be k(-4). Let p be 8 + (-14)\/10 + 8\/w. Suppose 6 = p*z - 1. Solve q + z = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/15*12\/32.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16476*o**3 - 7*o**2 + 15*o**2 - 8*o**2.\nAnswer: 16476*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1620 + 1620 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32177530 a multiple of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 17*d**2 + 44*d - 28. Let u be k(14). Suppose s - 5*s + 2*l + 22 = u, -7 = s - 3*l. What is the highest common factor of s and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5936858274 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 5. Let r be m(-8). Let y be (-3)\/9*(-6)\/4. Let h = 1\/6 + y. Which is the closest to -2? (a) r (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*v**4*z + 18*v**3*z + 21065*v*z - v wrt v.\nAnswer: 1380*v**2*z + 108*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, h: 1, n: 1, t: 2, l: 2}. What is prob of picking 1 e and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.38029*-789\nAnswer: 3456.04881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.05 (c) -2 (d) -2\/13 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let h(k) = -22*k**2 - 9. Give x(h(d)).\nAnswer: 22*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17 - 11 - -2001)\/3 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/(-12))\/(2\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143867108?\nAnswer: 2, 3, 19, 5016961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67967*y**2 - 80374 wrt y.\nAnswer: 135934*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m - 64 = 0, -f - 37*m = -36*m + 36. Let b be 2\/(-17) + (2432\/f)\/4. Suppose 0*g = 2*g + 38. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/75)\/(4\/(-54)*(-222)\/(-148))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 6:11 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191276*l + 191276*l - 12*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**5 + 215*n**4 + 2190*n**3 + 4090*n**2 - 15635*n + 9135 = 0.\nAnswer: -29, -9, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1932, -7739, -17410, -30939, -48320?\nAnswer: -69547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030500241 to four dps.\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/5 - 10*q**4\/3 - 56*q**3\/3 - 48*q**2 + 26*q + 11. Factor d(w).\nAnswer: -4*(w + 2)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*q + 144, -3*q - 3*r - 30 + 246 = 0. What is the smallest common multiple of 33 and (-2)\/((-6)\/q*3)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (1\/1 + 1). Suppose 5*c = -2*n - 15, -3*c - 30 = -5*n - 2*c. Let i = -3 + n. Solve f = -d + i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*i - 12, -3*i + 4*h - 3 = -31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 134 (b) 0.143 (c) -1.007 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 minus 6?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = 4*r - 3*o, 3*r + 2*o - o - 663 = 0. Let m = -214 + r. Calculate the highest common divisor of m and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 - 42289472352.\nAnswer: -42289472274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2197 and 400958077?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429 + 19*j**2 - 811 + 377 + 2*j to the form a*j**2 + d + q*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 2*c = 98*b - 159*b - 40, -5*c + 55 = -5*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-87)\/81)\/((-45)\/900*10)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 + -2 + 5. Let n(s) = 2*s - 4. Let v be n(l). Let d be 1\/v - 15\/(-4). Solve 4*f + 26 = 5*b, 3*b + f + 6 = d*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -36. Let q = 144 + w. List the prime factors of q.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and 4692\/4896*9\/(-4)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 15) to base 5\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*s = -80, 2*t = -s + 36 - 13. Solve 2*n - 16 = -t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2653 = 894*g + 7351 + 4242 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-141)\/36 - -4). Solve -z*v + 18 = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -45. Let f = 0.1 - -4.9. Let s = f - 5.4. What is the third smallest value in x, -3, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/8 - 35979*u\/2 + 431496147\/2 = 0.\nAnswer: 23986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:10 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207250 and 280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1935 - -390?\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fwwhfy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*sqrt(76)\/sqrt(4)*6*1*-2.\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**2 + 45*u - 5*u**5 - 3*u**5 + 4*u**4 - 2*u**5 + 9*u**5 - 5*u wrt u?\nAnswer: -60*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 0*f + 0*f. Let t(m) be the third derivative of -4*m**5\/15 + 175*m**2. Give s(t(i)).\nAnswer: 512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from bvbvvvbvvbvrvvrpv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + -8. Let f = -23.018 - l. Round f to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 29*a - 188. What is the tens digit of u(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - g = -46, -3*g - 41 + 11 = -2*w. Let f = -77 + 140. What is the highest common factor of f and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 + 152*j**4 - 12*j**5 - 152*j**4 + 19*j**2 wrt j.\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0.1, -4 in ascending order.\nAnswer: -4, -1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2534*b = -24076 - 82352 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 1131.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -30*h + 7700. Let m = h - -105. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, -2\/9, 2, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 0 - d**2 - 1\/6*d**4 + 0*d**3. Let j(i) = 2*i**2. Give t(j(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -50.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:05 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 9:33 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 105452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -13, 2549, 5, -2\/9, -3\/8, 0.1, -0.16?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a)\/((a*a**(-30)*a)\/a*a))**(-22) assuming a is positive.\nAnswer: a**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let n(d) be the second derivative of 81*d**3 + 69*d + 3. Give u(n(w)).\nAnswer: -236196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -15. Suppose -3*m = 3*c + 15, 8*m + c = 3*m - 29. Is g at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5\/11))**(-4\/23))**(5\/3) assuming l is positive.\nAnswer: l**(-40\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1114*l = 1119*l + 3, 5*k - 3*l + 13 = 0. Which is the biggest value? (a) 5 (b) k (c) -57 (d) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*p - 32, -2*p + 5*p + 12 = 0. Suppose d = -5*l + 2*y - 0, 3*l + 4*y = -4. What is the second smallest value in -53, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 38446*w - 369523729.\nAnswer: -(w - 19223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-3))\/(82\/(-22386)). Calculate the greatest common divisor of l and 312.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**6\/15 + x**5\/15 - 3*x**2\/2 + 9*x. Let c(h) be the first derivative of z(h). Find the third derivative of c(o) wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72531.47l to millilitres.\nAnswer: 72531470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537336?\nAnswer: 2, 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535716619 to the power of 1\/2, to the nearest integer?\nAnswer: 23146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4 = -0, -5*k - 29 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1015433476.6591 + 0.063\nAnswer: 1015433476.7221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 g when four letters picked without replacement from {c: 11, g: 2, o: 7}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q + 50*q + 3762 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16617 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 5*b)*(10*b**2 + 11*b**2 - 19*b**2) + 183 - 183 - 3*b**3 + b**3 - 3*b**3 + 4*b**3 + (-3*b**2 - b**2 + 8*b**2)*(4*b + 3*b - 5*b).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4519389 is divided by 172?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -173 in decreasing order.\nAnswer: 4, 3, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (115 + -70 - 20) + -1 + -1 + 0 + 1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 + 41*d + 3. Give z(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/10 + 99*g**2\/5 - 2743*g\/10.\nAnswer: g*(g - 13)*(g + 211)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (94\/(-8))\/(4*(-2)\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*w = -74*w - 94*w - 9906. Let n(s) = -2*s - 74. Give n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, 10\/19, -0.045 in descending order.\nAnswer: 5, 10\/19, 0, -0.045, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/2)*b**(4\/11)\/b)\/(b**(2\/11)\/b*b)**(-4\/13) assuming b is positive.\nAnswer: b**(-309\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from xxxxbbxxxxxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-30)*(-8)\/(-6). Find g such that 6*g**2 - 7*g**2 - 4*g**2 + 8 + 3*g**b = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1402604242 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25037, -25038, -25039, -25040?\n\"Answer: -x - 25036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 14.00047. What is y rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -5*c**6\/24 - c**5\/3 + 25*c**4\/24 + 10*c**3\/3 + 32*c**2. Factor v(s).\nAnswer: -5*(s - 1)*(s + 1)*(5*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24567*x - 5355 = 24686*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2081*d + 70764. Give s(-34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 33*a**2 + 8*a**3 - 35*a**2 - 1 as l*a + d*a**3 + g*a**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i. Let u(y) be the second derivative of y**5\/10 - 87*y**2\/2 + 66*y - 2. Let n(o) be the first derivative of u(o). Determine n(a(d)).\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + sqrt(833) + 0 - ((sqrt(17) - (1*sqrt(17))**2*-2) + -4))*-3.\nAnswer: -24*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 24*u**2 - u + 4. Let a be l(-24). Solve 3*d + 16 = a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 570*d**2 - 2913*d - 49. What is a(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -41, -161, -407, -821, -1445, -2321?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8380 is divided by 95?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1, -1196?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53 - 6 + 27*g**3 - 39*g**3 - 46*g**3 wrt g.\nAnswer: -174*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p**5 + p**2 + 1\/1344*p**8 - 1\/480*p**6 + 0*p**4 + 0 + 0*p**7 + 0*p + 0*p**3. What is u in j(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12840859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12*-2*((-183)\/610)\/(3\/(-5))*1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ldllllllldll.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -27*v**3 - 7*v**2 - 9*v - 3. Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 47?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7660*y = -7683*y - 322. Sort y, 2, -7.\nAnswer: y, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 29*h + 137. Is h < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/((-18705)\/172))\/((2\/(-1))\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -80*x. Calculate d(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 6*u - 1498 + 285. Calculate the remainder when u is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 + 12)*(4 - 2) + -4. Let o = 80\/111 + -2\/37. Which is the second biggest value? (a) r (b) -7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 182\/63 - (-6)\/(-4)*2. Let i be (-3 + 20\/6)\/((-12)\/45). Sort 4\/7, g, -1, i.\nAnswer: i, -1, g, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/52689 and 2\/1365.\nAnswer: 263445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -1\/90*j**5 + 8\/3*j**3 + 0*j + 0*j**4 - 37 + 0*j**2 - 1\/540*j**6. Let t(q) be the third derivative of s(q). Factor t(w).\nAnswer: -2*w*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in 249, 0.2, -0.1, -0.3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 4*m - 6*m. Let z(k) = 3*k**2. What is b(z(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b\/b**4))**(-15)\/((b*b*b**(4\/9))\/(b\/(b**(-16)*b))))**(-20) assuming b is positive.\nAnswer: b**(2960\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404412 (base 5) to base 14.\nAnswer: 4ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2. Let u(n) be the second derivative of -2*n**3\/3 - 18*n - 1. Calculate u(g(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 432 + 0?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x + 6*x**2 - 6 + 0*x + x**3 + 0*x. Let m be v(-5). Let f be -1 + 32\/14 + m. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a8b (base 12) to base 2\nAnswer: -1000011001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -29*y**2. Let o(n) = 65*n**2. Calculate o(b(g)).\nAnswer: 54665*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19071 and 13221.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 682.75 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k - 115 = 0. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (650\/91 - 6). Suppose -6*i + i + 25 = 0. Suppose 2*w + j = 6, 12 - 35 = -3*w - i*j. Is n less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q + 1. Let p(u) = u**2 - 5*u - 4. Calculate -6*j(g) - p(g).\nAnswer: 5*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 + 5*q**2 + 2*q - 5. Let k(z) = -5*z**3 + 6*z**2 + 3*z - 6. Give 5*k(x) - 6*w(x).\nAnswer: 5*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292224575.\nAnswer: 5, 11688983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2616*n - 4365*n = 103191 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - 3.9. Let g = -5.2 - i. Let v = g + 0.3. Which is greater: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 310. Suppose -a = -5*f - 4*o, 2*f - 4*o - 88 = -2*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (738*(-21)\/((-126)\/1))\/(18\/(-6)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -126250, -126244, -126228, -126196, -126142?\n\"Answer: m**3 - m**2 + 2*m - 126252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*r**2 - 242*k*r + 2*k - 151*r**2 + 2*r wrt r.\nAnswer: -6*k - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142823 is divided by 1414.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 481*w**3 - 286*w**3 - 174*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12373 (base 16) to base 10.\nAnswer: -74611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.044 + -25.044. Let g = s + 28. Let q be (-1)\/(-2) - (1 - 0). What is the second smallest value in -2\/3, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/12 - b**3\/2 - 13*b**2 - 1. Let f(o) = 1. Give -f(y) - u(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73248*p**2 - 695*p - 19?\nAnswer: 146496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 6. What is j(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10351 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*g - 2*g - 24 = 0, 5*q + 2*g + 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 + 4 = 0. Let p be 19 - (-3 + o) - 4. List the prime factors of -56*((-28)\/p - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12*t*t*t*t**7*((t\/t**(-35)*t)\/t)**50 assuming t is positive.\nAnswer: t**1822","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2596 - 412. Calculate the highest common divisor of 48 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 306, 401, 656, 1149, 1958, 3161, 4836?\n\"Answer: 13*d**3 + 2*d**2 - 2*d + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 198\/5 in 2\/9, 0, -0.08, 2\/21, -2.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.76 - -16. Let s = d - -1.96. Let z = s - 2. Is 2 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-7)\/((-98)\/28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/12 - i**4\/8 + 6*i**2. Find the second derivative of f(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -2984\/97?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5474504 divided by -203?\nAnswer: -26968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**4 - a**2 + a - 1. Let x be 336\/(-72) + (-2)\/6. Let r(i) = 6*i**4 + 4*i**3 + 11*i**2 - 11*i - 5. Let z(m) = x*f(m) + r(m). Solve z(k) = 0 for k.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-203)\/87*(-2 - (0 - -1)). Suppose -3*s = -2*p - 8, s + 12*p = q*p - 20. Which is the smallest value? (a) s (b) -3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Let z be o\/(-24)*9\/(-3756). Let y = 93901\/2504 - z. What is the common denominator of -27\/14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-13565770964\nAnswer: -13565770964.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299) + 0)**2*4.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or -92.265?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**4 - 3*p**4 - p**4)*(-19980 + 666 - 2525) in the form b*p**2 + r*p + y*p**3 + z*p**4 + h and give z.\nAnswer: 43678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -7*s**6\/60 + s**5\/10 + 6*s**2 - 6*s + 16. Let l(w) be the first derivative of m(w). Find g such that l(g) = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 3*k**2 + 6*k**2 - 16*k + 3*k**2.\nAnswer: 13*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w**2 + 46*w**2 + 92*w**2)*(114*w**2 + 121 - 121).\nAnswer: 14706*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.489533 decades?\nAnswer: 538.74396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**3 - 6*s**2 - 12*s - 1069. Let f(h) = -26*h**3 - 11*h**2 - 22*h - 2137. What is -6*f(m) + 11*l(m)?\nAnswer: 2*m**3 + 1063","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m - 2. Let a(j) = j**2 + 5*j + 359. Let k be a(0). Let o = k - 356. Give q(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(720)*1)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 16848258?\nAnswer: 16848259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -t - 0, 2*b - 4 = 0. Let y(p) = -p**2 + 127. Is y(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h - 5*h**2 - 2*h)*(-130*h**2 + 3*h + 247*h**2 - 3 - 123*h**2).\nAnswer: 12*h**4 + 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 756\/1890*2\/8*2. Solve -11\/10*l**3 - 21\/10 - a*l**4 + 23\/10*l**2 + 11\/10*l = 0.\nAnswer: -7, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -542*r. Let p(t) be the third derivative of -t**4\/12 - t**2 + 303*t. Determine p(x(i)).\nAnswer: 1084*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffjjifxmjf. What is prob of sequence jifm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgx when three letters picked without replacement from {g: 2, d: 6, x: 1, h: 5, t: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 52*t**2 + 100*t + 3. Let s be g(50). Solve -6*k = -s*k - 5*m + 37, 14 = -k + 2*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1356 and 62715?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (-9 + (1 - -5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 893322.6 nanometers?\nAnswer: 0.08933226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2653.50384 and 4?\nAnswer: 10614.01536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, e: 2, s: 2}. Give prob of picking 2 e and 1 t.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/84*(-2)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 4080*g**2 + 251312*g - 518976.\nAnswer: 4*(g - 2)*(g + 68)*(g + 954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqiccqqquicuuquu. Give prob of sequence ck.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1118 + -898. Solve 0 = -29*q + 75 - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 12*o**2 + 204*o + 1399. Give j(-7).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3912.\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (3 + -2 - 3). Let s = u + -13\/2. Sort -2, 1\/2, s in descending order.\nAnswer: s, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from jjjjdjdd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -152*f + 4177. What is r(27)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlllllllqll. What is prob of picking 2 q and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000011010 + -1111?\nAnswer: 11000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -94. Let w = 149 - k. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1208\/9 less than or equal to -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let z(l) = 6*l + 0*l + 3*l - 3*l. Let b(v) = v. Let h(j) = -30*b(j) + 4*z(j). What is i(h(w))?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/49? (a) -0.4 (b) 4\/5 (c) -3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -414.4 from -3986143.\nAnswer: -3985728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**3 - 54*n**2 - 34*n + 3. Let y(a) = -5*a**3 - 28*a**2 - 21*a + 1. Let k(v) = -6*l(v) + 11*y(v). What is k(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2623217 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 8613?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.332 + 0.168. Let h = 2 + -2.2. Put s, h, 1 in decreasing order.\nAnswer: 1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -42.49.\nAnswer: 42.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/335214 and -49\/91422?\nAnswer: 1005642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-180)*2\/(-3)*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -16, 24, 100, 224, 408, 664, 1004?\n\"Answer: 2*m**3 + 2*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-11 - 14 + 3)*(2*q + 4*q - 4*q)*(2 - 3 - 1).\nAnswer: -264*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589953 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -75*x - 83*x. Solve -2*o + x = f, 0 = o - 3 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24+1.4\nAnswer: 25.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55278351271685\/15188 + -3639606975. Let r = z - 2\/3797. Let h = r + -35. Which is the nearest to 0? (a) 0.1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 5*c + 1. Let n be t(-6). What is the greatest common factor of n and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281\/30 - -19\/2. Let g(m) = -2 - 9*m**2 - 5*m + 20*m**2 - 10*m**2. Let q be g(6). What is the nearest to -1 in l, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 - 2)*(-19 + 8 + 15)*(0*q**2 + 0*q**2 + q**5).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (88\/(-28))\/(1\/(-7)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-2)\/5)\/1. Let u = -0.2 - -0.1. What is the closest to 2 in 1, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -140 + 1 + -4 + 5. Let y be q\/(-45) + (-3)\/1. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by (-15)\/(-6)*168\/(-140) - -170.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175 divided by 15?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4 - 2)*(-115005558*m**2 + 115005558*m**2 - 5331*m**3 + m**4).\nAnswer: 2*m**4 - 10662*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 48*m**2 - 58*m - 40. List the prime factors of i(-17).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihkj when four letters picked without replacement from {j: 4, l: 4, h: 1, i: 6, k: 2}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(392) - (sqrt(392)*2 - sqrt(392))))\/(sqrt(12)\/(-2*sqrt(192) + sqrt(192))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4 and (12\/592)\/(37\/((-5)\/(25\/220)))?\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 63 = 2*v. Let g be v\/(6\/(-10) - 26\/(-60)). Is (-2452)\/g*6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*b - 758*b - 931*b.\nAnswer: -2259*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/4 - 2*m**3\/3 - 5*m**2 - 1004*m. Determine g(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) -0.49 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 22*n**2 + 90*n - 17. Give x(-26).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 286059.\nAnswer: 286059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 4*a**2 + 10*a - 12. Let p be t(10). Does 30 divide (1\/(-2))\/(4\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6222*v + 26*v**4 - 29*v**4 - 6211*v + 2 - 3*v**2 as u*v + n*v**2 + x + g*v**3 + i*v**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253 + -254. Let i = 13209\/4 - 3323. Let l = i - -21. Sort l, d, -0.2 in increasing order.\nAnswer: d, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*m + 28 = 0, 5*m = -160*o + 156*o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107253 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -14 + 2 + 1 - (-11 + -18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -153 + 40 + 12*v + 29 + 23 + 23. What is the remainder when o(50) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120222311 (base 4) to base 8\nAnswer: 305265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 341, 5, 13 in ascending order.\nAnswer: -4, 5, 13, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 10978928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863381 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/18)\/((1\/(-5))\/(339\/(-5650))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2356455953.\nAnswer: 3329, 707857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + 14 - 9) + 114 + 11 + -2?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033854 to seven decimal places.\nAnswer: 0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2605*i - 279. Let t(p) = -p. What is m(t(g))?\nAnswer: -2605*g - 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 - 9224*r - 18440 = 0 for r.\nAnswer: -4610, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 59\/5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose -4*b = -t*b. Is 2 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 33*z**3 - 99*z**2 + 79*z - 18 = 0. Calculate z.\nAnswer: -9, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4 - 2*t + 4)*(-2*t**2 + t**3 + 2*t**2) + 2*t**2 - 2*t**2 - 2*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21239 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 65 = -4*p - 61, -3*p + 5*m - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Suppose -g*d + 2 = -3*d. Solve -2 = -d*z, -l - 19 = 3*l + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1571 + 2511?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:29 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 9 - (9 - (-10 - -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**4*b*b**1*b\/b**(1\/3)*b**6*(b**(1\/3))**(-26)\/(b*b**(-1)*b**(-2\/7)) assuming b is positive.\nAnswer: b**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 32. Let t = -52 + 59. Suppose 61 - t = 4*s - 5*d, 5*s = 2*d + 76. Calculate the remainder when y is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.98057 to 1 dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/5, 4\/49, 4, -49?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 7 = r. Let x = 11 - r. Suppose 28 + 8 = x*w. Solve -1 + w = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**3 - 56745285*w**2 - 67083896442906*w + 16770977657307.\nAnswer: -3*(w + 2364387)**2*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957.34km in meters?\nAnswer: 6957340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 49. 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: Let t be 1\/(-2) + (-26)\/(-4). Let b be (-4)\/t - 8\/6. Let y(i) = i**2 + 3*i + 3. Let f be y(b). Solve f = -z - 2, -3*n + 24 = -4*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 + 17*a**2 - 4*a + 4. Let k(u) = -12*u**3 + 34*u**2 - 7*u + 7. Let i(o) = 4*k(o) - 7*r(o). What is the third derivative of i(y) wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**4 - 416*z**3 + 7*z - 68 wrt z.\nAnswer: 24*z**2 - 2496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603324 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*f**2 - f**5 + 28*f**2 - 69*f**2 + (4*f**5 - 2*f**5 - f**5)*(2 - 1 - 3) - f**2 + f**5 + f**2.\nAnswer: -2*f**5 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**2 + 4*r + 24. Let v(l) = -7*l**2 + 3*l + 18. Let n(d) = -3*g(d) + 4*v(d). Let k(q) = -542*q**2. What is n(k(j))?\nAnswer: -1175056*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)\/(l**32\/l)*l\/((l\/(l\/(l**32\/l)*l))\/l*l*l)*l*l\/(l\/(l*l**1))*l assuming l is positive.\nAnswer: l**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*m = -24, -m = 4*y + 2 + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286456 divided by -2143228?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 516 + -304. Let s = v + -212. Solve s*t + 2 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/52 or -50?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o. Let c(j) = 2*j. Let m(h) = -13*c(h) - 6*w(h). Let z(g) be the second derivative of -23*g**3\/6 + 4*g. Calculate m(z(q)).\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248*b**4 - 264 + 27 + 1563*b**4 - 2701 wrt b?\nAnswer: 7244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6 + 1)\/((-189)\/567). Let q = 6.14 + -0.14. Which is the biggest value? (a) 1\/6 (b) l (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23434239137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 437061438 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d**3 + d**2 - 2*d**2 + 24*d**3 + 1 to a*d**3 + h*d**2 + b*d + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*c - 12*c - 426 - 69 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from {z: 4, o: 8, g: 4, k: 3}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*l + 225 = 0, -4*v - l - 10 = -190. Suppose 5*c = 2*j - 75, j - 7*c = -3*c + v. Let k = j - 14. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4751766, -9503524, -14255282, -19007040?\n\"Answer: -4751758*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i - 4*k + 35 = -65*i, 5*i = 4*k - 69 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/33 and 21\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 70*k + 60 = -75*k, -4*k + 575 = -17*x - 0*k for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311.5 + -417. Let l = -105 - n. Which is the closest to 1\/2? (a) 2\/13 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*x + 440, 2*x - 82 = -5*q + 976. Let u = 671 - q. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b. Let c be g(3). Suppose -3 = -4*z + 5, 2*z - c = -4*q. Solve 0 = -5*j + 15, 2 = -q*p + 5*j + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 473, 1034, 1811, 2804, 4013, 5438?\n\"Answer: 108*i**2 + 21*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47579.264 rounded to the nearest 100?\nAnswer: 47600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**39\/(m**13\/m) assuming m is positive.\nAnswer: m**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 34*f - 7. Let c(x) = 69*x - 15. Let h(k) = 5*b(k) - 2*c(k). Does 20 divide h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 - 3214*r**4 - 1379516*r**3 - 70896868*r**2 - 937971650*r + 1010251250 = 0. What is r?\nAnswer: -775, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11.872889 or -1\/3?\nAnswer: 11.872889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002843391145 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 6. Let f be (4\/(-5) - -1) + 84\/105. Let w be 5*(q + 0 - f). Solve 0 = 4*v + r + 7, -5*v - w*r = -3*r + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*k**2 - 1)*(-2*k + 2*k + 2*k)*(-k - k + 4*k).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:40 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 1.0415335.\nAnswer: -0.072907345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 44028264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/7 (c) -143 (d) 4 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -679 != 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -116.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x. Let t(g) be the second derivative of g**3\/3 - 11*g. What is i(t(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/56 - 22\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n + 369*n - 107*n to w*n + h and give w.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12317*o**2*s**2 - 3*o**2*s - 4*o*s**2 + 1237*o - 3*s**2 wrt o?\nAnswer: -24634*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 207855818 to the nearest ten thousand.\nAnswer: 207860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/4735, -0.19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(720)*2 + 5)*5 + -3)**2.\nAnswer: 15840*sqrt(5) + 648484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262141 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-588)\/170. Let b = -52\/17 + l. Let p = 8\/5 - b. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 6 (c) 5587 (d) -71 (e) 0 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(-28) - 6 - (756\/84 - (-33)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -129. Let o = -109 - b. Let t(w) be the third derivative of w**5\/60 - 7*w**4\/24 + w**3 - w**2. Give t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -15, 7*f + 40 = 12*f - 5*x. Solve 4*v - 4*s = 20, -1 = v + f*s + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 1188 = -1194 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*g + 14, 5*t + 25 = 10*g - 5*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 9 + 1 - 12) + 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1078946*z**2 - 4*z + 993235.\nAnswer: 2157892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602, -1213, -1824?\nAnswer: -2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5817 meters in millimeters?\nAnswer: 27581.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*1*sqrt(125) + -3.\nAnswer: -5*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2357152 by 34664.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278566 is divided by 287.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let b(k) = 45331*k. What is b(m(t))?\nAnswer: 90662*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471894.\nAnswer: 2, 3, 78649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s. Let p(h) = 549*h - 66. Let r(l) = 11. Let b(v) = -2*p(v) - 12*r(v). Give m(b(y)).\nAnswer: -7686*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 + 3*j**2)*(-1 - 2*j + 1) - 9*j**3 - 76*j**3 - 36*j**3.\nAnswer: -119*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -4*l**4\/5 + 28*l**3\/3 - 62*l**2\/5 - 50. Solve p(x) = 0 for x.\nAnswer: 0, 1, 31\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2833184, 5666366, 8499548?\n\"Answer: 2833182*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4080 and -59\/12386.\nAnswer: 25267440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438301 is divided by 9739?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368037 is divided by 247.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 0*t + 103 + 4*t - 53.\nAnswer: 4*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 2. Let d be q(0). Let r(h) = -3 - h - d - 3*h + 14. Let w(f) = -11*f + 27. Let k(z) = -8*r(z) + 3*w(z). Calculate k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-126 + 126 - 49*g)*(g - 2 + 2) to a*g + p*g**2 + o and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**2*l)))\/(l*l**(-1\/9)*l)*l**(-3)\/(l*l\/(l**(2\/17)*l)))**(1\/6))**(-1) assuming l is positive.\nAnswer: l**(212\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -996701\nAnswer: 3\/996701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjrc when four letters picked without replacement from {r: 2, j: 6, c: 2, b: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75216?\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -184841.578 rounded to the nearest 1000?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1349 in 0.5, -3\/2, 3369?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 81, 43, 5, -33, -71?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233132 + -21?\nAnswer: -2233213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/66 + 5\/33. Let i(n) be the second derivative of 0*n**4 + 1\/20*n**5 + 3\/2*n**2 + 0 + g*n**3 - 3*n. Calculate i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -253878, -253850, -253810, -253752, -253670, -253558?\n\"Answer: d**3 + 21*d - 253900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 800 = 0. Suppose l = 5*z + 5*a, 4*a - 88 = z - 3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:21 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/((-9)\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**3 + 16*f**3 + 273*f - 16*f**3 + 15*f**3 + f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k**3*v - 5*k**3 + 436*k*v**3 + 213 wrt v?\nAnswer: -4*k**3 + 1308*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 11. Suppose -2*r + 28 + 36 = 0. Let x = r + s. Calculate the remainder when 42 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.75279*-0.2.\nAnswer: 0.350558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5574015*f**3 + 2788069*f**3 + 2785943*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 11*f**2 + 9*f - 97. Calculate s(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*r = 6*g + 9, r + 11 = 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 3. Let n be s(-1). Let l be 1\/((-3)\/n) - -2. Let u = 1993 + -1963. Which is the third biggest value? (a) 2 (b) u (c) -1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 370028, 368542, 367056, 365570, 364084, 362598?\n\"Answer: -1486*y + 371514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 20. Differentiate -4 + 2 + p - 4*c**2 + 2 wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70062 and 67188.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -2941*z**6\/10 - z**4\/4 - 11*z**3\/3 - 31*z**2\/2 + 2*z + 5. What is the third derivative of f(s) wrt s?\nAnswer: -211752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.888973l to millilitres.\nAnswer: 7888.973","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is 65862 divided by 10977?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {j: 1, y: 1, w: 1, o: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000380578346 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v**3 + 7*v**2 - 42*v + 6. Let x(d) = 22*d**3 + 10*d**2 - 40*d + 4. Let t(y) = 2*b(y) - 3*x(y). Factor t(j).\nAnswer: -4*j*(j - 1)*(5*j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 69. Suppose p = 6*p, 0 = 2*t + 5*p - 112. Let n = t + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -38. Let q = f - 14. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7838, -31402, -70676, -125660, -196354, -282758, -384872?\nAnswer: -502696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = h + d, 49 = 5*h + 2*d - 245. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -4 (c) 4 (d) -45\/7 (e) -2\/7 (f) -0.09 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**5\/30 - 17*v**2\/2 + 9. Let r(q) be the second derivative of p(q). Let w(c) = -42*c + 21*c + 11*c. Determine r(w(n)).\nAnswer: -200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(-q**2 + q**2 - 2*q**3) + (-25 + 2 - 15)*(-2*q**2 + 2*q**2 + q**3 + 2) in the form d*q**3 + f*q + v + b*q**2 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112112110 (base 3) in base 6?\nAnswer: 352103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n - 45. What is the least common multiple of j(4) and 71?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16983.18869 + -2385\nAnswer: 14598.18869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 60. Suppose 4*u = -5*t + 289, -7 + 255 = b*t - u. Suppose -4*l - 2*k = -426, -2*k + 258 = 3*l - t. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981 is divided by 982.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -13c?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50808 and 419750?\nAnswer: 146073000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4 - 7*b**3 - 40*b**2 - 758*b + 36158628?\nAnswer: 4*b**3 - 21*b**2 - 80*b - 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 2 z when four letters picked without replacement from zemzokz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*c - 26, -5*h + 2*c - 155 + 163 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/181, 0.9, 5, -1?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2587 - -3628. List the prime factors of i.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 4, 69, 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2043 * -21.\nAnswer: 42903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*r - 342*r - 54*r + (0 - 4 + 3)*(2*r + 2*r - 6*r))*(2 - 2 - 5)*(r - r - r).\nAnswer: -2710*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146995 divided by -421.\nAnswer: 146995\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117231562*y**3 - 29*y - 816813 wrt y?\nAnswer: -703389372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1854902\/120 + 360\/288. Let g = 15463 - o. Find the common denominator of 62\/15 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*(-7 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqoygbygybqqgb. Give prob of sequence by.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1115)\/(-20) - (-1)\/4. Let z = -34 + l. What is the highest common factor of 176 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 127\/(-2))\/((-9)\/(-864)*24). Calculate the highest common divisor of o and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose -3*n - 23 = -2*g - s*n, n = 5. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11023 - -166?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 6, 799, 2 in ascending order.\nAnswer: 2, 6, 97, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 16*z - 5. Let n = 17 - 14. Let w = 5 + n. Is g(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 2, u: 1, y: 6, v: 2}. What is prob of sequence vyvy?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4821877433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18983 = 12*g + 4*g - 55753. What is the greatest common factor of g and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 18.3, -18600?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -5 (c) 1\/6 (d) 4 (e) 11483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + (-37 - -4))*30\/(-12) is divided by 23 + (-1 - 0\/3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1191 and 53\/27.\nAnswer: 10719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59058 and 2516334?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 10:07 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.4 - 1.4. Let r = -29.8 + x. Round r to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/925 and -17\/275?\nAnswer: 10175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 29. Let b = u + 22. Suppose 4*m - b = -31. Which is greater: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2 = 0. Suppose 55 - 216 = -7*a. Put 0, q, a, -2 in decreasing order.\nAnswer: a, 0, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640578.3t in grams?\nAnswer: 640578300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/20 - b**3 - b**2. Let r(n) be the third derivative of n**5\/60 - 8251*n**2. What is v(r(g))?\nAnswer: -3*g**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3513 - 77309\/22. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/861 + 37613\/1722. Let x = q + -37\/2. Solve -5\/3*c**2 - 5*c - x = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 k, and 1 c when four letters picked without replacement from {c: 6, y: 4, k: 1, d: 3, w: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.4 - -9. Let q = 11 - 9. Which is the closest to 0? (a) k (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2090, -1975, -1860, -1745, -1630, -1515?\n\"Answer: 115*b - 2205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**2\/2 + 10*f - 6. Let m be z(-7). Suppose -16 = -m*q + 2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 574\/3. Factor -f*l + 0 + 4\/3*l**3 + 0*l**2.\nAnswer: 4*l*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2*a**(-6)*a**(-1)*a*a**(-1\/14)*a*a**(1\/5)*a*(a\/(a\/(a\/((((a**(2\/9)\/a)\/a)\/a)\/a*a)*a)))\/a*a*a**(5\/2)*a**(-1) assuming a is positive.\nAnswer: a**(1388\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + c**2 + 1)*(3869*c + 10212*c - 10191*c) as r*c**2 + z*c**3 + x + y*c and give z.\nAnswer: 3890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457201 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 39. Let p be h(-6). Suppose 21*g = p*g - 6. Sort -6, g, 3, -2 in descending order.\nAnswer: 3, g, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 12100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c**2*l + 5452*c**2 + 2*c*l - 43*c + l + 2357008 wrt c.\nAnswer: -10*c*l + 10904*c + 2*l - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**7\/30 + q**5\/60 + 5*q**2\/2 - 9. Let j(h) be the second derivative of z(h). What is the third derivative of j(l) wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-15)*408\/476.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/318 and -37\/636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 5, q: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.1 - -14.5. Let d = -25.483 - l. Round d to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 1500*z**4 + 29528*z**3 - 76272*z**2 - 934560*z = 0 for z.\nAnswer: -354, -22, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 1009*c + 339. Determine i(0).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46016 and 857744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4190?\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/60 + 1312*i**2. Let l(q) = 10058*q**2. Give l(g(u)).\nAnswer: 10058*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1023 and 2604.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1185480 divided by -445\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161 = 2*o - 11*o. Suppose -6*a = 37*a + o. What is the smallest value in 0.1, 2\/9, -2\/19, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38 and 37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -43582*p + 4*p**2 + 43582*p. Let g(f) = -1 + 1 + 3*f. Give g(b(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244635?\nAnswer: 5, 7, 43, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*i + 7, 8*y + 4*i = 4*y + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5*r\/r**(4\/11)*r*r**0\/((r**(2\/3)\/r)\/r) assuming r is positive.\nAnswer: r**(263\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(342) - (((-2*sqrt(342) - sqrt(342) - sqrt(342)) + sqrt(342))*2 + sqrt(342)))\/sqrt(6))\/(5*sqrt(1728)*3).\nAnswer: -sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/135)\/((-1)\/(-15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 0*g + 24 - 5*g. Let p be j(-10). Suppose -5*b + 12*b - p = 0. Put b, 1, 3\/5, 6 in decreasing order.\nAnswer: 6, b, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(2205) + 1 + sqrt(2205) + 0)*2)**2 + -4 + -1.\nAnswer: 15120*sqrt(5) + 318415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u**2 + 419*u - 33. Determine s(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 165*k. What is the closest to -1 in 3.3, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71207454 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybtbr. What is prob of sequence tb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 939\/5 - 189. Let d be -2 + -5*(-4)\/10. Is d at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 864 = 4*c. What are the prime factors of (2\/3)\/((-8)\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d8 + 2bbd?\nAnswer: 2ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 260 = v. Let g = v + -82. Suppose -2*b + 4*t + 44 = t, 2*b = 2*t + g. Solve -4*p - b = 2*i, 0 = 2*p - p - 2*i - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 62*b**2 + 3. Let t be x(-31). Suppose -u - 4 = l, 3*u + 24 = -t*l + 6*u. What are the prime factors of 10\/((-120)\/(-908)) - 2\/l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 0.2 (c) -3\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48230 divided by 24115.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481593 is divided by 1582?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) + (-4)\/(-10). What is the second smallest value in 1, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 3*q + 6. Let t be x(6). Suppose 0 = 3*w + 3*k - 24, 4*w - 3*k + k = 14. Suppose -t = 2*r - w*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 + 4*t + 7. Let b be j(-6). Let o = b - -48. Let p = o + -38. Is -6 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from {d: 4, s: 1, h: 1, f: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1802 and 7463.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606591, 1212754, 1818917?\nAnswer: 2425080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + 12*x**2 + 12*x**2 - 34*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**2 - 2*d**2 + 16*d**2 + 4*d**2. Let m(n) be the first derivative of 3*n**2\/2 - 41. What is i(m(j))?\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17624163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 4*f**3 + 4*f**3 - 773*f**4 + 1773*f - 1770*f wrt f?\nAnswer: -9276*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 13*x**2 + 2*x - 20. Calculate the remainder when 4 is divided by v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r**2 - r - 1. Let a = -11 + 20. Suppose -5*d = 3*o + 22, 0*d - a = -4*o + d. Let w(l) = -4*l**3 + 4*l**2 - 3*l - 3. What is o*w(x) - 3*y(x)?\nAnswer: -x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2757, 2771, 2785, 2799?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5982601 years?\nAnswer: 0.005982601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 723723, 1447448, 2171171, 2894892?\nAnswer: 3618611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/s**12)\/((s**(-1\/3)\/s)\/(s\/s**(-3))) assuming s is positive.\nAnswer: s**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6*h - 630 = 0. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43521.13 - 43329. Let s = a + -193. Let l = s - -1. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.64\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from ssuuuuusssuuuuuu.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -738 - -533. Let x = f - -409\/2. Sort 0.5, 0.2, 1\/7, x in descending order.\nAnswer: 0.5, 0.2, 1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 - 6*m**2 - 8*m + 1. Let o be 600\/105 - 4\/(-14). Let j be (-8)\/(-4) - (-1 + -2). Let d(f) = 4*f**3 + 5*f**2 + 7*f - 1. Give j*s(v) + o*d(v).\nAnswer: -v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 2*w + 616. Let r = w - 31. Calculate the remainder when 183 is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 13*y**3 - 7*y**3 - 49*y**3.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 14*q = -9 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 5*t + 5. Let p be x(5). Let q be (-28)\/((-35)\/p) - 7. Is q bigger than -12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -34. Let j = r - 15.131. Let a = 0.13173 + j. What is a rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-14))\/((-15)\/(-8295)). Let n = s - 119. What is the remainder when n is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:13 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 41*a - 1115. Does 40 divide k(53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*275\/(-2640)*-18*11\/10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6, m: 8, d: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 1. Let k be d(-1). Suppose -4 = 2*a - s, 5*s - 4*s = -2*a - 4. Sort 2, k, a in decreasing order.\nAnswer: k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + 3*q**2 + 2*q**2)*(8 + 1 + 0) in the form k + l*q**2 + s*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*o - 16, -o - 7 = 5*z - 45. Let g = z - 3. Solve 0 = 7*q - 2*q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9246 minus -85715.1?\nAnswer: 85714.1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800163917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 - 12*n. Let g(r) = -9*r + 8*r - 2 - r**3 + 4*r**2 + 8 + 3. Let k be g(4). What is the lowest common multiple of 45 and i(k)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - x + 3*z - 7*z - 34, 9 = -5*z - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/120 + o**5\/10 - 5*o**3\/6 + o**2 + 3. Let b(d) be the second derivative of x(d). Does 10 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -476, -1037, -1820, -2825, -4052, -5501?\nAnswer: -7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 - f. Let h(k) = -72*k**3 - 3*k**2 + 5*k - 2. Calculate -h(i) - 6*z(i).\nAnswer: 78*i**3 - 9*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/143080 and -31\/882.\nAnswer: 1287720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v - x + 45 - 85, 0 = -v - x - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose 0 = -3*o - 2*o + 2*g + 62, -52 = -4*o + g. Suppose -n = -2*d - o, q*n = -4*d + 2*d + 58. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2 - 285*k + 797. Give n(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 148888 + 148888.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 20 - 4*o**2 + 26*o**2 as n*o**2 + s + u*o and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33726 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761*l + 1764*l - 4*k = -25, 0 = -5*k + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -1?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d + 67*d**2 - 67*d**2 - 67*d**3 - d - 2 wrt d?\nAnswer: -402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6311034 and -73\/88020.\nAnswer: 63110340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-459 - -2)*(-2 - -1)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 - 5. Let t(w) = -w**3 + 6*w**2 - 6. Suppose 33 = 5*s - 2*z - 2*z, -4 = 2*z. What is s*t(x) - 6*u(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7269645 micrograms in milligrams?\nAnswer: 0.0007269645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 + 22 = 0. Let b = l - -39. What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -375, -796, -1373?\n\"Answer: -78*o**2 - 31*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12836394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 4*g - 2*f, -g + 2 = -2*f. Let p be 2 + 0\/(2\/g). What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*l**2 - 12*j*l - 2*j*r - 6*j + 145*l**2*r + 2*l**2 wrt l.\nAnswer: -4*j + 290*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7639951.\nAnswer: 11, 694541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -31. Let c = g + -9.1. Let o = c - -1.1. Is -1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63010, 62998, 62984, 62968, 62950, 62930?\n\"Answer: -x**2 - 9*x + 63020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 1003?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -100.895. Let r = 2.865 - f. Let s = 2 + r. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*o + 3 = 1, 0 = 5*d + 3*o - 47. Let v = 11 - d. Suppose -v*g = -0*g - 12. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312056, -1248071, -2808040, -4991963, -7799840, -11231671?\nAnswer: -15287456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 161.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 0. Suppose -258 = -g*y + 3*y + 3*l, 2*l + 257 = 3*y. Suppose 6*a - a = y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/7)\/((-201)\/469))\/((-3)\/(-4))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125990978 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:45 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:56 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1138.12 times -2\nAnswer: 2276.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -298*u**3 - u**2 - u + 1. Let b be f(1). Let y = b - -315. What is the lowest common multiple of 4 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, x: 1, t: 8}. Give prob of sequence ex.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304938 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 96, 199, 352, 561?\n\"Answer: n**3 + 16*n**2 + 4*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241670 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-758736)\/(-21) + 1 - 186\/651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/6601 and -47\/1610?\nAnswer: 66010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 20, -5 in decreasing order.\nAnswer: 20, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j - 25. Let a be 13\/26*-20 - -8. Let p = a - j. Solve p + 1 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - 8*h + 5. Let d(j) = 3*j**2 + 24*j + 41. Suppose -115*u + 148*u = -66. Let r be d(u). Determine f(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -j + 5*j. Let s be 130\/j + (-4)\/18. Let o = 11 - s. Let b(d) = d**3 - 4*d**2 - 2*d + 3. What is b(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -257?\nAnswer: -15\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + 780\/36. Let n = l + -11. Solve -4*s = -8*s - 3*y - n, -s = 3*y + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.06, -0.5 in increasing order.\nAnswer: -0.5, 0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + q = 0, -5*c - 2*q + 4 = -2*c. Solve 1 - 21 = c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 1 + (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.5, 3, 1, 4, -17006?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a gram in milligrams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583013387.\nAnswer: 3, 23, 22942223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2560\/(-336))\/(4\/(-6))*(-77)\/11\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 24 = -4*y, 4*y = -y - 3*t - 27. Let m = y - -7. Let x(w) = -w**3 + 5*w**2 - 3*w. Let l be x(4). Solve 0 = -m*d + l - 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 31 (b) 0.04 (c) 3 (d) 461 (e) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2786964\/13 or 214382?\nAnswer: 214382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*g - 5 = 0, -n - 4*g - 8 - 17 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2)\/8)\/((-168)\/15120))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -55*c - 695. What is the least common multiple of d(-17) and 216?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.46 - 7.34. Let l = 7.757 + r. What is l rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -790*a - 107. Let o be i(-1). Which is greater: o or 4103\/6?\nAnswer: 4103\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*d + 184*d + 0 - 106*d + 2 to the form y*d + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6489, -6488, -6485, -6480?\nAnswer: -6473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 14\/((-112)\/92360). Is -11556 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 - 5*c. Let w(m) = 7*m**2 + 9*m - 1. Calculate 5*f(h) + 3*w(h).\nAnswer: h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/14 + -6 + -254 + 266)\/(2*-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37650\/(-523335))\/(5\/(-1)).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 176 - 2*j**2 - 176 + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2363 * -0.2.\nAnswer: 472.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4262522 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/400680 and 139\/54.\nAnswer: 400680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 + 14*z + 6. Let s be o(-7). Suppose 2*g + 2*g - s = 0. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n - 2. Let c be g(0). Let k = 1340.5 - 1341. Sort c, 5\/7, k in ascending order.\nAnswer: c, k, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w + 2. Calculate m(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 968527.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3466, -3467, -3468?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*d + 104 = -229*d - 1146 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -3103 (c) -5\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1579 + 806 + 773 - 818*d - 31282*d as y*d + n and give y.\nAnswer: -32100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4149, 4200, 4281, 4392, 4533?\n\"Answer: 15*o**2 + 6*o + 4128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302225 is divided by 12402.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1 + 9426*s**3 - 1 + 2 + 4*s**2 - 4707*s**3 + 2*s - 4718*s**3. Let y(t) = t + 2. Let x be y(-6). Give f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1300) + 5*sqrt(1300)*-4)*-3 - (-5*-4*sqrt(1300)*2 + -1))**2.\nAnswer: 1360*sqrt(13) + 375716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -12. Let w be c\/(3*(-1)\/12). Solve h = -h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (241*t - 55*t - 95*t - 82*t)*(-2*t + 3*t + t) to k*t**2 + x + c*t and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3\/(-21))\/((-17)\/833) and (-102)\/(-4) + 6\/(-12).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -13*u**9\/56 + u**5\/30 - 3*u**4\/4 + 158*u**2. What is the third derivative of d(o) wrt o?\nAnswer: -14040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4158 - -4154. Which is the second smallest value? (a) 5 (b) d (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n - 642 = 71*n. Calculate the remainder when n is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1590916l in millilitres?\nAnswer: 159.0916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*162\/24*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -26*r**3 - 10*r + 9. Let c(a) = 31*a**3 - a**2 + 11*a - 10. Let b(d) = -5*c(d) - 6*s(d). What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 211?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 173. Suppose -13*d + 50 + s = 0. Sort 0, d, 5, 3 in descending order.\nAnswer: d, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 20 - (1 + (2 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/5 + 924903\/1340680 and -67\/36.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010110 + -10?\nAnswer: 11010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10.3. Let w = -22 - -18. What is the closest to -0.1 in -2\/3, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 11*w + 2*q = 1, -4*w + 4*q = 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:18 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -12\/28151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2060\/1957)\/(8\/76).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/15 + 0)*10. Let a be (-1)\/(-3) + g\/(-3). Let y = a + 3. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -36. Let w = r - -7. Suppose 0 = -4*y + 18 + 26. Calculate the remainder when w is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 + 155. Which is the second smallest value? (a) -4 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -1, 1\/4, 21.\nAnswer: -1, -0.5, 1\/4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(2) + sqrt(2) - -1*sqrt(2)*-3)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 673935 or 673933?\nAnswer: 673935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -3, 28 in descending order.\nAnswer: 28, 6, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**3 - 210956*v**2 + 210952*v = 0.\nAnswer: 0, 1, 52738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -22. Let t = -12 - o. Let n = t + -11.9. Which is the closest to -2\/3? (a) n (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-971)\/(-2) - -5)*2. Is (-1162)\/(-7)*4\/((-40)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -30*u + 25*u - 547309, -4*w - 3*u + 1094579 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from orrroorr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 656 + -439. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -1705, -3892, -6997, -11038?\nAnswer: -16033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 35*q**2 - 19*q + 23. Let j be r(18). Let y(z) = -3*z**3 + 5*z**2 - 5. Let m(d) = d**3 - d**2 + 1. Calculate j*m(x) + y(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -115?\nAnswer: 114.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:51 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14709159 to the nearest integer?\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13417 + -13283?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4381 - (1*2*55\/110 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791710299 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let h = 35 + -33. Suppose -5*z = -3*x - 22, 2*x = -x + z - h. Let v(b) = 19*b - 1 + b + x. What is p(v(f))?\nAnswer: -400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w + 1131 = -195*w + 11706. Solve w = 29*p - 70 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-28)\/((l\/l**(-2))\/l*l\/(l**12\/l*l)) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - f**3 + 10147*f**2 - 10147*f**2 - f**3 + 0*f**3 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1635, -6572, -14765, -26184, -40799, -58580, -79497?\n\"Answer: 5*x**3 - 1658*x**2 + 2*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 4. Let k = -3 + 6. Let j be t(k). Let c be (j - -29)\/(1 + 0). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82.4 and -17.5.\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 2022*n**2 - 9*n - 6*n**3 + 2020*n**2. Let z(j) = 25*j**3 + 9*j**2 + 21*j. Give -9*w(q) - 2*z(q).\nAnswer: 4*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:14 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40970 and 51500.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (153\/(-12) - -12)*6\/9*8. What is the biggest value in q, -0.02, 2\/17, 71\/6?\nAnswer: 71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 9*x**2 - 15*x - 47. Let b be n(-10). Factor -808*m**3 + 4*m**5 + 405*m**3 + 403*m**b.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d**2 + 4*d - 4*d + 7*d**2. Let u(y) = -3 - 2 + 2*y + 5. Calculate h(u(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -0.073, 17.568, -1\/12?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3633394.0069 + 3632881. Let y = c + 527.0069016. Let t = -14 + y. What is t rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*z + 45, 138 = 5*c - z - 0. Let i be c\/3 + 6 + -5. What is the greatest common divisor of i and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226376?\nAnswer: 2, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2888617, 2888972, 2889327, 2889682, 2890037?\nAnswer: 2890392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/130 - 47\/(-273)) + 619\/(-105).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -322 - (0 + -2). Let h = 345 - s. Calculate the smallest common multiple of h and 1 - 2 - (-26)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*a + 1566 = -685*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 185714688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(425) + sqrt(425) + 0 + 2 + sqrt(425) + sqrt(425) + sqrt(425))*-5 + -5.\nAnswer: -125*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -9*v + 3730. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(224))\/sqrt(7) + 3*sqrt(2048).\nAnswer: 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + 4*sqrt(315))\/sqrt(9))\/(1*(sqrt(567) - sqrt(7))).\nAnswer: 5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931 = j - 5*d, -6*j + 4*j = -2*d - 3862. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 y, and 1 t when four letters picked without replacement from {l: 3, u: 4, y: 1, p: 2, s: 1, t: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*m**3 - 957*m**2 - 662*m - 3 wrt m?\nAnswer: -132*m - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose q*w - 85 = -5*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055616336 to seven decimal places.\nAnswer: 0.0000556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-1150)\/69)*(-168)\/126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29*(0\/1 + 1). Suppose 5*m - j = 11. Solve y - 2*r = -2 + m, 0 = -5*y - 5*r - 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:54 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -24\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -4. Let a = z + 10. Solve d = 2*f + 6, -1 = d + 5*f + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -1, 69, -0.1, 1070 in increasing order.\nAnswer: -95, -1, -0.1, 69, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5060 - 0?\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408*t**5 + 466*t**5 + 37*t + 35*t wrt t?\nAnswer: 1160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s - 25. Let l(h) = 3*h + 5*h - 10 - 6*h. Let v be l(7). Sort v, s, -1.\nAnswer: s, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 9*o + 40. What is the third derivative of -72 + 72 + 8*u**2 + u**o wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -305.6 - -306. Let y = 2.5 + -0.5. Which is the third biggest value? (a) v (b) y (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4840\/(-1320))\/(1353\/(-18))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(5) - (sqrt(5) - -5*(sqrt(5) + 2)) - ((sqrt(5) - (sqrt(5) + -4)) + 2))**2 + -3)*-5 + -1.\nAnswer: -9447 - 4000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 2*j - 2 - 77*j**4 + 4*j**2 - 67*j**4 + 146*j**4 as r*j**2 + d*j**4 + x*j + g*j**3 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3.9 (c) -5 (d) -3\/8 (e) 0.263 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -460*p**2 - p - 276445 with respect to p.\nAnswer: -920*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 11*z = -6*z + 55, 23 = 4*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**7*z*z)*z*z*z**7*z\/(z**(2\/3)\/z)*z*z**(-3\/7))**(2\/7))**(-8\/11) assuming z is positive.\nAnswer: z**(-304\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1082004, -1081891, -1081776, -1081659, -1081540?\n\"Answer: p**2 + 110*p - 1082115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w*y**3 + 3*w*y**2 - w*y - 12*y**3 - 18*y**2 wrt y.\nAnswer: 18*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2226 = 4*v + v, a - 2218 = -5*v. Suppose 0 = -6*f + 4*f + v. Is f\/(-4)*(-28)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3405241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let i(m) = -4*m - 1. Let s(j) = 5*j. Let h(z) = 4*i(z) + 3*s(z). Let q be h(0). Let o(k) = -7*k + 1. What is q*l(t) - o(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 6. Let q be f(4). Suppose 4*m - 88 = q*m. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 18. Let v = 16 - 8. Let o be y(v). Let g be (-15)\/o*32\/12. Solve 6*a - a = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -91. What is the second derivative of 58*a + 63*a**2 - 38*a**2 - 33*a**2 - t*a**3 wrt a?\nAnswer: -18*a - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 515, -0.2, 3\/8, -172\/5?\nAnswer: -172\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 791\/8. Let n = -219 + 1093\/5. What is the nearest to 0 in n, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 448. Let t(h) = -4. Determine -2*t(r) + v(r).\nAnswer: -2*r + 456","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -0.67+-0.78\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxkxsskmxkxsmmkmkkk. Give prob of picking 2 m.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 13*g**2 - 33*g - 43. Let z be f(-15). Factor 3\/2*l**z + 0*l + 0 - 3\/2*l**3.\nAnswer: -3*l**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 27. What is the third biggest value in 2, c, 5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 13) to base 12\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - b)*(-2*b + 4*b - b) + (-108*b - 67*b + 16*b)*(-18*b + 25*b - 55*b).\nAnswer: 7634*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:21 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 557, 644, 731, 818?\n\"Answer: 87*d + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 4, f: 6}. What is prob of picking 1 k, 2 f, and 1 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 3\/7 in descending order.\nAnswer: 3\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4810 in -19, -1\/5, -0.3, -0.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 8*w - 3. Let z(y) = -y**3 - 31*y**2 + 32*y + 45. What is the remainder when z(-32) is divided by j(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 95*d - 9 = 94*d, 2*s + 3*d = 24. Let x(u) be the first derivative of -5\/7*u**2 + 12\/7*u + 11 - 2\/21*u**s. Factor x(g).\nAnswer: -2*(g - 1)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305105 - -1?\nAnswer: 305110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2679 and 235?\nAnswer: 13395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3070 - -5059. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 10*o**2 + 3*o - 24. Let y be k(10). Let n be 399\/(-836) - y\/(-8). Sort n, -0.1, 5 in decreasing order.\nAnswer: 5, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50854 and 7033.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/1167 - 764\/8169. Let z = 25.8 - 26.8. Let x = -1 + 1. What is the nearest to z in g, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/5))**20\/(f**7\/(((f*f**(-1\/4)*f)\/f)\/f))*((f**0\/f)**7)**27 assuming f is positive.\nAnswer: f**(-737\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000101 (base 2) in base 9?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 25 = -z, -s - 30 = 2*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 + 1)) + 1 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -y - 16, -4*d + 15 = y. Let n(t) = 298*t - 1188. Let b be n(4). Put 3, y, b, 5 in increasing order.\nAnswer: y, 3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from wsssssw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120353103 (base 6) to base 16.\nAnswer: -bc691f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -0.655952\nAnswer: 29.51784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - 21) + (-17 - -47)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnswwwwwdwwdwdndw. What is prob of sequence ns?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(2\/19)*h))*h*h\/(h**35\/h)*(h**3)**40 assuming h is positive.\nAnswer: h**(1693\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1291aa?\nAnswer: 1291ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005632 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -542027?\nAnswer: 541772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82, 79, 76, 73, 70, 67?\n\"Answer: -3*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 - 10*a - 5. Let v be f(4). Let y = 62 + v. Differentiate 138*b**3 + y - 126*b**3 - 2 with respect to b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.11 - -0.11. Let w = -7 - k. Let a = -5.8 - -6. What is the closest to a in 3, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*m - 12. Suppose -69 = -3*f - m. What is the smallest common multiple of f and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50886830 by -2.\nAnswer: -25443415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) 0.79 (b) -16 (c) 0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/5 of a hour?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15291000 to the nearest 100000.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + 4*l. Determine u(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(567) - (sqrt(567) + (-4*sqrt(567) - sqrt(567)) + sqrt(567))))\/(sqrt(144) + -2*(sqrt(144)*-1 + sqrt(144) - sqrt(144))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t - 76. Determine d(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**4\/12 - 39*z**2 - 73. Let j(k) be the second derivative of u(k). What is j(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132077, -264155, -396233?\nAnswer: -528311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24 + (-75)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 - 174 - 7*y**5 + 97 + 75 + (3*y**2 - 3*y**2 + y**2)*(y**3 + 0 + 0).\nAnswer: -6*y**5 - 4*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/11, -4, 0, -0.4, 8563, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 4720.\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.8 and -0.5.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-362)\/(-22) + (-186 - -173) + 2 + -6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + 1512*g - 64503. What is z(251)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 102*w - 105*w + 12, 5*w - 5*y = 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57883721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -3360.7?\nAnswer: 3365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 39. Suppose -s - 25 - o = 0. Let d = 285 + s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/24 - 13*i**5\/12 - 25*i**4\/12 + 20*i**3 + 3*i**2 + 24*i. Factor y(j).\nAnswer: -5*(j - 1)*(j + 2)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 7*l**2 - 7*l + 7. Let n be y(6). Suppose -o + 14 = -n. What is the remainder when 59 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h**(1\/11)*h**(-5)*h**(1\/12)\/h)**(-13\/5) assuming h is positive.\nAnswer: h**(18577\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2 - 40*v - 67. Is 24 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tiiityysttttaynii.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 21*b**2 - 69*b - 21. Give y(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15983 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -126. What is the third derivative of -5*q + 2*q**6 - j*q**4 - 2*q + 4*q + 6*q**2 wrt q?\nAnswer: 240*q**3 - 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -8\/15, -1, 5, -0.1, -22?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37558300 less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-628)\/(-1256). Let i = -40.911 - 0.089. What is the nearest to 0.2 in i, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 585 = 28*j + 695, -2*j + w = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2291703267 rounded to three dps?\nAnswer: -1.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14698, -29545, -44390, -59233?\n\"Answer: g**2 - 14850*g + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2205352 and -26\/3032359.\nAnswer: 24258872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360*a**3*i**2*w*z**2 + 2*a**3*i*w*z**3 + 4*a**3*i*w*z**2 + 7*a**2*i*w*z**3 - 5*a**2*z**3 + 7*a*i - 3*i**2*w*z**3 wrt i.\nAnswer: -720*a**3*w*z**2 - 6*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 + 0.48. Let k be ((-1)\/(-3 + (-21)\/(-6)))\/10. What is the closest to -0.1 in z, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10168*v**3 - 2*v**2 + 23*v + 16?\nAnswer: -61008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 1. Suppose 379*b + 629*b - 35529 + 14361 = 0. What is the remainder when b is divided by q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.61499 + -0.5752. Round f to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 1118102.\nAnswer: -109\/559051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflbrlbyrrcff. Give prob of picking 1 r and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8704454mg in kilograms?\nAnswer: 0.0000008704454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5)\/y))**37 assuming y is positive.\nAnswer: y**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218174778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3108, 1530, -52, -1638, -3228, -4822?\n\"Answer: -2*m**2 - 1572*m + 4682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:18 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12020101020 (base 3) to base 4\nAnswer: 121022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*q - 3*q - 35 = 0, 2*t - 11 = -3*q. Let g = -0.5185 + 0.5185. Which is the biggest value? (a) -4\/5 (b) t (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + -2003445?\nAnswer: -2003514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -1)*(-12)\/(-24). Let r(q) = -q**2 - 5*q - 4. Let p be r(d). Let k be 4\/(-4)*(-1 + -2). Are k and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 + 5*x**2 - 8*x + 2. Let t(p) = 20*p**3 + 14*p**2 - 23*p + 6. Let h(l) = 17*b(l) - 6*t(l). Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 20 = -3*g. Let f = g + -38. Let c = f + 32. Solve c = 3*a + 5*t, 5*a - 3*a + t = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -8*r - 18. Let b be (-2)\/r + ((-2288)\/6)\/(-11). What is the highest common divisor of b and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/164 - (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-7)\/7) + 23. Suppose 5*z = -4*f - 93 + 10, -4*f = 8. Let u = i + z. Is 6 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 70. Let m(k) = -1658*k - 2. Give m(f(w)).\nAnswer: -1658*w + 116058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/11 - -197\/44. Calculate the common denominator of -73\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -393, -390, -391, -396, -405, -418?\n\"Answer: -2*z**2 + 9*z - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114644 = -4456*m - 28166 + 96218 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 3) + -3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7\/n*(n*n*n\/(n*n**3)*n*n)\/n*n*n*n**(-1\/6)\/((n*n**(-2\/23)\/n)\/n)*(n**(-8)\/n**(-8))\/(n*n**(1\/2)*n)**(-2\/87) assuming n is positive.\nAnswer: n**(35929\/4002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3)\/12 + (-159)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*x**2 + 10*a**3*x + 2*a**2*x - 2*a*x**2 - 3*x**2 - x wrt a.\nAnswer: 12*a*x**2 + 60*a*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 808 + 452 = 0. Calculate the highest common factor of 1155 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/7, 439, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -406 bigger than -7717\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158531 - -201809975\/1273. Let a = 118485\/10184 - y. Find the common denominator of a and 41\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 - k. Let x(i) = 4*i**3 + i**2 - 20*i + 1. Determine -2*f(u) + x(u).\nAnswer: 2*u**3 - u**2 - 18*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -31418 not equal to -31420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 = -6. Let f = -1 + 2. What are the prime factors of f - (1*-4)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2 + 63\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 5*g**2 + 51*g - 51. Let w be r(1). Let y(m) be the second derivative of m - 1\/6*m**3 + 0 - 3\/2*m**2. Let s(i) = -1. What is w*y(c) - s(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 18*z**2 + 13*z - z**3 - 24*z**2 - 13*z to h*z**3 + t*z + s + j*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 33*r - 9. Let g be 44\/33*r\/2. Solve -3*u = -2*u + o - 1, 0 = 3*u - g*o - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8525 divided by 341?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713142861.\nAnswer: 3, 237714287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**2*f**2 - 441860*d**2 - d + 19*f**2 - 789*f + 8 wrt d?\nAnswer: -8*d*f**2 - 883720*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 675097332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-8) + (-83)\/664\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81335216*c**3 + 48589376*c**2 + c wrt c?\nAnswer: -488011296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 847?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-90)\/(-75) - -1)*(2 + 0)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15 = 5*x, -b = x - 446. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.81 + 2.91. Let u = 9 + -9.4. Sort a, u, -1\/6 in increasing order.\nAnswer: u, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 40. Let h = g - 47. Let m(p) = -5*p - 2. What is m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5816*c**2 + c - c - 5815*c**2 - c**3.\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = -5*h, -3*h - g = -2*g - 9. Solve 0 = -h*r + u, -3*r = -0*r + 3*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6. Let h(y) = -3*y**3 - 13. Determine -2*h(g) - 5*i(g).\nAnswer: g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10021, -19168, -28315, -37462?\nAnswer: -46609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1431584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*c**3 - 881*c**3 - 279*c**3.\nAnswer: -987*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 15*j**4\/8 + 17*j**3\/3 + 191*j**2. What is the derivative of a(y) wrt y?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327844729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = 2*c. Let t be c*((-3)\/(-1) - 6). Let m = 32 + t. What is the remainder when 64 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 28*f**2 + 20*f - 20. Let m(l) = 4*l**2 + 3*l - 3. Let v(q) = 6*d(q) - 40*m(q). Suppose 5*o - 25 = 5*b, -4*b = -45*o + 50*o + 11. Give v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 564 + -336. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 216.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 + 4 = 0. Let q be (v + 6)*(-4)\/(-10). Is q less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.70325011 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 144 = -2*c - 4*k, -15 = 3*k. Solve 31*v - 259 = -c*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**4\/7 + 2171*v**3 + 6061833*v**2\/7 - 3648653*v\/7 - 2428382\/7 = 0.\nAnswer: -2567, -473, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v - 4. Calculate b(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 1 + 20*r**3 - 5*r**3 - 11*r**3 + (-r**3 - 2 + 2)*(-3*r - 4 + 4) as n*r**2 + c + i*r + o*r**4 + g*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 8 - s**3 - 7*s**2 + 0 + 2*s + 1. Suppose 4*z = -4*a - 44, -3*z - a - 35 = z. Is y(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = l - 26. Let w be -10 + l - (-2 - (0 - -1)). Solve 8 = -w*o - 0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 33807 - 34206. Let o = v + 443. Round o to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3027 and -0.08?\nAnswer: -242.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z + z. Let n(x) = -2*x - 2. What is the units digit of n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 67 + 59 = 0. Suppose d*i = 9 - 5. Let h(q) = -i*q - 5*q + 7*q - 1 + q**2. Let o(l) = 4*l**2 - 5. What is -5*h(c) + o(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:37 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.2 + 12. Which is the nearest to 0? (a) x (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(3528\/40) - (-38)\/(-171).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110101010001101?\nAnswer: 110101010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23650 and 7525.\nAnswer: 165550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.4638867?\nAnswer: 0.3638867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2649*s**2 + 43143?\nAnswer: 5298*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - 6*x - 6. Let d be a(-4). Suppose -4*y - 12 = -d*i, -3 = -5*y + 2*y. Is i greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b**2 + 59739*b - 1. Let m(w) = -2*w - 2. Give n(m(t)).\nAnswer: -68*t**2 - 119614*t - 119547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 378 - 197 = 0. Let o be m\/5*4\/10. What is j in -2*j**2 + o*j - 52*j - 13*j**2 + 48*j**3 - 27*j**4 = 0?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 1)*(20 - 2 + 8)*(-615 + 40*o**3 + 615) + (2*o - 3*o + 3*o)*(2*o - 2*o - o**2) as l + n*o + y*o**2 + d*o**3 and give d.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 + 5?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1499756928.75973 and 0.1.\nAnswer: 1499756928.85973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**4 + i**3 - 1. Let n(b) = 4*b**4 + 3*b**3 + 15*b**2 + 50*b - 3. Let u(d) = n(d) - 3*r(d). What is the second derivative of u(z) wrt z?\nAnswer: 12*z**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppqq when four letters picked without replacement from pppppqqpp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 0 - (-13 + (21 - 12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(7) + sqrt(14)\/sqrt(2)*3)*-6)\/(sqrt(144) + sqrt(144) + 1*sqrt(144) - sqrt(980)\/sqrt(5)).\nAnswer: -3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5530 minus -0.02672?\nAnswer: -5529.97328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*j**3*y**3 + 5*j**3*y**2 - 6*j**3 - 4*j**2*y**3 wrt y?\nAnswer: 324*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 352.084 decades?\nAnswer: 42250.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + v**2 - 3226369 - 27*v**2 + 3226369 + 10*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 10. Let r(p) = -p + 2. Let y(z) = 1. Let b(l) = r(l) - 5*y(l). Let x be (0 + 8\/6)*6. Let m be (-1)\/(-4) - 26\/x. Calculate m*k(t) + 10*b(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -469*g**3 - 750 wrt g?\nAnswer: -1407*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**2 - 78 - 2*h - 1\/3*h**3. Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:48 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4368616, 8737225, 13105834, 17474443, 21843052, 26211661?\n\"Answer: 4368609*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36855341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/2, 0.2, 0.51, 0.014 in increasing order.\nAnswer: -35\/2, 0.014, 0.2, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmvmvmvsvmssscmm. What is prob of sequence sc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*j - 5*c, -7*j = 18575*c - 18580*c - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -3.78, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + g + 11 = 0, -123*g + 120*g - 18 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*u**2 + 10*g*u + 2*g - u**2 + 11*u + 186 wrt u.\nAnswer: -4*g*u + 10*g - 2*u + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshh. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36336\/14 + -10 - (20\/14 - 1)?\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -45*n + 18. Let c be f(4). Let x = 242 - c. Let s be x - (3\/(-1) + (-26)\/(-13)). What is the highest common divisor of 45 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 5104250?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 4*r - 4 = 66*u, -5*u + 8 = -2*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 669*l.\nAnswer: -l*(l + 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) 3817 (c) 3 (d) 4\/9 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 2*q**7\/105 - 282*q**6\/5 + 714022*q**5\/15 + 238854*q**4 + 1434818*q**3\/3 - 2087*q**2. Factor u(s).\nAnswer: 4*(s - 847)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -17, 0.3, -0.05, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/13 (b) -3\/2 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411 and 4932685?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 560156719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1)*p)**(-1\/21)*(((p*p**0)\/p)\/p*p)**(3\/19))\/((p**(1\/2)*p)**44)**(-2\/19) assuming p is positive.\nAnswer: p**(905\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97310581 and 130665.\nAnswer: 8711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.5989?\nAnswer: 5.5989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 817 or -151?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + z**2 + 3*z**4)*(0*z - z + 4*z).\nAnswer: 9*z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72777*m**3 - 111*m**2 wrt m.\nAnswer: 436662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(14973\/(-357)) - 8 - -7\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**4 - y**2 + 13*y**4 + 1 - 4*y**4 in the form w*y**4 + o*y**3 + j*y**2 + k + b*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -11. Suppose -22 = -3*a + 3*g - t*g, a + g = 6. Let w(d) = 2*d**2 - 7*d + 1. Let k be w(4). Solve 3*u + a = 4*p + 25, p + 18 = k*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 3}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 33. Let y = k - -25. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1162*d + 2315. Let t be z(2). Let g(x) = x**3 + 7*x**2 - 5*x + 17. Give g(t).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7359 and 6083440.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1970)\/(-30) - (-2)\/6?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q - 1283*q - 409*q to b*q + s and give b.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -a - 11, -2*b + 5*b - 2 = -4*a. Suppose -b*c - l - 99 = 0, -4*c - 213 = 2*l - 3*l. Calculate the remainder when 18\/(-12)*c\/3 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*p**2 - 24*p + 2 wrt p.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-26 + 17)) + -3 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.2, -4, -0.4, 1\/44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 3*x + 3*u, 2*x + u - 7 = 0. Suppose 0 = -t + x*t. Let f = 4 + -3.9. What is the nearest to t in 2\/9, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4398 - -189112\/43. Which is the nearest to 1? (a) 2 (b) n (c) -0.2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 4*r - 20. Suppose 10*y + 12 = 16*y. Is 16\/4 + r + y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 4. Let z be p(-8). Suppose 0 = -2*u - 3*w + 20, -7*u = -3*u - z*w - 60. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 29 - 20 + 60 to j*t + r + v*t**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2044 and 6356.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -4*o, 4*v - 4*o = 7*v - 20. Let f be (v + (-51)\/9)\/((-1)\/(-6)). Let k = f - -11. Which is bigger: 11\/14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*j + 4*j. Let v = j - 3. Let m(s) = -v*s - 5*s**2 + 19*s. Let a(o) = 2*o. What is a(m(h))?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 12089.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 124, 181, 220, 235, 220?\n\"Answer: -y**3 + 76*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 - 4*c**2 + 4*c**2 + (2*c**2 - 2*c**2 - c**3)*(33*c - 4*c + 31*c) in the form l*c**4 + g*c**3 + o*c + j + n*c**2 and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 + 4655*a - 13957. Calculate u(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325302.\nAnswer: 2, 3, 54217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -9*z - 11 + 8. What is the closest to 0.073 in z, -5, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 1.6901.\nAnswer: 8.6901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114.54 + -113. Let z = y + 111.46. Let g = z + -112.99823. What is g rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 + -1643 - (-110 + -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**8\/420 + 5*z**4\/24 + 4*z**3\/3 - 2. Let j(h) be the third derivative of i(h). Differentiate j(f) with respect to f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 26*w + 32. Let v be y(-27). Suppose -v*d = -228 + 148. Suppose -3*i = -d*i + 286. What is the remainder when 106 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35411.1 times -195\nAnswer: -6905164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 11*h - 7. Let b be j(-8). Let g = -12 + b. Let d = 0.5 + -1. Sort -2, g, d in ascending order.\nAnswer: -2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 3*l - 1. Let b(y) = -7*y**2 - 6*y + 2. Let h(n) = -3*b(n) - 5*f(n). What is the units digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142, 2283, 3424, 4565, 5706?\nAnswer: 6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/8 - 57*q**3\/8 + 39*q**2 - 105*q\/2 = 0 for q.\nAnswer: 0, 2, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/151 and -46\/5.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20986 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773982247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 13 + 3 = 0, 0 = 5*s + 4*h - 39. Is s greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -17*v**2 + 0*v + 1\/120*v**5 - 10 + 1\/6*v**3 - 1\/16*v**4. Let s(o) be the second derivative of t(o). Factor s(c).\nAnswer: (c - 2)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 18*z + 6. Let h be a(-15). Suppose -2*s - s + h = 0. Calculate the greatest common divisor of s and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*g = -2694. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 1 + -1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 279\/(-54) + 2\/2 and ((-33)\/(-5))\/((-2)\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -15*y - 100. Solve 18 = -4*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:48 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*18\/3. Let s be w + 4 + 0 + 0. Solve -3*f + s*f = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 26*o**2 + 9*o + 1. Is t(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 1 (b) 513 (c) 0.4 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 + 1595 = 5*m. Which is smaller: 284 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 7. Let c be f(13). Let x = 270 - c. Suppose 0 = 4*p + 2*y - 168, -5*p + x = -0*p - y. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22764 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-294)\/(-28))\/(-21))\/((-4)\/(-128)*2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, z: 1}. Give prob of picking 1 d and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 683804 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/10 - 4243*w\/2 + 908547\/5 = 0. Calculate w.\nAnswer: 86, 21129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20d44 (base 16) to base 4\nAnswer: -200311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d - 0. Let j(i) = -i**2 + 7*i. Suppose -18 = -13*g + 21. What is the least common multiple of j(d) and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g + 2573071 = -58*g - 3529104. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454987414 divided by 19.\nAnswer: 23946706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 39*h - 2*k - 28 = 0, -4*h - 12 = 3*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21))**(2\/29)*((y\/(y*y**(7\/3)*y))\/y)\/y**(27\/2) assuming y is positive.\nAnswer: y**(-3355\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 11 = -5*b, 0*w + w = -4*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2633*r + 1004. What is the tens digit of k(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22578 (base 9) in base 7?\nAnswer: 61616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m*m)\/((m*m**(-3\/10))\/m))**(-1\/35) assuming m is positive.\nAnswer: m**(-53\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + g = 41, 4*i + 5*g - 79 = 0. Let a = i + -7. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*j + 20, -j = 3*n + j + 10. Suppose 3*y - 3*z = 21, -4*z - 11 = 2*y - z. Suppose 0 = -y*m - n*m + 32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1*-4)**2 + ((0 + sqrt(18) + sqrt(18))**2 - (sqrt(72) - -1*sqrt(72))).\nAnswer: -12*sqrt(2) + 1640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.7124 + 0.2876. What is the second biggest value in -2, -5, 2\/7, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*m + 4*l, -12*m + 13*m - 8 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -28 + 31 - -18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -47. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/84 + 3485\/(-170)*5\/(-2)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 478*f**2 - 1880*f.\nAnswer: -2*f*(f + 4)*(f + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1333 - -0.1667. Sort -1, -15, -0.5, -2\/3, z in decreasing order.\nAnswer: z, -0.5, -2\/3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/(-10))\/(((-3108)\/16)\/(-7)). Which is bigger: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**2 - 318*c + 309. Determine l(-36).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -17*w**5\/10 - w**4\/6 - w**3\/3 - w**2\/2 + w. Suppose -18*c + 2 = -20*c. Is 13 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from meebeeeemeeemmemmeme?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98887, -98886, -98885, -98884?\n\"Answer: k - 98888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695247 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + 23 - (-3 - 304). Let o be 2\/2*-221 + -1. Let j = o + n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -10\/3, 1\/24, 1\/11 in ascending order.\nAnswer: -10\/3, 1\/24, 1\/11, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1206 and 27581220?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - 2*a + 3. Let c be o(1). Let h = 23 - 106. Let b = h - -78. Sort c, -1, b, 3 in decreasing order.\nAnswer: 3, -1, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/7 - -1\/35. Suppose 0 = k - 4*a - a - 21, a + 3 = -k. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 times 0.09?\nAnswer: -58.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**4 + 3*v**4 + 2*v**4 + (2*v**3 - 2*v + 2*v)*(v - 3*v + 5*v) + 2*v**4 - v**2 + v**2.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)*a)**(-39)\/((a*a**4)\/(a\/a**5)))**(-22) assuming a is positive.\nAnswer: a**(9108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let a(l) = 613*l. Give a(k(f)).\nAnswer: -613*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261\/140 + -43\/70. Let s = 10\/21 - 8\/7. Which is the third biggest value? (a) s (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24001 + 0.04001. What is the third smallest value in -1\/12, 0.03, q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-10))\/(2\/(-5)). Suppose -2*c - 115004 = -f + 2*c, 0 = h*f + 4*c - 229996. What is f rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299454?\nAnswer: 2, 3, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434*u**4 - 265*u**3 + 6522264*u**2 wrt u?\nAnswer: -10416*u - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(243)*-2 + (sqrt(243) - (sqrt(243) + ((sqrt(243) + -1)*2 - sqrt(243)))))*4 + 1 + -3)**2.\nAnswer: 432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) + sqrt(6)\/sqrt(3))*6 + 0 + (sqrt(78)\/sqrt(6)*-5 - (3 + sqrt(26)\/sqrt(2))))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112311 + -1?\nAnswer: 112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 4*t**2 - 4*t**2 + (t - t + 8*t)*(5*t - 3*t - 4*t).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/7 + 86784*j**2\/7 + 347162*j\/7 + 260376\/7 = 0. Calculate j.\nAnswer: -3, -1, 43396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -2*g + 5*q, 0 = -2*g + 2*q + 73 + 25. Suppose -4*p - d + 1416 = 1404, -4 = 4*p + 5*d. Calculate the greatest common factor of p and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*t**3*w**4 + 169*t**3*w**3 - 2*t**3*w - 173*t*w - 34*w wrt w.\nAnswer: -252*t**3*w**2 + 1014*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 16*c + 26. Let d(o) = -o**3 - 179*o**2 - 182*o - 694. Let f be d(-178). What is y(f)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 0. Let c = 0 + k. Let g(z) = -z**2 - z + 10. Let f be g(0). Solve c*j = -2*j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 3) to base 8\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 113\/2. Let g = m + -278\/5. Let v(c) = 4*c + 22. Let q be v(-5). Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, -1\/7, -6, 0 in decreasing order.\nAnswer: 0, -1\/7, -2\/9, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -38253227.\nAnswer: 19126613.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:32 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8465 - -8468. Put -30, v, -4, -6 in decreasing order.\nAnswer: v, -4, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4338160 and 101702?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 120?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 24*q + 1 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4500 and 5975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*b + 3*b. Let x = 32 + b. Suppose -y = 5*n + 7 - 32, x = 3*y - 3*n. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 1 (c) -3 (d) 0.1 (e) -584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148 equal to -10\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4))**28*d\/((d\/d**(-1\/8))\/d)*d*d\/((d*d*d*d**4)\/d))\/(d**(3\/4)\/d*d**3)**27 assuming d is positive.\nAnswer: d**(-451\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/60*l**5 + 0*l + 0 - 7\/6*l**3 + 28*l**2 + 1\/24*l**4 + 1\/120*l**6. Calculate s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19685.6678 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 7*j**2 + 16*j + 88. Give d(-5).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttth when four letters picked without replacement from ththhttttthttt.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(153) + 2)*-2)**2 + (sqrt(153) - sqrt(153)*-4)*6.\nAnswer: 138*sqrt(17) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 54*d - 654, -d - 41 = -c - 6*d + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(20\/(-80)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11380326 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -4105?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 95098 = -251290. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + 0)*(-27)\/(-81). Let o(a) = -7 + 5 + a + 2 + a**3 - 6*a**2. Calculate o(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -88, -22, 100, 296?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.3 - -27. Let s be -1*(-2 - (-20)\/11). Which is the closest to 0? (a) x (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 - 5*c**2 + 5*c + c - 8*c**3 + 6 + 7*c**3. Calculate the least common multiple of 3 and q(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpaapmmmpmam. Give prob of picking 1 m and 1 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h + 7 + h**3)*(6 + 2 - 3).\nAnswer: 5*h**3 + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10135*u + 10051*u + 756 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -4237\/1644115 + 3\/835. Let w = -124027\/19690 - o. What is the common denominator of w and -103\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 - -552\nAnswer: 552.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120272293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184614 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20449 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44040, 44039, 44038, 44037, 44036, 44035?\nAnswer: 44034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((259 + 150 - 655)*(0*z + 3*z + 6*z) + (0*z + 0*z - z)*(-2 + 2 + 1))*(0 - 2 + 3).\nAnswer: -2215*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y - 4*y + 0*y)*(-51 + 2*y + 51) - y**2 + y**2 - 2*y**2)*(-2*y**2 - 4*y**2 + 4*y**2).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m**3 + 37*m**3 - m + 52*m**3 - 16*m**3.\nAnswer: 120*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytm. What is prob of picking 1 y and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 16 + 6*y**3 - 5*y**3 - 841.\nAnswer: 3*y**3 - 825","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 3)*(1976*a**2 + 615*a**2 - 1406*a**2) in the form n + k*a**2 + y*a and give k.\nAnswer: 4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in years?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 + 15)*(2*v - 1 + 1 + (-4 + 2 + 3)*(0*v - 5*v + 4*v) - 2*v + 0 + 0 + 3*v - 2*v - 3*v - 2*v + 4 - 4).\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, 1 k, and 1 o when four letters picked without replacement from {i: 3, x: 1, k: 1, w: 3, o: 2, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15522737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 53*w = -44550. Round w to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2560912kg?\nAnswer: 256091200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265 (base 7) to base 3.\nAnswer: 200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-25 + -8 - -5 - -30).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 24, -3?\n\"Answer: -27*p + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 501 - 478. Solve 5*j - 4*t + m = 0, 0*t - 4*t + 5 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214848 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 295474687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1626062 (base 9) to base 4\nAnswer: 3130201313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*y - 360*y - 616*y to the form f*y + j and give f.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6619*z**2 + 12667*z**2 - 3*z - 2 - 1 - 6740*z**2 + 3.\nAnswer: -692*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144258114.\nAnswer: 2, 3, 7, 11, 13, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/96)\/((-12)\/(-240)*3)*(-32)\/30?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2. Let d(s) = -125*s - 144*s + 16 - 31 + 15. Determine t(d(r)).\nAnswer: 72361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166234436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v**2 - 2*v)*(32542*v - 32542*v - 98*v**3).\nAnswer: -98*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/34103? (a) 1\/3 (b) 35\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.33.\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 - 1.1. Let d = -54.236 - -3.236. Which is the third smallest value? (a) x (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4042*i**2 - 3*i + 195*i**2 - i + 3*i + 5 as n*i**2 + u*i + m and give n.\nAnswer: 4237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 + 9*t**2 - 8*t**2 + t**3 - 3*t**2 to p + i*t + z*t**3 + l*t**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*j - 2*p - 10, -5*j + 2*p = 43. Is ((-2444)\/7 + 1)*j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26521 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than or equal to -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/4)\/c)\/(c**(-4)\/c*c*c*c))\/((c\/(c\/(c*c\/c**(-1))))\/c)**(2\/55))**(1\/4) assuming c is positive.\nAnswer: c**(149\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g - 91 - 26*g**2 + 45 + 48 wrt g.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2788.892 millennia?\nAnswer: 33466704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/6250 and -109\/750.\nAnswer: 18750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and -176.\nAnswer: 11088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 841?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8106537*k**6 - k**3 + 9514148*k**2 + 1 wrt k?\nAnswer: -972784440*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -59*(-5)\/885*372\/7*(-7)\/(-2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149.65445 hours in weeks?\nAnswer: 6.84318125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -50 - -26) + -10 - 29.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-27)*(-429)\/22 - (-13 + (-168)\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39682833 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121772649 to five decimal places.\nAnswer: -0.12177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 9*m - 8*m. List the prime factors of m.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.9 + -10. What is the closest to 0.1 in u, -1, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5605 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 - 156. Let x(f) be the first derivative of -f**3\/3 - 7*f**2\/2 - 5*f - 1. Let d be x(u). Let q(a) = a**3 - 5*a**2 + a - 3. Give q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 203520890?\nAnswer: 203520890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2878762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from tvtzzvvtvzzvztzvtzt?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63148 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/25))**(-36) assuming l is positive.\nAnswer: l**(-72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, 361, 1097, 2151?\nAnswer: 3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**4 + 15*f**3 - 5*f.\nAnswer: 5*f*(f + 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 2\/21, 696 in ascending order.\nAnswer: -5, 2\/21, 8, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:50 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.31320823?\nAnswer: -2.31320823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 95 = -595. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**3 + 50*h**2 + 11*h - 44. Give p(-8).\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 - (14 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -6291, -20792, -48865, -95034, -163823, -259756, -387357?\nAnswer: -551150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1 - 13*i)*(0*i + 2 - i - 3*i**2 + 2*i**2).\nAnswer: 13*i**3 + 11*i**2 - 28*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5. Let t(k) = -k + 1. Let n(o) = o**2 - 10*o + 13. Let c be n(8). Determine c*t(z) + s(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = 5*x, -3*x - 2*o - 5 = -6*x. Let g(u) = -3*u + 4 + 3*u**2 + 4*u**x - u**2 + 2*u**3 - 5*u**3. Suppose 4*t + 6 = 2*t. Determine g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/28 + 2\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 41002*a**2\/3 - 177788*a.\nAnswer: 2*a*(a - 13)*(a + 20514)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205561603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/30 + (-758120)\/(-234975). Let j = -6\/241 - t. Calculate the common denominator of j and -59\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 27. Let b be s(-10). Suppose 18 = 2*p + 4*n, -b*p + 31 = -3*p + 3*n. Solve p*a + z + 5 = 2*a, a + 3*z = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, r: 2, h: 7, j: 2, s: 2}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Let l be 0 + i - 2*-2. Differentiate -1 + 7*m**4 - 3*m**l - m**4 wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 28 + 4 = 4*d, -2*p = -5*d - 29. Let b be 182\/3*18\/p. What is the greatest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732762, 1465540, 2198318, 2931096, 3663874?\nAnswer: 4396652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/13 - 986*t**4\/13 + 92990*t**3\/13 + 986*t**2\/13 - 92988*t\/13 = 0.\nAnswer: -574, -1, 0, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 4407 - 743. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15721 = p + 5*b, 6*p - 2*b = p + 78713. Suppose 7*d = p + 4090. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 10. Suppose 35*x = -11*x - x + 376. Solve -o*f = 2*f + x, -f + 3 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 5 - 15 - 18)*(k**3 - 3*k**3 + 9*k**3).\nAnswer: -357*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460 is divided by 593.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 5*b - 1\/120*b**6 - b**2 - 1\/10*b**5 - 1\/6*b**4 + 0 - 1\/6*b**3. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)*l**(2\/7)*(l\/(l\/(l\/l**(-4))))\/l**(-2\/31) assuming l is positive.\nAnswer: l**(-2745\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20814943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-5)\/(-10)). Suppose 204 = -j*z + 7*z. Let i(q) = 51 - z - 9*q. Let a(h) = 2*h**2. Determine a(i(t)).\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*k - 3200 + 20914, -3*k + 2*y + 26571 = 0. What are the prime factors of k?\nAnswer: 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, 0.8, 5 in decreasing order.\nAnswer: 5, 2.9, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -207? (a) -4\/7 (b) 0.8 (c) 1440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 960*o**2 - 18508*o - 17544 = 0.\nAnswer: -17, -1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40\/441 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1 + 15. Let a = -13 + v. What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2206 - 1196 = -18*v. What is the greatest common factor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28664601 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - 584\/24. Let q be (-10)\/r*5\/(-99). Let z = -64\/99 + q. Is -1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 104. Is v(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -144. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 + 11 = 0. Let w(c) = c**3 + c + 1. Let b be w(0). Let h = 1 + b. Solve h = -i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783542281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 6 (b) 0.5 (c) 2\/15 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 283 = -383 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*1719\/(-3420) - (-2)\/(-50)*65\/26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31482432 times -2\nAnswer: -62964864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 4*b - 4. Suppose 4*f = 4*i + 8, -3*f + 2*f + 2*i + 4 = 0. Suppose 3*u + 48 + 45 = f. Let x = u + 35. Determine h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**4)\/i**(-4))**(4\/3) assuming i is positive.\nAnswer: i**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-2))\/((-342)\/(-228))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w*w\/w**18*w)\/w)\/w))\/w**(6\/23)*(w**(-5\/9))**48 assuming w is positive.\nAnswer: w**(-685\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -q + 4*m, -2*m = 5*q - 5*m + 15. Suppose q = -g + 4*g - 12. Suppose -18 = -g*a + a. Solve 2*f = -4 - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1022\/303 or 3?\nAnswer: 1022\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110034946 to 6 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 45472706.20059.\nAnswer: 45472706.18059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -677732 + -2631. Let f = 14972585\/22 + l. Let t = -413\/2 + f. Calculate the common denominator of t and -81\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 664*z + 216*z - 26*z - 88*z to x*z + b and give x.\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -605000 (base 7) to base 11\nAnswer: -70064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558125337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x - 8*x**2 - 5*x. Let r(a) be the first derivative of -a**3\/3 - 8804. Give d(r(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234140 plus -3?\nAnswer: 3234137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = -14*k - 149. Is -34 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.1 - -16.1. Let q = -27.5 - z. Put q, 3\/5, -5 in increasing order.\nAnswer: -5, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -654797*r + 3*r**3 + 1 + 9*r**3 + 654689*r in the form y*r + j*r**3 + l*r**2 + k and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8110843.\nAnswer: 13, 83, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10367 - 10167. Factor -t*c - 160 - 125\/2*c**2.\nAnswer: -5*(5*c + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)\/(-12)*0\/(-4). Suppose -15*z + 33*z - 5184 = h. Is z a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j + 0*j - 23*j - 27*j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, -209 in descending order.\nAnswer: 4, -1, -3, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7\/m**(-4)*m\/((m\/m**(-1))\/m)*m**(-2\/7) assuming m is positive.\nAnswer: m**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -24 + 100. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73284 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.108251265 rounded to four dps?\nAnswer: -1.1083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1134\/43 + -7717\/516. Find the common denominator of j and (-1122)\/189 - 4\/14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232493.\nAnswer: 2232493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/6 + g**2\/2 - 164*g. Let o(p) = -5*p**2 + 7*p + 5. What is -5*b(w) + o(w)?\nAnswer: -5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (4 - 6 - (14 + -7)) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.052 - 3. Let r = 0.048 + w. Which is the second smallest value? (a) 0.5 (b) r (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 6 = -5*c - g, 2*g - 32 = -5*c. Let z = 392 - 598. Calculate the common denominator of z\/(-72)*c*3\/6 and -5\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Suppose -4*k - x*a = -9*k + 46721, 0 = 4*k + a - 37360. Suppose 0 = 4*j - 24259 - k. What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 6*p + 14. Let r be w(4). Find the second derivative of -8 + 7*l**3 - 242*l - 14 + r + 3*l**5 wrt l.\nAnswer: 60*l**3 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22736935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1130675*b - 6784033. Determine y(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 697987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + d**2 - 5*d + 2. Let g(j) be the second derivative of -j**5\/20 + j**4\/12 - j**3\/2 + j**2\/2 + 26*j. Give 5*g(b) - 3*t(b).\nAnswer: b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -102048961 divided by 3\nAnswer: -102048961\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 3. Let o be q(5). Let d = 13 + -27\/2. Which is the closest to d? (a) o (b) 3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.9 - -1.1. Which is bigger: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 515751502?\nAnswer: 515751471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 9492*v - 9488*v = -18987*v - 21 - 28, 0 = 5*v + 5 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33766, 32840, 31914, 30988, 30062?\n\"Answer: -926*d + 34692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71610 and 1708?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:34 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -1\/2 (c) -0.01 (d) 2\/17 (e) -1 (f) 5\/1447\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8\/(-16))\/(3\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -6.1. Let h = -0.1 + -0.4. Let k = -5 + 9. What is the nearest to 0 in h, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 10*z**2 - 17*z - 3. Let q be l(3). Let s(k) = 2*k + 39. Let x be s(q). Suppose x*t - 307 = 71. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 64*u + 2. Let h(k) = 1023*k + 33. Let j(l) = 2*h(l) - 33*o(l). Let d be j(-3). Calculate the highest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 67, 156, 281, 442?\n\"Answer: 18*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:57 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6. Let u be i(0). Let b be (10\/4)\/((-3)\/u). What is the third derivative of 2*v**2 + 4*v**b - 5*v**5 - 4*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 912504858.9 to the nearest ten thousand.\nAnswer: 912500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 4. Let r be 10\/5 + 5\/1. Is 10 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hob when three letters picked without replacement from {b: 1, g: 1, h: 7, o: 2, r: 1, t: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 465 + 134328?\nAnswer: 134804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.1, 166102\/5, -4 in decreasing order.\nAnswer: 166102\/5, 0.1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10314*d**3*k + 2942*d**3 + 8*d + 1 with respect to k.\nAnswer: 10314*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-295)\/(-295)*2*3\/14. Factor n*d + 0 - 1\/7*d**3 - 2\/7*d**2.\nAnswer: -d*(d - 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 - 4*g - 3. Determine v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-279)\/(-18))\/(-31) + (-10)\/12)*45\/4410?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51840.35m to centimeters.\nAnswer: 5184035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 219 - 96*o - 90*o - 75*o.\nAnswer: -261*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*m + 8*m**2 - 106*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 972 - 971. Which is the nearest to 27? (a) 4 (b) 0.05 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**3\/3 + o**2\/2 - 14. Let w(v) = v**2 + 2. Let d(u) = -u**2 - 1. Let f(m) = 2*d(m) + w(m). Determine 3*f(j) - y(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 6, 5*d - 10 = -2*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2484*v**2 - 2*v**3 + v**3 + 1346*v**2 + 1138*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vadeaxedr. What is prob of sequence xv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 40. Which is the closest to f? (a) 2 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 236411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + 5. Let w = 3 + 0. Let y(g) = -8 - g**w - 5*g**3 + g**3. Let q be 4\/16 - (-33)\/(-4). Calculate q*s(h) - 5*y(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -143739723 and -5.\nAnswer: -143739728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n**3 + 14*n**3 - 26*n**3)*(-3 + 3 + 4*n).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.045, -4\/3, 1\/6, -0.02 in descending order.\nAnswer: 1, 1\/6, 0.045, -0.02, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:54 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(27)\/(sqrt(90)\/(sqrt(10) + 3*sqrt(10)))*6)**2 + -4 + (sqrt(48) + 3)**2 + -5).\nAnswer: 24*sqrt(3) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-90) - (-104)\/(-10). Let c = b + 12. Suppose 0 = p - c, -2*x - 4*p + 0*p = -16. Solve -x*n = -0*s + 2*s + 22, s - 5*n - 24 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 16. Suppose 149 = 3*d - j, 53 = -3*d + 4*d + 3*j. Let x = d + -28. Calculate the highest common divisor of o and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*1)\/(28\/154)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -93\/4102?\nAnswer: -93\/4102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 264, -5\/4, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 + 7624*j**4 + 19715490*j**3 + 18127272800*j**2 + 2158869795125*j = 0. What is j?\nAnswer: -2495, -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2911374 or 2911382?\nAnswer: 2911374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 2288?\nAnswer: -21\/2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*m - 12 = -b, 12 = -4*m. Are b and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746516?\nAnswer: 2, 3, 145543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109558074 and 2379.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88559, -177079, -265599, -354119, -442639?\n\"Answer: -88520*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 2*k. Let j be (-3)\/(5\/10 + -2). Let b be o(j). Find the common denominator of 67\/24 and (b - 0) + 356\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6057, 0, 4 in ascending order.\nAnswer: 0, 4, 6057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 1 + 0 - 3*h**2 - 1 - 6*h. Let d be v(-5). Suppose -2*a = -d*a + 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.2, -4 in descending order.\nAnswer: 14, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -75.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 11*u**2 + 25*u + 79. What is k(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -2. Let r = -43 + t. Let x = 28 + r. What is the third biggest value in -0.5, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46843 divided by -5?\nAnswer: -46843\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/3 - (1 + 2). Let n = -8 + d. Let t(f) = 7*f**2 - 5*f + 5. Let x(y) = -3*y**2 + 2*y - 2. Let h(o) = n*x(o) - 2*t(o). Let q(j) = 4*j. What is h(q(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, -21, 17, 29 in ascending order.\nAnswer: -21, -16, -5, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 5*d - d**2)*(-29 - 8 - 33) to c*d**2 + f*d + b and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12476.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/(-2 - (-2 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Suppose 0 = 5*c + 5 + t. Let p = c - -5. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -19, 1 in decreasing order.\nAnswer: 8, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12609*f + 30838 wrt f.\nAnswer: -12609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:59 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10 - 1 - (27\/((-108)\/(-56)) - 75905)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 21\/21605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let z be 4 + -1 + 256\/(-32). Let j(b) = -b**3 + 5*b**2 + 1. What is z*t(q) - 2*j(q)?\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428414*x**2 + 124369*x**2 - 364098*x**2.\nAnswer: -668143*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 + t + 9. Let q(o) = o**3 + 6*o**2 + o + 10. Let x(s) = 5*b(s) - 4*q(s). Suppose 4*w - 2*p = -20, -4*p = -5*w - 21 - 1. Calculate x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36473681, 36473677, 36473673, 36473669, 36473665?\n\"Answer: -4*b + 36473685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(18\/5)\/z*z\/(z**(11\/5)\/z))\/(z\/z**12*z)**(1\/19) assuming z is positive.\nAnswer: z**(278\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 216. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 + -131. Let h = -16 - -28. Suppose h = 4*k - 4. Calculate the remainder when j is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h + 2*r - 58, 0 = -2*h - 4*r + 44. Suppose 0 = -3*m + 6 + h. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 28 = -5*o, 2*x = -4*o - 25 + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Suppose 6*a - 1 = 20*a + 55. Sort h, 6, -5, a in decreasing order.\nAnswer: 6, h, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6955c8 (base 14) to base 16\nAnswer: 36bdec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w*z**4 + 2*w*z**3 - 39744*w*z**2 + 28404*z**4 + z**3 + 22*z wrt z?\nAnswer: 96*w*z + 12*w + 681696*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 6*b**2 + 3*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*b**2 + 49*b**2 - 7*b**3 - 1 - 723*b**2 - 304*b**2 - 517*b**2.\nAnswer: -7*b**3 - 1378*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 3*c - 3. Let t be h(-2). Suppose -7*d = -2*d. Suppose -14 = 2*r - 5*g, d*r + 4 = r + 3*g. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + h - 1 = 3*n, h = -4*n + 1. Suppose -73*c + 1507 - 167 = 262*c. Solve 2*y - c*s + 14 = n, -y - 4*s = 4*y - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/660*4*(-224)\/168.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1717\/45 - 208\/5. Let x = v - -11\/3. Solve -x*j**2 + 0 + 2\/9*j = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15991*f*g**2*n + 13*f*g - 2*f*n - 3*f - 69*g*n - 2*n wrt g?\nAnswer: -31982*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 14*g - 3. Let n be 180\/(-26) - (721\/(-91) + 8). What is o(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (36 - 5) - 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 30. What is the third biggest value in 8, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*n - 241*n - 321*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 476 - 473. Suppose -3*t = -h*r + 150, -4*t + 30 - 182 = -3*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1661*b - 1647*b = 28 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 884991 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*1)\/5*-2. Let a(j) = -3*j**3 + 11*j**2 - 2*j - 9. Let x be a(6). Let y be x\/(-231) + 18\/22 + -1. What is the third smallest value in 4, y, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14271553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -34 - -2 - (489 - 624)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, -3, -2 in descending order.\nAnswer: -7\/6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-3 - (1 - 2)). Suppose 30 = b*r + 3*r. Suppose -r*v + 3*v + 78 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4\/(-4) - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 7. Let z be l(6). Let j be ((-1)\/(-2))\/z*0. Suppose -5*d + 2*d + 15 = j. Let k(g) = g**2 - 3*g - 2. Determine k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113a (base 11) to base 5\nAnswer: 21440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)\/(w*(w\/w**(-3))\/w) assuming w is positive.\nAnswer: w**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38361*r**3 + 12*r**2 + 0 + 0 - 11*r**2.\nAnswer: -38361*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 e when four letters picked without replacement from {n: 6, e: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2478599\nAnswer: 4957198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((117\/(-36) - -9) + 0)\/((-6)\/24).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let z(b) = 6540*b**2. Determine z(w(p)).\nAnswer: 6540*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**35)\/(t*t**(-1\/48)*t))\/(t**35*t*t**13*t) assuming t is positive.\nAnswer: t**(-767\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -95. Suppose 5*d - 1271 = 3*o, -282 = -5*d - 2*o + 1004. What is the highest common divisor of d and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -89*q**9\/504 - q**8\/84 + 151*q**5\/30 - q**2 + 141. What is the third derivative of w(a) wrt a?\nAnswer: -10680*a**3 - 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, l: 2, p: 5}. What is prob of sequence bl?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10*-8)\/((-40)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6948, -6949, -6950, -6951?\n\"Answer: -i - 6947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.071, 29, 0.2?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + 28. Let z = j - 49. Let x = 37 - 21. Calculate the remainder when z is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 77 = 4*h, 83*h - 80*h - 48 = -k. Solve 42 = h*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-3))\/56*4. Which is the nearest to t? (a) -7 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 50*v**2. Let u(i) = -110*i + 26*i + 23*i + 27*i + 30*i. Give u(q(o)).\nAnswer: -200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 5*x = -141, -51 = -3*w + 73*x - 77*x for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 670?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -0.5, 40\/11, -2.7, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 36 + 16 + 20.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -13. Suppose 2*p + 2*q = f, 6*p - 2*q = 2*p + 118. Suppose 114*n + p = 115*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4342, 8432, 12522, 16612, 20702, 24792?\nAnswer: 28882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*d + 10 = 0, -2*f + 5*d - 874 + 887 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**3 + 2*h**2 + h - 4*h**3 - 5*h**3. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1956 - -5a9?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -164. Let q(h) be the first derivative of -13\/4*h**4 - 2\/3*h**6 - 12\/5*h**5 + r*h - 1\/2*h**2 - 2*h**3 - 1. Factor q(c).\nAnswer: -c*(c + 1)**2*(2*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 5, q: 3, u: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010000100111 (base 2) in base 6?\nAnswer: 314411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 6163*o - 331932. Calculate q(53).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + -3)\/24)\/((-164)\/(-492)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 1\/3*q**3 + 6*q - 3\/2*q**2 + 14. Give w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 71*z + 71*z + 14*z**2)*(-31*z**2 + z**2 - 14*z**2 + 11*z + (-2*z + 2 - 2)*(-1 + 1 + z)) as a*z**3 + b*z**2 + x*z**4 + s*z + y and give a.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let b = v - 2. Suppose b*r + 5 = 55. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123110121 (base 4) in base 14?\nAnswer: 9a453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let j(n) = -n**2 + 2*n + 2. Let x(c) = -2*c**2 + 5*c + 5. Let a(m) = 5*j(m) - 2*x(m). Determine a(g(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 8 + 14. Let b be -2*(-3)\/z + -222. Let x = b - -318. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63, 2\/5, -1, -2, -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -489 (c) -0.3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215123594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -3, -4\/3, 16, -0.16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 3*q**2\/2 - 4*q + 3. Let f be a(8). Calculate the greatest common factor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:04 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 260 in decreasing order.\nAnswer: 260, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s*s**16*s*s))\/s)**(2\/57))**(-44))**37 assuming s is positive.\nAnswer: s**(19536\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143036844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 8\/4) + -2. What is the smallest value in -1\/3, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from cumumuuczzc?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34779893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/30 - 13*w**2. Let j(v) = -4*v. Calculate y(j(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -832.1 - -832. Put 0.5, 3, a, -163 in descending order.\nAnswer: 3, 0.5, a, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**2*x**3 - u**2*x - 254130*x**3 + 235475*x**2 wrt x?\nAnswer: -24*u**2 - 1524780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -161, 4, 0.02, -0.4 in ascending order.\nAnswer: -161, -0.4, 0.02, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**2)**(-2\/5) assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/(-2)*-2*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, 0.1, 5, -3491 in increasing order.\nAnswer: -3491, -214, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 68*s**4 + 688*s**3 - 17456*s**2 + 81216*s - 64512 = 0. Calculate s.\nAnswer: -16, 1, 6, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:34 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -1 + (-8 - (61 + -64))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o + o. Let x(f) = f**2 + 6*f + 5. Let v be x(-4). Sort o, v, 3 in decreasing order.\nAnswer: 3, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let s(a) = a**2 - 2*a - 8. Let v be s(3). Let w be -4*v\/10*(-1 - -3). Suppose w*q + 5*t = t + 24, 4*q - 5*t = -12. What is o(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by -382?\nAnswer: -174\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.685 - -0.585. Let s = n + 46.9. What is the closest to 2\/3 in s, 3, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from ddhddnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from pninnppipppnnpnpp?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(24)\/(sqrt(3)*3) - sqrt(8)) - (sqrt(272) + sqrt(272) + sqrt(272) + -1 + sqrt(272))*4.\nAnswer: -131*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173*x**4 - 2*x**3 - 9*x - 11627?\nAnswer: 692*x**3 - 6*x**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2707038216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 6832680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6422853 is divided by 6422839?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.854469 millilitres to litres.\nAnswer: 0.000854469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:43 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-1148))\/((-17)\/(-119)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22440 (base 6) to base 12.\nAnswer: -1a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -3793, -2, 1996?\nAnswer: -3793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10689852 + 4?\nAnswer: 10689856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 6 = -3*c, 2116*c + 1 = 4221*c - 2108*c + 2*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -25, 2, -32\/9, -1, -2\/7 in decreasing order.\nAnswer: 2, -2\/7, -6\/11, -1, -32\/9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-2 + (17 - 6))) + (1 - -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/840*q**6 + 1\/140*q**5 + 0*q - 1\/84*q**4 + 0*q**3 + 0 + 32*q**2. Factor v(s).\nAnswer: -s*(s - 2)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63129?\nAnswer: 3, 11, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 725728 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 + 2*d + 1. What is x(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 + 3*q - 2. What is the least common multiple of (1 - -1) + 48\/6 and v(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 816487 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34036065731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.4982 litres in millilitres?\nAnswer: 81498.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(5 + 1 + 0 + sqrt(832))**2 + 2.\nAnswer: 288*sqrt(13) + 2606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -609.6 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48502817213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 19*n - 27. Let d(p) = -4*p + 52. Let k be d(9). Calculate the remainder when x(k) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**4 - 7282*y**3 - 26644*y**2 - 29048*y - 9680 = 0. What is y?\nAnswer: -1210, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -912*d**3*z**2 + d**3*z - 137*d**3 - 2*d**2*z**2 - 2*d*z**2 + 92581*z**2 - z + 1 wrt d?\nAnswer: -5472*z**2 + 6*z - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 220\/(-33)*(-12)\/(-5). Let t be (-2)\/(-6) + 232\/15. Let u = t + y. What is the nearest to 0 in 0.6, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 1 - 125. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*u - 104*u = 49900000. Round u to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 + 5*x - 3. Let q be h(-6). Suppose 34*u = 33*u + q. Is u\/(-4)*(-16)\/6 + 1621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554063555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4040 - 131?\nAnswer: -4171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*n - 20, -11 = -4*n - 2*w + 5. Solve -n*a = 4*s - 4, -a = -2*a - 2*s + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5711*q - 245574. What is b(-43)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/4431131925 or -1?\nAnswer: -2\/4431131925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 3*l + 0*l + (l - 2*l - l)*(1 + 1 - 4) + 0*l + 0*l - 2*l - 3*l + 2*l + 3*l - l + 2 + 0*l + 0*l.\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (87 + -3)\/4*(-20)\/(-35). Let f = 94 - 46. What is the greatest common factor of k and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 - 5*u**2 - 3*u + 3. Let o(l) = -8*l**3 + 10*l**2 + 7*l - 7. Let r(z) = 3*o(z) + 7*s(z). What is the third derivative of r(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.018? (a) -2\/7 (b) -1\/8 (c) 28.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/n**(-38))\/n)**47)**(-4\/5))**(3\/7))**(-25) assuming n is positive.\nAnswer: n**(107160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1412?\nAnswer: 3\/1412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15850920 rounded to the nearest one hundred thousand?\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 2128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127295771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 67040?\nAnswer: -2011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-6)*30\/(-70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6408*m + 2338*m - 4765*m + 4037*m - 5 + 8521*m.\nAnswer: 16539*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6227096 millennia in centuries?\nAnswer: 6.227096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93412 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19*q - 616. Let p(g) = 4*g**2. Determine r(p(o)).\nAnswer: 76*o**2 - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*g**3 + 5 + 0*g + 3 - 7 + 2*g**2 + 4*g + 0*g to r*g**3 + z*g + m*g**2 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1 - 2*a + 5*a**2 + 10*a**2 - 15 - 9*a**2. Calculate v(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5023 + -1?\nAnswer: -5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*a. What is n in -2*n**2 + 3 - n**4 + 3*n**4 + 10*n**a + 20*n**2 + 1 + 14*n = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6*w - 18. Suppose -s + 0*q + q = -8, -w = 2*s + 4*q. Let t(k) = 4 - k - s + 0*k + 6*k**3 - 3*k**3. Give t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 5 (b) -0.3 (c) -0.07 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 - 4*x. Let h(i) = 158479 + 8*i**2 - 5*i - 2*i**2 - i**3 - 158479. Determine 2*h(r) - 3*m(r).\nAnswer: r**3 - 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.14 + -496123.\nAnswer: -496126.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/12 + l**3\/3 + l**2 + 7*l. Let g be v(0). Solve -3*m + 1 - 2 = -4*x, 2*x + g = 2*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -355, -696, -1023, -1330, -1611?\n\"Answer: o**3 + o**2 - 351*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.166 * -34.9292\nAnswer: 5.7982472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114.6 - 99.6. Put z, 2, 5 in descending order.\nAnswer: z, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-9)\/3)*-5. Let p(x) = -23 + 3 + 1 - x + 18. What is p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Let x = -5 + 5.4. What is the closest to 1\/2 in 0.2, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -26. Suppose -5*y - 60 = 5*f, 0 = 3*f + 2 - 8. Let u = k + y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -2. Let v = u - -5. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 9:34 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1118 and 6407?\nAnswer: 166582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/104 - (-1)\/(-8). Let w be (-14)\/78 - 2\/(t + -7). Find y such that 0 + 8\/13*y + 8\/13*y**2 + w*y**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -1447\nAnswer: -72\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert e2 (base 16) to base 11.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51236563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + (-2)\/(-2). Let u(d) = -3*d + 3*d - b*d. Let a = 14 - 17. Calculate u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkacigd. Give prob of sequence kcai.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 + -391. Let s = -206 - l. Which is the closest to s? (a) 1 (b) 5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93051995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 40*y + 24. Let c(i) be the first derivative of 0*i**4 + 0*i + 14\/3*i**y - i**5 - 10 + 0*i**2. Find the third derivative of c(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(26))\/sqrt(2) - (2 + sqrt(325)).\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2 = -2*h, 154*o + 5 = -2*h + 157*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -400*r + 10. What is the hundreds digit of s(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-8)\/(336\/(-252))*4\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-32)\/(-12) - (-732949)\/(-66). Let k = 11104 + t. Find the common denominator of (-6)\/15 - 123\/(-70) and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/2 + 23\/6. Let n = 0.9 + 1.5. Let u = 2.6 - n. What is the nearest to o in -4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3384 divided by -1692?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o + 10*o + 59*o - 147 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 0*o**2 + 0*o**2 + (2 + 1 - 4)*(o**2 + 0*o**2 - 2*o**2) + (-2 + 3 + 1)*(-o**2 - 3*o**2 + 2*o**2) in the form k*o**2 + p + n*o and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 14) to base 12.\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 22*o + 5. Let a(h) = -3*h**2 + 20*h + 4. Let g(n) = 7*a(n) - 6*z(n). What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goovgogg. What is prob of picking 2 o and 2 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g - 46. Determine q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 60408*a**2 + 16*a + 12. Let j(w) = 60409*w**2 + 15*w + 13. Let s(k) = 3*b(k) - 4*j(k). Let o be s(11). Round o to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 6*(sqrt(11) - ((sqrt(44) + sqrt(11) - sqrt(11))*-4 + sqrt(11) - sqrt(11))) - (sqrt(352)\/(sqrt(48)\/sqrt(6)))\/sqrt(4)*-3)**2.\nAnswer: -214458 - 1368*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 7*z**2 - z + 3. Suppose -21*p + 154 = p. Calculate b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124952 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6275 + 18462. Let q = k + -7270. Let i = q - 78625\/16. Find the common denominator of -37\/16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7309.958 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-8))\/((-297)\/(-24))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3894 divided by -1947?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/130 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {q: 1, t: 1, i: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175244 is divided by 4381.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 64*w + 433. Let i be v(6). What is the greatest common divisor of 1963 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 3*f)*(-2 + 2 - f) + (0*f**2 + 0*f**2 + 2*f**2)*(1 + 1 - 3) + 2*f - 3*f**2 - 2*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 7*k = 20*x + 115, -2*k = -x - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:41 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2891*p + 7069*p + 7191*p - 1. Let a be c(-2). Let y = a + 49303. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1458323\nAnswer: 8\/1458323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 669 + 2484 = 0. Suppose 0 = -5*f + f + 132. What is the greatest common divisor of z and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8*g + 7 = 0. Suppose -q + 2*a = 2, -2*q = -2*a - 4 - 0. Put 1, q, g in increasing order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 16. Let o be 1*(12 + (3 - 5)). Is b(o) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(245) - (sqrt(245) + (sqrt(245) - (1 + sqrt(245)))**2)) + 1) + 2 + 2 + 2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080358.653 to the nearest ten thousand.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1764 and 61683?\nAnswer: 36269604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnhnfmhhmmommnnmmhmm. Give prob of picking 1 m and 1 n.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3757341 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 76951*i + 76951. Determine y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-35))\/(26\/65).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-2)\/6 + 0). What are the prime factors of -3 + (3 + m)\/4 + 42?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2635 and 4960?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 630\/20*2\/(-4)*-4. Suppose 2*s - 30 = t, t - 2 = -0. Let x = s + c. List the prime factors of x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:39 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357685.73 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33203069, -66406150, -99609231, -132812312?\n\"Answer: -33203081*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -2. Let r = y - 9. Let l(t) = 4*t**2 + 4*t - 4. Let i be l(r). Solve i = 2*q - 4*p, 0 = -4*q - p + 3 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 1629.6793.\nAnswer: 1629.4793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.07.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*z + 43 + 64, -3*s - 2*z = 308. Let v = s + 106. Put v, -0.1, -14 in increasing order.\nAnswer: -14, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2018 = 88*i + 170 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 + 770000*s**4 + 3850032*s**3 + 6930076*s**2 + 5390066*s + 1540020 = 0. Calculate s.\nAnswer: -2, -1, 385005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 - 2*x**5 - 2*x**5 + (x - x**2 - x)*(2*x**3 + 2*x**3 - 2*x**3) + x**5 - x**2 + 112*x**4 - 112*x**4.\nAnswer: -3*x**5 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10 + (-5)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 2.2 (c) 2\/13 (d) 0.5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3215858 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - m**5 - 5 + 0 - m**5 + 0 + (-3*m**4 + 2*m**4 - 2*m**4)*(-m + 0 + 0) + 3*m**5 - 6*m**5 - m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2557)\/(-6))\/(53\/318). Suppose -o*n + 196 = -2555*n. Calculate the remainder when n is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1373*r**3 + r**2 + 30*r - 175. Is n(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 61. Give h(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 857460 and 1116?\nAnswer: 2572380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1823417 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*39*528\/936.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koeeeeetoeeekc. Give prob of sequence kke.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(9 + 21 + 54)*(3 - 3 - 2*b).\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - 8*o**2 - 4*o - 11. Let a(q) = -q**3 - q - 1. Let f(k) = 4*a(k) - m(k). What is f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + 2. Let s(b) = -5*b + 1. Let l(v) = 4*a(v) - 3*s(v). Let q be l(5). Find the second derivative of 7*g**2 + g + q*g**2 - 4*g wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 16527013?\nAnswer: -16527013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 156 - 36. Calculate the common denominator of ((-6)\/4)\/(o\/(-40)) and 89\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4)*d*d*d**(3\/7))\/((d*((d\/d**4)\/d)\/d)\/d)**16)**(-5) assuming d is positive.\nAnswer: d**(-11645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24338042, -48676085, -73014128, -97352171, -121690214, -146028257?\n\"Answer: -24338043*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 803 divided by 2\nAnswer: 803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12f76 (base 16) in base 2?\nAnswer: 10010111101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 32. Let m be n(-18). Let p(w) = -2*w + 32. Let f be p(m). Let t(v) = 2*v - f*v - v. Let i(d) = d**2. Determine i(t(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1740\/(-406)*14\/(-4). Solve -j - x = -1, -u = -2*j + 4*x + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 141735*j - 141731*j, 5*q + 63 = -j for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 975174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/1453 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*s**3 - 7*s**3 - 15*s**3 - 122*s**3 + 10*s**3.\nAnswer: -245*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -27*m**3 + 3*m**2 + 65*m\/3 - 25\/3 = 0?\nAnswer: -1, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 4 = 20*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -22, -19, -16?\n\"Answer: 3*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p - 601 = -624 - 1630 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + 0)*-3 - ((sqrt(612) + 0 - sqrt(612))*4 - sqrt(612)))*-3 + 0 + -3)**2*-3.\nAnswer: -66123 + 648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176 + -171. Suppose 5*n + y*k = -18 - 2, n + 5*k = 0. Let b = -852 - -5974\/7. What is the smallest value in b, n, 2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50994 divided by 2?\nAnswer: 25497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*m = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 2497\/37?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38624)\/(-11360) - (658\/120 - 2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 - -994. Suppose 4*q + q - w = 2*b, -q - 2*b + 118 = 0. Suppose -5*z + q = -0*t - 2*t, 86 = 4*z - 5*t. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from zzzzzxzzzzzzzzxxzxz?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 2) + -1 + 348 + 2. Suppose -5*b - r = -43. Let h = -27 - b. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4815, -4707, -4399, -3789, -2775?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645\/45 + (-7)\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:10 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24)*((-198)\/(-99))\/((-7)\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-2)\/(-6) + -3 + 255 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0 = 8. Let y(r) = 7. Let b(k) = -k + 22. Let s(g) = u*b(g) + 7*y(g). Give s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 34 - 24. Suppose 2*j = -u*j - 40. What is the tens digit of (4\/j)\/((-14)\/1435)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*c + (0 - 1 - 1)*(c - 2*c - c))*(0*c + 0*c - 4*c**2).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5804923 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*p - 144, -19119*c = -19115*c + 4*p + 96 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-420) + ((-9)\/4 - -2)\/((-755)\/(-604))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 102*g - 57 = 100*g, 4*d - 2*g - 42 = 0. Suppose 0 = -13*v + 42 - 3. Solve l + 4 = w, -2*w + 4 = v*l + d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 5, e: 2}. Give prob of sequence zee.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/11649 and -65\/11649?\nAnswer: 11649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1956 - 1377. What are the prime factors of r?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27064 = -98*a - 26672, -5*n + 2*a + 17 = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/4, 387, 1\/4.\nAnswer: -1, -3\/4, 1\/4, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.33 (b) -570 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 34*f - 59. What is the greatest common factor of f and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(4\/13)*q*q*q)\/(q*q*q**(-4)))**(-19))**(-6))**(-1\/12) assuming q is positive.\nAnswer: q**(-1311\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 0.3, 2, 1\/6, 9, -2.11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 502*k - 497*k - 5, 5*b + 33 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449434 or 1?\nAnswer: -449434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/72174 and -43\/4405752.\nAnswer: 101332296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26052084\/7*a**2 + 1292059160*a + 8\/7*a**4 + 25006\/7*a**3 - 2262732176\/7.\nAnswer: 2*(a + 1042)**3*(4*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.3726 + 15.1726. Let w = 287 - 2012\/7. What is the closest to 3\/5 in 1, t, 3, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**48\/(k**(2\/5)\/k)**27 assuming k is positive.\nAnswer: k**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 38*g - 744 = -4*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2596*m - 65*m + 829 = -449*m - 11091 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*x + 70. Suppose -4 = -i + x. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 6. Let j = -226 - -231.05. Let x = j + q. Round x to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. What is the second derivative of -b**2 + 12 + u*b - 12 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -4, 22, 6\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 6*h + 6. Let u(p) = -2*p**2 - 11*p - 11. Let t(m) = 6*u(m) + 11*y(m). Let r(n) = -58*n**2. What is r(t(d))?\nAnswer: -58*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 3. Let m be (-18)\/(-4) - n\/6. Solve 3*q + m = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*h - 2*h**2 - 9*h)*(76 + 68 - 209 - 522) to f*h**2 + w + d*h and give f.\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 5309559?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 9*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-10 - -3) + 12 - 16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -601 - -617. What is the smallest common multiple of w and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 23, 30, 35, 38, 39, 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 - (11 + -19 - -44)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (22\/4 + 2) and -1 + (-14 - 1183\/(-70))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404191481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4\/5 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*z + 5*b + 95, -5*z + 109 = 2*b. Suppose 38*u - 8*u + 13470 = 0. Let g = 452 + u. Calculate the lowest common multiple of g and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 + 9 = 5*f, 2*f = 5*k - 56. Suppose k*j - j + 216 = 0. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.13 times -298348?\nAnswer: -933829.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = -2*k, 4*k = -3*g + 8. Suppose -16*o + g*o + 216 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*o - a, 7*a = -5*o + 9*a + 23. Solve 3*q - o*y + 5 = 20, -y = q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 15*l - 2. Let r be d(-8). Let w = -2 + r. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpaatlplt. Give prob of sequence ta.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*u**4 + 11*u**3 - 122*u.\nAnswer: -84*u**2 + 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 380737*w**4 + 80*w**3 + 5*w**2 - 15917848*w wrt w?\nAnswer: 9137688*w + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g - 2. Let m(y) = -21*y + 2. What is 4*j(x) + 3*m(x)?\nAnswer: 25*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -9*z + 13*z + 24177, z - 4*q + 6040 = 0. Let g = z - -11647. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.091 rounded to the nearest 10?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**18\/(l**(-2\/7)\/l)*(l\/(l**(3\/2)\/l))\/((l\/(l**(-19)\/l))\/l*l))**(-34) assuming l is positive.\nAnswer: l**(289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2321 + 2430. Solve 4*w - 97 = -r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 2226.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 21) + 26 + 5 + -1 - -25.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 + (621\/(-12))\/(-3). Solve -4*l + 0 + 8 = -4*u, -5*u - a = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**11*d**4)**(-30)*(d\/(d\/((d**3*d)\/d))*d*d\/((d\/(d*d**(5\/4)*d*d*d*d))\/d)*d*d)**(2\/97) assuming d is positive.\nAnswer: d**(-98887\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 not equal to 355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 3*q = 6, -2*u + 8 = -q. Let v be u\/3*6\/2. Is 4*23 - (v - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/3)\/((-14)\/(-70)). Suppose 6158 = d*x + 4*q, -914 = -x + 5*q + 306. Round x to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476 = 179*z - 179 + 30 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let o(l) be the second derivative of -11*l**3\/2 - 39*l. Determine n(o(a)).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -122209 times -0.5\nAnswer: 61104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*l = 0, -3*l + 10 = 14*y - 15*y. Sort 1, y, 2, 40 in decreasing order.\nAnswer: 40, y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 divided by -3?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.166?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4 minus -118180?\nAnswer: 118195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 - -6. Let r = 0.2 + f. Let w be -1*(-10)\/160*-2. What is the smallest value in r, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*z - 19, -2*l + 2*z = -7 - 7. Solve l*q = 3*m + 12, -m + 6*m + 1 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -68*b - 109. Let w be g(-5). Let f = 580 - w. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 6. Let r = 85\/3 - 27. What is the closest to -2\/7 in f, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from {g: 1, t: 2, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19913, 79617, 179105, 318377?\n\"Answer: 19892*v**2 + 28*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3.6 (c) -3 (d) 3\/7 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 20*q**2 - q + 30. Let t be r(20). Suppose t = -3*p + 1. Let u = -0.43 - -0.03. Which is the third smallest value? (a) p (b) u (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 18. Suppose 0 = v + 5*f + 3 - 23, -5*f + 30 = 3*v. Solve 2*j - v = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, b: 2, j: 3, z: 1, g: 1}. What is prob of picking 2 y, 1 j, and 1 g?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 - -255. Solve 2*b - 8*b = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(13) + sqrt(39)\/(sqrt(9)\/sqrt(3)) + 4.\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 - 1. Let o be 3\/6*j + 112. Suppose -4*k - o = -861. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455 - 924 - 32*h + 464.\nAnswer: -32*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*x + 573 + 2828 = -2974 - 3545 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20860564*b. Let r(c) = -3*c. Calculate r(k(d)).\nAnswer: -62581692*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14210 - -14240. Let y(b) = -44*b + 1. Let f be y(-1). What is the highest common divisor of f and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25811 != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -873, -3007, -6601, -11685, -18289?\nAnswer: -26443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(3\/(-306)). Is ((-5)\/(-3))\/((-1)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*i - 4*i. Solve 4*r - b = -7, 5*r + 0*b + 3*b - i = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**3 - 18*j**2 - 172*j + 5. What are the prime factors of c(-7)?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17392, 39613, 66666, 98551?\nAnswer: 135268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + w - 1. Let k(n) = -n**2 - n + 2. Suppose -2*a - d + 1 = 0, -3*a = -6*d + d - 34. Give a*o(l) + 2*k(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -24 - 6 - (-3 + 0 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 353, 656, 961, 1268?\n\"Answer: q**2 + 300*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28297237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45139167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(6*4*sqrt(192) + sqrt(192) - (-3 + 0 + sqrt(192)))*-2*-4)**2.\nAnswer: 66355200*sqrt(3) + 6370617600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 7 + 5. Let f be -1 - x - (4 - 1). Let s(t) = -t**2 - 5*t. Let d(r) = r**2 + 4*r. Let c(a) = f*s(a) + 3*d(a). Factor c(y).\nAnswer: y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -9304.61.\nAnswer: -9304.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, p: 1, h: 10}. What is prob of sequence hp?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let s(d) = 50*d - 2510. Calculate t(s(j)).\nAnswer: 2500*j**2 - 251000*j + 6300100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -108369530 to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*-4 - sqrt(130))\/sqrt(10) + sqrt(39)\/(6*sqrt(15)\/sqrt(5)).\nAnswer: 43*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -3, -8, -4, -2 in ascending order.\nAnswer: -98, -8, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhrhrhrrhr. What is prob of sequence hhhr?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14662431 to the power of 1\/2, to the nearest integer?\nAnswer: 3829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 900210*l - 4015035 wrt l?\nAnswer: 900210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v**2 + v + 2. Let h be q(0). Calculate the remainder when 11 is divided by (3\/3 - h) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.02. Let v = -0.634 + h. Let g = -24.054 - v. What is the biggest value in -2, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -8. Let p(v) = -v**2 - 5*v + 5. Let i be p(s). Solve 0 = -g - 2*g + 4*l - 19, -i*g + 2*l - 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/7 + 1880*c**4\/7 - 110*c**3\/7 - 103820*c**2\/7 - 395232*c\/7 - 406080\/7 = 0. What is c?\nAnswer: -940, -4, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 13*c - 130. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(252) - (2*sqrt(252) + sqrt(252))) + sqrt(252)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*l**2 + 272 wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = t - 106, t + 2*t = -4*l + 428. Suppose -5*s - 4*p + 2*p = -753, 4*s - 608 = 4*p. Let a = s + -107. Calculate the highest common divisor of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 9) + -5 - -16. Solve y*u - 9*u + 5*v - 11 = 0, 4*u + 4*v = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/252*3*3. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 - 5*j. Let h(p) = 6*p - 14*p - 4*p**2 + 3*p. Let a(k) = -6*g(k) + 5*h(k). What is the second derivative of a(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/7 - 65\/7. Let l(v) = 2*v**2 + 164*v + 1050. Let j be l(-75). What is the nearest to 9\/8 in j, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/125 in -0.5, 2, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11374?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:13 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 965, 1931, 2889, 3839, 4781, 5715?\n\"Answer: -4*o**2 + 978*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076901094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*(-3 + 3 + 4*b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 429353557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w - 1. Let y(p) = -4*p**2 + 3*p - 4. Let v(s) = -13*s**2 + 10*s - 13. Let t(q) = -6*v(q) + 21*y(q). Let u(g) = -5*f(g) + t(g). Factor u(z).\nAnswer: -(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/319 + -3\/29. Let u = 1.55 - 19.75. Let y = 18 + u. Which is the biggest value? (a) y (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/392 and 79\/10417596.\nAnswer: 20835192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/5)\/(42\/105) + -5. Let x(n) be the first derivative of -n**2 - 3*n + 1. Let l be x(-4). Solve h - g*k = -l, -5*h = -k - 2*k + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 14) in base 3?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 218*p + 7037. Give i(-32).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 4*o**2 + o + 1. Let n be r(-4). Let z(k) = -2*k**2 - 3*k + 1. Calculate z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + -7 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22808.39 hours to minutes.\nAnswer: 1368503.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -46.7, 1\/5, 1\/6, -0.026?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(0*x + 0*x + x**4 + (0*x**3 + 0*x**3 - 2*x**4)*(-1 - 1 + 5)).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 12. What is the common denominator of (-6)\/(4\/78*w) and -17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 10*q - 13*q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -1. Let d be ((-112)\/(-21))\/(4\/66). Calculate the greatest common divisor of d and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(3 - 6) + (0 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 633*r**3*x**3 - 62*r**3*x - r**3 - 3*x**2 wrt x?\nAnswer: 3798*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -122221200 (base 3) to base 10\nAnswer: -13086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*a = 246. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/660 + 2*r**5\/165 + r**4\/44 + 20*r**2 + r. Let m(d) = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:35 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23c1b + 147?\nAnswer: 23d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-9 - (6 + 4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 265257701?\nAnswer: -265257675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*w + 3*c, -5 + 3 = -2*w - 3*c. Let r = 1 + w. Calculate the remainder when 29 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*b - 2*b. Suppose -28 = -b*j - 3. Suppose -2*l + 35 = -j. Solve c - l = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 661*r**3 - 2 - 2379*r**2 + 4*r - r + 2379*r**2.\nAnswer: 661*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -5 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -26?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 9 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6*216\/40. Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 629*f**2 - 7 - 2498*f**2 - 9 + 30.\nAnswer: -1869*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 1 + 4)*(-248 + 51*n + 248) as d*n + s and give d.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = n + 6, -5*n - 4*o + o = 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 18*i - 10735 = -5*p, 0 = i + 4. Suppose -9*o + p = -819. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 86*k + 39. Let t(j) = -j**2 - 86*j - 56. Determine -2*t(b) - 3*w(b).\nAnswer: 2*b**2 - 86*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 1485 = -43*t. What is the greatest common divisor of 3123 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97799901 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g. Let k be c(-6). Let p(l) = 0*l**2 + 4*l - 2 - l + l**2. Let r(a) = -17*a - a**2 + 173 - 5*a**2 - 162. Determine k*r(j) - 34*p(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19a6943 (base 12) to base 4\nAnswer: 110301033003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = o - 16. Let j = -26 + o. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -44\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157 - -976?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23 - -23)*((16\/(-5))\/(-4) + -1). Solve 10*u - 14*u - 12 = w, -5*g - 20 = 5*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -8*j**5\/55 + 6*j**4\/11 - 6*j**3\/11 + 2*j**2\/11 + 17. Factor n(m).\nAnswer: -2*m*(m - 2)*(2*m - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**2*m - k*m - 180*k - 2*m + 230 wrt k.\nAnswer: -10*k*m - m - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c + 1\/3*c**6 + 0*c**2 - 2\/3*c**3 + 2\/5*c**5 + 1 - 1\/2*c**4. Suppose i(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -22. Which is the biggest value? (a) -5 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 2)*(2 + 3 - 2)*(-2*d + 2 - 2) as q*d + a and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 1181640?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.7, 3\/8, -1, 112, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 2*c**3 - 2 - 2*c + 8*c to k + m*c + o*c**3 + f*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 + 9*h + 9 - 14*h - 22 + 6*h. Determine p(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 148. Factor 1\/2*u**5 + 1\/2*u**4 - u**3 - u**s + 1\/2*u + 1\/2.\nAnswer: (u - 1)**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -476*n**6 - n**5 + 38*n**2 - 6*n?\nAnswer: -57120*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 4*t - 4. Let h(n) = -3*n**3 - 9*n - 9. Let w(z) = z**2 + 8*z - 2. Let y be w(-7). What is y*i(j) + 4*h(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 5193, 18064, 43251, 84858, 146989, 233748, 349239?\nAnswer: 497566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/9)*c*c**(6\/13)*c*c)\/(c\/(c*c\/(c**(-15)*c)))**(3\/34) assuming c is positive.\nAnswer: c**(22571\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*m = -7*p - 8, -10 = 2*p - 3*m. Let o = p + 1. Let v(u) = 4*u**2 - u - 1. What is the remainder when 24 is divided by v(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3849.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0)*(i + i - 3*i) + i**2 + 9*i**2 + 0*i**2 - 1 + 9*i**2 + 1.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -90, -5000 in descending order.\nAnswer: -5, -90, -5000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 18, -17, -5 in descending order.\nAnswer: 18, 5, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 1140?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 41959324061770\nAnswer: -41959324061769.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6))\/((-9)\/12). Solve -5*d - 50 = -5*f, -c*f + 13 + 12 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*-6*(4 + sqrt(5)*-2 + -3) + -5.\nAnswer: -65 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 6120.\nAnswer: 471240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189.7 - 193. Let u = -3.29999524 - h. Round u to seven dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*y - 12*y + 9*y + 0 + 2*y + 0 + (-y + y + y)*(-3 + 2 + 2).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -360, -3, -1 in descending order.\nAnswer: -1, -2, -3, -7, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -7*r. Suppose -11*w - 11*w + 374 = r. Calculate the remainder when 453 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/(-3843)*15\/9*117\/(-130).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**4 + 14*r**4 + 21*r**4 + (3*r - 2*r**2 - 3*r)*(-3*r**2 + 3*r**2 - 11*r**2).\nAnswer: 64*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*t*u - 365*u wrt t.\nAnswer: -79*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 2*n**2 + 6*n - 52*n - 2*n**2.\nAnswer: -n**2 - 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -5, 22, -437.\nAnswer: -437, -5, 3, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195468121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 15}. Give prob of picking 3 x and 1 v.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -29. Let p = 23 + t. Suppose -18 - p = -3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 167\/5, 5, 0.1 in ascending order.\nAnswer: -1, 0.1, 0.3, 5, 167\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:00 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333.9 + -336.9. Let y = -531436 - -366690719\/690. Let w = -1\/115 - y. Put w, 0, n in descending order.\nAnswer: w, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(256) + sqrt(256))\/((sqrt(6) + sqrt(12)\/sqrt(2))\/sqrt(3)) + 3)**2.\nAnswer: 144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1952 = 78*y + 84*y - 40*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9) - (-16)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4715183216 - 1381.\nAnswer: -4715184597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*d*d*(d*d\/d**(-41))\/d*d assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 932282210 by -5.\nAnswer: -186456442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 608. Let r be x(0). Suppose -4*a + 160*c - 152*c + 248 = 0, 4*a = c + 164. Calculate the greatest common factor of r and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17091107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14776, -13967, -11764, -7471, -392?\n\"Answer: 116*h**3 + h**2 - 6*h - 14887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = q - 12, -q - 4 = -k - 1. Solve 0*f + 3*f = 3*t - 12, 8 = 4*t - q*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -9, 6, 51, 138?\n\"Answer: 2*k**3 - 3*k**2 - 8*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 10*s - 15*s - s + 2. What are the prime factors of r(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 2071 + 3965 - 6036.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 631417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2139*s - 269337. Give u(126).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/210*-5 + (-60)\/(-14). Solve -p*b = -5*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52547*l = 52534*l + 65 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 8, 4*h = -5*p - 8. Find the first derivative of -2 + 2 - 2 + 1 - 7*k**h wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18 - 108*a**3 + 27*a**2 + 44*a**2 - 2*a**6 - 76*a**2 wrt a.\nAnswer: -240*a**3 - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**4 - 279*v**3 - 20*v**2 + v + 3. Let c(p) = -3*p**4 - p**2 + p. Let g(z) = -c(z) + o(z). What is the third derivative of g(n) wrt n?\nAnswer: -24*n - 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(5\/(-10))*13889\/(-731)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6591 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 452?\nAnswer: -1\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 2. Let c be v(8). Suppose 0*s - 4*d = -s + 66, -c = -2*s + 2*d. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010162 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162160 times 0.3?\nAnswer: 1848648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408853934 to the nearest integer?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 2408, -2, 2 in decreasing order.\nAnswer: 2408, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -29717*a**3 + 2*a**2 - 7*a - 8. List the prime factors of s(-1).\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*k + 19 = 0, -6*y = -3*y + k - 48. Suppose 0 = -13*r + y*r - 400. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -991 divided by 10\nAnswer: -991\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 192.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2562*h - 2679. List the prime factors of p(-9).\nAnswer: 3, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81516 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4944 - 5757583986.7.\nAnswer: -5757588930.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 35*p**2 + 3*p + 5. Suppose 96*t - 99*t + 2*k = -4, -3*t - 2*k + 20 = 0. Let d(o) = 35*o**2 + 4*o + 6. Give t*w(l) - 3*d(l).\nAnswer: 35*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b. Suppose 2*d - 7*d - 80 = b. What is the common denominator of d and 59\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from loggcococgggllg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - -0.06. Let i(q) = -9*q + 12. Let d be i(1). What is the closest to -1 in 4, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2220 and 0.2.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*x + 5496 + 63*x - 258*x + 66*x - x**2 + 61*x as k + u*x**2 + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35\/2 - 18. Suppose -20 = 19*n - 24*n. What is the third smallest value in n, 14, s?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5830007 (base 9) in base 3?\nAnswer: -12221000000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122267040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 5, 10, 17, 26, 37?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 8 - 26. Suppose 0 = -l*z - 3*a - 6, 6 = -z - 3*a. Let u be (1\/4)\/(-8 + 9). Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 9. Let a be u(-4). Let q = a - -13. Suppose q = -w + l + 45, -2*l + 5*l - 37 = -w. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/41 - 104\/451. Let i = -78 + 77.7. Which is the biggest value? (a) 2\/9 (b) u (c) i (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(6\/(-10)))\/((-315)\/(-189)). Put -3, q, -2 in descending order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-8))\/((-2)\/12). Suppose -q = -3*p + 2*p - 3*u, -5*p - u + 3 = 0. Suppose 3*g = p, -4*a = 3*g - 5*g - 452. List the prime factors of a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from chxrhrchch?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3*l**7\/7 + 7*l**4\/6 + 11*l - 14. Let i(g) be the first derivative of p(g). Find the third derivative of i(s) wrt s.\nAnswer: 1080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyww when four letters picked without replacement from {y: 4, w: 3, o: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*(-5 + (-165)\/(-21)). Factor d*f + 0 - 12\/7*f**2 + 4\/7*f**3.\nAnswer: 4*f*(f - 2)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28957 + -28954. Factor 2\/7*b**4 - 8\/7*b + 12\/7*b**2 - 16\/7 + 10\/7*b**u.\nAnswer: 2*(b - 1)*(b + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 98*g + 28*g + 25*g + 28*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 99. Let k be j(19). Let c be (6\/k)\/((-30)\/80). Let q = -0.3 + 1.3. What is the nearest to c in -1\/4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -751 or -750?\nAnswer: -750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d**2 - 85*d - 59. Let x(z) = -5*z**2 - 50*z - 29. Give 3*t(h) - 5*x(h).\nAnswer: -2*h**2 - 5*h - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17817.737 rounded to the nearest ten?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 2\/7 (b) -1 (c) 4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert dde (base 16) to base 3.\nAnswer: 11212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-80 + 89)\/((-3)\/(-2039)) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5*(-5)\/11. Let j = -3.3 - -0.3. What is the smallest value in j, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660903031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9816803 is divided by 971.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(-2*sqrt(7)))\/(sqrt(100) - sqrt(100)*3).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3495 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.983422 rounded to 1 dp?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64562, 129127, 193692?\n\"Answer: 64565*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.67 - 0.13. Let v = g - -3. What is the nearest to -2\/3 in v, -5, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6583350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 7. Let k be r(-5). Let l(c) = -c**2 - 12*c - 11. Let s be l(-11). Put k, s, 1 in decreasing order.\nAnswer: k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/2 + 2813*o**4\/2 - 5615*o**3\/2 - 19685*o**2\/2 + 11238*o + 16866 = 0.\nAnswer: -2, -1, 2, 3, 2811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2. Let n(u) = -582*u. Give n(q(o)).\nAnswer: 2328*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2. Let b(u) = -u**2 + 3. Let j(d) = 2*b(d) + 3*t(d). Let q(v) = 4*v**2 + 2. Let h(n) = -4*n**2 - 3. Let o(f) = 2*h(f) + 3*q(f). Give o(j(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 1483 = -461. Is -108 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*c - 1035*c - 65569 = -293*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000213 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -24.6. Let p = o + -3.4. Let q = -0.2 + p. Is -2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/9 - 4\/6. Suppose -c - 4*c = -2*b - o, c - 3 = -b. Suppose -4*l + 223 = -4*i + 47, 5*l + c*i = 206. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 8372*m - 2823840 = 0.\nAnswer: 370, 3816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f - 2473. Let c = f + 4232. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3 + 239*o**2 - 724*o + 484 = 0.\nAnswer: -242, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701041 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -695, -20, -4, -5 in increasing order.\nAnswer: -695, -20, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014129 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*k + 3*k. Calculate the lowest common multiple of 14 and (-1 - k)*(-12)\/8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -23. Solve -f = -5*h + 13, 3 = -h + 5*f - n*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (36 + -20 - (-12 + 6)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 360881*d - 360871*d + 53 - 108.\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (1 + 6 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0176228 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjmz when four letters picked without replacement from {x: 1, j: 2, g: 4, z: 1, m: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7616l in millilitres?\nAnswer: 23761.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 211, 18 in decreasing order.\nAnswer: 211, 18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, 3*g - 2*s = 2*g + 11. Suppose -7 - 8 = -d + h, 2*h = -d + g. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(126\/24 + 1\/4). Suppose 0 = -3*u - 5*h + 1 - 11, -8 = -2*u + 4*h. Do t and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15946*q = -16247*q - 4515 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 3. Let x(f) = -f + 1. Let b(r) = -m(r) - 3*x(r). Let v(q) = -15*q. Let w be ((-10)\/1)\/(2 + 0). What is w*v(u) + 24*b(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9548 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -153 + 32*j - 5*j - 31*j in the form g*j + f and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -36 + 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 1, 4*d = q - 3. Let c(f) = -15*f**3 - 2*f**2 + 1. Let y be c(d). Suppose 1980 = y*h - 2*h. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(5))\/(sqrt(27)*-3 - sqrt(27)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28 - 26)\/(3\/((-33)\/(-2))). Suppose -g*j + 265 = -6*j. Let a = j - 51. Solve -a = 2*f - f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**13*c*c*c*c*c*c**(4\/17))\/(((c\/c**(22\/9)*c*c)\/c)\/(c*c**0*c)))**(-7) assuming c is positive.\nAnswer: c**(-22148\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 4 - 3*h - 23 - 9. Let i be x(-8). Suppose -2*y - i = -4*r, 0 = 4*y + 4*r + 4. Put 1, y, -3 in descending order.\nAnswer: 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 38. Let t(r) = 7*r + 321. Let j(a) = 13*a + 535. Let q(s) = 3*j(s) - 5*t(s). Calculate q(d(v)).\nAnswer: -8*v - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.08 (b) 2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 464155344 divided by 19398?\nAnswer: 23928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 6 - (0 - 0). Let f = 12 + p. Let c = 63 + -61. Solve -c*r + f*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -5, -7229 in decreasing order.\nAnswer: -5, -34, -7229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1343 + 170. List the prime factors of i.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 4 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, o: 1, w: 1, n: 5, a: 3}. What is prob of sequence aa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 30. Suppose -6 = t*b - 21. Suppose b*k - 26 - 29 = 0. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 + 3*k**3\/5 + k**2 - 3*k\/5 - 4\/5 = 0. Calculate k.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*m = -3071, 0 = 4*a - 5*m - 2038 - 429. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:17 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiffiafa. Give prob of picking 1 a and 1 f.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 7 + 115840*y - 115840*y.\nAnswer: -y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4014*i**3 + 4016*i**3 - 1187 - 8506.\nAnswer: 2*i**3 - 9693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -7\/24*x**4 + 0*x**6 + 0*x**3 + 10*x**2 + 0*x**5 + 2\/35*x**7 + 0*x + 0. Find the second derivative of u(l) wrt l.\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2068?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12387471, 12387473, 12387475?\n\"Answer: 2*p + 12387469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -4.6. Let p = -12 - o. Let m = p + 8. Which is the closest to -2? (a) m (b) 0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26837*v**3 - 26823*v**3 + 107296*v**3 - 26818*v**3 - 26817*v**3 - 3 + 3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -1756, -3138, -5238, -8296, -12552, -18246, -25618?\nAnswer: -34908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2044)\/(-438)*(1\/(-4))\/((-63)\/(-1296)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-9)))\/b**(3\/17) assuming b is positive.\nAnswer: b**(-156\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 - 0.583. Let k = 0.263 + o. Which is the nearest to 2\/3? (a) 4 (b) k (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130405110 + -3101?\nAnswer: -130412211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1629 + 17971\/11. Suppose -5*u - 42 = 33. Find the common denominator of z and (81\/u)\/9 + 166\/(-140).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 times 2745520\nAnswer: -216896080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**3 - 2*v**3 + 16*v - 18 - 61*v - 14 wrt v.\nAnswer: 3*v**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-2))\/(38\/(-380)*5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -26.9383\nAnswer: -4.848894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 89 = 18*r. Suppose -5*l - 2*s = -3*s - 3, l + 5*s = -15. Sort r, l, -23 in increasing order.\nAnswer: -23, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3619 + 9?\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.4866 to zero decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270 a factor of 39042340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + (1*sqrt(60))\/sqrt(6)) + sqrt(9)\/(4*sqrt(48)).\nAnswer: 9*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + u + u = -44, -4*z + 5*u + 68 = 0. Suppose d + z = 3*i, -11 = -i - 2*d - 0. Solve -i*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 11. Let v(x) = x + 34. Let h be v(-12). Suppose -h = -2*p - 18. Let f(i) = -4*i + i + p*i. Give y(f(m)).\nAnswer: m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4 - 11)\/(-1))\/1. Solve 3 = 4*s + q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 112328032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.080054 times -0.08\nAnswer: -0.00640432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 4. Let p be k(0). Suppose -q + p = -10. Let h = 357 - 345. What is the least common multiple of h and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4 + 4)*(-4 + 2 + 3)*(0*t + 2*t + 7*t)*(13 + 2 - 6).\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 1, -38, -16, -3 in descending order.\nAnswer: 2, 1, -3, -11, -16, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, -2\/83, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r - 2. Let h be (-5)\/(-2) + 0 + (-99)\/198. Let o(n) = -3*n + 1. Let x(s) = h*t(s) + 4*o(s). What is x(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 - -97. Let t = f + 492. What are the prime factors of t?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from echtvcetvjtjvvh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 take away -2.1457?\nAnswer: 433.1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b - 20. Suppose -f = -5*o + 292, o = b*f - 12 + 56. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 6. Let b(v) = 5 - 7*v + v + z*v**2 - 5*v**2 + 3*v**2. What is b(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5843736.\nAnswer: 2, 3, 81163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Solve -l - k*u = 8, -3*u = 3*l + 9 + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = 5*n - 936. What is the greatest common divisor of n and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 5*z + 4*z**2 + 2*z**2 + 2*z**2 + 5. Let v be (-8)\/156 + 1552\/(-156). Let i(o) = 4*o**2 + 3*o + 3. Determine v*i(h) + 6*w(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 867406 to the power of 1\/2, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -96?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*d + 60, 5*k = -d + 4*d + 104. Suppose -k*w + 2584 = -5*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 2. Let s be m(2). Suppose -s*g = -0*g - 16. Calculate the common denominator of 41\/12 and (-98)\/(-20) - g\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2649, 5393, 8137, 10881, 13625?\nAnswer: 16369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28144 - 84394\/3. Let v = 3576 - 28543\/8. Calculate the common denominator of t and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 13*w - 70. Let h be a(-10). What is the hundreds digit of (-13676)\/h - 4\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = 30. Let g = -16 - -105. Suppose 5*t + 76 = 2*q, 4*t + g = -2*q + 21. Is t != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26435147 to the power of 1\/2, to the nearest integer?\nAnswer: 5142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0656992 take away 0.4?\nAnswer: -0.3343008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 - -787. Let b be 6\/9 - (-61)\/3. List the prime factors of v\/b + 2\/(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(243) + -1 + sqrt(243) + -5 + sqrt(243) + 3)*-2.\nAnswer: -252*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2a137 (base 16) to base 7\nAnswer: 1315313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 6*t - 3*t - 10*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4909 + -20?\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4618, 4623, 4628, 4633, 4638?\n\"Answer: 5*s + 4613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51818, 103643, 155478, 207323, 259178?\nAnswer: 311043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*z**2 + 28*z**2 + 10*z - 6*z - 4*z.\nAnswer: 174*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -21*k - 226. Let u be f(-11). Solve 4*x + 1 - u = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17237*k + 5040 = 17317*k for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Solve 4 = -w*s - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89797853 or 89797852?\nAnswer: 89797852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 7, 33, 77, 145, 243?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 875, 896, 945, 1028, 1151?\n\"Answer: o**3 + 8*o**2 - 10*o + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8487*f - 4. Let p(n) = -8486*n - 3. Let g(w) = -5*b(w) + 6*p(w). Is g(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1435\/(-1722)*(27\/30)\/(-3)*(-224)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*n**5 + 7*n**3 + 231*n?\nAnswer: 1960*n**3 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*r - 4*k - 0, 0 = -4*r + 4*k - 4. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**8\/72 + 26*j**7\/315 - j**6\/9 - 4*j**5\/45 - 3*j**2. Factor x(c).\nAnswer: -2*c**2*(c - 2)**2*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 193457, 193442, 193427, 193412, 193397?\n\"Answer: -15*z + 193472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -4. Let x be (-1 - -4 - 2) + a. Suppose 2*j = -2 - x. Sort j, -4, -2 in increasing order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - k - 11, -3*j = 4*k - 0 + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 14, 2, 258, 3 in decreasing order.\nAnswer: 258, 14, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10439483\/156 - -66920. Find the common denominator of l and -1\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let t(s) be the second derivative of 19*s**3\/3 - 242*s. Calculate w(t(c)).\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 + -139.2. Which is the third smallest value? (a) -1\/2 (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*9*250\/3. Let q = c + -176. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*p + 290, -3*u = -5*p - 71 - 224. Let j = -92 - -33. Let y = u + j. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:32 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2248 and 1726.\nAnswer: 1940024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11042 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36507 divided by 36507.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*z = -32, 2*z = -5*m + z + 40. Suppose i + m = 3*i. Is 2 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28208123 and 1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u - 5*u - 6*u. Let o(j) = -j**2. Determine o(b(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014983 to seven decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33146 is divided by 381.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0 - 3*c**2 + 1\/4*c**4 + 4*c + 0*c**3 - 1\/20*c**5 - 1\/40*c**6. Determine d so that i(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v + 12. Suppose -v*r + 32 = -0*r. Let o(m) = m**2 + 32. Let q be o(0). Calculate the greatest common factor of r and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 16. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53162658557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2. Let n(r) be the second derivative of -2*r**3 - 3*r. Give x(n(l)).\nAnswer: -432*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 69*c**2 - 4*c - 5. Let v be k(-4). Suppose 9*l = 4850 - v. What are the prime factors of l?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -150, -155, -162?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1.2.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1\/11*m**5 + 2283\/11*m**2 + 1200\/11 + 45\/11*m**4 + 607\/11*m**3 + 2920\/11*m = 0.\nAnswer: -20, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112031 (base 4) in base 9?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141.0469 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) - (sqrt(1000) - 2*sqrt(1000)) - sqrt(40))\/(sqrt(24)\/(sqrt(48) - sqrt(3)) - sqrt(8)).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:12 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2060 - -4661. What is the remainder when z is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = 5*q, 206 - 197 = -2*q + 3*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 340 and -0.1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 108*k**3 + 112*k**2.\nAnswer: -4*k**2*(k - 1)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1 (c) -1 (d) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*6*(sqrt(84) + 3*sqrt(84)))\/(-6*(3*((sqrt(144) - (sqrt(144) - 1*sqrt(144))) + sqrt(144)))\/sqrt(12)).\nAnswer: -40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. Let b be (-17 + 29)*d\/(-6). Put b, -4, -5 in increasing order.\nAnswer: b, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1763 - 22283 = -40*p. Calculate the greatest common factor of 57 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/3))**(-8) assuming u is positive.\nAnswer: u**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d + 5*l - 8, 0 = -3*d + l - 4. Let t = 2.13 - -0.27. Let h = -2 + t. Sort d, -3, h in descending order.\nAnswer: h, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 4 + j - 1. Let g be q(-5). Let m = 10 + g. 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: How many minutes are there between 9:09 PM and 6:33 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*r**2 - 4*r**3 - 10*r**2 - 3*r + r**4 - 3*r**4 + 2*r**3 as w*r**3 + b + z*r**4 + f*r**2 + a*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21213696*k**3 - 4*k**2 + k + 706865 wrt k?\nAnswer: 127282176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**7\/294 + 2*f**6\/35 + 2*f**5\/5 + 32*f**4\/21 + 24*f**3\/7 + 32*f**2\/7 + 293*f. Factor t(l).\nAnswer: (l + 2)**4*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = s - 2, -3*s = 56*c - 57*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*a + 20, 2*u + a + 10 = 3*a. Suppose 5*d - 2*z - 1 = 2*d, -z - 2 = u. Which is greater: d or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v - 4. Let i = -34 - -53. Let q = -33 + i. Let f(s) = -3*s - 1. Calculate q*f(u) + 4*n(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**15*m**9 assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101 - 111111?\nAnswer: -11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -13 - (-2 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11263 and -0.06?\nAnswer: 11263.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/189)\/(3\/(-6)). Which is smaller: d or -1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 2805.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -8, 210, 512, 898, 1368, 1922?\nAnswer: 2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 0, 5*w = -i - 149 + 134 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 1.428\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -6 (c) 20 (d) -1 (e) 0.3 (f) 0 (g) -801\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4928)\/24)\/11*2925\/(-3120)?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.77 + -2.7436. Let m = b - 0.4264. What is the second smallest value in m, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2297 and 11?\nAnswer: 25267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1301*c + 3. Let i(t) = t. Determine i(o(v)).\nAnswer: -1301*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1424 (base 5) to base 14.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:59 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*l - 5*l. Let t = 14 - l. Let c = -4 - t. Solve -8 = -4*g + c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 3*a + 5. Let n be t(-4). Is n not equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - 13*s**2 + 20*s - 20. Let v(o) = o**3 + o**2 + 2. Let a(l) = -4*v(l) - x(l). Find f such that a(f) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-5)\/1 + (94 - -4)). Which is bigger: n or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3737352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*h*k**2*v + 5*h*k - 2605*h*v - 7*h + 33492711*k**2*v - k*v - 10*k - v wrt k.\nAnswer: 28*h*v + 66985422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1138*r - 7962. Give s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323 - -20?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(2)*-1)\/(-2*(sqrt(4) - sqrt(64))) - (sqrt(112)\/sqrt(4) - (sqrt(1008) + -2 + sqrt(1008)))**2)*-1.\nAnswer: -527*sqrt(7)\/6 + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19597 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-2 + 1)*4. Suppose -a = 2*a + 3*t + 24, -2*a = -x*t + 6. Is a\/15 - 1012\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4136)\/(-2115))\/((-216)\/(-1620)).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1 + (-1 - 2*w + 1)*(1 - 1 - 2) + 5*w - 4*w + 0*w + w - 1 + 1)*(3*w**2 + 24*w**2 - w**2).\nAnswer: 182*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = n + 204*c - 203*c, -3*n + 4*c + 19 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 265?\nAnswer: -9\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -1 - (2 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-196)\/(-21). Is k not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 33*b**2 - 49*b + 41. Is i(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25749480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7939*g. Let r(d) = -2*d**2 + 1141. Give z(r(h)).\nAnswer: -15878*h**2 + 9058399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.5366015 to three decimal places.\nAnswer: 38.537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -459, -1167, -2175, -3483?\n\"Answer: -150*i**2 + 42*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 8*u + 340 = 0. Calculate the greatest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:05 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -3\/8 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 95. Let i be -3 + (-6)\/(-24)*y. Solve -u + 3*u = -i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3 + 26817*c**2 + 107229*c + 80415 = 0. Calculate c.\nAnswer: -8935, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1000220110 (base 3) to base 14\nAnswer: 75b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 - 2*m + 2. Let t be o(-2). Let l be (t\/(-6))\/((-2)\/24). What is the second smallest value in 0.5, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164115 rounded to 6 dps?\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-27)*(n*n**3*n)\/n assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5277665, -10555323, -15832981?\n\"Answer: -5277658*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 31*k**2 + k + 1 + 4*k - 3*k. Let u be b(-1). Suppose 2*g = -4*o + u, -3*g - 3 = 2*o - 28. Solve 2*m + 3 = -h - 3, -2*h = -o*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48926 and 0.11.\nAnswer: 5381.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40331 (base 6) in base 11?\nAnswer: -3a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**3 + 4*r**2 - 5*r**2 + 0*r**3 + 0*r**2 to d*r**3 + b*r + s*r**2 + k and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71462148418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.8 - 40. Let f = c - -6. Let h = f - 1.3. What is the second biggest value in 5, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (((sqrt(99) - (sqrt(99) + (sqrt(99) - (4 + sqrt(99)*-1 + sqrt(99))))) + (sqrt(99) + 2 + sqrt(99) + -5 - sqrt(99)))*4)**2).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 56. Give o(4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 104, 0.015, 3?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.05 - -0.05. Let x = j + 8.8. Which is the smallest value? (a) x (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111272 and 6432.\nAnswer: -104840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from hhhahaaaah.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -43, -74, -103, -130?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*b**3\/5 - 1193422*b**2\/15 - 202528*b\/3 - 144664\/15 = 0. Calculate b.\nAnswer: -2\/3, -2\/11, 18083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 55 + 6858*h - 6852*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1015279*h**2 + 1015268*h**2 - 20*h - 13*h + 33*h.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**2 + 3*n + 3. Suppose -6*w + 10 = 4. Let a(k) = k**2 + k + 1. Let l be 6\/(1 + 0 + 1). Suppose -l*m = -7*m - 20. Give m*a(h) + w*c(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 222239, 444479, 666719, 888959, 1111199, 1333439?\n\"Answer: 222240*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -23. Solve z = 4*d + k, -6 = 2*d - 0*d + 2*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636145 (base 8) to base 7.\nAnswer: 6154546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 5. Let q be z(-3). Suppose -q*d + 20 + 18 = 0. Suppose 10 = -5*w, 5*l + w - d = 3*w. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + b + 40 = 0, 3694*r - 5*b + 4 + 6 = 3689*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -15*m**2\/2 - 5*m + 3. Let w be d(-2). What is the highest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-36)\/15)\/(-3). Let x be 22\/j + (-3)\/2. Suppose 2*z - 3*h - 28991 = 0, 0 = -x*z + 4*h + 1485 + 56503. Round z to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.5364957025 - 1.5?\nAnswer: 511.0364957025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*(5 + 85\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 6*f**2 + f. Let j be o(4). Let d = 38 - j. Let t be 25 + 0 - (-2 + d). Calculate the highest common factor of t and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7165, -28741, -64713, -115087, -179869, -259065?\n\"Answer: -u**3 - 7192*u**2 + 7*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 43 - 22*a)*(1 + a - 1) - 122*a**2 + 2*a - 104*a**2 - 178*a**2 in the form s + n*a**2 + i*a and give n.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2464 and 15232.\nAnswer: 167552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 910\/(-39) + 24 - 174\/(-9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 - 460*k + 112. Let a be f(-66). Which is greater: a or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 4*n**2 + 0*n)*(-n**2 + n**2 + 2*n**2).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2465 by 12774.\nAnswer: -2465\/12774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/72*(-2)\/(-12). Suppose 0 = -3*h + 18 - 75. What is the biggest value in h, -3, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/11 + 5100*f**2\/11 - 30455784*f\/11 + 27506888848\/11 = 0 for f.\nAnswer: -5666, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**5\/5 - 10*c**3 + 220*c + 53. What is the first derivative of m(t) wrt t?\nAnswer: 4*t**3 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 139166*l + 4841793889.\nAnswer: (l + 69583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 18*b**3 - b**2 + 9*b - 10. What are the prime factors of i(3)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2. Let j(b) = -b**2 + 11*b - 2. Let g be j(10). Suppose -u - g = -5*u. Let t(i) = -15 + 15 + u*i. Give t(a(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109210 = 3366*g - 89014 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41951481 less than 41951479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/20 - 3*w**4\/4 + 4*w**3\/3 + 5*w**2\/2 - 4*w. Let q be p(8). Solve -5*u + 25 = q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*u = -2530, -5*w - 5*u - 621 = -6*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + 1 + 11*x - 23*x)*(3*x**3 + 3*x**3 - 4*x**3 + (0 + 3 - 1)*(0*x**3 + 4*x**3 - 2*x**3) + 7*x**3 - 3*x**3 - 2*x**3 - 66*x**3 + 297*x**2 - 297*x**2).\nAnswer: 348*x**4 - 58*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*n + 2*b - 8, 0 = -4*b. Suppose n*c - 127 - 69 = 0. Let q = c + -109. Is -32\/3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + z. Let w be a(-1). Suppose 1 = w*i - 11. Let q(m) = -m**i + m**2 - 3*m**3 - m**2 + m. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 51*n + 50. Let m be s(-1). Determine c, given that -1\/4*c**2 + 0*c**3 + 1\/4*c**4 + m + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*m. Suppose -3*d - 17 + 8 = m. Let v be -4*(2 + d) + -1. Solve t = v*p - 9, p - 3 = -t - 2*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126494163 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 - 2. Suppose -6 = -x + i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c4d - -6?\nAnswer: 14c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 12) to base 10.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - q**3)*(23424 + 8119 - 1256 + 9521 + 921).\nAnswer: -40729*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 5*x**2 - x**2 - 1 in the form r*x + k + i*x**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 - 17*o - 7. Let w(r) = -7*r**2 + 15*r + 5. Determine -3*w(a) - 2*x(a).\nAnswer: 5*a**2 - 11*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - -5) + -2 - (-2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 55. Suppose -30 = -2*z - 2. What is the remainder when d(z) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -204, 0.5, -0.2, -2022, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6665 + -66593\/10. Calculate the common denominator of 7\/400 and r.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6119.02 - 6119. What is the closest to 0.2 in 4\/3, f, 0.4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3334*-2400\nAnswer: 8001600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 426.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f - 2. Let t(c) = -3*c**2 - 297*c - 8. What is -4*s(u) + t(u)?\nAnswer: -3*u**2 - 337*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 12*y**2 + 7*y**2 - 43 + (0*y + 3*y + 0*y)*(-y + 3*y - 3*y).\nAnswer: -4*y**2 - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034188 rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.297 and 829.\nAnswer: 246.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by 2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 1, l: 4, z: 2, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -10. Calculate the least common multiple of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4933, 0.1, 22 in decreasing order.\nAnswer: 4933, 22, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 1293, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558963 is divided by 25407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 - 3595*h**4 - 62095*h**3 - 341365*h**2 - 643510*h - 360640 = 0. Calculate h.\nAnswer: -7, -2, -1, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12961 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 w = -1901.0159994 - -1900.826. Let c = 1.3 + -1.49. Let b = w - c. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (95\/10)\/(-19)*346*-3. Solve 10*q - n = -549 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2 + 3*y. Let a be r(-3). Let d = 143 - a. Let q = -31 + d. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28036.\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o + 10*o**2 + 1\/3*o**3 + 39. Let c(i) = i. Determine v(c(z)).\nAnswer: z**2 + 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**2 + 7*l. Calculate u(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 + 45*y + 6. Let h(a) = -6*a**2 + 44*a + 7. Let j(n) = 3*h(n) - 2*w(n). Let b be j(21). Solve 3*x + b = -4*k, 3 = -k - 4*x + 3*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2077 by 36038.\nAnswer: -2077\/36038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*w**3 + 1\/4*w**2 + 2*w - 1 = 0 for w.\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -23 + (24 - 52 - -13 - (-9 - -1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 56 = -2*w, 2*w - 4 + 0 = -g. Suppose 0 = -l + a + 4, 0*l = 3*l + a - g. What is the lowest common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 5*a + 5*q - 176, -5*a - q + 122 = 0. Suppose 960 = 39*x - 3*x - 12*x. Calculate the least common multiple of x and a.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l + 3*l**2 - 1\/4*l**4 + 0 - 25\/6*l**3. Let q be o(-5). Solve -4*x = -0*y - y - q, 5*y + 25 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + -a3477?\nAnswer: -a3497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and -0.14987036?\nAnswer: 0.0509559224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/23 (c) 0.2 (d) -2\/3 (e) -2\/23 (f) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 16*t - 28. What is j(13)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -78*p**2 - 4*p + 103*p**2 + 17 - 14*p + 9*p. What is the tens digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -5. Let p = g + 8. Let w = p - -8. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivi. Give prob of picking 1 i and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 6*n. Is t(10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/18*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 4 (c) -1\/5 (d) 0.1 (e) -118\/3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -404972?\nAnswer: -404972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 7 = -2*c. Suppose -2*b - c*w - 67 = -3*b, -12 = 4*w. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2703 and -6119.7?\nAnswer: -16541549.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 4568, -1\/11, -2, 2, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/7 - 2384*t**4\/7 + 188140*t**3\/7 + 1059582*t**2\/7 + 145575*t - 1205550\/7 = 0.\nAnswer: -3, 2\/3, 95, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18108783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtyumhymyffmhymmm. Give prob of sequence fyf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198 - -201. Let o(n) = -26*n + 90. Let b be o(h). Suppose -40 = -3*c - 1. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let t(v) be the second derivative of 49*v**4\/3 + v**2\/2 + 27*v. Calculate t(g(z)).\nAnswer: 196*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(34)\/sqrt(2) + 1 + -4)**2.\nAnswer: -6*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12096 divided by 21\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2808*v - 2807*v - 6 = 0, -3*r + 7*v = 5*r + 48 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, y: 1, j: 4}. What is prob of picking 1 z and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.442 - -0.042. What is the second biggest value in k, 1, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4 - 5402*i**3 + i**2 - 41191.\nAnswer: -8*i**3 - 16206*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j - 1, -j = -4*z + 13. Solve -n + 15 - 1 = z*p, -5*n + 5 = -3*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 greater than -0.124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 222, 226, 232, 240, 250, 262?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19859 (b) -0.5 (c) 3434\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 734*o + o**3 - 3*o**4 + 0*o**3 - 3 - 731*o + o**2 - 2*o**2 as s*o**3 + i*o**2 + y*o + b + d*o**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86351849, 345407386, 777166615, 1381629536, 2158796149, 3108666454, 4231240451?\nAnswer: 5526518140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 41, 5, -5.\nAnswer: -5, 5, 15, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q - 85. Let l = -652 + 649. Let p be d(l). What is r in 4\/13*r**3 - 2\/13*r**p - 4\/13 + 14\/13*r - 16\/13*r**2 + 4\/13*r**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 16*r**2 + 2. Let s be b(-16). Let l be (2 + 0)*(-9)\/(-6). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-53)\/689 - (-76)\/(-26). Let k(w) = -16*w + 2. Determine k(m).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 980? (a) 0.03 (b) 1 (c) 0.032 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:27 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 40\/12. Let f = 54 - 48. Suppose -2 = g + f. Put g, -5, u in descending order.\nAnswer: u, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7574 and 4942?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**38 assuming x is positive.\nAnswer: x**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*g**2 - 202*g**2 - 200*g**2 + 793*g**2 - 202*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 13*h + 60. Let k = h + -51. Let t be k\/(-6) - (-9)\/(-18). Solve -t*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**2 + 2093*u - 9343. Let g be (-2)\/(1 - (-2)\/(-6)). Calculate the remainder when (-141 - 0)*g\/9 is divided by v(228).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5\/6*z**6 - z**3 + 0*z**4 + 0*z + 0*z**2 - 4 + 0*z**5. Find the third derivative of o(x) wrt x.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w*w\/w**(-2\/9))**(-1\/6) assuming w is positive.\nAnswer: w**(-37\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 16.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 1. Let h(u) be the first derivative of 3*u**2\/2 + 3*u + 1. Calculate -h(d) + n(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(36\/(-8)))\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3363, 4724, 6085, 7446, 8807?\nAnswer: 10168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731524332.\nAnswer: 2, 317, 661, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*k - 271 + 33*k + 18*k as h*k + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570269728.\nAnswer: 2, 7, 23, 71, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5773730816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3)\/((-34)\/(-85)). Suppose 0 = 2*d + t*p - 21, 4*d = -2*p + 23 - 5. Find the second derivative of g - 11*g + d*g**3 + g wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 299529.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 + 47*k + 49*k - 99*k)*(1 + 0 + 4)*(k + 3 - 3) + 8*k**2 - 5*k**2 + 6*k**2.\nAnswer: -6*k**2 + 865*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 9 = -0*h + 5*h, -4*h = 3*t + 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/2 + 8. Let v = 109.08 + -109.25. What is the closest to 2\/7 in h, v, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 357 and -2800.27673.\nAnswer: -2443.27673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1400) + sqrt(56))\/sqrt(8) + sqrt(63)\/sqrt(9) + -2 + 0.\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7533109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337209 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*u + 108, -3*u - 2*u = 10. Calculate the remainder when 68 is divided by (-1)\/1 + h\/(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1132142422?\nAnswer: -1132142424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 20)*((-156)\/180 + (-1)\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 10)\/((-24)\/(20\/5)). Let r = 0 + 0. Let i = -8 - -7.8. Which is the nearest to i? (a) g (b) r (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*c + 11 + 0 = 0, -2*c = -2. Solve 0 = 8*p - z*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*t + 8684, -5709 = -4*s + t + 11615. Is s a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6142.\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**2 + 14*t - 14*t)*(-3*t + 2*t**2 + 3*t + (61 - 61 - 12*t)*(-2 + 2 + 6*t)).\nAnswer: -980*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421360582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -3.7 (c) -1\/5 (d) -0.121 (e) -2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -77. Suppose -62 = -5*f - v, -77 = -5*f - 5*v + 9*v. Suppose -4*y = -c + 17, 5 = c - 3*y - f. Calculate the remainder when h is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7834523625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/10*8\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 14958002*i\/3 - 4986001.\nAnswer: (i - 1)*(i + 14958003)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20522 (base 8) to base 2.\nAnswer: 10000101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4135500 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 0*a + 0*a + (6 - 3 - 4)*(-4*a + 5*a + a) + 5 + 2*a - 3*a + 2*a.\nAnswer: -3*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -13120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/6 - a**2\/2 - 4*a. Let l be t(6). Solve -12 = f - 3*g - 0, f + 22 = l*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 7815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474 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: In base 2, what is -101101011001001000 + -100001011?\nAnswer: -101101011101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 10023?\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22779.\nAnswer: 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1238 + 2.1238. Which is the closest to -0.1? (a) -21 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 50. What is the remainder when 22 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/((-2)\/9*393\/(-1310))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 4, y: 3, k: 1, x: 4, l: 1}. What is prob of picking 1 f, 1 l, and 1 k?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1 - 536*c**3 + 0*c + 535*c**3. What is h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrlla. Give prob of sequence hl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -1\/20*p**5 - 16*p + 1\/6*p**3 - 7\/12*p**4 + 0 + 5*p**2. Let a be g(-7). Sort 0, a, 1 in descending order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 - q - 12. Let n be a(-2). What is the highest common divisor of n and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3)*9\/(-4). Let z be (1 + 0 - -1) + -3. Which is the closest to 4? (a) -2\/3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r - 9. Give w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -61. Suppose -81 + p = -4*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 - -3022221?\nAnswer: 3021431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/2 - 5\/(-10). Let n = -4 + x. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.9, 2\/95, -57.8, -63 in decreasing order.\nAnswer: 2\/3, 2\/95, -0.9, -57.8, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8 + 8. Suppose y*a - 41 = 87. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 192a116 + -2?\nAnswer: 192a114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.151, -5, 0.3, -4.\nAnswer: -5, -4, 0.151, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:13 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 602933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -3*m**2\/2 - 478. Let f(b) = 2*b. Let t be (16\/12)\/(2\/(-6)). Determine t*w(l) - 3*f(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2855 = 14*p - 35517. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 279 - 137 - 148 - g**3 + 2*g - 16*g + 15*g**2. Give n(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k**2 - 75*k - 909. Suppose 6*f = 3*f + 243. What is the smallest common multiple of d(-6) and f?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161.89 * 42.32.\nAnswer: 6851.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((((-35)\/(-10))\/7)\/((-3)\/(-2))). Let u = 0.03 - -1.17. Let r = u + -0.2. What is the nearest to -2 in -0.1, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -18, -16, -12, -1 in increasing order.\nAnswer: -18, -16, -12, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82 + 3*a - 2*a**5 - 95 + 0*a**5 + (-3*a**4 + 5*a**4 - a**4)*(0 - a + 0).\nAnswer: -3*a**5 + 3*a - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14823 and 6319539.\nAnswer: 18958617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 538*u. Let q(t) = -37*t + t + 10*t + 27*t. What is q(o(x))?\nAnswer: 538*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224466 by 24.\nAnswer: -37411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 - 3*n**2 + n + 3. Let c(s) = -11*s**3 + 2*s**2 - s - 2. What is 3*c(d) + 2*u(d)?\nAnswer: -11*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5084895 by 1694965.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -28\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4136690927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030403847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)*1 - -2. Suppose -k + 4*w + 34 = 0, 3*k - 5*w + 43 - 117 = y. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153238744?\nAnswer: 2, 19154843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 - -181. Let s = i - 52. What is the remainder when 42 is divided by (s - (-46)\/(-6))\/((-3)\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(51)*-1)\/(sqrt(48)*-5).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -92. Let o = n - -24. Let d(h) = -h**3 + 2*h**2 - 2*h + 2. Let p be d(2). What is the third smallest value in -2\/11, o, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/((((m\/(m*m**(-3\/7)))\/m*m*m)\/m)\/m))*m**(-4\/7))**(1\/35) assuming m is positive.\nAnswer: m**(-3\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let a(w) be the second derivative of 3*w + 0*w**2 + 13\/6*w**4 + 9 + 0*w**3. What is l(a(x))?\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/7 - 12*a**2\/7 + 64\/7 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/9, 8, 6\/11, -6 in decreasing order.\nAnswer: 8, 6\/11, 1\/2, 2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (116 - 51 - 97) + -2 + 133\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 3*v**3 + 0*v - v + v**2 + 1. Let c(d) = -2*d**3 + 4*d**2 - d + 1. Let l(g) = 2*c(g) - 2*f(g). Find the third derivative of l(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 8*b**3 - 3*b**2 - b - b**2 - 5*b**3 in the form t*b**3 + m + o*b + x*b**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 + 16*k - 54. Let x be t(3). Suppose 2*u - p = 1792, 47*u - 2*p = x*u - 906. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 30 + 3*t + 3 - 20.\nAnswer: 3*t - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 - 3. Let s = -29 + 29. Let i be ((-4)\/14)\/(s - -2). Which is the third smallest value? (a) 3 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1612 + 1750. What is the greatest common divisor of m and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-80)*9)\/(99\/132)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 1:55 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 - (-122)\/8. Suppose x = 6*q - q. Let j = 3 + -8. Put j, q, 4 in increasing order.\nAnswer: j, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/5 + 22*h**4\/3 + 262*h**3\/3 + 220*h**2 - 3*h - 1821. Factor n(p).\nAnswer: 4*(p + 1)*(p + 10)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrddddrdu. What is prob of picking 2 d and 1 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*3*16\/(-24).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 14 = 115. Suppose 0 = -10*r + 5*r + 10, -4*a = -u*r - 122. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/16 and 53\/88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-287)\/(-1558)*(-60)\/(-42))\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i + 7. Give s(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 133\/5 (b) 2\/19 (c) 1\/14 (d) -24.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39780 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111111010 (base 2) in base 4?\nAnswer: 12133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 7*j + 9. Let c be t(7). Let x(a) = 6*a - 20. Let s(r) = 4*r - 19. Let l(z) = -6*s(z) + 5*x(z). Let p be l(-2). Solve -p*d + 5*d = -c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13, -8, -1, -2, 4, 1 in descending order.\nAnswer: 13, 6, 4, 1, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345008879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8 and (0 - 1)*(-355)\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c1 (base 14) to base 9.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*l + 10, -6 = -7*l + 4*l - p. Suppose -12*x = -17*x - 15. Let s = 8 + x. Solve 3*o = s*i - 31, 5*i - 17 = -l*o - 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 - 13*o**2 + 21*o - 20. Does 22 divide i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 379 and 406 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + 4*b)*(-2 - 2 + 5) + (-204 + 69 - 213)*(b - 3*b + b).\nAnswer: 349*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:18 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/205 in -3, 0.024, 0.4?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 + 9775361*r**2*s + 8*r*s - r - 116288*s - 6 wrt r?\nAnswer: 6*r + 19550722*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 855401420 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 958.7559 litres?\nAnswer: 958755.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 2 - -2 - 0. Let a = 8787 - 8782. Suppose 646 = a*l - c*n, -4*l + 438 = 5*n - 101. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 30*j + 27. Let n be m(29). Put 1, 3, n in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/143 + (-943)\/(-451)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = -4*b, -9*f + b = -8*f + 3. Let d = -615\/7 + 88. What is the nearest to -1 in f, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a day in seconds?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 + 33014111?\nAnswer: 33014442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2676073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 8. What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32929 and 10132.\nAnswer: 131716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 47*s + 72. Give b(45).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 16, 85 in decreasing order.\nAnswer: 85, 16, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37758)\/(-8091)*(1 + (-52)\/(-14)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/10 + d**3\/3 - d**2\/2 + 2*d. Let s(i) = -21*i**2 - 2. Let z be s(0). Determine n(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 - 8*a - 12. What is l(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 2. Let d(x) = -x**3 + 21*x**2 - 66*x - 29. Let j be d(17). Let a(t) = -1. Calculate j*a(y) + b(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-55))\/(2\/15*-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 396467\/52360 + (-20)\/(-25). Let f = m + 4\/1309. What is the common denominator of f and -5\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and 67\/598?\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 93602\nAnswer: -9360.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/7, -3\/5, 81, 0, -9\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 5, s: 3}. Give prob of sequence msmi.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrfzzgrfrzfrrff. Give prob of sequence rfz.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 313749\/7365 + 162\/(-45)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 11*i - 35 = k - 15, k + 80 = -22*i for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -533 - -532. Let x = -62 + 57. Which is the nearest to 2? (a) x (b) -0.07 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23100071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9) + 278985\/(-2080431)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q - 4. Let y be s(5). Let h(x) = 3*x - 1. Let w be h(y). Factor -2*c**2 + 2*c**2 + 2*c**w.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*5*(sqrt(245)*1)**2.\nAnswer: -30625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 2278\/(-18) + 1. Let f = -124 - x. Suppose -3*m - 4*k + 15 = -0*k, 0 = -5*m + 2*k - 1. Is m less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 720790.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3 - 13. Let p be (-1)\/(-4) - (-92)\/n. Let r(y) = -y + 10. Let v be r(p). Solve -4*s - v = 3*b, -2*s - 4 = b + 2*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 184129570000\nAnswer: -184129570001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-8)\/(-24)*-20 + 2. What is the third smallest value in -196, x, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 7*q + 7*q - q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -864 and 6.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.14 + 8.14. Let x = -6.8 + q. Which is the nearest to 0? (a) 3\/4 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z + 1. Let w(q) = 3*q**3 + 6*q**2 - 6*q + 18. Let p(t) = -4*v(t) + w(t). Let m be p(6). Solve 22 = 4*i + m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*c**2*y*z**2 + 718*c**2*z**2 - 394*c*y + 23*c*z**2 wrt y?\nAnswer: -9*c**2*z**2 - 394*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 9. Let s(t) = t - 9. Give -5*c(x) - 15*s(x).\nAnswer: -5*x + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/14 - -6) + (-68508)\/616.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10190852 divided by 5095426\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14987, -20565, -26145, -31727, -37311?\n\"Answer: -b**2 - 5575*b - 9411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 1, m: 3, o: 1, l: 3}. Give prob of picking 1 l and 1 m.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n)**(3\/10)*(n*n**(-12\/7)*n*n*n)\/(n*n**22) assuming n is positive.\nAnswer: n**(-1681\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81855217 to the nearest integer?\nAnswer: 9047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a - 3*a - 11*a. Let u(t) = t**2 + 3*t + 3. Let m be u(-2). Let p be j(m). Solve -p*b = -3*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -15*h, -2*w + 190*h - 194*h = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 14. Let i = -2 + d. Suppose 3*k + k - 16 = i. Solve k = -2*w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28468*o - 147 = -28475*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178310*i*m**3 - 2*i*m**2*q - 35*i*m**2 - 2*i*m*q + 4*i*m + 153*m**3*q + 53*m*q - 2*m wrt m?\nAnswer: 1069860*i + 918*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7359580, -4, 2 in ascending order.\nAnswer: -4, 2, 7359580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*m = 163, -5*m + 25 = -10*m. Let t = w - -53. What is the second derivative of -2*b - 11*b**2 + b + 3*b**t wrt b?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97443 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(10\/(-4) + 2). Calculate the remainder when 17 is divided by 0 + 8 - (n - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515 or 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 3*k**2 + 2*k**2)*(-k**2 + k - k) + (-7*k**2 - 3*k**2 + 3*k**2)*(-k**2 + k - k).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let w = 19 + -15. Let o = -7 + w. Which is the nearest to 0? (a) o (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1225 - 1) + (4 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101001101111010 (base 2) in base 6?\nAnswer: 2322014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*470 - 65\/(-13). Suppose -8*w = -3*w - y. Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-216)\/(-16)*4\/6. Is 8 a factor of 5\/(60\/q)*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.43124 and 0.07.\nAnswer: -0.5201868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3 = 48. What is the greatest common factor of p and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/5 - 12888*r\/5 = 0. Calculate r.\nAnswer: 0, 12888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3528 - -3528.7. Sort -0.1, -7, -2, -4, h in descending order.\nAnswer: h, -0.1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 139, 2, -2, 12, -31, -5 in ascending order.\nAnswer: -31, -5, -4, -2, 2, 12, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108769*j**2*y**3 + j**2*y - 23*j**2 - 376*j*y wrt y?\nAnswer: -652614*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 w when four letters picked without replacement from wwwwweeweweewwww.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123 + 472618\/(-3819))*57?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -17*r**3\/3 - 5*r + 1042. Let s(l) = 9*l**2 + 2. What is 4*j(o) + 10*s(o)?\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/2 - 903*q**2 - 237809*q\/2 = 0. Calculate q.\nAnswer: -1663, -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2 + 8*p - 24. Let z be x(-11). Suppose -2*u - 3*a = -z, 7*u - 12*u - 2*a = -3361. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 11*s - 10. Let n = 14 + -29. Is s\/(n\/(-4))*(-42)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 761780 minus -1.3?\nAnswer: 761781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 58. Let g = 43 - 59. Let k(z) = 19 + 8 + 7 - 2*z - 15. Let s(v) = g*k(v) + 5*i(v). What is the derivative of s(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -104730.\nAnswer: -20946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from tmmtmt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296.59 - 291.59. Which is the nearest to 1? (a) 29 (b) r (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/k**(-5)))*k*k)\/(k\/(k\/k**(3\/8)))*k*k**(6\/7)*k*k*k\/(k*k**9\/k) assuming k is positive.\nAnswer: k**(139\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 8:20 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -514.\nAnswer: -7\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2305*u**3 - 7152*u**3 + 2*u**2 + 300*u**3)*(3 - 3 + 3*u) to the form c*u + d*u**4 + v*u**2 + j*u**3 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -39. Suppose 0 = 5*x - 3*j - 246, -g*x - 5*j + 119 = -111. What is the least common multiple of x and 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -569 or 2\/7597?\nAnswer: 2\/7597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18749, 2, -2, -1, 28 in increasing order.\nAnswer: -18749, -2, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8766*m - 186. Let o(c) = 1461*c - 29. Determine 13*o(k) - 2*z(k).\nAnswer: 1461*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and 18\/(-12)*51\/63?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -505, -1719, -4085, -7987?\nAnswer: -13809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0944 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 29*g - 27*g. Calculate the remainder when 155 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5709 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-29)\/s)\/s)\/s**(-3\/11) assuming s is positive.\nAnswer: s**(-338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 9)*(4106*b - 1755*b - 1806*b) + 5*b - 3*b - 3*b.\nAnswer: 4359*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3787, 7372, 10957, 14542?\n\"Answer: 3585*j + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -6, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 61 = 4*y + 48, -74*y - 3*b + 133 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5610 = -16373*a + 8249*a + 8209*a for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.02194 - 0.02194. Let v be (0 + (-2 - 0))*-2. What is the nearest to -1\/3 in v, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 + 50312*d**2 - 50084*d - 2817248 = 0. What is d?\nAnswer: -7, 8, 12577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - -2) + -18 - (30 - (-15 + 40))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2006 + 3796 - n**2 - 1767.\nAnswer: -n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.002073774494 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 393664 and 58131702?\nAnswer: 57738038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrlhumhu. What is prob of sequence lg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooodooo. What is prob of sequence oo?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18640224 divided by 2?\nAnswer: -9320112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 15*r + 216 + 59 - 25*r - 20 + 1.\nAnswer: 6*r + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -47*c + 80. Let q = -303 + 284. List the prime factors of p(q).\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 4. Let d be (2\/(-4))\/(4\/8). Calculate the remainder when -14*(0 + 2\/d) is divided by h(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*d - 0 - 2, d = 2*y - 13. Suppose 2*u + u = y. Solve -q - u = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(104) - (-5*(sqrt(104) - -1*sqrt(104)) - sqrt(104))) + sqrt(104) - sqrt(104))\/sqrt(8) + 3)**2.\nAnswer: 216*sqrt(13) + 5643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 - 28176*r**4 + 66213579*r**3 - 264544458*r**2 + 330560868*r - 132201816 = 0. What is r?\nAnswer: 1, 2, 4694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 291936*h + 1167718. Calculate g(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/9065 and -36\/30325.\nAnswer: 54979225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/357 and 46.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -81, -5 in descending order.\nAnswer: 5, 4, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554826 divided by -59801.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237577 is divided by 16819.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 3. Let i(f) = -1. Let q(j) = 6*i(j) - m(j). Let t(k) = -2*k**2 - 2*k - 1. Let h be t(-2). Calculate q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 516\/(-864) - 1*2\/(-9). What is the closest to 0.15 in x, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152))**2 + 2 + 1 - ((sqrt(96) - sqrt(96)*2)*-1)\/(sqrt(72)\/(sqrt(18)\/sqrt(3))).\nAnswer: -2*sqrt(2) + 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 41. Give l(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-10) + 12\/(-8))\/(-3). Let i(t) = t - 11. Determine i(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4544 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 1. Let h be (-22 - 0)*d\/(-16). Suppose -3*r - 5*y + 3 = -17, -2*r = y - h. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i, 6*i - 2*i - 14 = -5*j. Let z be (1 + (-8)\/j)*(0 + -3). Solve -2*u = 4, -3*u = 4*p + z + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16662, 16664, 16668, 16674?\n\"Answer: y**2 - y + 16662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + (6 + -2 - -12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -6?\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657984 divided by -12.\nAnswer: 54832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054011.\nAnswer: 3, 13, 19, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104\/6*72\/32 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5828082703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1, -2\/1651, -3\/5?\nAnswer: -2\/1651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 1, 1407 in descending order.\nAnswer: 1407, 33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/846 and -7\/8319.\nAnswer: 49914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 712 + 4*d**3 + 701 + 9*d**3 - 3*d**2 + 0*d**2 + 4*d - 1410 to t*d + z*d**2 + s + g*d**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + 13 + -8 + 1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4445\/288252 - 1081372542505\/13547844. Let w = 79818 + h. Find the common denominator of 91\/4 and w.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {s: 1, c: 1, b: 3, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 - 240. Let k be (6\/9)\/p + (-124)\/(-30). Factor 12\/5*c**4 + 2\/5*c**5 + 8\/5*c + 26\/5*c**3 + 0 + k*c**2.\nAnswer: 2*c*(c + 1)**2*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-21 + 6)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/15*(-4620)\/14476.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211847 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -216, -508, -896, -1368, -1912, -2516?\n\"Answer: 2*u**3 - 66*u**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -9*u**2 + 0*u**4 + 1\/20*u**5 - 78*u + 0 + 0*u**3 + 1\/10*u**6. Find the first derivative of c(l) wrt l.\nAnswer: 12*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 < -45868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1453801, 5815229, 13084281, 23260957?\n\"Answer: 1453812*u**2 - 8*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -750*y**5 + 7*y**4 - 3*y**2 + 122345*y + 2 wrt y?\nAnswer: -15000*y**3 + 84*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36500 - -36484. Suppose 3*u - 16 = 2*g, -u = -2*u + 4*g + 12. Sort -17, u, q in descending order.\nAnswer: u, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4 = 4*i, -223*i + 220*i = v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 161?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3762*o + 979*o = 475*o + 312269 + 26563 for o.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -3*s - 8*r, -28 = -2*s + 4*r. Calculate the least common multiple of s and 3*-2*(-1)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 + 2*i**2 + 2*i - 4. Let z be n(3). Let h be 1\/(-3) - z\/12. Is 1\/(3\/(-3)) - h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 45 = 29*w. Solve -3*k - 5 = -5*u, -15 = w*u - 2*k + 3*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -211, -719, -1713, -3355?\nAnswer: -5807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 338*l**2 - 1 + 2*l**4 + 341*l**2 - 678*l**2 - 39*l**3 - 9*l**3 as j*l**3 + c*l**2 + k + a*l + m*l**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, -247 in descending order.\nAnswer: 4, 3, -4, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212313 + 1230?\nAnswer: 220203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/79 + 152\/237. Let i = -252.86305 - 0.03695. Let q = i + 253. Which is the smallest value? (a) -2 (b) q (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8 = 35*u - 31*u, 3*y - 5*u - 27 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and -0.4.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1083827 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 21*m**2 + 3*m + 8. Let s(a) = 22*a**2 + 2*a + 7. Let c(h) = 2*k(h) - 3*s(h). Differentiate c(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-604)\/(-20))*-20*-2500. What is w rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 6*u**2 - 6*u + 11. Let z(p) = -14*p**3 + 17*p**2 + 17*p - 33. Let w(k) = 17*q(k) + 6*z(k). What is the derivative of w(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 + 17 = 0. Let s = -3 - x. What is the third derivative of -4*k**s + 2*k**4 - 2*k**2 - k + k wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -4*s. Let o(l) = 10*l**2 + l - 1. What is the lowest common multiple of o(s) and 3*4*(-8)\/(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -186*f**3 + 17*f + 16. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*q - 469*q + 484 = 0. Let x = q + -445. Are x and 40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from skssvmsoovmmoo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -263, 2 in ascending order.\nAnswer: -263, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 184*t**3 + 42 + 209*t**3 - 391*t**3.\nAnswer: 2*t**3 - 2*t + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -28*n**3 - n**2 - n + 1. Calculate the remainder when 56 is divided by y(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 322, 1269, 2848, 5059?\n\"Answer: 316*x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + -8 + (-25 + 21 + 1 - (-12 - 0))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 2 l when four letters picked without replacement from vvvlujssvvvfvvvvlv?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 13635.20121 to the nearest one hundred.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2193183 and 3574076?\nAnswer: 96500052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 + 3*q**2 + 2*q. Let z(m) = -14*m**3 + 7*m**2 + 5*m. Let w(l) = 5*x(l) - 2*z(l). What is the smallest common multiple of 9 and w(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -69.017. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Let z(t) = -10*t**3 - 3*t + 11. Let l(n) = 7*n**3 + 2*n - 7. Let f(j) = a*z(j) + 7*l(j). Determine f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2121 and 2877.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 245*j + 9. Let c(t) = t**3 - 7*t**2 + 2*t - 7. Let q be c(7). Let h(n) = 368*n + 13. Let a(y) = q*s(y) - 5*h(y). What is the hundreds digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 + o**2 - 9*o + 13. Let g be z(3). Suppose -25*p + 118 + g = 0. Solve -6*c - 5*c = p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 16 (c) 0 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + -15?\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.45001 nanograms to tonnes.\nAnswer: 0.00000000000002045001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*h**3 - 383*h**3 + 765*h**3.\nAnswer: 1179*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 6320564 a multiple of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42090 + 41776. Let u = -1066 + 751. Is u at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0.11, 2\/3 in descending order.\nAnswer: 2\/3, 0.11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 22*w = b - 2, 5*b + 22 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 2*r + 6*r + (1 + r - 1)*(1 + 2 - 5) - 2*r + 4*r - 3*r + 1461*r - 485*r + 534*r to the form y + k*r and give k.\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465 (base 8) to base 11.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i + 3. Let s(u) = -3*u - 2. Calculate 2*m(c) + 3*s(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43609 - 43575. Calculate the highest common divisor of 3876 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 748.65 * 8.\nAnswer: 5989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 0.1. Let s = w + -7.4. Let k = s - -7. Which is the second smallest value? (a) -2 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 14. Suppose -14 = t + 2*v, -4*v + 10 = -5*t - 32. Let p be m(t). Suppose g = p*o - 1 + 3, 0 = o - 3*g + 6. Solve 0*k - 3*k + 15 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(36)\/sqrt(6))*-4 + (0 + sqrt(44)\/sqrt(4) + 2)**2)*-5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 + 0.1. Let r be ((-24)\/160)\/((-6)\/(-85)). Let d = -11\/8 - r. What is the second biggest value in h, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 312173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -0.2, -118 in descending order.\nAnswer: 4, -0.2, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 and 89\/812.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 644683146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o - 2*o)*(-2*o - o + o)*(-1 + 37 - 9 + 0 + 0 + 2 + (-1 - 1 + 3)*(1 + 2 - 1) + 29 + 3 - 3).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5254349*j**2*m**2*q + 2*j**2*m*q - 95*j**2*m + 5*j*q + 23*m**2*q - m*q + 7*m + 5*q + 4 wrt m.\nAnswer: 10508698*j**2*q + 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-70))\/(12\/5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 942 (d) -4 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -37*w**4 + 6*w**3 + 12*w**2 - 39*w. Let o(a) = a**4 + a**3 + 2*a**2. Let v(m) = -g(m) + 6*o(m). Find the second derivative of v(x) wrt x.\nAnswer: 516*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1460.3 + 1460. What is the nearest to -2\/9 in 2\/5, 2\/35, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 - k. Let z(t) = 4*t**3 + 4*t**2 + 29*t. What is 6*b(i) + z(i)?\nAnswer: -2*i**3 - 2*i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 - 7*c. Let a(u) be the second derivative of -1\/3*u**3 - 1\/12*u**4 + 0 + 18*u - 7\/2*u**2. Let n be a(0). Give r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 565*l**2 + 281*l + 278. Calculate d(282).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/96*(-57)\/4. Let n(x) = -x**3 - 19*x**2 - 2*x + 4. Let c be n(m). Calculate the greatest common factor of c and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 913584327 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 176*h - 88. Let r(t) = 16*t - 8. Let a(n) = 32*r(n) - 3*w(n). Differentiate a(q) with respect to q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52147 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02923 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 671, 657, 637, 611, 579, 541?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let z be 1*x + (-15)\/(-12). Let m = -844 - -843.6. Sort z, -1.2, m in ascending order.\nAnswer: -1.2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w + 4*w. Let b(u) = u**3 + 2*u**2 - 3*u + 5. Let c(q) = q**2 + q + 1. Let j(n) = b(n) + 2*c(n). What is the tens digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2760613 = -4*g + 12*g + 9*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - t - 27 = -7*b, -4*b - 5*t - 51 = 0. Let p = 35 + b. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l - 9. Let d be x(-11). Let b = -22 + d. Let a = -73 - -138. Calculate the greatest common factor of a and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 126864708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3301, -7048, -11239, -15874?\nAnswer: -20953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/21 + -2137\/210. Suppose 2*j = -2*j - 43432. Let c = j - -152113\/14. Calculate the common denominator of g and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59951652 divided by 19983884.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 0*s**2 - 3*s**2. Let g(h) = 19*h + 10 - 6 - 4. Give x(g(q)).\nAnswer: 361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r - 1. Suppose 1080*l - 1065*l = 375. What is the smallest common multiple of z(-1) and l?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 63 = 0, -2*l + 6*l - 3*p + 67 = -6*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407 (base 10) to base 15.\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -244155*r - 976646. Determine n(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y - 25. Let t(c) = -2*c. Let p(s) = -j(s) - 6*t(s). What is p(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 82740*m - 82761*m + 0.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(76) - sqrt(76)*1 - sqrt(76)) + sqrt(76)))\/(sqrt(40)\/(sqrt(50)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.4 - 5.4. What is the smallest value in -5, p, -0.1, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 123?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 + 0.33000008. What is q rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 9*w**2 - 9*w + 12. Let m be x(-10). Let j be ((20\/m)\/(-2))\/(-1). Which is the biggest value? (a) -5\/4 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-175)\/10 + 17 + (-10)\/(-4). Let a(h) be the second derivative of 2*h + 2*h**3 + 7\/2*h**p + 0. Differentiate a(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 35. What is the derivative of 7*t**2 + 9*t**4 - q*t**2 - 1 wrt t?\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*t - 8, 17 = -4*c - 2*t + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248*s**4 - 2*s**3*y + 65*y wrt s.\nAnswer: 992*s**3 - 6*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 47. Let j be p(-8). Find the third derivative of 34*i**4 + 22*i**5 - 66*i**4 + 32*i**4 + j*i**2 wrt i.\nAnswer: 1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 4*i + 1. Let c be h(3). Suppose 0 = 2*f - c - 4. Suppose -m - 68 = -f*a + m, -a + 8 = -5*m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 1)\/(52 + (6 - 65))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*s + 7436415 = -504*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 472.11844 from 332.06.\nAnswer: -140.05844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -12*4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0) + 3\/(-3). Sort c, 1, -4 in descending order.\nAnswer: 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 64*l + 23. Let r(u) = 34*u. What is o(r(d))?\nAnswer: 2176*d + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, 39\/93848, 2\/3, 4, 1?\nAnswer: 39\/93848","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1458 - -a1a8?\nAnswer: 8b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4939*f + 4937*f + 6, -s - 1 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 410047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2070 and 31\/90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 271*q**2 - 398*q - 796. Is 41 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5518 - -0.551802353. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*v**3 + 2 - 3 + 958*v**4 + 2 - 956*v**4 to the form f*v + o + m*v**2 + d*v**3 + t*v**4 and give d.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(((-6)\/(-14))\/((-663)\/(-3094))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q**5 - 138*q**3 + 22*q + 36?\nAnswer: -240*q**3 - 828*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 9*q + 8. Calculate t(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1415 + 1504 - (12 - 0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwhj when four letters picked without replacement from whjwjjhhjjjhhjwhjhj.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15451355 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 25*d**2 - 82*d + 9. What is f(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6*-2*(-4)\/40)\/(1414\/(-35)). Are a and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263920380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 32. Let c be l(13). Suppose 4*f + 4*h = 52, -4*f + 3*h + 17 = -c. Suppose f*a - 2041 = -4*a. What are the prime factors of a?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020102002 + 2?\nAnswer: -1020102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - 12*c**2 + 5*c + 9. Calculate the remainder when 371 is divided by l(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*i*q + 32*c**2*i - 4*c**2*q - 16*c**2 + c*i + c - i*q - 151 wrt c.\nAnswer: 2*i*q + 64*i - 8*q - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 13*n - 131. Let j be w(-13). What is the thousands digit of (2646\/30)\/(-5 - 1518\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -20. Let y(f) = 0*f - f + f - k*f. Let u(c) = 3*c**2 - 3*c + 3*c. Give u(y(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 0. Let i = b + -7. Let a be -1 - -13 - 476\/119. What is the highest common divisor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-16) - (-2109)\/(-456). Put 17, u, -4 in increasing order.\nAnswer: u, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001000001 + -11001010?\nAnswer: 111101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 222?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -28. Let r(w) = -7*w - 1. Let j be r(-1). Let o be (j\/3)\/(1*h). Which is the closest to -0.1? (a) -2 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 20*u + 40*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(192)*2 + 5 + 2)**2.\nAnswer: 384*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/25 + 33\/100. Let f = -4.7 + 0.7. Let i = f - -4.1. What is the smallest value in u, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464141, 1856654, 4177507, 7426700, 11604233?\nAnswer: 16710106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/9 (b) -12.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75161 + -63293.287.\nAnswer: 11867.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373873 is divided by 698?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 3202100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 - 2201300?\nAnswer: -2202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*a**4 - 5*a**3 + 0 - a**2 + 0*a.\nAnswer: a**2*(a - 2)*(11*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqgpyvqc. Give prob of sequence pgqy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173458 by -2.\nAnswer: -86729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*28744.\nAnswer: -114976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/13 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(48)\/sqrt(4))\/sqrt(4) + (2 + sqrt(3)*-2 - (sqrt(81)\/sqrt(3) + sqrt(3))))**2.\nAnswer: -50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4.1. Let m(l) be the second derivative of -5*l**3\/6 + 3*l**2\/2 + 14*l. Let r be m(2). Sort v, r, -5 in increasing order.\nAnswer: r, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = 3*q. Which is bigger: -12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 37 = -45 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:16 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 710 = -5*g + 2135, 2*g - 2*o - 570 = 0. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-1)\/2*5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {n: 5, f: 5, q: 3}?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 4, o: 12, v: 2}. Give prob of sequence xox.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.8 - 5.8. Let s = j + -31. Let r = 23 - 18. Which is the second biggest value? (a) r (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000531514 to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 0.8. Which is the second biggest value? (a) -0.3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y + 312 = -73*y + 1347 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 4*v**2 + 0*v**2 + 3*v**2 + 2*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 (base 6) in base 14?\nAnswer: 15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 22*f**2 + 21*f - 43. Let s be j(-23). Suppose 3*i - 670 + 28 = -s*u, u = -2*i + 216. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 100.77?\nAnswer: 10.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 54550*q**3 - 3287160*q**2 + 42145280*q + 224665600 = 0 for q.\nAnswer: -10970, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 4*a**2 - 125374*a + 125374*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335*d*i**4 + 3499*d*i**2 + 70708*d*i - 9*d wrt i.\nAnswer: 4020*d*i**2 + 6998*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:49 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15155 divided by 35?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/(1\/5). Let l(w) = w - 2. Let k be l(p). Suppose k = 4*c + 37 - 249. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2 + 30843*i - 30844*i + 2 - 4. Let u(x) = -44*x**2 + 6*x + 7. Let m(l) = -44*l**2 + 5*l + 6. Let d(v) = -6*m(v) + 5*u(v). What is d(a(r))?\nAnswer: 44*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Suppose x = u + 4*u. Suppose 3*h + 4*w = -0*w + 33, u = h - w - 11. Solve v + 4 = s - 2, -4*s - 3*v = h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v + 13. Let a(j) = 9*j + 18. Let h(i) = 19*i + 47. Let y(q) = -5*a(q) + 2*h(q). What is 2*g(m) - 7*y(m)?\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*a = 127*a + 8. Is a >= -2\/761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -35*i**3 + 5*i**2 + 3740*i - 10. Let f(t) = -3*t**3 - 3*t**2 + 2*t - 1. Let b(n) = -10*f(n) + p(n). Factor b(m).\nAnswer: -5*m*(m - 31)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 139 - 713. What is the remainder when a is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463529.\nAnswer: 2463529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let t(g) = -243491*g. What is t(b(f))?\nAnswer: 243491*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 37*s**4\/24 - s**3\/6 - s**2. Let g be h(1). Let l be (45\/25)\/(3\/20). Calculate the highest common factor of g and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305, 0.1, -19, -0.3.\nAnswer: -19, -0.3, 0.1, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 128*b + 1024 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45825151 to the nearest integer?\nAnswer: 6769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 273999 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1948416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5863334 divided by -5627\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/392, -0.4, -1\/20, -555 in decreasing order.\nAnswer: 1\/392, -1\/20, -0.4, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135833, 271672, 407511, 543350, 679189?\nAnswer: 815028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469*s**3*u + 4160199*s**3 - 3*s**2*u**2 + 2085*u**2 wrt u.\nAnswer: 469*s**3 - 6*s**2*u + 4170*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 8*c + 205, 0 = -1582*l + 1581*l - 4*c - 107 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -82. Solve 0 = 4*l + 3*q + 31, l = g*q + 2 + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370.78812 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -24. Let w = s - 34.0062. Round w to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53142*q - 52927*q - 2736 - 1134 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -625.399 - -630. Let t = 0.399 + x. What is the nearest to -2\/5 in -0.3, 8, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2942 + 0.3942. What is the closest to 0.2 in 12, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 36450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*a + 4*f, -4*a - 2*f + 6*f + 28 = 0. Let j be 0\/(-2 - (1 - 1)). Solve j = -4*n - 25 + a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - 94\/(-10). Suppose -714 = 2*s + 4*g, 4*s - 16*g + 1401 = -15*g. Let z = -341 - s. Is h less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42893, -85789, -128685?\nAnswer: -171581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -91981 at most -91402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, -0.2, -2\/11, 0.02 in descending order.\nAnswer: 0.02, 0, -2\/11, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4*f)\/(f*f**(-2\/5)))\/((f\/(f*f*f*f*f**(-3)*f))\/f**(1\/5)))**(-47) assuming f is positive.\nAnswer: f**(-1316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*b - o + 26, -2 = -3*b - 5*o. Solve -3*s = m + 5, 0*s = -b*m - 3*s + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3184 and 9075992?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1733*x**2 - 1733*x**2 - 15*x**3)*(11*x - 24*x + 23*x) to s*x + l*x**2 + p*x**3 + y + j*x**4 and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5818974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 18. Let m be n(5). Let z(p) = -1 - 2*p**3 - 1 + 12*p**3 + 0. Let s(u) = 30*u**3 - 7. Determine m*z(w) - 2*s(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -92. Suppose h*r - 66 = -2*q + 167, -405 = -5*r + 5*q. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4453?\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2520 by 126.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 - -161. Let b(r) = 3*r**2 - 5*r**2 + 7*r**2 - 1. What is b(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*88\/(-990) - (-1)\/((-5)\/(-304))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 62*u**3 + 19*u + 17. Give g(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnvnnnnnnn?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -44. Let j = -847\/9 + 93. Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4*3\/6) + -2. Let j be (12\/(-10))\/(6\/20). Let f be (j\/10)\/(2\/10). Put 5, s, f in descending order.\nAnswer: 5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -434, -652?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + (6 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 210 = 926. What is the remainder when b is divided by (0 - -2)\/(402\/5226)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1171*v**4 + 6*v**2 - 5*v + 107. Let y(s) = 2*s**4 - s**2 + s + 1. Let z(d) = -a(d) - 6*y(d). Find the second derivative of z(u) wrt u.\nAnswer: 13908*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2427618 + -4794918. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1757 and -108.\nAnswer: -189756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 5.11.\nAnswer: 4.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00395881 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.26, -13, 1, -2, -36?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 367*j**3 - 3*j**2 - 9*j + 3. Let v(b) = 45140*b**3 - 370*b**2 - 1110*b + 370. What is -370*s(l) + 3*v(l)?\nAnswer: -370*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let v be ((-1)\/(-1))\/(1\/(-8)). Let f(g) = -3*g**2. Let k(r) = 5*r**2. Let o(q) = v*f(q) - 5*k(q). Calculate w(o(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 + -1)) + 77\/(-21)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 1566\/17?\nAnswer: 1566\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.55 - -0.45. Sort -13\/24, 1, c, -0.3, 3 in ascending order.\nAnswer: -13\/24, -0.3, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 7*i**2 + 7*i + 1. Let t = 0 - 6. Let w be m(t). Let d(v) = -v**3 - 4*v**2 + 2*v + 3. Calculate the remainder when 53 is divided by d(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z**(-1))\/z))**(-12)\/(z**6\/((z*z\/(z\/(z*z*z**(10\/9))))\/z*z*z)) assuming z is positive.\nAnswer: z**(-332\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572803 and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 3, b: 9, o: 2, d: 2, l: 1}. Give prob of picking 2 d, 1 o, and 1 s.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16*v - 7. Let k(z) be the second derivative of 47*z**3\/6 + 21*z**2\/2 + 9*z. Let c(d) = -6*k(d) - 17*w(d). Differentiate c(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6527072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-113 - (-8 - 8 - (6 + -8))).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180766 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -121270 plus 1.52?\nAnswer: -121268.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 20*a - 5*d = -950, -5*d = 25. Suppose -a = -4*m + 605. List the prime factors of m.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -2*v - 4*a, 5*a = 3*v - 33. Suppose -s = 3*s. Suppose 3*w - 16 = 5*m, 3*m + s + 8 = w. Solve 0 = -w*x - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2. Let u(a) be the first derivative of 7*a**3\/3 - 56. What is u(x(h))?\nAnswer: 112*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 2, f: 7}. Give prob of sequence fff.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -32. Let p = a + -45. Let v = 70 - p. What is the highest common factor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 994 + 992 = 0, 3*k = h - 60. Suppose -6 = -2*c + 2. Suppose 2*u = c*u - 56. Calculate the remainder when h is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011612429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 9. Give n(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327540 is divided by 25194.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165.7 + 166.1. Which is the nearest to 7? (a) -4\/3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95858937 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5 = -4*q, -2*a + 3*q - 979 = -991 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -2235, -3306, -4357, -5382, -6375, -7330, -8241?\nAnswer: -9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 + 478*q**3 - 1470*q**2 - 4366*q - 2420 = 0.\nAnswer: -242, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266990 to the power of 1\/2, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 301 - 48*n**3 + 53*n + 16*n**3 - 56*n**3 - 15*n**3. Find the first derivative of y(v) wrt v.\nAnswer: -618*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.8643.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/80? (a) 5 (b) -1\/10 (c) -215 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-56) + 118\/8. Calculate the highest common factor of v and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -14*l + 404482 + 35415, -4*l + 5*n + 125667 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99086 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 10*k**2 + 10*k - 4. Let l be d(9). Suppose -2*v = 5*y - 13, -l*v + 0 - 14 = -3*y. Let z = v + 5. Put 1, 2, z in descending order.\nAnswer: z, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 116. Suppose s*h = 6687 - 345. List the prime factors of h.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1660621.\nAnswer: 1259, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20148 by -1.\nAnswer: 20148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5888*h**2 - 459 - 323*h + 5116*h**3 - 5144*h**3 - 1229 + 4551*h.\nAnswer: -4*(h - 211)*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5442 + 5445. What is the greatest common factor of 47 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 65. Suppose -333 = m*o - 10*o. Let g(q) = -215*q - 2 + o*q + 108*q - 2*q**2. Determine g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 2*s**2 + 0*s**4 + s**2)*(14 - 7 - 73)*(-9 + 1 + 0).\nAnswer: -528*s**4 - 528*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/2511 and -4\/3807.\nAnswer: 118017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581631640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 57. Suppose -n = -3*o - 6*o. Let j(a) = a**2 + 3*a + 3. Let l be j(-2). Sort -2, l, o in increasing order.\nAnswer: -2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 433646.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.34 (c) 1.3 (d) -2\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7443286 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 117 - 117)*(5*z - 2*z - 2*z)*(3*z - 3*z - 2*z).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3382 + 3265. Suppose o = 5*f + 28, 0*o - f - 55 = -4*o. Calculate the highest common factor of v and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1067227647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 + 283. Suppose -k*o - 3*o = -5662. List the prime factors of o.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/53, 1, 1.92, -11?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 = -1. Suppose -62400000 = 3*v - a*r, -3*v + 3*r = -7*v - 83200000. Round v to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -62*g - 445. What is o(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250.0519435 rounded to two decimal places?\nAnswer: -1250.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 132, 163, 176, 165?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 73 + 38597*s**2.\nAnswer: 38597*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8325)\/630 - -24 - 4\/1) + -7?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 - 2984*t - 1113032 = 0. What is t?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21408 + -149764\/7. Sort 0.02, 1, r in descending order.\nAnswer: r, 1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/(-13398))\/(1\/(-1*18)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/15 - 123*c**5\/10 + c**4\/6 - 1759*c**3\/6 - 4711*c. What is the second derivative of z(i) wrt i?\nAnswer: -24*i**2 - 1476*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -173 and -179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 smaller than -9195213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:35 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6 and -126808457 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttqqtqr. What is prob of picking 2 q and 1 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-4 - (-24 - -9))) + -23\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 719542.4 years?\nAnswer: 7195.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a - 5*a + 2*a**3 - 8*a**3 - 22*a + 3*a**2 as l*a**3 + i*a**2 + k + w*a and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1347*o + 8. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180095 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -659 or 1\/3352?\nAnswer: 1\/3352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-5980)*23)\/(-2 - 32\/(-13)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and -187\/3660.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842990565?\nAnswer: 3, 5, 56199371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 6642 = -6*c - 95*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, 1.4818, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 762*s + 16008. Calculate g(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 (base 12) in base 15?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:12 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3152 + -1712. Find q such that -130*q**2 + 14*q**3 - 9*q**3 - 92*q - p + 1052*q = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**7*j)*j)**(-1\/9)\/(((j\/(j\/j**(-13)))\/j)\/j**(-3\/4)))**(-1\/3) assuming j is positive.\nAnswer: j**(-167\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1962910 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 62899 = 5*x - 3*j, 1 = j. Let w = -201333\/16 - x. What is the common denominator of -15\/32 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 5. Let y(k) = 20*k - 37. Let w be y(3). Suppose w = -h + 15. What is f(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 80*c + 5. Let s be m(-20). Find the third derivative of 6*f**5 - 4*f**4 + f**4 + s*f**4 - 4*f**2 - 2*f**5 + 3*f**5 + 9 wrt f.\nAnswer: 420*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/10*(-6)\/(-90).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -240234?\nAnswer: -240223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9*p*p)**(3\/4)\/(p\/(p\/(p**(-6\/5)\/p)))**(-12))**(-2) assuming p is positive.\nAnswer: p**(363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.34 + -0.34. Let r = -0.3 + 0.8. Sort r, -2\/7, b in increasing order.\nAnswer: -2\/7, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346322 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 6*h - 3*h)*(-251 + 9*h + 251 + (-8*h - h + 0*h)*(1 - 1 - 2)) to the form m*h + p + b*h**2 and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7538.5 - -7539. Let l = 3.6 - 0.6. Which is the fourth biggest value? (a) -7 (b) p (c) l (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 164\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 - -252. Is ((420 + -1)*1)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 38. What is the remainder when z(-12) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8246137, -16492274, -24738411, -32984548?\nAnswer: -41230685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 298?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 154*s**2 - 1297*s - 4886. What is u(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-319 - -4)*(-6)\/15. List the prime factors of (-3)\/(-2)*48720\/v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23176, -46347, -69516, -92683, -115848, -139011?\n\"Answer: h**2 - 23174*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from {l: 3, r: 6, q: 2, x: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134101877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (sqrt(612) + 5 + -3*sqrt(612)))**2 + 5 + 0 + sqrt(1700).\nAnswer: -170*sqrt(17) + 5538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(1125)*4)\/(sqrt(729)*1) - (sqrt(45)\/(sqrt(9) - sqrt(108)\/sqrt(192))*-5)**2.\nAnswer: -2000\/9 - 19*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -27\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 163. Let x = 56 + p. Let h = -121847 - -121863. What is the remainder when x is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 + 11*d - 5*d + 3*d + 17. Calculate the smallest common multiple of 26 and w(-7).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) - sqrt(3)*-1) + sqrt(3) + 4 + sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(243) + 0 + sqrt(243) + 1.\nAnswer: 3 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440005 (base 6) to base 2.\nAnswer: 1000110111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*(-9)\/24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (-5*(sqrt(405) + (sqrt(405) - (-4 + sqrt(405)))) - (sqrt(405) - (sqrt(405) + 0 + -3)))**2.\nAnswer: 2070*sqrt(5) + 10661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**3 - 7*f**2 - 2*f + 96. Calculate h(4).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-70)*(-125)\/10)\/((-200)\/64).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 4)*-3*2\/3. Suppose 9 = o*k - 341. Suppose -10*a + 1075 = k. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249022, -248935, -248848, -248761, -248674, -248587?\nAnswer: -248500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 46690000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -6\/11 (b) -5 (c) 1\/994 (d) 1148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30248658 divided by 22473\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*37 + (-1597944)\/21555.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 1. Let m(b) = -b**2 + 8*b + 2. Let d be m(8). Let j be 1*d + (-144)\/60. What is the nearest to j in 0.5, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9071, -4, -11\/20 in ascending order.\nAnswer: -9071, -4, -11\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/49608 and -61\/12.\nAnswer: 49608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 33 - 44. Let n = -19 - y. What is the least common multiple of -3 - (n - 6\/(-2)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -679\/6 - -260\/3. Find the common denominator of 145\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + g + 7 = 0, -3*b - 3*g - g = -7. Solve -i = -l + 2*l + 1, -3*i = -b*l - 29 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 55*a - 43 = 63 + 64, -90 = -4*r - 228*a + 226*a for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2878.92227 or 1?\nAnswer: 2878.92227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -372*k - 2196. Calculate a(-10).\nAnswer: 1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 12299 = -9565. Let r = -1004 + t. Suppose 2*g = -m + 670, -4*m + 851 + r = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n. Let d(j) = -142*j**2. Give d(w(h)).\nAnswer: -9088*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*(-7 + 1). Let l be 8\/(-2) + 51\/(-3). Let z be 2\/p + (-959)\/l. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s + 3. Let i(z) be the first derivative of z**2\/2 + z + 158. What is 6*i(o) - 2*m(o)?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2774896 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16146a6 (base 13) to base 16\nAnswer: -6c3b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:42 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -195*i**2 - 2*i - 1. Let c be h(2). Calculate the common denominator of -29\/10 and 2\/10 + c\/550.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92027 - 3?\nAnswer: -9202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 28 = 2*y. Let c = -9 + y. Suppose -3*m = -0*m + 5*x - 113, 2*x = c*m - 178. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7548054 divided by 14\nAnswer: 3774027\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 26*x**2 - 1719*x + 204. Let o be v(66). Solve 5*n = 3*z - 7, -17*z + 19*z = 4*n + o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57\/4? (a) -0.2 (b) 2 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 0) - (10 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qqgwg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20\/7 - 18\/7. Let s = 48.6 - 49. What is the nearest to -2\/5 in -2, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-344)\/(-43) - (11 + -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Suppose g = -4*n + v + 538, 0 = -5*n - 4*v + 364 + 319. Suppose n = 5*b - 0*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*k + 154 - 114, -15 = -2*o - 5*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**4 - 7*f**2 + 7*f + 2. Let j(v) = -3*v**2 + 3*v + 1. Suppose 3*i + 2 = -7. Let q(y) = i*u(y) + 7*j(y). What is the derivative of q(n) wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 133*1\/(-3). Solve 9*b + l = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 121471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + 13 + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04481561014 to five dps.\nAnswer: -0.04482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*j - 147*j - 3*j**2 - 143*j as a*j + f*j**2 + g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 351 - 332. Solve 4*n = 2*l - 16, 0*l = -3*l + 5*n + z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(180)\/sqrt(3))\/sqrt(5))\/(sqrt(4) + (sqrt(4) - sqrt(24)\/sqrt(6)*4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -11 + 3. Solve 0*s = -b - 3*s + t, -s = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 73 + 41. What is the highest common divisor of r and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/9 - 512*m**3\/9 - 6628*m**2\/3 - 187648*m\/9 + 208046\/9 = 0.\nAnswer: -211, -29, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 721\/1139 or -1?\nAnswer: 721\/1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (sqrt(108)*-1*-4)**2 + (sqrt(108) + 0 + 2)**2.\nAnswer: 30*sqrt(3) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*f + 20, 23 - 3 = 4*f + 5*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 581 + 3249916\nAnswer: 3250497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose w = -2*w + 12. Suppose r + u - 11 = 0, 27 = 3*r + w*u - 4. What is the remainder when r is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 77 = -32*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.16 + -3.8. Let r = v - 4.96. Let f = -4.59999888 - r. What is f rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2745565.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3332 and 41\/44.\nAnswer: 36652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m + 1. Suppose 0*c = -2*c - 6. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19956, 19804, 19652, 19500, 19348?\nAnswer: 19196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*b**2 + 183*b**2 + 17806*b**3.\nAnswer: 17806*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 36*m = 19388. Suppose -m = -12*r - 767. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(9)\/sqrt(48) + 5.\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-846045)\/6 + -4)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-4)\/12). Suppose -34 = 2*l - x*a, 3*l + 31 = -5*a - 58. Let c = 33 + l. Solve 4*r = 2*r + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 26*g + 2. Let q be y(-26). Suppose 0 = -5*h - q*h + 280. What is the highest common factor of 280 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3577900 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4. Let h be i(0). Suppose 5*u - h*u = 15. Calculate the remainder when 29 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2 * 36.\nAnswer: -259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345790112*l**2 - 532710867*l.\nAnswer: 691580224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 + 13*x**2 - 19*x + 14. Let l(j) = 0*j - 5*j + 6*j**2 - 28*j**3 - 4*j + 24*j**3 + 6. Let q(w) = 3*g(w) - 5*l(w). Give q(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 + (-69)\/(-21). Let x(h) = -h**3 + 9*h**2 - 7*h + 2. Calculate the lowest common multiple of (-2)\/3*(f + -6) and x(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2544.\nAnswer: 1\/1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5971254*y**3 - 3*y**2 + 14842587*y?\nAnswer: -35827524*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/2 - -21. Let t = 125 - 138.4. Let b = -13 - t. What is the second biggest value in 3, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2, -0.072, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*m - 674*m + 1019*m.\nAnswer: -147*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 110*u - 159. Calculate d(8).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/168 - x**6\/16 + 13*x**5\/48 - 5*x**4\/8 + 5*x**3\/6 + 7*x**2. Factor n(t).\nAnswer: 5*(t - 2)**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -46*c + 4. Let a(u) = 4*u. Give j(a(y)).\nAnswer: -184*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24055*f**5 + 30*f**2 + 1766.\nAnswer: 1443300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.2. Let x = -8 + 7. Let d be (x\/3)\/(7\/2). What is the biggest value in d, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 6 - 7 + 1.\nAnswer: -11*g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 5*z**2 + 5*z**2 + (0*z - 2*z + z)*(0 + 0 + 2*z) + (2*z + 3*z - 1096 + 1113)*(6*z - z - 4*z).\nAnswer: 6*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (290\/(-812))\/((-4)\/10*(-25)\/20)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 28*j**2 - j - 1. Calculate the remainder when y(2) is divided by 688\/602*(0 + 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.39 (b) 3\/5 (c) 0.2 (d) 376 (e) 0.4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 372818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -c, -2*c + 2*a - 60 = -7*c. Does 10 divide c*(-3)\/(6\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*g - 989*g + 211*g + 267*g + 896*g.\nAnswer: 1011*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -766.6 + -0.4. Let v = y + 689.8. Round v to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 14*i - 9. Let s be b(-7). Suppose s + 8 = 8*r. Suppose r*f = 315 + 135. What is the greatest common factor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13455434 (base 7) to base 6.\nAnswer: -42542255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b8 + -8c?\nAnswer: -1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -903 - -902.9161. Let c = p + 0.083091. Round c to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, -1\/5, 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287357, 286890, 286423, 285956?\nAnswer: 285489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -30241\/4985?\nAnswer: -30241\/4985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 36 = 4*z. Let n(t) = -14*t + 10*t + t**2 + 12*t + z. Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, s: 10, p: 3}. Give prob of picking 1 x, 1 p, and 1 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.43321 to one dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 + 60*x**3 - 615*x**2 + 1900*x - 1344 = 0.\nAnswer: 1, 4, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/40 - r**5\/10 - r**4\/4 - 15*r**2 + 3*r. Let b = -892 - -891. Let f(d) = -d**3 - d**2 - d. Calculate b*z(v) + 4*f(v).\nAnswer: -v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 230928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -848 + -7358. Let w = v + 206. Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5064328 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/16, -5, 6028, -1\/9?\nAnswer: 6028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 46*q**2 - 208*q + 69. Calculate w(41).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3952693 is divided by 3952646?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 223*h - 1602. Calculate m(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2247597 and 173\/9330.\nAnswer: 22475970","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 3. Let f be z(1). Suppose -a - 1645 = 2*p - f*p, 2*a = 10. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**8\/6720 - v**7\/420 - v**6\/120 - v**5\/20 + v**4\/6 - 9*v**2 - v. Let h(c) be the third derivative of l(c). Give h(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 87, 91, 95, 99, 103?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -267 + -42521?\nAnswer: -42788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2033, -3959, -5885?\n\"Answer: -1926*w - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 2*b)*(3 + 1 + 3)*(1 - 1 - 2).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6, 9 = 5*o - 3*o - 5*d. Let c(h) = -h**3 + h**2. Let b be c(o). Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734533781 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 863 - 242. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10a - -773?\nAnswer: 87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 10589139.\nAnswer: 2\/10589139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + 112 + (0 - -19 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -68?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433820383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 1472845.\nAnswer: 17674140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -29*h**6\/2 + 2*h**3\/3 - 343*h**2 + 589. Find the second derivative of z(o) wrt o.\nAnswer: -1740*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x + 1. Let k be l(-3). Let b be (-2)\/k - (-1113)\/3. Suppose 2*f + 115 = b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - 10228\/(-442). Let q = -396\/17 + u. Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 2*j**2 - 2*j + 1. Let n be c(2). Suppose -i + n*h = -2, 4*i + 2 = 5*i + h. Suppose -i*q + q + 4 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010100110010?\nAnswer: 1010100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -476*z**3 - 2*z**2 + 2*z + 4. Let q be k(-1). Calculate the greatest common divisor of 68 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = -5*x - 5*p + 110, 2*p + 1826 = 3*x + 1821 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -14, -17, -22?\n\"Answer: -j**2 + 2*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -11162?\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6200\/15 - (-1)\/(-3). Let t = n + -267. Suppose s + t = -s. What is s rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 11) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 31992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 45*u**3 - 7530*u**2 - 7480*u.\nAnswer: 5*u*(u - 44)*(u + 1)*(u + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-633*t**3 + 15*t**2 - 2*t**2 + 639*t**3)*(-4 + 0 + 3)*(2*t + 0 + 0)*(12 - 3 + 2).\nAnswer: -132*t**4 - 286*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192745 and 5?\nAnswer: 192745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/7 + 3012*h**3\/7 + 116920*h**2\/7 + 107904*h\/7 - 227840\/7 = 0 for h.\nAnswer: -712, -40, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5811 and 3276.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 72, 97, 106, 93, 52, -23?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*x - 2716787 - 1462406. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5 - 9. Suppose -2*o - d = -6. Suppose 7*v - 3665 = o*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4 + 1. Find the second derivative of -o*q**2 + 13*q**5 + 2*q**2 - 22*q + 3*q**2 wrt q.\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*f = 9 - 31, 0 = -3*f - 15. Let n(t) = t - 4*t + 3*t**v + t**3 + 0*t**2 - 1. What is the units digit of n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-817134)\/(-39) - (-330)\/(-2145)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/26)\/(d**9\/d*d)*(d**1)**(1\/33) assuming d is positive.\nAnswer: d**(-7663\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (44 - -1 - (9 - (15 - (-4 + 16))))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(14\/5 - 2\/5). Let y(z) = -z - 20. Let i be y(u). Let j = 2 + i. Is j greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c50 (base 14) in base 7?\nAnswer: -362030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -39*d**5\/20 + 8*d**2 + 7*d. Let l(a) = -9*a. Let c(m) = -8*m. Let v(i) = 5*c(i) - 4*l(i). Determine v(x(s)).\nAnswer: 468*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 7, l: 7}. What is prob of sequence mm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280*o**3 + 2228*o**2 + 4384*o - 192.\nAnswer: 4*(o + 4)**2*(70*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 32 = -6. Calculate the greatest common factor of 104 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5))\/d**(-1\/7))**(1\/22)*((d\/(d\/d**(-7)))\/(d*d**(-7)))**4 assuming d is positive.\nAnswer: d**(-643\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*t + 8, 5*x + 501 = -2*t + 515 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + (-72)\/(-20). Suppose 0*k - x*k = -24. Let i = 5 - k. Are i and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/336 + y**7\/7 + y**5\/60 - 25*y**4\/8 - 3*y**2. Find the third derivative of j(m) wrt m.\nAnswer: 60*m**2 + 720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/3? (a) -2\/9 (b) -1\/10 (c) 4 (d) 0.3 (e) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-4)*m))**(-1\/2))**(2\/49))**(-13) assuming m is positive.\nAnswer: m**(39\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573950 is divided by 137?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + -38280?\nAnswer: -38327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x + 41 = -2*x, -2*v + 14 = -2*x. Let s(w) = -5*w - 4. What is the remainder when s(-7) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*i + 47*i + 4130. Suppose -i = -3*c + 5*p, c - 2*p - 98 = 179. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 6. Let o be c(4). Let l be 4\/o + 378\/(-45). Let u = l + 12. Solve 0 = -s - 2*s - 3*f - 9, 3*f = -u*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 3\/583637?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -65. Let o(m) be the second derivative of 0*m**4 + m - 1\/10*m**5 + 1\/2*m**2 + q*m**3 + 0. Differentiate o(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -64, 1\/5, 0.4, 66?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 0.0108. Round h to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2274 divide 127944336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10*(-66)\/7040)\/(270\/(-4)). Let d(p) be the third derivative of 18*p**2 + 1\/3*p**4 + 13\/360*p**5 + 0*p + j*p**6 + p**3 + 0. Factor d(w).\nAnswer: (w + 1)*(w + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 238\/3*s**4 - 86*s**3 + 160\/3*s - 8 + 98\/3*s**5 - 214\/3*s**2 = 0. Calculate s.\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x - 1. Is 4 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 466 + -445 - (7 - (-2 + 4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 less than -195?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 105898?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28149, 56297, 84445, 112593, 140741?\nAnswer: 168889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 1 r when three letters picked without replacement from {x: 2, l: 4, r: 1, g: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/c**(4\/3))\/(c**0)**(17\/5) assuming c is positive.\nAnswer: c**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 + 24*a**4 + 54*a**3 + 12*a**2 - 57*a - 36 = 0?\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 1 + 1 + 3*f + f - 3*f - 84 + 84 - 10*f + (-3*f + 5*f - f)*(-6 + 4 + 1) as c + k*f and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-14))\/(6\/(-21)). Suppose w*r + 125 = 433. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 4. Let h(r) = r**3 + r**2 - r - 3. What is the remainder when h(3) is divided by 4 + 2 + -2 - c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**2 + 5*v + 3. Let x be a(-3). Let w = x - 61. Suppose -5975 - 7550 = -5*i - 5*r, -w = 4*r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8261 + 5210. Let l = -3051.08885 - t. Let c = l + 0.09. Round c to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -111, -242, -425, -660?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:25 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10304661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 + 4*x. Let i(d) = -d**2 - d + 3. Let o be i(0). Calculate u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -31\/2768?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and -17\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5637*j + 16850. Calculate z(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-35) - 183\/(-410) and -10 - -5*187\/121.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a - 51*a - 170*a = 8120 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-262.37289\nAnswer: -131.186445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 181221.8l in millilitres?\nAnswer: 181221800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/42 - 40*i**3\/21 - 279*i**2\/7 + 1069*i. Factor d(p).\nAnswer: -2*(p + 9)*(p + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**2*p + 2*g**2*x**2 - 14509*g**2 + g*x + 4215*p*x**2 + 4*p - 17*x with respect to p.\nAnswer: 7*g**2 + 4215*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9668195.1 nanoseconds?\nAnswer: 0.00000011190040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*((1*sqrt(684) - sqrt(684)) + -1 - sqrt(684) - sqrt(684)) + (sqrt(684) + 4*sqrt(684))*-2*6 + -5).\nAnswer: -792*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 25\/3, -4\/5, 2\/671, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from vjancajnbnnv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-33)*(-3 - -3). Suppose -5*h + 21 + 4 = x. Solve -h*k + 10 = -7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**2)\/(q*(q\/(q\/(q*q\/(q\/(q*q**(-4))))))\/q)*q**(-1\/12)\/(q**(3\/10)\/q) assuming q is positive.\nAnswer: q**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 570\/76*((-4)\/(-22) + 260\/143). Solve -9*z + 6*z - a = -3*q, -3*z - 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2 + -10. Let n = -6487\/30 - -2139\/10. Sort t, n, 4 in increasing order.\nAnswer: n, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 2*b)*(1 + 1 - 1) + (2*b - 4*b + 0*b)*(-8 - 8 - 1).\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -16991264.\nAnswer: -43\/8495632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 57. Let q(s) = s**2 + 15*s - 16. Let m be q(c). Is -31 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 17*l + 1632. Suppose -9*j = -13*j + l. Suppose o + 2*r = -3*o + j, -4*r = 2*o - 198. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - d = -416 - 216, a + 5*d = 334. Suppose 3*h - 344 = -a. What is the remainder when 35 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266 + 266.119. What is m rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070105598 to the power of 1\/2, to the nearest integer?\nAnswer: 45498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 - 40. Let l = k + -111.95. Which is the biggest value? (a) -0.1 (b) l (c) -3 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 + 18*r + 10. Let i be g(-8). Let k be (i\/(-15))\/((-11)\/(275\/40)). What is the closest to 1 in -0.07, k, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3503 - 3489. What is the greatest common divisor of l and 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.58899?\nAnswer: 2.94495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -1*sqrt(228))*4 + sqrt(228))\/(sqrt(108) + 1*sqrt(108)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 19*x**2 - 44*x - 95. Give h(11).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-44)*(-8)\/(-6). Sort a, -3, 2\/7.\nAnswer: -3, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 8846596?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*t + 2895, 8*t = -y + 3*t + 579. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34531 + 1?\nAnswer: 34532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2))**27*(c\/(c*c**(-2\/5)\/c*c)*c)**(-24))**(-37))**(-2\/157) assuming c is positive.\nAnswer: c**(-7437\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -539.5 + 540. Which is the closest to -1? (a) -72 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -1.798424946672?\nAnswer: -23.201575053328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-3 + 3) - 0. Suppose 22*f - 80 = 6*f. Suppose g = -0*r - f*r - 25. Put r, 4, 5 in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -33628 > 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n = -20. Suppose -2*d - n = -6*d. Solve -4 + d = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328112 + 211996 = 6668*x for x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 + 10 - 16 + 24*d**2 in the form b + r*d + i*d**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkgzzgkzk. Give prob of picking 3 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274607809?\nAnswer: 7, 89, 62969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -17. Let o be i\/(-2)*(-14)\/(-21). Which is the smallest value? (a) 3\/5 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 1, n: 3, k: 1, u: 3, c: 3, f: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 12. Let d = 11 - p. Solve 0 = 2*x + d - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(396))**2 - sqrt(11)) + 1)*-2.\nAnswer: -812 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-9)\/c*c))**41\/(c**(-18)\/c**(1\/17)) assuming c is positive.\nAnswer: c**(7277\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 61, -3\/5, -24, -1.\nAnswer: -24, -1, -3\/5, 5\/2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 less than -44895?\nAnswer: -44953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 63 - 114 = 0. Suppose 166 - 7 = 3*q - 5*g, -g = 3*q - w. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80834\/41 or -1973?\nAnswer: -80834\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/3 (b) -4\/7 (c) -7.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 9*t - 9 + 216*t + 2 + 192*t as p*t + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 270244.\nAnswer: 7837076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22748, -22781, -22814, -22847, -22880?\nAnswer: -22913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2 - 5*c + 1. Let x(o) = 13*o**2 - 8*o + 1. Let b(u) = 8*q(u) - 5*x(u). Differentiate b(a) with respect to a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/7 + 10\/35. Suppose -q + 4*o - 65 = -4*q, -y = -q - o. Is ((-26)\/5)\/((-3)\/q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 231. Let r be n(-43). What is the remainder when (3 + r)*1*12\/9 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2610 - 762. Let u be p\/(-36)*(-6)\/4. Let c = u - 34. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407\/(-234)*8*(0 + -3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 - 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.1. Which is the biggest value? (a) -10 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = 4*a + 32, 2*k + 1 = 3*a. Suppose 0 = -4755*r + 4787*r - 4 + 4. Sort a, 1, 3, r in ascending order.\nAnswer: a, r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 + -456702.2411\nAnswer: -456702.0511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from cbcbbcccbcc.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*u - 9, -u - 3*u + 2 = t. Let s = 156 - 154. Suppose s - t = -x. Solve -15 = x*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -728, -1150, -1572, -1994, -2416?\n\"Answer: -422*t - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 23 = -5*j + 23, 5*c = 5*j - 70 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) - (-1 - -1). Let z(w) = w + 3. Let d be z(-5). Sort 1\/2, l, d in increasing order.\nAnswer: d, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**2 + 5*o - 6. Give r(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 3\/2.\nAnswer: -24, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s + s - 7*s + 2*s. Let k(z) = 23*z**2 + 5. Let x(b) = 81*b**2 + 18. Let h be (9\/(-6) + 1)*10. Let u(p) = h*x(p) + 18*k(p). Give u(g(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 - 8*p**2 + 16*p**2 + 7*p**6 + 3898*p**4 - 5*p**6 + 13*p**2 + 19 wrt p.\nAnswer: 240*p**3 + 93552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 4*t + 1 - 4*t)*(-2 - 1 + 2).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 10*b**2 - b - 9. Let f be a(-10). Let j(s) = -s**2 - s + 4. Let p be j(0). Let m(v) = 4*v - p + 7*v**3 - 3*v - 4 + 7. Calculate m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 i when four letters picked without replacement from fiifffiiffsiifiiiss.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 + 698*h + 2796. Calculate the least common multiple of 2844 and f(-4).\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q - 20 = 0, -d = -4*q - 733. What are the prime factors of d?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032003 (base 5) to base 7.\nAnswer: 102521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1088) - (sqrt(1088) + 0 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 + 2*n**2 + n - 1. Give d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y + 7*y - 5 - 2*y + 7 - 7*y. Let m(t) = -66*t - 8. Let i(u) = 2*m(u) + 9*p(u). Give i(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/17 + -519\/646. Let a = -2132\/57 - -1437\/38. Let t = x - a. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 28 = 248. Let m be g\/20 - (-6)\/(-10). Let o be 3\/((-3)\/m) + 4. Solve o = -r - 1 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 at most as big as 232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*k - 72. Suppose k + 7 = q. What is c in 25*c**4 + 3*c**2 - 43*c**4 + 3*c**3 + c + q*c**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:24 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 53 = 3*w + 2*n, 12 = 4*n. Suppose 3*m + 4*r + 63 = 0, 2*m - r + 103 = -2*m. Let y = w - m. Solve y*g = -4*p + 29, -2 = 2*p - 0*g - 4*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -2\/3, 3, -26, -6.\nAnswer: -26, -6, -2\/3, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Put f, 1, -1 in increasing order.\nAnswer: -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*i + 4532 = 0, 19*f - 17*f = 2*i + 4514. What are the prime factors of f?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/120492 and 61\/24.\nAnswer: 240984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 22, 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233007.\nAnswer: 23, 53609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130485, -130486, -130487?\n\"Answer: -t - 130484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 5 - 1) + 1 - -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 43.0196. Round q to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 71*c**5\/10 - 2*c**4\/3 + 5*c**3\/2 + 102*c**2. Is n(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176*b*w**2 + 978877*b - 246*w**2 - 262367*w - 1 with respect to b.\nAnswer: -176*w**2 + 978877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.02 - 0.02. Suppose -141 + 99 = 6*t. Let i be 1*t\/(-35) + 0. Which is the nearest to 1? (a) r (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2486, -9843, -22084, -39221, -61266, -88231, -120128?\n\"Answer: -2*h**3 - 2430*h**2 - 53*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 8, u: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/((-26)\/(-4)) + 739. Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 = -3*b + 487. Suppose -5*z + 65 = -10. Suppose -2*q = -z - 41. Calculate the remainder when q is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-26)*8\/(-84))\/(2\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3637003*g**5 + 21*g**4 - 42583664*g - 1.\nAnswer: 72740060*g**3 + 252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(4\/3))\/p**5)**(-18\/11))**(4\/29) assuming p is positive.\nAnswer: p**(384\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 2390621.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/55*(-10)\/4. Suppose -5 = -1120*c - 0 - 5. Is c greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10795 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 312212323 (base 4) to base 12\nAnswer: a9537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.126400721 to 4 dps.\nAnswer: 0.1264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/28)\/((-2)\/32*2). Suppose -2*w - 5*q = 2*w - 227, -b*q = 4*w - 224. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 9*s + 684 + s**2 + 678 - 1356 to the form u + c*s**4 + f*s + v*s**2 + b*s**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5398215307643400521 - 5398215346805648064.99999797. Let s = 39162247356 + z. Let y = s - -188. What is y rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8812531*q**3 - 1608620?\nAnswer: -26437593*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.23 - 0.19. Let a = -0.04 + i. Put 1\/2, -1, a in decreasing order.\nAnswer: a, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -3.0198897.\nAnswer: -3.5198897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 74*g + 319 = -347 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 - 3720*d**2 + 1729800*d = 0. Calculate d.\nAnswer: 0, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-208)\/(-65))\/(-1 - (-7)\/5). Suppose 0 = -2*f + d, -y = -0*y + f - 28. What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + z + 4. Let w be x(-3). Let i = -23\/2 + w. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -8. Let b = 22 - 22. Sort b, 5, y in descending order.\nAnswer: 5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*s**2)*((-s + 2 - 2)*(-2*s + s - s) + 114*s**2 - 13*s**2 + s**2).\nAnswer: 208*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 94*o**2 + 3. Let a(w) = -72*w. Calculate j(a(t)).\nAnswer: 487296*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16287 + 9326. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 8, 5, -2.\nAnswer: -14, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 3, -21, -5 in descending order.\nAnswer: 4, 3, -5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 + 100*u - 96 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1 + 0*a**2 - 2 - 5*a**2 + 3*a**2 - 4*a. Let c(k) = -6*k**2 - 11*k - 3. Give 4*c(b) - 11*y(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940076.\nAnswer: 2, 3, 53891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -21 (c) 514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.75 - -1.2. Let y = k - -0.474. Let s = -5.924 + y. Which is the closest to 1? (a) 5\/4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzmx when four letters picked without replacement from mfhxhxxzmxhrzhm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.61*-4.\nAnswer: -230.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 85*b = -84*b - 169665, 4*y - 135732 = 2*b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4 = -4*r + 2*w, 16 = r - 3*w. Let i(o) = o - 4. Let x(g) be the second derivative of g**2\/2 + 11*g. What is r*x(h) + i(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10063936 divided by -1257992.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191585590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1731.40254 milliseconds to days.\nAnswer: 0.00002003938125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.637 * -39.\nAnswer: 24.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.324 - 0.4. Let x = 60.924 - r. Let y = -63 + x. What is the smallest value in y, 2\/15, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264698736 is divided by 4414?\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7551)\/12*180\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 2339.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8127 and 167227?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586123, -1172247, -1758371, -2344495, -2930619, -3516743?\nAnswer: -4102867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s**5 + 1920*s**4 + 101748*s**3 - 70614*s**2 - 101757*s + 68694 = 0 for s.\nAnswer: -107, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 1 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*i, -3*i + 15 = 3*j - 2*i. Let a = 0.18 - 6.18. Let k = -6.2 - a. What is the closest to k in 1, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/154972 and -93\/2890.\nAnswer: 13172620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.53 and 252248722150.\nAnswer: 252248722154.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - n**2 + 4*n + 0*n**2 - 3*n in the form m + t*n + f*n**2 + g*n**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 63855 divided by -4257\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2322324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -4*g + i - 64, 0 = 3*g - i - 245. What is the remainder when g is divided by 6\/9 + (-1768)\/(-156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (2 - (9 - 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85412 is divided by 85408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310685 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcccfcfcvcvcvvccc. What is prob of sequence vcc?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*l**2 - l + 49.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 2 y when four letters picked without replacement from {f: 1, e: 3, t: 2, y: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose 0 = 3*l - 2*y, -2*l + y = -k*y. Suppose -2 = -l*c - c. Calculate the greatest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 28*n**2 + 272*n - 40. Let m be i(-12). Calculate the greatest common factor of m and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggkgkkkgkgpgkggg. What is prob of picking 1 k and 1 p?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 78. Solve 3 = -5*x + f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, -1\/126, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 take away 2491516?\nAnswer: -2491518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 311 in -93, 0.5, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*q**3 - 56*q**3 + 104*q**3 - 17*q**3.\nAnswer: 924*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -7*x**5\/60 + x**4\/8 - x**3\/2 - 1855*x**2. Let o(f) = 6*f**2 - 2*f + 3. Determine 6*o(w) + 5*u(w).\nAnswer: w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8565632, -8565619, -8565606, -8565593, -8565580, -8565567?\nAnswer: -8565554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + w**2 - w - 1. Give s(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -g - 24, 6*g - 3*h - 68 = -47 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0925287 + 131421.8425287. Let w = 131423.84999775 - k. Let q = w + -2.1. Round q to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4 - 950091*j**3 - 100296673110*j**2 - 3529239332761284*j + 3529339630384488 = 0.\nAnswer: -105566, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 272403935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(6\/(-3)))\/((-10)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-4) + (-6)\/(-24). Let d(q) = -22*q**2 + 25*q - 11. Let l = -48 - -39. Let y(c) = 5*c**2 - 6*c + 3. Let m(p) = l*y(p) - 2*d(p). Give m(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -96*g - 567. What is v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**6\/30 - f**5\/15 + 2*f**2 - 3. Let o(s) be the second derivative of h(s). Find the third derivative of o(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 197*d + 8648. Calculate m(107).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 103*w**2 + 1659*w + 408. What is the thousands digit of n(-118)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 63*j**3 - 2*j**2 + 14*j + 59. Let f be t(-8). Round f to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 981767?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = 0, -s + 137 = -3*x + x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let d be 0\/1 + 6 + 1. Let x(q) = 23*q**2 - 6*q**2 - d*q**2. Determine x(c(p)).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -23*s**5\/5 + 7*s**4\/2 + 779*s**3\/3 - 2*s - 505. Find the third derivative of r(g) wrt g.\nAnswer: -552*g + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-200)\/150 + 20\/(-3). Is r > -172\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22242017 is divided by 2230.\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 20 = 0. Suppose 0 = -f*r + 10, -2*a + 2*r = -0*r. Suppose -a*w = -59 - 33. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 20. Let o be w(-6). Let g(v) = o + 5 + 512*v - 518*v - 5. Determine g(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4788\/684)\/((-3738)\/12)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = -r. Let f = r + 1. Let c(j) = 2*j**2 + 2. Is c(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = 16. Suppose 7*f - 2*f - u = -5*g, 5*f = g - 20. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 200201?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(((-32)\/864)\/(42\/(-27)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20231.11136 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 2, i: 1, r: 1, x: 6}. What is prob of sequence ikx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10596816 divided by -220767.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172933 and 26?\nAnswer: -4496258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, n: 2, h: 2, i: 1, u: 2}. What is prob of picking 1 f and 2 n?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3467, 1, -2 in decreasing order.\nAnswer: 1, -2, -3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 1 + 10. Let d be (0 + 1 - -3) + -1. Let i be 3875\/125 + (-36 - -10). Solve d*j = -i*q, m*q = q + j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 216*q - 3084. What is z(12)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10687, -21375, -32063?\n\"Answer: -10688*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5 - 6005*b**4 + 142070*b**3 - 978230*b**2 + 1554245*b - 712085 = 0. Calculate b.\nAnswer: 1, 11, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 70. Let z be (o\/(-3))\/(14\/(-21)). Is z bigger than 2\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77171803 to the power of 1\/2, to the nearest integer?\nAnswer: 8785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*f**2 - 184*f**2 + 134*f**2 + 0*f**3 - f**3 + 5*f**3 as j*f + q*f**2 + z*f**3 + l and give q.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/60*p**6 + 3*p**2 + 0 - 7\/6*p**3 + 0*p - 1\/24*p**4 + 1\/12*p**5. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f**3 + 2*f**2 + 2*f - 4. Let w(i) = -26*i**3 - 3*i**2 - 2*i + 6. Give -6*a(x) - 4*w(x).\nAnswer: -52*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018450890922 rounded to five dps?\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -428.48153 + 467.6798. Let n = w - 39.2. What is n rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 331*p - 6899. Calculate s(141).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 48. Suppose -m + 3 - l = 0. Is -3 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1083 and 252?\nAnswer: 90972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 8*l - 95 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 55. Suppose -m = -2*v - v + q, 6 = -3*q. What is the derivative of 3 - 28*s**2 - v*s**4 + 15*s**2 + 13*s**2 wrt s?\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6552 divided by -126?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:01 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*k - 302*k + 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/2))\/d**(-9\/10)*(d\/(d\/d**(6\/11))*d)**(-6\/13) assuming d is positive.\nAnswer: d**(491\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 5*w**8\/336 - 13*w**7\/42 + 35*w**6\/24 + 49*w**5\/12 - 116*w**2 + w + 6. Let l(r) = 0. What is r?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -11, -5 in ascending order.\nAnswer: -32, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18326536 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (-1 - -14) + (2 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 775 times 6.49\nAnswer: 5029.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/5 - -26) + -29?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4986 and (-12)\/8*(-252)\/1323 - (-80)\/14.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*c - 800*c - 174 = -2*x, 0 = -5*x + c + 27 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {j: 5, b: 2, u: 1, t: 2, q: 2, f: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000379 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/145 and -27\/101701753?\nAnswer: 508508765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)\/((-1)\/33). Let o = t - -15. Let f be o\/(-12)*(-20)\/(-6). Solve l - 1 + 0 = x, 4*l - 22 = -f*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -211\/3? (a) -0.05 (b) -87 (c) -3\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31769716*n + 4559886 wrt n.\nAnswer: 31769716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 - 1 = 0. Let p(u) be the first derivative of -1 + 0*u - 1\/2*u**2 - 1\/6*u**6 + 0*u**3 + 0*u**i + 0*u**5. Find the second derivative of p(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/1012 - (-172)\/391)\/(4992\/1632).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-698)\/(-28) - (-568)\/7952\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*s - 63*s + 476*s - 9*s + 281*s.\nAnswer: 794*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 5.\nAnswer: 297\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192 = -261*i - 387*i + 24080 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 7*p**2 + 24*p - 439. List the prime factors of c(-31).\nAnswer: 2, 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5901 + 41339\/7. Determine p, given that -h*p**2 - 72\/7 - 12*p - 4\/7*p**3 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 84*j**2 - 1730*j - 25641. Determine b(-63).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -254034, -253983, -253940, -253911, -253902?\n\"Answer: -q**3 + 2*q**2 + 52*q - 254087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 o when four letters picked without replacement from oohhohohohhhoohohoho.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 516791 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3097 - -2526. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 62011560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + l. Let a(i) = -25*i - 1. What is the tens digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 34*m = -2*c + 16, 2*m = -2. What is the highest common divisor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {p: 4, l: 1, z: 1, j: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2577 times 31.8\nAnswer: 8.19486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5160 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-341)\/62 + (-1 + 2)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 (base 12) in base 2?\nAnswer: -1010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45950.92 rounded to the nearest one hundred?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29ce5 (base 15) to base 7.\nAnswer: 1100150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 9, -2*s - s + 4*q = -24. Let c = 1001 + -995. Calculate the smallest common multiple of s and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b + 153. Suppose -3004 = 47*y - b*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 5*r**3 - 7*r**3 + 4*r**3 + 51*r + 126*r to the form v*r**3 + x + a*r**2 + j*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -183 - 1884*y + 181 - 3317*y. Suppose 3*j + 0 = -6. Let g be r(j). Round g to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 2*z - 3*z**2 + 129 + 4*z**2 - 126 + z**3 to i*z**3 + g*z**4 + f*z + w*z**2 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x + 1. Let z be n(1). Let m be (-2)\/(0 - (-2)\/z). Suppose -3*c + m = 0, 6 = 4*a + 2*c - 4*c. Solve w = -3*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*2)**2 + (5 + sqrt(325))**2 + 4.\nAnswer: 50*sqrt(13) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3043 - 23177 - 4816 = 1934*k + 27268 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.3 + 18.8. Let t = -0.1 + -0.2. Put b, -1\/3, t in descending order.\nAnswer: t, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 8*b + 7. Let j = -6 - -1. Let l be i(j). Let c be (-2)\/(-7) + 120\/21. What is the greatest common factor of l and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:26 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -4*m + 2, -m + 4*s + 18 = 0. Let z = m + -1. Solve 4*f = -21 + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 4793\nAnswer: -57\/4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccciccccc. Give prob of sequence icc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 158*g**2 + 160*g + 256. Let k be n(-80). Do 262 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -4*d - 68, 39 = -d + 5*h. Let k(u) = u**3 + 15*u**2 + 13*u + 19. What is k(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69066, -69057, -69046, -69033, -69018?\n\"Answer: x**2 + 6*x - 69073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13901 = -3*o - 16204. Is (3\/9)\/((-5)\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 33*h**2 - 9*h - 168. Let o be k(33). Which is smaller: o or -462?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3316*f**3 + 9940*f**3 - 3313*f**3 - 3312*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -593, -4696, -15769, -37280, -72697, -125488?\n\"Answer: -578*q**3 - 17*q**2 - 6*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 12*u - 2. What is the remainder when r(-8) is divided by 127?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -543 (b) 4 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 1. Let i = 1 - -2. Let a be c(i). Let j be a*(-1 - -701 - 0). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*l - 6 - 17, -5*w - l = -24. Let d be 0 - (0 - (2 + -2)). Let s = w + d. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 69 = 9*f + 16*f. Let l(p) = 1. Let u(m) = -m + 2. Give f*u(d) - 4*l(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/8190 and 113\/229060.\nAnswer: 14430780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 558, 2\/15, -27777?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/721776959 or 1?\nAnswer: -2\/721776959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose -44*y + 26*y = -126. Solve w + 10 - y = r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314279\/63801 - 10\/(2\/1)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/(15\/(-5))*((-5880)\/(-160))\/(-147).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 1 = -8*t. Suppose 3*p - 3118 = -c + 6*c, 0 = -p - t*c + 1045. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 - 1)*-1 - -4. Solve -5*h + 5*a - t = 0, 7*h - 6*h - 2*a = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 63 = -15*n - 9*g, -4*n + 4*g = 12. Solve 3*h - 3*d - n = 0, -4*h = -4*d + 2*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9729809 meters to micrometers.\nAnswer: 972980.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Suppose 3*m = -s*z + 22, -2*m + 9 = -3*z - 0*z. Suppose -m*a = -a + 10000000. Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3*i + 2. Let o be k(0). Let u be o\/(-4)*(-4 - 2). Solve -u + 0 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286151 is divided by 1540.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkkyyqqqqqkkkqqqkqk. Give prob of sequence yqk.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 at most as big as -480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -46, -63, -98, -157, -246, -371, -538?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 4:29 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*f + 83838, f + 12*l - 16768 = 13*l. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-7 - (-21 + 0)) - -13) + 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4151*j**3 + 2*j**2 + j + 126.\nAnswer: 24906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3435.14 from -3467.618.\nAnswer: -6902.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89023\/15 + -5933. Calculate the common denominator of -59\/96 and u.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -3*y + 0*y + 3*p = -30. Suppose 5*c = y - 5. Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1781 + 1785.3536. Let v = -0.0164 - q. Let h = 0.63 - v. What is the third biggest value in h, -5, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -4, 3?\n\"Answer: 7*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -28. Let u be (52\/6)\/(11\/(-33)). Let o = 44 + u. Calculate the highest common divisor of o and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -73, -55, -17, 47?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 9. Let f be s(-5). Suppose -z + f = 0, 4*z - 2 = -3*d + 17. Let b be (-6)\/15 + 1\/5. Sort -3, d, b in decreasing order.\nAnswer: d, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1710507 milligrams in nanograms?\nAnswer: 171050.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 335855765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 2*v + 50 = 0, 9*s + 30 = 5*s + 2*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12751 is divided by 975?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*h = -20, -6*p + 4*h = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -38*h - 138 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259436 grams in micrograms?\nAnswer: 259436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5139*n**3 + 5*n**2 - 15*n. Let l(y) = -10277*y**3 - 9*y**2 + 25*y. What is -5*i(t) - 3*l(t)?\nAnswer: 5136*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q*q*q**6\/q)\/(q**(-2\/3)\/(q**(3\/2)*q)))\/(q**4\/(q\/(q**(1\/9)\/q))*((q*q**0)\/q*q*q)**(5\/3)) assuming q is positive.\nAnswer: q**(157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-50)\/15 - -3). Suppose -4 = -4*f, t*a - f = 3*a - 22. Calculate the highest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 48 = 20*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 65*y**2 + y + 65.\nAnswer: -(y - 1)*(y + 1)*(y + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12075, -48311, -108703, -193251?\n\"Answer: -12078*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 594*o**2 + 589*o - 1696. Give a(-199).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.1325 - 109.\nAnswer: -114.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*t = -3*r + 12, -4*t = 2*r - 16. Solve -5*v = -4*v + 4*o + 18, r = 2*v - 3*o - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2.2 (c) -2\/11 (d) 0.5 (e) -3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 29.4?\nAnswer: 11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 347 + -343. Find the first derivative of -71*f**k - 237*f**2 - 235*f**2 + 65 + 472*f**2 wrt f.\nAnswer: -284*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -23*u + 22*u**3 + 6*u**2 + 3 - 11*u**3 - 10*u**3 - 4*u**3. Let k(c) = 2*c**3 - 4*c**2 + 16*c - 2. Let t(h) = 5*b(h) + 7*k(h). Determine t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19456 is divided by 17839?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -18*k + 1140. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 - 610*i**3\/3 + 2390*i**2 - 63*i - 15. What is the first derivative of s(t) wrt t?\nAnswer: 3*t**2 - 1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(-212))\/(3\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 241, 518, 905, 1402?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500))*-2 + sqrt(500) + ((1*sqrt(500))**2 - sqrt(500))*-1 + -2.\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/4 - 4*(-1)\/16. Let x be (-1 - (-3 - 41)) + s. Solve 0 = -2*m + 4*m - 3*b + 22, 5*m + x = 5*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 - 3*f - 21. Let d be g(-7). Solve -5*b - 3*b + 16 = d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29507.49l in millilitres?\nAnswer: 29507490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8649 is divided by 332.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 4. Let r = d + 4.8. What is the closest to 1\/4 in -5, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 2*x**2 - 15*x - 5. Let t(m) = 3*m**3 - 2*m**2 - 17*m - 6. Calculate -5*t(k) + 6*u(k).\nAnswer: 3*k**3 - 2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-76) + (-60)\/33250*(-5488)\/147?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 259412 times -5\nAnswer: -1297060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000732032 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwy when three letters picked without replacement from ywwyyyywxw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3804 = 17*q - 20*q + 3*j, 2*q + 3*j = 2516. What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*w = -24, 5*w + 4 = 14. Let g = k + 10. Which is the third smallest value? (a) 1 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 529920 and 1326720?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335420531.\nAnswer: 173, 1938847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82227 is divided by 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 403370 by 22.\nAnswer: 18335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + 5*k - 8. Let l(r) = 20*r**2 + 15*r - 23. Let j(z) = 6*l(z) - 17*v(z). Let p(a) = a**3 - 20*a**2 + 39*a - 58. Let m be p(18). Calculate j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4861 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 4, t: 3, z: 1}. What is prob of sequence ttt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + s**2 + s**2 + s**2 + 0*s**2 + 0*s**2 + (-s + 2*s + 0*s)*(3*s + 4*s - 11*s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466 + -124. Let p = m - -591. Is p greater than -9.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204737.35 rounded to the nearest 1000?\nAnswer: 1205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -99. Solve 9 = r*g - 3*s, -2*g + g + 4*s + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3236108 and 55426.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 158802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*(m**15\/m)\/m)\/(((m\/(m*m\/m**0*m))\/m)\/(m*m\/m**11*m)) assuming m is positive.\nAnswer: m**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let g(a) = 4*a**2 - a. Suppose 0 = 99*w + 9*w + 177*w - 2280. What is the lowest common multiple of w and g(m)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509025893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000189 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (762\/(-42) - -5)*(-14)\/4. Let i be (-9912)\/(-108) + 2\/9. What is the greatest common factor of r and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 - -359. Let c be 2\/((-1 + -1)\/(-412)). Let y = v - c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = -20. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = 5*o + 3*c, -110*o + 111*o - 3*c - 98 = 0. What is the smallest common multiple of 1760 and o?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 + 4*b + 4. Let k(v) = v**2 + v + 1. Let g = 439 + -642. Let c = g - -207. What is c*k(w) - i(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/30*y**5 + 0*y + 0*y**3 + 0*y**4 + 0 + y**2. Let s(q) = 2*q. Give s(n(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 11) + (0 - 1) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 37 = -2*i, 79 = 5*i + 2*p. Suppose -3*t + 2*d - 7*d = 37, 4*t = 4*d + 4. Let u be t - -4 - 4\/(-2). Solve 5*k = u - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89 - -41) + (11 + -1 - -9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48c (base 16) in base 2?\nAnswer: -10010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -439\/338?\nAnswer: -439\/338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 12:57 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2788*a. Let u(d) = 41*d. What is -6*j(z) + 410*u(z)?\nAnswer: 82*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -11, 4 in ascending order.\nAnswer: -11, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5608\/6)\/(16\/24). Suppose 3*p - 5*b - z = 0, 2*p - 933 = b + 2*b. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1 (c) 0.3 (d) 0.4 (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -17*j**4\/2 - j**3\/3 + 3*j**2. Let l(x) = -82123*x + 82124*x + 3 - 3. What is k(l(o))?\nAnswer: -204*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i - 37. Let o = 91 - 123. Let r be u(o). What is r rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/56*(5 + (-378)\/90).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.313 plus 4048510?\nAnswer: 4048511.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/(-21) - 2\/3. Let w = 88 - t. Let i be (-28)\/3*w\/(-62). Calculate the highest common factor of 70 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1859538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 2*u - 25 = 0, -17 = d - 5*u. Let v be ((-20)\/15 + 2)*15 + d. Factor -1\/5*y**v - 1\/5*y**4 + 2\/5*y**2 + 0 + 0*y.\nAnswer: -y**2*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v + 4. Let q(t) = -6*t**2 + 15*t - 21. Let h(z) = 2*q(z) + 11*w(z). Let y be h(-4). Is 10 a factor of 1\/y + 82\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/(-4)*(-20)\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11694600072328 + 10.1\nAnswer: 11694600072338.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 20*o + 105. Let j be s(8). Solve 3*g = 3*x - j, 3*x - 3*g - 11 = 2*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2560584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 953 - 13295\/14. Let j = 32 - 172. What is the common denominator of (-142)\/j + (-8)\/(-28) and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22211538850\/65694153 + -2\/3457587. Let l = v + 338. Which is the nearest to -0.1? (a) 1 (b) 0.5 (c) -9 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*n + 2 = 5*i, 16*n + 3*n = 42*n - 20*n + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 29 = -f. Let c = 29 - f. Suppose -6*g + c = -g. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i)\/i**1)\/((i\/(i*i**(2\/3)\/i))\/i)**48*(i*i**(-3))\/i**(-6)*(i\/i**(2\/5)*i)**42 assuming i is positive.\nAnswer: i**(1528\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -238 and 11908?\nAnswer: 12146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, g: 1, j: 5}. Give prob of picking 1 j and 1 g.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-16))\/(33\/12))\/(71\/(-994))\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 + 0.2. Let s = -5.6074 - -5.837465. Let n = s + v. What is n rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -78, -137, -216, -321?\n\"Answer: -z**3 - z**2 - 35*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 12*b + 15*b + 51 = 0, 3*b - 9 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 3*k - k + 10*k in the form s*k + n and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32890 is divided by 6578.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4293187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bppzppzpzcgczdzzz. What is prob of picking 1 d, 1 g, and 2 c?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*x + 3119996 = 8*d, -2*x = 4*d - 4159996. Suppose -d = -19*f + 29*f. Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r**2 - 83*r - 522. Let p(g) = -8*g**2 - 69*g - 521. What is -6*p(x) + 5*t(x)?\nAnswer: -2*x**2 - x + 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22390 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -5*a + k, 2*a + a - 329 = 5*k. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 9*c**2 - 91*c + 4. Let n be j(6). Let z(q) = -q**3 + 6*q**2 - 4*q - 3. Let p be z(5). Let l be 18\/4 + (-1)\/p. Put n, 0, l in decreasing order.\nAnswer: l, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2\/8)\/(4\/272) and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39942216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((20*b + 25*b - 25*b)*(b - b + 2*b**2) - 4*b**3 - 3*b**3 + 3*b**3)*(-8 + 16 + 22) as n + h*b**3 + m*b + o*b**2 and give h.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 110. Let i = g - 50. Suppose 5*o + t - 21 = 0, -4*t + t = 12. Calculate the least common multiple of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrjo when four letters picked without replacement from {h: 2, o: 3, j: 1, x: 1, r: 7}?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3223815 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/67 (b) -87.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 10338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 + 3*s + 5. Give p(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 + 429*n**4 - 2493*n**3 + 3699*n**2.\nAnswer: -3*n**2*(n - 137)*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302360918.\nAnswer: 2, 31, 137, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1487 - -10421\/7. Let s be (-4)\/20 + (-176)\/(-55). Factor -9\/7*b**2 + 6\/7*b**s + c - 12\/7*b + 3\/7*b**4.\nAnswer: 3*(b - 1)**2*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxppwwpwwwwwwwwwxw. What is prob of picking 2 x and 2 p?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -78*l - 404 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:23 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -31*o - 20. Suppose -o*t = -4*u - u + 796010, 0 = -4*u + 8. Round t to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 133 = 3*p, -216*l - 78 = -210*l + 3*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -29*x**2. Let c(o) = 156*o**2 + 92*o + 156. Let w(i) = 2*c(i) + 10*r(i). Factor w(d).\nAnswer: 2*(d + 6)*(11*d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158267.\nAnswer: 101, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 6, e: 2, z: 1}. What is prob of picking 1 y and 2 e?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8628163231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -530 and -12433.4264.\nAnswer: -12963.4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 28 = -3*u, -4*a = -u - 22 - 14. Suppose -a*b + 6*b = 4. Let d = b - -21. Calculate the highest common factor of 133 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826688435?\nAnswer: 5, 53, 887, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003755 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8 - 3*r**3 + 11 - r - 4. Let j be ((-2)\/4)\/((-1)\/(-2)). Determine d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 - w + 2. Let i be o(-2). Let g = 4 + i. Suppose -n = -g*k - 16, 0*k + 7 = n - k. Solve -u + 5*h + 25 = 0, 2*u + n*h = -u - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (37\/2)\/(2\/4). Suppose -t + 24 = y, -2*t + 4*y + j = -41. Let r(m) = 2*m**2 + m + 10. Calculate the remainder when t is divided by r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 1274, 1911, 2548?\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.457 and -81245?\nAnswer: 81244.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yslh when four letters picked without replacement from {s: 3, h: 1, l: 10, v: 3, y: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*x - 14, 2*x + 1 + 9 = 4*u. Suppose 2*w - 2 = -r, -2*w + 8 = 4*r + u*w. Suppose -o - 2*o - 157 = -2*a, 0 = r*o + 6. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a - c + 21, -5*c + 73 = 3*a. What is the least common multiple of a and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.126 + 8.426. Let s = -8 + j. Which is the third smallest value? (a) -2\/11 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 260 = 27*k. Suppose 121 = -4*v + 1317. Calculate the greatest common factor of k and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p*p**(-1\/9))**(-36)\/((p**0*p*p**7)\/(p*p\/((p**(-2)*p)\/p*p)*p**7\/p)) assuming p is positive.\nAnswer: p**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p, -9 = 3*b + 2*p - 5*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1242 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpa when three letters picked without replacement from xxyxxxmypaxppymxaa?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -140, 0.8, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let r be (-1 - t) + 2\/(-1). Suppose 4 = -4*m - 0*m. Is m at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 18. Let a(t) = 2*t - 10. Calculate -5*a(v) - 3*x(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*i - 122*i. Solve 2 + i = 2*v + d, 0 = -d + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 215*h - 218*h + 6075, -4*h - 8068 = -4*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3720.674 nanometers?\nAnswer: 0.003720674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3\/5*s**2 - 3\/10*s**4 - 2\/15*s**3 + 72 + 4\/5*s - 2\/25*s**5. Let g(k) = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 43, 102, 225, 436?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + -1 + 131 + -122 - 5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29733 is divided by 338.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2 + 9163. Let n(f) = f**3 - 7*f**2 - 6*f - 11. Let t be n(8). Let d(k) = 24*k + t - 5. Calculate m(d(o)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p. Suppose 4*o - b = -1, 2*b - 1 = o + 1. Suppose 3*u - 4*z + 0*z - 18 = o, -5*z = 15. Let w(f) = f - u*f**2 + 4*f - 5*f. Give w(l(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 154*f - 138. Let t be u(4). Let v = t - 544. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -79. Suppose y*x - 177 = -161. Solve -x*d + 12 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.122 and -239.\nAnswer: -238.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + (sqrt(27) - (sqrt(27) + sqrt(189)\/sqrt(567))))*-2)\/((sqrt(9)*-5*5 - sqrt(9))*6).\nAnswer: 4*sqrt(3)\/351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 2*r**5\/55 - r**4\/22 - 79. Factor c(l).\nAnswer: 2*l**3*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101101 - 111101101011?\nAnswer: -110111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15507 + 2467 = 38*c. What is the remainder when c is divided by 152?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 612441.8ng?\nAnswer: 612.4418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2\/2 + 6*b + 35. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -103.24641825857.\nAnswer: -101.24641825857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.1 (c) -35 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o - 21. Let l(s) = -7*s - 11. Let d(h) = 9*l(h) - 4*r(h). Let f be d(-2). Let p(m) = -2 + 0*m + 4 - 3 + 10*m. Determine p(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:07 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, q: 1, x: 2}. Give prob of picking 1 l and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6*2736\/(-81))\/((-4)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6957666 and 1845.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 14 = 7*k. Solve 3*d - 2*x = 3 + 13, k = d - 4*x - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**2 - 6266*w - 77208. Calculate m(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = -28. Is 5 a factor of r\/(-1) + (-6)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 178*j**2 - 34*j + 380. List the prime factors of b(18).\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -a5c0849?\nAnswer: -a5c084a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 113 = 5*p + 97, -20 = 4*b - 3*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85, -20, -199, -458, -803, -1240, -1775?\n\"Answer: -l**3 - 31*l**2 - 5*l + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 739845 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i - 442. Give l(33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 0*y**4 - 4*y**4 + (y - 3*y + 0*y)*(6*y**3 - 2*y**3 + y**3) + (2*y**2 - 9*y**2 + 0*y**2)*(1 - y**2 - 1).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 1 - 1)*(-1 + 1 + 1) - b**2 + 2*b - 5*b + 2*b + 22*b**2 + 593*b - 1229*b + 602*b.\nAnswer: 19*b**2 - 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1131896*c**4 - 3*c**3 + 7451218*c?\nAnswer: -13582752*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 - j + 5. Let w be u(0). Which is the closest to 3? (a) -3 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2237 + 2239. Let m(g) be the second derivative of -5\/9*g**3 - 25\/6*g**2 + 0 + a*g - 1\/36*g**4. Factor m(b).\nAnswer: -(b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 87. Suppose -3*v - 1478 = -s - 4*s, -587 = -2*s - o*v. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, c: 1, y: 2, q: 3, x: 3}. What is prob of picking 1 c and 2 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - (-3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21910 is divided by 126?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/9)\/c**(-5) assuming c is positive.\nAnswer: c**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 + 2420*h + 13*h**2 - 1458*h**3 - 2418*h to the form t*h**2 + i*h**3 + p + b*h and give i.\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -22. Suppose 0 = -7*o + 2*o + 25. Let b = q - o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 8252*z**2\/3 + 16522*z - 24792.\nAnswer: -2*(z - 3)**2*(z + 4132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 1\/4 (c) 0.5 (d) 28 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 - 10*x**2 - 97*x**2 + 66*x**3 + 107*x**2 + 50*x**3.\nAnswer: 89*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 282.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccucuucuccuu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 - 4*m - 3. Let i be j(-1). Factor 5 + 4*q - i + 8*q**2 + 43*q**4 - 45*q**4 - 4*q**3.\nAnswer: -2*(q - 1)**2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 2. Let s be z(5). Let p = 8.13 - 3.13. Which is the nearest to 2\/3? (a) p (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r**3 - 138*r**2 - 6*r + 18. Determine g(-7).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2376.76 and -1.\nAnswer: -2376.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times -41067.4\nAnswer: 11909.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(405) + -1 + -2)**2 + sqrt(405) + -2*sqrt(405)*6 - (-4 + 2 + sqrt(405)*3 + sqrt(405))**2).\nAnswer: -36420 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 2. Let z be m(5). Suppose 31 - 1 = 3*h. Let y = h - 2. Solve -3*x - z = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + -1) - (-43 - -38).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 3:11 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 8*y + 10. Let c be a(-9). Let t = 0.17 - 18.17. Let w = t - -18.3. Sort 2\/5, c, w in increasing order.\nAnswer: w, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 7. Let i be n(6). Let r = 105 - 81. Suppose -6*b - 6*b + r = 0. Solve i = x - b*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*q = 350*q - 4*a + 10, 2*a = 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*o - 1, 5 = 5*h - 5*o + 20. Let n be 0\/h - (-1 + 1). Solve -5*l = -4*t + 27, -2*l + t - 9 = -n*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4058 - 4058 + 461*l**2)*(0*l + 2*l + 0*l).\nAnswer: 922*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 7*i + 3. Let x(f) = -f**2 + 16. Let l(a) = a**2 - 15. Let q(k) = 4*l(k) + 5*x(k). Let j be q(-5). Calculate v(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854695.1 kilograms in grams?\nAnswer: 854695100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*m**2 + 49*m**2 - 649*m**2 - 2.\nAnswer: -998*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2768, 5964, 9160, 12356, 15552, 18748?\nAnswer: 21944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26788*j - 106701. Give u(4).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -38*o + 1377. What are the prime factors of h(-48)?\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.97 + -6. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**3 - r**2 - 4*r + 1. Let j be g(2). What is the greatest common factor of 185 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 22*o**2 + 16*o - 20. Let v be h(11). Suppose -v - 99 = -17*l. Solve 3*j + l = -5*i, 9 + 6 = -4*j - 5*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, -78, -8.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-3 - x + 3) - 4*x - 10*x + x)*(3 - 2*x - 3)*(4 - 1 - 2).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/80)\/(3\/(-24)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 226 = -4*p. Let c(u) = -u**2 + 11*u + 4. Let t be c(p). Solve -t*y = -3 - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-21)\/(252\/96).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 3, 2, 1, 664, 9 in increasing order.\nAnswer: -4, 1, 2, 3, 6, 9, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1900)*-1 + 0)*-1 - (sqrt(1900)*1 + -1 - (sqrt(1900) + -4*(0 + sqrt(1900) - sqrt(1900)) + sqrt(1900))))**2.\nAnswer: 40*sqrt(19) + 7599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -632, -634, -636, -638, -640, -642?\n\"Answer: -2*s - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, -4881?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let t(y) = -2*y - 2. Let w = -66 + 60. Give w*m(h) + 3*t(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2703696 and 2976.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + -236 + 252.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 57 in descending order.\nAnswer: 57, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28481346350\/4059 - 7016838. Let r = a + -2\/1353. What is the closest to r in 6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-7 - (-9 - (-4 - -2))) + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 227492.79 hours in weeks?\nAnswer: 1354.12375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 459 - b?\nAnswer: 44e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 18, 2, 44.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:08 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 52*j**2 + 0*j**3 + 0 + 1\/60*j**5 + 0*j + 0*j**4. Let o(u) be the third derivative of u**5\/20 + 2*u**2. Give r(o(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.071 + -14. Let z = -3.071 + l. Which is the closest to -2\/3? (a) 5\/8 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 5701763 + 374883 - 6372097 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*6\/(9\/6 + -3). Suppose q*t - 5*t = -5. Solve 6*j - t*j = -2, -5*c = -5*j - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156030*m**3*r + 2*m**3 - 20*m - 7 wrt r.\nAnswer: -156030*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/8)\/z*z)*z**(-3))\/((z**(-4)*z)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 13\/3, -5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3200554443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 22878775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63117705 and 3464.\nAnswer: 63121169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*f + 14. Let v = 8292 - 8282. What is the least common multiple of f and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9*(-702)\/364)\/(21\/14).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, 1 r, and 1 e when four letters picked without replacement from {e: 1, w: 1, z: 1, m: 2, x: 2, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11202333?\nAnswer: -11202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36570 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014866199899 to seven dps.\nAnswer: 0.0148662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.5 - 288.69.\nAnswer: -358.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100101001101100001000 (base 2) in base 14?\nAnswer: dd7252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r + 2*r - r)*(2*r**2 - 3*r**2 + 2*r**2) + 11*r**2 - 11*r**2 + 46*r**3 as n + s*r + p*r**3 + b*r**2 and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56752.2 years in months?\nAnswer: 681026.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let n(a) = 4*a + 1. Give 2*d(z) - n(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-39))\/((6\/16)\/((-1224)\/6528)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 74*n**4\/15 - 11*n**3\/15 - 12*n**2\/5 - 2049*n. What is y in v(y) = 0?\nAnswer: -1\/4, 12\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 83?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3612737 by 6.\nAnswer: 3612737\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/2 - 1\/2. Suppose 3*j = -t - 6 + 40, -t - 5*j = -36. Calculate the remainder when t is divided by (v\/(-4))\/(6\/(-64)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(4)\/sqrt(2) + -2).\nAnswer: -7 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22166923, 22166922, 22166921, 22166920?\n\"Answer: -s + 22166924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -88, -89, -100, -127, -176, -253?\n\"Answer: -p**3 + 4*p**2 - 2*p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -6 - (-6 + 2). Let p(a) = 11*a**2 - z*a**2 - 5*a**2. Let d(q) = 2*q - 4*q - 2*q. Calculate d(p(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131314384 divided by 16414298.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g - 162. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3575 and 10725.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.9 rounded to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 14*o + 4. Determine y(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 373 = 373 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*x + 6*y + 76, 5*x + 2*y = -68. Let j(i) = 69*i - 50. Let w(h) = -34*h + 25. Let o(f) = -4*j(f) - 7*w(f). Is o(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 6*n + 10. Let o be x(-4). Suppose 2*c = o + 2, 2*c = -p + 407. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b + 4*b - 52, -6 = -3*b. Let i be (-8)\/(-6) + (-1)\/3. Let f(o) = 43*o**2 + 2*o - 1. What is the remainder when f(i) is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.3, -8, -0.1, 0.5 in descending order.\nAnswer: 0.5, 0.3, -0.02, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(832) + -2)**2 + (sqrt(78)\/(sqrt(24) - sqrt(6)))**2*3.\nAnswer: 32*sqrt(13) + 877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 609.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000072777647 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*x, 2*x = -2*q + 4*x + 270. Let v = q - -99. Calculate the highest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 22*g - 27*g + 48*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 - 5*q + 12. Let y be h(-6). Differentiate -1 - y*c**2 + 46*c - 46*c with respect to c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (306\/135)\/(2\/(-3)) - -3. What is the nearest to -3 in a, 1\/8, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54245731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 3*r**5 + r**5 + (-r**2 + 0*r**2 + 0*r**2)*(-4*r**3 + r - r) - 6*r**5 + 4*r**5 + 3*r**5.\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -614619 - 1493695. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2750, -2772, -2816, -2888, -2994, -3140, -3332?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/24 - (-1 + 3\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -4*b - 15*v + 109, -5*v = -2*b + 77. Suppose 2*p + 93 = 3*p + w, 178 = 2*p - 2*w. Calculate the remainder when p is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.9 + 36. Let r = -2 - g. Let s be 0\/(-1) + (-4 - (-138)\/33). Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565759045 and 1110?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-3)\/(-6) - 1). Suppose 0 = -g*c - 3*c - b - 26, -b = c + 10. Is 4 a factor of (c - 1)\/(42\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.3 and 5552243.\nAnswer: 96053803.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d + 10. Suppose -4*a = 2 + 2. Let u be a + (1 - 3\/1). Is u greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from oaacaaaaaoaacn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2744) + sqrt(2744)*1)*1 + sqrt(2744))*-3)\/(3*(-1*sqrt(512))\/sqrt(4)).\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214.48 + 244. Let j = -29 + q. What is j rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose d*z + 229 = 3*z + 5*a, 0 = 5*z + 3*a - 403. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -29*l**2 - 13\/12*l**4 + 0*l + 0 - 11\/3*l**3. Differentiate y(u) with respect to u.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 + -14 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4\/17, 1, -0.4, -2\/13 in ascending order.\nAnswer: -0.4, -4\/17, -2\/13, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313\/3 - -311\/3. Let r(h) = h**3 - 7*h**2 + 6*h. Let x be r(6). What is the closest to x in -3, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/14, 0.09, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1326*l + 1326*l + 2*l**2 - 189*l**2.\nAnswer: -187*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371501203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/9*(-12)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -42.951. Let y = 3.11 - 3.17. Let b = q - y. Round b to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-8))\/(2 + -1). Let v = -0.12 - -0.62. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, i: 8, s: 5, o: 2}. Give prob of picking 1 a and 2 o.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/4 + (4 - 2). What is the closest to 0.1 in -0.04, -1\/6, n?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 15}. What is prob of sequence lggl?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + -2 + (-85 + 180 - 55)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -371607458, -743214917, -1114822376, -1486429835, -1858037294, -2229644753?\n\"Answer: -371607459*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -25*a - 15*a. Let w = 115.04 + -115. What is the second biggest value in -0.3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 9 + 6)*(-h - h + h) - 37*h + 5*h - 132*h to x + p*h and give p.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056187 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (7 - -2) + -8 + (-19 - (-8 + 11))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8 = 3*n, 4*a + 35 - 46 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363) + sqrt(33)\/(sqrt(44)\/sqrt(4)))**2 + 2.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Let y = 390.8 - 390.7. What is the closest to 0.4 in y, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 13*q**2 - 4*q + 86. Give a(-13).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 688, -1322, -4682, -9392?\n\"Answer: -675*f**2 + 15*f + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*g + 42, 514*g - 510*g = 5*z + 123 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/198797 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 409373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/20)\/19*(-30)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/5 + 53*s**3\/5 + 43*s**2 - 7793*s\/5 + 7524\/5 = 0. Calculate s.\nAnswer: -44, -19, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.27 less than 2.6?\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1646.49 - 1587. Let r = -59 + j. Let b = 0.48973 - r. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 + -2 + 670 + (-1 - 3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = -a, -3*a - 2*z + 7*z - 37 = 0. Let s be (2 - (a + 0))*2. Solve -x + 5*q + 11 + 13 = 0, 0 = -2*x - 5*q - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxboxc. What is prob of picking 1 w, 1 x, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005962233 rounded to 7 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + k + 37 = 0, 2*s - 1459*k + 1455*k = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 17*f + 10. Let b(v) = -3*v - 9. Let q be b(-8). Let k = 248 - 220. Calculate the smallest common multiple of k and s(q).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95.947 + 96. Let r = y + -0.05267. What is r rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.92724l to millilitres.\nAnswer: 29927.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b - -9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 - 3525\/11. Factor -i*y - 4\/11 + 4\/11*y**2.\nAnswer: 2*(y - 2)*(2*y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from {g: 2, r: 3, a: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -4\/331 (c) -22 (d) 0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2670 + 2668. What is the third smallest value in x, -1, -14.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(400) + sqrt(400)) - sqrt(400))\/(5*sqrt(968))*2.\nAnswer: -32*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103739 * 0.3.\nAnswer: 31121.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 31.24209 decades?\nAnswer: 0.3124209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*x - 6 = -211*x - 5*i, 0 = 2*i + 2. Suppose a + 32 = 5*h, -2*h + a = -h - 4. Calculate the smallest common multiple of h and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 30. Let v(j) = 174*j + 37. What is b(v(a))?\nAnswer: -348*a - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c2 (base 14) in base 16?\nAnswer: -1ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 573*o**2 + 2*o - 570*o**2 - 1 + 1139*o**2 - 3*o**3 as n*o**3 + u + q*o + d*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Let o(a) = a**3 - 2*a**2 + 2*a + 4. Is 19 a factor of o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 6. List the prime factors of d(-17).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 1548?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 347, 501, 655, 809?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u - 2. Give y(-7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -158.5 (b) 8\/3 (c) -1228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 636 + -639.01. Let y = q + 0.01. Let n = -2926 - -2922. Which is the fourth smallest value? (a) n (b) 0.2 (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 12. Let v = -1350 + 1358. Give b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 14*d + 0 - 1\/3*d**3 - 1\/6*d**4 - 1\/10*d**5 - 1\/2*d**2. Suppose 4*c - 21 = 3*k + 2*k, k + c = 3. Give q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14494, 28985, 43476, 57967, 72458?\n\"Answer: 14491*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzozzyzoyzzzyzyy. Give prob of picking 2 z.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 5, s: 2, h: 2, f: 1, p: 5}. Give prob of picking 1 s, 1 a, and 1 h.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 - p. Let f be o(-6). Let g(y) be the third derivative of -1\/8*y**4 + 1\/6*y**3 + 0 + 15*y**2 + 0*y. Calculate g(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1524 - 55. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71186 from 2.\nAnswer: -71184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and (-64)\/(-56)*(2 - 62\/(-4))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppwpppppwwp. What is prob of picking 1 p and 3 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5339 - -5773. Calculate the lowest common multiple of 28 and u.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 y when four letters picked without replacement from {j: 5, e: 1, v: 1, y: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60160, 120321, 180482, 240643, 300804, 360965?\nAnswer: 421126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 4)*8\/(-6). Let r be m\/(-1)*(-30)\/12. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6575126 divided by 23.\nAnswer: 6575126\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 522 + 328 - r**3 + 174 - 3*r**4 in the form y*r**4 + d*r + a*r**3 + v*r**2 + j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/120 - y**5\/60 - y**4\/12 - 82*y**3\/3 - 16*y**2. Let s be j(0). Let a = s + 305. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 10*g - 8 + 2 + 6.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305116164?\nAnswer: 2, 3, 1277, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 18. What are the prime factors of 1467\/27 - v\/6?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133134 is divided by 7395?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9997 - -4538641\/454. Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**(-34))**(-1\/2)*(w**3\/((w\/((w\/w**(-8)*w)\/w))\/w))**(-11\/3) assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:41 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -238523610 divided by 65\nAnswer: -3669594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 123*z - 127*z - 55, 0 = 2*x - 2*z + 32 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31669 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.943 and -424522.\nAnswer: -824846.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19278 divided by 278\nAnswer: 9639\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/4, 0.8, -0.063, -5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 7. Let o be (-45)\/(-12) + 15\/(-20). Let a be q(o). Let t(z) = 2*z**2 - 6*z + 6. Give t(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrccrj. What is prob of sequence cj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/13 or 41677?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29811.7164 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/3 + 65344192*c + 1601198785549824 = 0 for c.\nAnswer: -49008144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-8) - 2\/(-8). Let x(l) = 16*l**2. What is the tens digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Suppose 4*d - 138 = -v. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, i: 3}. What is prob of sequence aiai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let c(o) = 285*o**2 - 3. Calculate c(q(n)).\nAnswer: 285*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196625.189 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let b be ((-36)\/8)\/((-2)\/j). Calculate the highest common divisor of b and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 45 = 4*b, -2*b + 3*t = -13 + 38 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 7875.\nAnswer: 102375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.518*119.5.\nAnswer: 5319.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/72 + 5*v**5\/12 + 15*v**4\/8 - 11*v**3 + 82. Let k(y) be the third derivative of n(y). Solve k(l) = 0 for l.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 + 3*a**2)*(-3*a**3 + 8*a**3 + a**3)*(-2 + 4 - 1).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025022 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64, -7, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 9. Calculate the common denominator of k\/40 - 318\/(-160) and -5\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21138 + 35083. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -110?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - j - 1436 - 1302, 0 = 5*j + 25. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let q(v) = 5 + 4*v**3 - 5*v**h - 3 - 5*v - 7*v**2. Let k be q(-7). Solve 5*s + k = g - 5*g, -2*g = s + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202343110 (base 5) to base 13.\nAnswer: 22b548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -0.3, -2\/3, -1.77 in decreasing order.\nAnswer: 1, -0.3, -2\/3, -1.77, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 146821382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 443145*j + 696135560.\nAnswer: -5*(j - 1544)*(j + 90173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 1411, 2116, 2821?\nAnswer: 3526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - 48943*i + 50098*i as t*i + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13017.211 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k**2 - 1487*k - 2976. Give l(57).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 31 + ((-27)\/(-12))\/(8\/(-32))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1386502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.3, -0.3, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 61 = -28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y + 3\/2*y**2 + 0*y**3 + 1\/24*y**4 + 1. Let o(s) be the second derivative of x(s). Let n(b) = b. Give n(o(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -14, -58, -132, -242?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6039*n - 6039*n - 412*n**2)*(5*n**2 - 3*n**2 + 0*n**2) to the form k*n + f*n**2 + a*n**4 + q + t*n**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/60 + u**4\/8 - 8*u**2. What is the second derivative of x(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*-2*(-30)\/(-80)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.2, 1, -7, 13, -15 in descending order.\nAnswer: 13, 1, -0.2, -2\/5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -886107\/80 - -11077. What is the common denominator of h and 74\/(-185)*(-110)\/(-32)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and -93\/13038950.\nAnswer: 26077900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1, -0.2, -3\/43?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -8. Let g = -289 - -286. Which is the nearest to h? (a) 0.4 (b) -7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l\/l**4)))\/l**5*(l\/l**(-1\/8))\/((l*(l*(l\/(l*l**12\/l))\/l)\/l)\/l))**12)**(-2) assuming l is positive.\nAnswer: l**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1692*v**2 + 18 + v**3 - 823*v**2 + 53*v - 841*v**2. Let o be i(-26). Let u(b) = -b**2 - 10*b - 12. Determine u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*l - 37*l - 30*l**3 - 6 - 39*l + 5 - 33*l to o + k*l**3 + s*l + t*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-10)*l)\/l*l**(-6\/11)*l*l*(l\/l**(-3\/8))**37)**(-35))**(6\/11) assuming l is positive.\nAnswer: l**(-391125\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52196982 + 11.92.\nAnswer: -52196970.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 4\/7 in increasing order.\nAnswer: -0.3, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**5*l*((l*l\/l**(-3)*l*l)\/l)\/l*l**5\/l**1 assuming l is positive.\nAnswer: l**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-9)\/2 + 4). Suppose u*b - b = 0. Suppose -h + b*h - 54 = -3*x, h = -3*x + 60. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418 is divided by 791?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 182*u - 3976. Calculate m(22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t + 21. Let f be -50*(372\/120)\/(-31). Give j(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0324.\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 - -44553?\nAnswer: 44518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300*h**3 - 2801*h.\nAnswer: 1800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250870 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4 + sqrt(19) + 2 - sqrt(19)) + -3 + (6*sqrt(209)*2)\/sqrt(11)))**2.\nAnswer: -1080*sqrt(19) + 24849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*a + 0*a + 4*a)*(6*a**2 + 26*a - 26*a).\nAnswer: 6*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*h - 72*h + 28861. What is the remainder when h is divided by 151?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2144 - -1819. Are -1\/3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43170\/((6*30\/(-160))\/60). What is f rounded to the nearest 10000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.3513 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2220 + 3343?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 5. Let z = w + 10. Solve z = -3*y + 5*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)\/i*i)\/(((i**(-2\/3)*i)\/i)\/i)*(i\/i**(-6)*i)\/(i*i\/(i*(i*i\/(i*i**0*i))\/i))*(i*i**(-5\/3)*i**(1\/11))**(3\/8) assuming i is positive.\nAnswer: i**(9571\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w - 3*w + 2 - w - 2 + (0 + 0 - 2*w)*(2 + 2 - 6))*(-w**3 + 3 - 3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) 4\/3 (c) 0.012 (d) 0.08 (e) 0.037 (f) -0.5 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835787 is divided by 4137.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(100)\/sqrt(2) - 1*sqrt(2450)))\/(sqrt(810)*2*-3 - -2*2*sqrt(810)).\nAnswer: 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92430 at least 92432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 7:12 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37ab4 - 18?\nAnswer: 37a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 + ((-23055)\/1102)\/53.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2 + 1. Let b be -3*((-28)\/12 - -2). Determine n(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 + r**2 - 1. Let g be p(1). Let s = g + 0. List the prime factors of -1*(-13 - (-3 + s)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 10 + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1318 + 2356. Suppose -q - 137 = -2*c - m, 3*c = -4*q + 3560. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 3*t**4 - 6*t + t**4 + 4*t + 2*t**3 in the form y*t**3 + x + i*t + j*t**4 + r*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -520474.002 + -0.05477\nAnswer: -520474.05677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9527 - 9886 - 9882 + o**2 + 39173 - 9878.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 429197090.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -28, 61, 186, 347, 544, 777?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1139 + 1785 = -5*b, b = -a + 1469. List the prime factors of a.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1090260646 to the nearest integer?\nAnswer: 33019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a + 0*a**2 + 1\/6*a**4 + 0 + 0*a**3. Let i(p) be the first derivative of -p**2\/2 + 1. Calculate v(i(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*m - 92*m + 6 = 0. Let v be (m\/18)\/(75\/(-36) - -2). Let h(a) = 2*a**3 + 2*a**3 - 3*a**3 - 6 + 6*a + 5*a**2 + 10. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h + 1. Let o be g(1). Suppose -p + 2 = o, -3*p + 43 = 3*m - 11. Let q = 19 - m. Solve -3*t - q - 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001064075974 rounded to six dps?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211967 is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 917154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 - 2*f**3 - 2*f**2 - f + 5. Let o be (-14700)\/(-3750) + 1 + 23\/(-25) - 9. Determine a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17719091107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 195275.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 29*t - 2. Let q(c) = -2*c**2 + 16*c + 1. Calculate 7*q(u) + 4*s(u).\nAnswer: -2*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-12080)\/(-28992)*3\/(15\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(40\/(-34))*((-374)\/2992)\/((-3)\/20).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13213, 53206, 119859, 213172?\nAnswer: 333145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(2 - 967\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6\/13, 2\/5 in ascending order.\nAnswer: 2\/5, 6\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -4, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -40. What is the remainder when 0 - ((-40)\/(-6))\/((-3)\/27) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 5*k)*(-3 + 2 - 7)*(-2*k + 3 - 6 + 3*k)*(0 + 1 + 1).\nAnswer: 32*k**2 - 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2166 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - q\/2 + 3\/4.\nAnswer: -(q - 1)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -61. Suppose 3*j - 8 + 0 = b, -2*j = -4*b + 18. What is the second derivative of -b*s**3 + 7*s**z + 15*s**4 + 0*s**3 - 16*s wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*u, 4*d - u = 4*u + 45. Sort -4, d, 3 in descending order.\nAnswer: d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 - 302. Suppose -4*b + 257 = -q. What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2124926 and -11\/62.\nAnswer: 2124926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 4. Let q be f(-2). What is the second derivative of -2*n + q*n**2 + 6*n + n + n wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2))\/f)\/(f\/(f*f**(-1\/4)))*(f\/((f*f\/(f\/f**0))\/f))**(2\/7)*(f\/f**(1\/4))**(6\/11)*f**(-3)\/(f\/(f\/(f**6\/f))) assuming f is positive.\nAnswer: f**(-1711\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) + (sqrt(2499) + sqrt(2499)*3)*-5)\/(sqrt(48) + sqrt(2352)*2)*1.\nAnswer: -133*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - x - 1. Let c(k) = 15*k**3 - 34*k**2 + 29*k - 16. Suppose -4*i = 4*u - 8, 3*u - 3*i = 2*u - 10. Let j(o) = u*c(o) + 6*q(o). Factor j(d).\nAnswer: -5*(d - 1)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**8\/84 - 9*h**5\/20 - h**4\/12 + 965*h**3\/6 - 2*h**2 + 177*h. What is the second derivative of m(b) wrt b?\nAnswer: -80*b**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4683 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 39*j**2 + 122*j + 107. Determine o(22).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4423 + 5571*k**2 + 2251 + 2172 + (-6*k + k + 3*k)*(0*k - 3*k + 2*k) in the form a*k + q*k**2 + v and give q.\nAnswer: 5573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqkiqfkq. Give prob of sequence qiqt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53\/3 in 4\/141, -3\/5, 0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*3*1)\/(2*sqrt(1100)*4).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 7. Let l = 79 - t. Let n = l - -35. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e0 (base 15) in base 8?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -0.3. Let h = -0.8 + t. What is the nearest to h in 5, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 52*g - 100. Determine c(-47).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 8. Let z be (-1)\/(1\/(-4)) + 7. Let k = z - 6. Sort 3, k, q in decreasing order.\nAnswer: k, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21411 - -3?\nAnswer: 21414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 144. Let z = n - 20. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45938073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 28 - 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 - -560. Suppose -43 = -i*z - 63. Sort z, 5, 1, -4.\nAnswer: z, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 87 = -3*z, z - y - 310 = -283. What is the remainder when 208 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35013 by 11671.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 42 = 0, -3*n + 0*f + 2*f + 35 = -3*f. Suppose 3\/8*o**5 + 0 - 57\/8*o**3 + 15\/4*o**2 + n*o + 3*o**4 = 0. What is o?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1320)\/1848*56\/(-16).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142, 306, 484, 682, 906?\n\"Answer: g**3 + g**2 + 154*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -46*f + 3. Let t = -663 - -662. Give x(t).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -36a?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*6)**2 - (0 + sqrt(363)).\nAnswer: -11*sqrt(3) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 553 - 344. What is the remainder when (f + 3)*2\/8 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5163 + 12831. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -182*y + 1103. What is l(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302201 or 0.64?\nAnswer: 302201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007762906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/28*(-16)\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24320 by -190.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 14. Give y(18).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 + 394 = -9*b. Let c = b - -58. What is the remainder when 6 is divided by (c\/(-2))\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103.34 and 42?\nAnswer: -4340.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) - (-98 - -98)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + -5*(-1*sqrt(102) + sqrt(102)))\/(sqrt(12)\/sqrt(8) - sqrt(6)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 26*d + 26*d - 54*d + (-1 + 1 + 1)*(0 + 0 - 2*d) + 1 - d - 1 - 2*d - d + 2*d.\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*u + 12. Suppose n + 3 = 0, -n + 3*n = 3*z - 18. Let i(h) = -z*h - 5*h**2 - 1 + u + 0*h**2 - h**3. Calculate i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = -8. Suppose o*i - 15*i = -4431. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 34*p - 3. Let i(y) = 5 + 7 + 6 - 19 + 13*y - 2*y. What is 17*i(d) - 6*n(d)?\nAnswer: -17*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 + s**3 - s**3 + 3*s**3 - 129*s**2.\nAnswer: 3*s**3 - 104*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 288 in 3\/4, 12, 1\/8, 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780708 and 204?\nAnswer: 780708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 8*v - 4. Calculate g(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 28 (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -52510?\nAnswer: 157530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 155*k + 156*k = 3, 5*k - 15 = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 135*o - 370 = 131*o, 0 = 5*k + o + 980. What are the prime factors of (180882\/k)\/(9\/(-15))?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1374933 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/5 + (-2 - (-12)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21753, 43493, 65233, 86973, 108713?\n\"Answer: 21740*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -8.6 (b) 0.4 (c) -1 (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u*x**2 - 2450*u + x**2 + x - 439 wrt u?\nAnswer: -x**2 - 2450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 5*l**2 + 4*l + 1. Let y be s(4). Let q = -0.14611 - -0.27611. Which is the third smallest value? (a) y (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/24 - 11*a**3\/2 - 18*a**2 + 5*a. Give g(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 5*y. Let g(c) = -6*c**2 - 16*c - 1. Give -2*g(n) + 7*l(n).\nAnswer: -2*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33557\/2 - 16777. What is the nearest to 0.1 in 7, 1\/25, -1, f?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2. Let i(h) = -30*h**2. Calculate i(w(d)).\nAnswer: -1470*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462145 divided by -92429?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + 11?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*r + 166*r + 25 = -172*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w. Let z(y) = -26*y - 85. Let f(s) = 7. Let m(l) = 22*f(l) + 2*z(l). Let a(x) = -17*x - 6. Let q(p) = -8*a(p) + 3*m(p). Give g(q(i)).\nAnswer: -100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/5928?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 85.4 (c) -1 (d) 3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9445 times -0.4?\nAnswer: -3778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/9 + 26290024\/1224?\nAnswer: 47, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1\/252*g**8 - 1\/90*g**7 - 1\/180*g**6 + 36*g**2 + 0*g + 0*g**4 + 0*g**3 + 0 + 1\/180*g**5. Determine x, given that n(x) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 4*a = -83, -4*a = 5*z - 181. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 33?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7709, -7704, -7701, -7700, -7701?\n\"Answer: -q**2 + 8*q - 7716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*i**2 + 1 + 536*i**4 + 222*i**4 + 70*i**2 to l*i**2 + w*i + o*i**4 + t + n*i**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 + 10*s. Let l(p) = -10*p**2 + 9*p. Give 4*l(g) - 3*n(g).\nAnswer: -16*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 45*p + 459. Let x be m(-32). Calculate the highest common factor of x and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 9 - 6 - 2 + 8. Calculate g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 2, 74, -0.4, 0.01, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5140 (base 7) in base 3?\nAnswer: -2110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + c - 1. Let o(q) = 311*q**3 + 10*q**2 - 40*q - 8. Let b(a) = o(a) - 5*p(a). What is the second derivative of b(g) wrt g?\nAnswer: 1866*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**2 - 98*k - 408. Let a(x) = 5*x**2 - 32*x - 136. Let g(p) = 20*a(p) - 6*d(p). Factor g(j).\nAnswer: 4*(j - 17)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*f + 23*f + 380 = 0. What is the least common multiple of 8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10 - (-21 + 5434\/260).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + (-3 - -232). Suppose s - 937 = -4*q. Suppose -18 + q = 3*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 + 0.19. Which is the nearest to i? (a) 4 (b) 0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20374*j**3 + 116*j**2 - 2*j + 41.\nAnswer: -122244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xxvnpxpppvx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2530 = -5*n + 5*z, 253*n + 4*z = 251*n + 1000. Is n a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11548654*u**2 - 13342485*u wrt u.\nAnswer: 23097308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.02 (c) -208 (d) 832\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.427224356022+0.2\nAnswer: 0.627224356022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/4 (b) 21 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 3*m + (-m + 6*m - 2*m)*(0 - 1 - 1) - m - 7*m + 3*m)*(-3*m + 0*m + m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1)\/y*y)**(-2\/49)\/(y\/((y*y\/y**(-4)*y)\/y)*(y**(-2\/5)\/y)\/y))**(-3\/22))**(4\/19) assuming y is positive.\nAnswer: y**(-222\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412660.\nAnswer: 2, 5, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 1 - 2)*(7 - 7 - 4*v**5).\nAnswer: 52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(-144)\/(-192) + (-2871)\/(-96).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyss when four letters picked without replacement from {s: 3, q: 6, y: 2, d: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/59, 0, -3, 0.15, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286.96, -3\/8, 0.4.\nAnswer: -286.96, -3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.43695 + 0.13695. Which is greater: -26 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6620828, 13241639, 19862428, 26483183, 33103892, 39724543?\nAnswer: 46345124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f = 138*f + 112 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 5*n - 9. Let l be k(-7). Let x = -827\/11 + l. Which is the second smallest value? (a) 1 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 79 + 113. Let t be (v\/(-3))\/((-8)\/276). Let a = 119 + t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3115\/4 (b) 4 (c) -4 (d) -3.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314468991*y + 250692739 wrt y.\nAnswer: -314468991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w - 4. Let i = 1 - w. Is 2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*l + 4. Solve -2*t - 12 = -0*o + 5*o, 3 = -l*o + t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3))\/(r*r**25\/r) assuming r is positive.\nAnswer: r**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + (-7 - -23). Suppose -3*h - 4*b - 10 = 0, -2*h + 2*b = 3*b. Solve 0*z = 2*z + 5*k + p, 2*z + h*k = -10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 846384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 9. Let a(i) = -66*i + 117. What is -2*a(w) - 27*q(w)?\nAnswer: -3*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-5) - 572\/(-780).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592 times 2326?\nAnswer: 8354992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:43 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:08 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 232079, 232058, 232009, 231920, 231779, 231574, 231293, 230924?\n\"Answer: -2*p**3 - 2*p**2 - p + 232084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 271*b**2 - 151*b - 2069. Determine h(-136).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -28*w + 9. Let u be 0\/(-2) - (-36)\/12. Is u < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -44. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3484?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/5 - 236*z**2\/5 - 1494*z\/5 + 1332 = 0.\nAnswer: -111, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.005 or 3827\/596?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -563.5?\nAnswer: -112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 424131 and 585?\nAnswer: 82705545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 95, 209, 369, 575, 827, 1125?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136 - 133) + 95 + -18?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198513 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:34 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -24. Suppose -3*m = -7 - w. Suppose -4 = -m*p, -13 = -g + p + 7. Calculate the highest common divisor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 4*l - 8. Let q be d(-5). Suppose 8*n - q = 175. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1201.2 to the nearest 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, l: 1, v: 1, u: 2}. Give prob of picking 1 i and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 4*k. Which is the nearest to 0? (a) 1\/5 (b) k (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - k**4 + 5*k**4 + (0*k - k + 2*k)*(-2*k**3 + 0*k + 0*k) + 0 - 2*k**4 + 0 as y + u*k**4 + p*k + w*k**2 + m*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7987518 divided by -18.\nAnswer: -443751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 + -378. Does 24 divide -6*(p + (-1445)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:13 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 19*k - 62. Let g be j(-3). Let b(u) = u**2 - u + 4. Let a be b(-3). Let y = g + a. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 12 = 10*o. Solve -5*s + o = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(11610\/(-8109)) - 7. Sort -2\/21, -0.4, g, -0.3.\nAnswer: -0.4, -0.3, -2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/24 - 11*v**2. Let s(g) = g**2 + g. Calculate -3*s(l) - 3*t(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 48 = -6. Let r = o - 17. Let p = 0.02 + 0.28. Put p, r, -4 in decreasing order.\nAnswer: r, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 6*m**2 + 3. Let u(j) = 1 + 1 - 3*j**3 + 3*j + 2*j**3 - 4*j - 5*j**2. Let f(d) = 3*u(d) - 2*y(d). Calculate f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7492 - 7485. Solve -y = j, -5*y - 3*j - 36 = -x*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (10 + (17 - (-26 - -2)) - (5 + -3)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.4 - -16.5. Let i = -0.9 + c. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*j - 14, -w = j - 2*j + 4. Suppose 5*o + j = 3*k, -3*k - 3 = -2*o - 6. Suppose -h - k = -12. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from {t: 3, m: 3, r: 4, j: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9720 - -19588. Is i a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 14 - f - 2*f + (5 - 2 - 4)*(3*f - 13*f - 17 + 11*f).\nAnswer: -4*f + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueug when four letters picked without replacement from xegeueu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 7*p - 435. Suppose -2*s + p = -57. Let u = -44 + s. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 3*u**2 + 3*u + 2. Let b = -6 - -2. Let d be 6*1*(-6)\/b. Let x(j) = j**2 - 9*j - 2. Let w be x(d). Calculate y(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y\/(y*y**(5\/7)*y) assuming y is positive.\nAnswer: y**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j - 68*j + 2244 = 68*j + 3*j for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 217439652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1576 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7*b = 3*b, 2*b = -5*a. Let g be 29 + -27 - 2\/6*4. Let r = g + a. Do r and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130662 (base 7) to base 5\nAnswer: 1234343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t - 1. Let o(r) = r**3 + r**2 - 3*r - 1. Give -3*m(a) - o(a).\nAnswer: -a**3 + 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6408 + 64129\/10. Let f be 2\/4 - 2\/(-4). Calculate the common denominator of p and (-77)\/(-36) - f\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562182 divided by 129\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5958 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12930 + 18*v - 12930 to the form s*v + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -29*a - 26. Let h(o) = -62*o - 60. Let i(d) = -9*g(d) + 4*h(d). Let y(x) = 11*x**2. Determine y(i(p)).\nAnswer: 1859*p**2 - 1716*p + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 301, 3, 1, 4, 35, -1, -5 in descending order.\nAnswer: 301, 35, 4, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8\/2)\/(12 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8490088, 8490099, 8490110, 8490121, 8490132, 8490143?\n\"Answer: 11*h + 8490077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.2. Let h = c - 0.2. Let x be (20\/(-6))\/((-2)\/(-18)*-6). What is the third biggest value in x, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 9728.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22)\/10)\/((-1)\/5). Suppose -6*h - 85 = d*h. Which is the third smallest value? (a) -2 (b) -0.05 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -7. Are b and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - 5 - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 136. Let n be (-1)\/((-2)\/(-40)*z - -4). Does 15 divide 3 + 25\/n*(1 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*i + 126*s = 115*s + 39 + 27, 3*i + 2*s - 39 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 919 + 158 = i - w, -4*i = -w - 4308. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18178 - -22017. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 46814*c + 134281640.\nAnswer: 2*(c + 3347)*(c + 20060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:32 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (0 + -3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.5411445 to 0 decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 3}. What is prob of picking 1 m and 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 20*g**4 + g**3 - 5*g**2 + 3*g + 28*g**4 + 0*g + 1 + 6*g**2 to the form w*g**4 + b*g + p*g**3 + u*g**2 + d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4 - 147*b**3 + 830*b**2 + 2256*b = 0.\nAnswer: -2, 0, 8, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(468) + 0)*-2)*-5)**2*-3.\nAnswer: -140475 + 1800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179098 - -179123. Suppose 4*n = 4*s - 480, 0 = 2*s + 4*n - 202 - 44. Calculate the remainder when s is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(sqrt(77) + 1*3*sqrt(77) + sqrt(77)))\/(-3*sqrt(44)\/(sqrt(16)\/sqrt(4)*-4)).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7 + 19*s**2 - 6 + 4 - 8*s**2 - 7*s. Let q(z) = -10*z**2 + 6*z - 5. Let t(l) = -6*g(l) - 7*q(l). What is the derivative of t(v) wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/54 + 62*s**3\/9 + 961*s**2 + 1130*s. Solve i(w) = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 1\/2 (c) 4 (d) -903 (e) -5 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28192 + -28191.5. Let h = -1.98 + 2. Which is the closest to k? (a) 0.3 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13232396 a multiple of 2174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 - -0.9. Let v = -14 + 13.9. What is the closest to v in -5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7939*i - 7949*i = 0. Solve 5*x - 3*g - 16 - 13 = 0, i = x + 4*g + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:07 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 830 and 2491245.\nAnswer: 4982490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, -21, -745, -2171, -4533, -8065, -13001?\nAnswer: -19575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/6*9\/(-6). Suppose -j*s = -s - 138. Suppose -2*y + 5*y + p - s = 0, -5*y = -4*p - 88. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 17*p**4\/6 + 127*p**3\/6 + 51*p**2 - 130*p. Let k(z) be the first derivative of w(z). Differentiate k(m) with respect to m.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3466 - 3466 + 29*u**2)*(-u**2 + 0*u**2 - u**2).\nAnswer: -58*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214213545.\nAnswer: 5, 269, 902761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w + 16 = 3*s, -6 = 2*s + 2*w. Suppose -4*m + 6 = -s. Solve -3*c = m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109164 or -109216?\nAnswer: -109164","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/22939)\/((-33)\/(-1078)*-7).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let v(l) = 8*l. Let n(z) = -20*f(z) + 6*v(z). What are the prime factors of n(-21)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose -10 = -b*u, -4*p + 12 = -u - u. Let i be (-110)\/5*(-6)\/p. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 22. Let h = -7 + s. Calculate the least common multiple of 8 and 2\/(-6) + 21\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20994282989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20825\/11 in 2, 1, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/159 + 585\/53. Solve u + 4*b + 21 = 0, -4*b - k = 2*u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303 + 59*z - 122 - 213 + 54*z.\nAnswer: 113*z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 967, 7887, 26699, 63349, 123783, 213947, 339787?\nAnswer: 507249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + s**2 - 2*s - 4. Let a(w) = w**3 + 1. Determine 4*a(d) + f(d).\nAnswer: 2*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3301 - -12?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2 + (-33)\/15). Suppose -s*m + 40 = -50. What is the lowest common multiple of m and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/44 - -8\/11. Let d = -4.478 + 0.478. What is the second biggest value in d, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 5, c: 2, j: 3, v: 3}. What is prob of picking 1 y, 1 c, and 1 j?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140785, -566105, -1274967, -2267365, -3543293, -5102745, -6945715, -9072197?\nAnswer: -11482185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/24)\/(24\/32). Suppose 2*a = 8*a. Suppose g + 1 = -a. Are s and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let n = 467500.029 + -467500. What is the third biggest value in 1, z, -4, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3430\/(-560) + (-3)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Suppose p - c = -2*p + 17, 2*c + 14 = p. Suppose -k = -0*k + p*q - 14, 5*q - 17 = -k. Let w(l) = -k*l + 0*l - 2*l. Give w(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Let w(d) = -b + 2*d - 3 + 6. What is the units digit of w(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356 and 69954?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*c - 143 = -i, 3*i + 3*c - 207 = 0. Let q = 73 - i. Find the third derivative of 30*w**2 - 15*w**6 - 7*w**6 - q*w**2 wrt w.\nAnswer: -2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -491.024 from 5432084.8.\nAnswer: 5432575.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156679*f + 36580 wrt f.\nAnswer: 156679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10984 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 634 or 962?\nAnswer: 962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134\/603 - (0 - (-5648)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 26*l - 65 to i*l + o and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(4 + (-82)\/21). Suppose -3 = 3*r + 4*a - n, -r - a = -5. Solve -d = 5*m - 9, -m - 13 = -6*m - r*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 7) to base 5\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10546 + 463943\/44. Calculate the common denominator of y and 49\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2 (c) -0.137 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -49867*u - 2 + 2 + 49797*u - 1 - 4*u**3 as i*u**2 + z*u + n*u**3 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 6*j**2 + 2*j - 5. Let a be r(6). Let p be 87\/6 + ((-12)\/(-4))\/6. Let q be (0 - 57\/p - -3)\/(-2). What is the second biggest value in a, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1666232 (base 10) to base 6.\nAnswer: -55414012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23953 - 23904. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -119786*z + 3114360. What is c(26)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -59*k**2. Let t(a) be the first derivative of -8 + 0*a**2 - 1\/3*a**3 + 0*a. Determine h(t(j)).\nAnswer: -59*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212367 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(468)*2 + (sqrt(468) - ((0 + sqrt(468) + sqrt(468) - sqrt(468)) + -2)))**2.\nAnswer: 336*sqrt(13) + 3842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 152.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/94 and -51\/719429?\nAnswer: 1438858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -830453\/1276 + 7166\/11. What is the common denominator of s and 11\/232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 111. Let t(p) = p + 1. Determine -g(w) + 4*t(w).\nAnswer: 2*w - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(17\/5 - 44\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -s - 57. Suppose 43*h - 16 = s*h. Solve -o - 2*z + h = 0, -z - 6 = -4*o + 4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 5, l: 3}. What is prob of sequence pl?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*y + 1 = 4*x, 16 = -3*x + 4*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/11519160 and 161\/17700.\nAnswer: 57595800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168830098?\nAnswer: 2, 379, 222731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -483 by 4.\nAnswer: -483\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(147) - (1 + sqrt(147) + 4)) + sqrt(147))*-5)**2.\nAnswer: -63000*sqrt(3) + 154800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1600770 = 1600768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 141006 (base 7) to base 3\nAnswer: 1100201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -56. What is the tens digit of 3\/5 + (-285)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 264*p**3 + 565*p**2 + 136*p**3 + 132*p**3 - 565*p**2.\nAnswer: 4*p**3 + 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 17*c**2 - 19*c + 18. What is v(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36107 is divided by 85?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-46)\/184 + (-5761)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12827 + 28440. What is q rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z**5 + 1791*z**4 + 14229*z**3 + 27141*z**2 + 18684*z + 3996 = 0. Calculate z.\nAnswer: -111, -6, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 14*m + 8. Let n(z) = 3*z**2 + 13*z - 6. Give 2*l(r) + 3*n(r).\nAnswer: 5*r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Suppose -2 - n = 2*c. Let l(z) = -z**3 - 2*z**2 + 5*z + 1. What is the tens digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.751 + 0.851. Which is the fourth smallest value? (a) h (b) 9 (c) 1 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-4) + -3)*10\/(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 39, 77, 139, 231?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 377*g**2 + 5*g**4 - 2 + 3*g**3 - 373*g**2 - 3 to the form y*g**4 + z + b*g**3 + p*g**2 + a*g and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -20 in ascending order.\nAnswer: -20, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.65753 less than 272?\nAnswer: 103.34247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1053) + sqrt(1053) + -2)**2*5.\nAnswer: -1440*sqrt(13) + 84320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26723 - 20*f**3 + 26584 - 53307.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7887 - 11109*u**2 - 7881 + 15768 + u.\nAnswer: -11109*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 8*f**2 + 19*f - 5. Let n be b(-10). Let o = 722.9 + -723. What is the nearest to o in -0.4, 0.3, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -24 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.9885 - -80. What is j rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 h, and 1 l when four letters picked without replacement from {g: 1, l: 3, h: 5, x: 1, n: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, 1, -5 in ascending order.\nAnswer: -5, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/27 - 2\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s - 1. Let j be v(-2). Suppose 0*x = 3*x - 12. Suppose -4*y + 19 + j = 2*a, -40 = -4*a + x*y. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25908677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125587 (base 10) to base 2.\nAnswer: 11110101010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 931892.5 hours in nanoseconds?\nAnswer: 3354813000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614207.\nAnswer: 3, 7, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:20 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 11*s**2 - 346*s + 672*s - s**2.\nAnswer: 7*s**2 + 326*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*h + 12836 = 6*h, 0 = -3*f - 3*h + 12831. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:42 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4 + -4)*(1856\/816)\/29?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 + 150. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -973*l**2 - 997*l**2 + 170*l + 116*l + 1955*l**2 to the form v*l + w + n*l**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(48) + -2 - (sqrt(432))**2.\nAnswer: -434 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l*l**(-5))\/(l**1*l*l**4))\/((l**(-1\/2))**(12\/19)*(l\/l**1*l)**(-5\/6)) assuming l is positive.\nAnswer: l**(-1351\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 + 0 + 2 + 6 + 7 + n. Give o(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c - 5. Let w be z(4). Let o(b) = 40*b**2 - 3*b - 2. What is the units digit of o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 333. Let t be i(0). Let l(c) = c**2 + 89*c + 1339. Let f be l(-70). Calculate the greatest common divisor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.5 + 5. What is the nearest to 0 in x, -2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*l. Let r(n) be the second derivative of -n**3\/3 - 3*n**2\/2 - 2*n. Let k(m) = -101*m - 13 + 15 - 103*m + 205*m. Give l*r(q) + 7*k(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1067 - -33079\/31. Which is the third smallest value? (a) -2\/9 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 - 65*p\/2 - 129\/4 = 0. What is p?\nAnswer: -129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.127, 457, 35, 1\/14, -2\/9.\nAnswer: -2\/9, 1\/14, 0.127, 35, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1376*b + 1369*b + 259*b**3 - 2745*b + 140*b**3.\nAnswer: 399*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 21 = -3*f, 5*v + 4 - 19 = -5*f. Let l(x) = 3*x**3 + 2*x**2 + x - 1. Determine l(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5))**(-27\/2)\/(p**(2\/17))**16 assuming p is positive.\nAnswer: p**(-1078\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66261.\nAnswer: 3, 13, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f**2 + 509*f - 211. Give g(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -15*z - 226. Let j be x(-15). Let c = -314 - -12247\/39. Is j less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9365521*k**2 - 2*k + 893936?\nAnswer: -18731042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 1, 17255, -3, -4\/11.\nAnswer: -3, -4\/11, -0.16, 1, 17255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383598 and 265731.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r - 9. What is m(16)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -190. Suppose 0 = -2*w + 2. Let h be (-16)\/(3 + -4 - w). Let u(x) = -x. Let g(p) = 2*p. Determine h*u(m) + j*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c = -132. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2686 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*y = 9*y - 7, 0 = 4*d + 5*y - 7. Let t(q) = q - 26 - q + 45 - 21 - d*q. Let p(o) = -7*o - 5. Let b be 1\/(5\/6 - 1). Give b*p(z) + 15*t(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 12, g: 3, l: 1}. What is prob of picking 2 g and 2 o?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17802 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 29 + 820*h**2 - 19 - 23 in the form o*h**2 + u*h + q and give o.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l*l*l\/(l\/l**(-1))*l*l*l*l)\/l*l*l**(-3)*(l*l*(l\/(l*l\/(l**0\/l)))\/l*l)\/l**2*((l*l*l**(1\/4))\/l)**(-3\/31)\/(l**1*l\/(l**1\/l)) assuming l is positive.\nAnswer: l**(-15\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/22495086 and -113\/22495086?\nAnswer: 22495086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196016607 is divided by 343.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -0*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 6*h + 5*h = -3*f + 55, 5*f - 3*h - 49 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 64*h + 98 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -4*t**5\/5 - t**4\/6 + t**3\/3 + 17*t**2\/2 - 555*t. Find the second derivative of l(m) wrt m.\nAnswer: -96*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 0.12, -3 in ascending order.\nAnswer: -7, -3, 0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355593?\nAnswer: 3, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 - 4 = 0. What is the derivative of -c + 0 - 2*c**k - 2 + c wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/41)\/s*s)\/s)\/((s\/((s**(-25)*s)\/s))\/s)*s**(2\/11)\/((s**(1\/2)\/s)\/s*s))**(1\/2) assuming s is positive.\nAnswer: s**(-22881\/1804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.6 - -20.5. Sort -14, d, 0, 4\/7 in ascending order.\nAnswer: -14, d, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*w - 270 = -436*w + 4*a, 0 = -4*w - 68*a - 52*a - 8036 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7026539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.243 + -0.007. Let i = -0.05 + f. Which is smaller: -8 or i?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011001111 (base 2) to base 4\nAnswer: -223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 75943?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*t - 5, -3739*i - t = -3742*i + 61 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*a + 5*n, 8 = 3*a + 4*n. Let b = 4 - a. Solve 0 = 2*k - 4 - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0 + 0*c - 1\/24*c**4 + 1\/4*c**5 + 1\/120*c**6 + 5\/3*c**3 - 45*c**2. Find the second derivative of p(v) wrt v.\nAnswer: 6*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*y**4 + 25*y**3 + 2648*y?\nAnswer: 480*y**2 + 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 4*a**3 - 6006*a + 315741.\nAnswer: 8*a**3 + 12*a**2 - 6006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203113243 + -42?\nAnswer: 203113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -12. Suppose -a + w*a - 3*r + 3 = 0, -3*a - 21 = r. Let b(d) = -d**2 - 7*d + 4. Is b(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 11. Suppose 0 = 4530*q - 4504*q. Determine x(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let u(z) = -z**2 + z + 27. Let c be u(6). What is the nearest to 0.2 in 3\/5, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:29 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**3 + 0 + 1\/12*g**4 + 2*g**2 + g. What is the derivative of m(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90.235 - -90. Let t = 2700 - 2700.2233. Let p = r - t. What is p rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 9 + -28 + 24 + -25.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 4, 0.3, 34, 3, -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - 2*m**2 + 2*m**2 - 3*m + 5*m + 2*m**2 - 5*m + 4*m**2 + 7*m**2 - 3*m**2 + (m - 3*m + 0*m)*(-3*m + 0*m + m).\nAnswer: 11*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10*z. Solve z = -p - p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40632 or -40631?\nAnswer: -40631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 30 = -0*r. List the prime factors of (-12)\/60 + 4848\/r.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 895517*k + 895676*k + 9*k**2 in the form r*k**2 + f*k + x and give f.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1075 (b) 3.9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5193*d + 357718 = -650*d - 146555 for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*l = 141 - 150, 0 = 3*v + 5*l - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/6, -55, -1\/8, -4, 3\/5, 211?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + (-555)\/20. Let l = 107 + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7396 and 1322.\nAnswer: 4888756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -0.87, 76.1, 0.28.\nAnswer: -0.87, 0.28, 17, 76.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (26 + -13 + 47)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2490 + -2476. Solve -i + 3*y + 5 = 0, -v*i - 2*y - 15 = -17*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 7*b**2 + 5*b + 27. Let a be w(5). Solve -1\/6*z**a - 2\/3 + 2\/3*z = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6102 is divided by 613?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsssttsss. Give prob of picking 4 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64135 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -93.\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/((-41976)\/(-3127)))\/((-1)\/8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*r - 38*r + 136*r - 10902 = 0 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x. Let f(s) be the second derivative of 0*s**4 + s + 0 + x*s**2 + 1\/30*s**5 + 0*s**3. Factor f(t).\nAnswer: 2*t**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/11258 and 149\/5720?\nAnswer: 2476760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -2*a, -4*y - 6 - 18 = -2*a. Let c = y + 4. Let b = -2 + 2. Is b less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - z + 2*z + 2 - 2 + z - 5*z + 6*z + 0*z + (-1 + 1 + 2)*(0*z + 2*z - z) - 7 + 5*z + 7 to q + k*z and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2856, 2822, 2786, 2748, 2708?\n\"Answer: -q**2 - 31*q + 2888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1809*n - 95217. Determine x(-53).\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(-3*sqrt(10)*-2) - (3 + (3*sqrt(136))\/sqrt(8)).\nAnswer: -17*sqrt(17)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.34 - 3.66. Let r = 3.5 - -0.5. Which is the biggest value? (a) -3 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227\/9 - -230\/9. Which is the third smallest value? (a) w (b) -3 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 85.616 nanoseconds?\nAnswer: 0.000000085616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 247 = 3*s, 0 = 3*s + 6*k - 11*k - 239. Calculate the remainder when 246 is divided by s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.771 plus 1341102.5321?\nAnswer: 1341103.3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.2, 11, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -0*v. Solve -4*o + 4*f = 40, v = 4*o - 2*o + 2*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5173, -9746, -14319, -18892, -23465?\nAnswer: -28038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 17*p + 10. Let s be b(-9). What are the prime factors of 976\/10 + (s - (-6)\/(-10))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.3 and 60.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5578864 grams to milligrams.\nAnswer: 557.8864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 10\/6)\/((-584)\/44496420) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 8*p - 7)*(0 - 2 + 0)*(-31 - 14 + 96)*(4*p + 0*p - p)*(0 + 1 + 0) in the form v*p**2 + z + b*p and give v.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 less than or equal to 610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3*j**3 + j**3)*(0 - 2*j + 0) + (3*j**2 + j**2 - j**2)*(-718*j**2 + 1820*j**2 + 2184*j**2).\nAnswer: 9860*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-555)\/9)\/(7\/(-84)*4). Let v = 384 + -236. Calculate the greatest common factor of g and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 164617*o + 2633906. Calculate g(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -238*d**3\/3 + 125*d + 466. What is the derivative of l(f) wrt f?\nAnswer: -476*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 711813c?\nAnswer: 7118143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffucccfnvucnffu. Give prob of picking 1 v and 1 n.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*a + 3*v, 2*a - a = 4*v - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158634148.000143 - -158634247. Let c = 99 - u. What is c rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3414 divided by -2\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 + 9*u - 3. What is the units digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-24))\/((-5)\/(-225))*(-42)\/(-105).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -153092*c + 153124. Give d(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, -3, -1\/3, -6.\nAnswer: -6, -10\/3, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261455381 or 261455379?\nAnswer: 261455381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 257*h\/4 + 253.\nAnswer: (h + 4)*(h + 253)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2639, 0.2, 0.039, -1, -3\/8, -2, -1\/6?\nAnswer: -5\/2639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39174 divided by 123?\nAnswer: 13058\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s. Let j(t) = -351*t**2 + 14*t - 5. Let g(b) = 70*b**2 - 2*b + 1. Let i(d) = 15*g(d) + 3*j(d). Calculate m(i(y)).\nAnswer: -72*y**2 + 288*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, -5, 610\/13 in descending order.\nAnswer: 610\/13, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(77)\/(1*sqrt(11)) + 2*sqrt(7) + sqrt(7) + 3 - (sqrt(14) - -3*-1*sqrt(14))\/(sqrt(2) + sqrt(2)*-2*-5).\nAnswer: -1 + 46*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381402501*s**3 - 146381017*s.\nAnswer: 2288415006*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o**2 - 5*o. Let h be n(2). Let y be 2\/6 - h\/(-3). Solve -y = -5*x - 0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i**(-2\/3)*i*i**1*i\/((i**0*i*i*i)\/i) assuming i is positive.\nAnswer: i**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2795863 and 0.11533824.\nAnswer: -1.16424806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (128 + -71 - 47 - (1 - (1 - -26)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 17 + -25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x + 3*x)*(-3 + 3 - x)*(6 - 3 - 1)*(12 + 1 + 8) to q*x + n*x**2 + j and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 56.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 5 - 3*q + 4 + 23*q**2.\nAnswer: 23*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135\/8 - 6*p - 1\/8*p**2.\nAnswer: -(p + 3)*(p + 45)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 130\/4 - 1\/2. Suppose 26 = 4*k - 2*f, -1 = -4*k - 5*f + x. Suppose -k*c = -2*c - 40. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 18546762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895*p - 67620 = -925*p. What is the smallest common multiple of p and 575?\nAnswer: 56350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbddbbbb. Give prob of sequence db.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -3\/4, 1\/190, 4.\nAnswer: -4, -3\/4, -0.5, 1\/190, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4564 and -6.\nAnswer: 4558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44650\/940)\/(28\/56)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 3\/45*39. Which is the closest to -0.1? (a) -5 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i**2 - 16*i - 33. What is d(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112624*a + 562160*a + 148855*a - 1115374*a.\nAnswer: -1516983*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55739595.81 - 977.7?\nAnswer: 55738618.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*g - 40, -18328895 + 18328927 = 4*g + 3*q for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624032.08 rounded to the nearest 10000?\nAnswer: 2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b + 2 - 1\/16*b**4 + 1\/6*b**3 + 0*b**2. Suppose y(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/32)\/d**(-18\/7)*(d**(-31)\/d)**(-21\/4) assuming d is positive.\nAnswer: d**(38215\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191 by 260.\nAnswer: 191\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 575 and 73140.\nAnswer: 365700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5199 is divided by 136.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 25*o + 71. Calculate h(-25).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 34 + 59 - 132 + (-k + 2 - 2)*(4 - 1 - 2))*((-3 - 2 + 3)*(-k - 3*k + 6*k) + 0*k - 3*k + 5*k) as o + m*k**2 + a*k and give a.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let j(h) = -h**3 + 5*h - 2. Let k(n) = 49*n - 242. Let q be k(5). Suppose q*f + o = 3, 16*f + 3*o = 13*f + 3. Determine f*j(w) + 4*l(w).\nAnswer: -w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -66. Let l be (-4)\/(-30) - 4\/b. Find the first derivative of 5*n**4 - 2*n**4 + 3 + l*n**4 - 4 wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132231233 (base 4) in base 15?\nAnswer: -27422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) + 0 + sqrt(108) + 1 + sqrt(108) - sqrt(108)))*-5 + 1*(sqrt(108) + 1 + -3))*4*-3)**2.\nAnswer: 31104*sqrt(3) + 561168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 1 - i + 0 + 2. Let g(z) = -4*z + 1. Suppose 4*h + 16 = -0*h. Determine h*g(n) + 5*j(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 12. Let m(r) be the third derivative of 3*r**4\/8 - 25*r**3\/6 + 14*r**2 - r. Calculate -3*m(l) + 7*z(l).\nAnswer: l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (116 - -2)\/2 - 3. Suppose 5*t - t + 24 = 0. Let j be t\/8*b\/(-21). Solve j*h + 19 = -5*d - h, h = -3*d - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128039\/22 - -5822. Let z = 6875 - 110041\/16. What is the common denominator of z and b?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.2 + 56. Put r, -0.1, -0.3 in decreasing order.\nAnswer: -0.1, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 61. Let v(m) = 20 + 13*m - 12*m - 20. Give v(u(k)).\nAnswer: -k**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001120010000 (base 3) to base 8.\nAnswer: -2111734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1043.8148 - -1044. Round r to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/193 (b) 4\/3 (c) 270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2))**(-18)\/(l**(-3\/7)*l**(4\/11)))**(9\/8) assuming l is positive.\nAnswer: l**(-774\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c*g*x**2 + c*g*x - 5*c*x**2 + 39*c + 2*g*x - x**3 wrt x?\nAnswer: 38*c*g - 10*c - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-120)\/(-58) + (-432)\/6264. Solve 3*f - 7 = c*r, 5*f - 23 = 2*r - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 12 (c) -41 (d) -52 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Suppose 5 = -s - 5*k, -4*s + 5*k + 5 = -25. Put 2, n, s in ascending order.\nAnswer: n, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 20\/3*v**3 + 25\/2*v**2 + 5\/4*v**4 - 243 + 10*v. Let d(w) = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2461925*f**2*j**3 + 145*j**3 - 3*j**2 + 2*j + 120 wrt f?\nAnswer: -4923850*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 4*u**3 + 4*u**3 + (-3*u**3 + u**3 + 0*u**3)*(0*u + 4*u - 3*u) + 20008*u**4 - 14*u**2 - 4*u**2 - 20005*u**4.\nAnswer: 2*u**4 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -469.7 + 75.7. Let r = m + 396. Which is the fourth biggest value? (a) 4\/7 (b) 4 (c) 0 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37708 divided by -5.\nAnswer: -37708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6221\/4 + 280717\/180. Let w = s + 103\/30. Find the common denominator of w and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689672034 to the power of 1\/2, to the nearest integer?\nAnswer: 26262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 5 (c) 0.107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -63*y - 642. Calculate i(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219911000.\nAnswer: 2, 5, 219911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 174324.45 hours?\nAnswer: 7263.51875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15783130*a - 17138418 with respect to a.\nAnswer: 15783130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 1 - 1)*(2156 - 420*f**4 - 2156) - 3*f**2 - 2*f**5 + 3*f**2.\nAnswer: -842*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1331*d**2 - 3*d - 222?\nAnswer: -2662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426755628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(306\/513) + -2 - -22?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 6632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/13, 0.6, -3, 0.5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271232486.\nAnswer: 2, 7, 19, 241, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55336676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-29)\/2)\/(7\/(-2)) + (-2)\/14. Solve 9*b - 13 + v = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let j(m) = 3*m + 11. Determine -d(o) + j(o).\nAnswer: 2*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2\/21*p**3 + 1\/7*p**2 + 1 + 0*p. Suppose r(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -1)*(-3)\/(-2). Suppose -8 = -c - n*g, c + 6*g = 2*g + 12. Let s(k) = k - 1. Let v(p) = 4*p + 3. Let x(o) = 3*s(o) - v(o). Determine x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -516771.2 and -4.\nAnswer: 2067084.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2084, 4546, 7002, 9452, 11896, 14334?\n\"Answer: -3*t**2 + 2471*t - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32931830.35 less than -9.2?\nAnswer: 32931821.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000011212122211 - 0?\nAnswer: 21000011212122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -2)*1\/2. Let c be ((-1)\/z)\/((-7)\/(-56)). What is the third derivative of 3*u**5 + 0*u**2 - c*u**2 - 6*u**5 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(8\/16). Suppose p + 0*q - 13 = 3*q, 0 = -p - 3*q - u. Let g(a) = 4*a - 1. What is g(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/60)\/(1*4\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by -1\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213038391 and 909?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 = -9. Suppose -w = -2*t + 9, -11 = -q*t + 14. Let d = -35 - -18. Which is the smallest value? (a) -5 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -2\/7 (c) -6 (d) -1\/8 (e) 0.62 (f) 0.3 (g) 17\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -133330 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k + 2. Let b be (-15)\/(-20)*16\/6. What is w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/1372)\/(66\/(-154))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 - 120233320?\nAnswer: -120232312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - -24.56.\nAnswer: -91.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7338634 millennia in years?\nAnswer: 733.8634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1988222 from -24973723.\nAnswer: -26961945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(20)*3*2 - sqrt(140)\/(-1*sqrt(7)))*-2 + -2))**2.\nAnswer: 2800*sqrt(5) + 98100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*y**3 + 6*y**3 - 8*y**3 + (4*y**2 - 2*y**2 + 0*y**2)*((-2 + 3 + 1)*(-3 + 3 - 2*y) - 4 + 8*y + 4).\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n. Suppose i = -3*b + 3, 2*b + 0*i + 8 = -4*i. Let m(o) = -7*o**2 + 7*o**b + 3*o**2. What is m(x(k))?\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.8358 hours in seconds?\nAnswer: 237008.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1724072223.965 and 0.2.\nAnswer: 1724072224.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2*z + 1. Let j be h(2). Solve 0 = -2*p + p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -228659 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.0918 + 0.9082. Which is bigger: h or -38\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -8610.71?\nAnswer: 25832.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/2 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 15258*m + 4 - 2*m**3 - 3 - 15255*m in the form q*m**3 + z*m**2 + u + v*m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*c = 9390, 2*f + 12*c = 11*c + 9390. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(125\/(-10)))\/(6\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v. Let n be f(1). Let q(o) = 2*o. Let l be q(n). Find the common denominator of l\/15 - (-876)\/320 and 67\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p + 761 + 603 + 35*p - 1364.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 3*f - 37 = 0, -2*x - 156*f = -155*f - 0 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 14014*b + 28018*b - 14009*b + 4*b**2 as i*b + n*b**2 + m and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 148*l**2 + 176*l + 3285. Give m(-149).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 + 180. Let x = -0.6 + 1.1. Which is the third smallest value? (a) -0.16 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1128.953133 seconds?\nAnswer: 0.0018666553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1576306 and 1576308 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34765769 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:58 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 4*d - 8)*(d**2 + d**2 - d**2) - d - 3*d**2 + 5*d**2 - d**3 - d**2 to q*d**3 + f + b*d**2 + l*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 35. Suppose -i = -9*h + 2*h. Solve 5*f = 4*q + h, 3*f + 2 - 8 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44833 is divided by 11204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -183?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -1 (c) 18485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1393687302 divided by 6\nAnswer: -232281217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 6 = -9*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/40 + 493\/2. Solve 302 = 8*w + y for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + n**2)*(-11*n**2 - 93 + 93) to the form y*n**3 + f*n**4 + k*n**2 + p*n + l and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0930903?\nAnswer: -0.03723612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z - 3. Let m be 4*18250 + (-1 - z). Round m to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-2*(sqrt(539) + sqrt(11))).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 896160, 896555, 896950?\n\"Answer: 395*s + 895765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/15)\/((13 - -519)\/14)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -6, -3, -0.4 in increasing order.\nAnswer: -6, -3, -0.4, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 24 = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/(6\/(-261)). Let z be (45\/(-20))\/(3\/(-38)). Let r = b - z. Put -1, 0, r in decreasing order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 961890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 4. Suppose 0 = -5*j + 10, 14 = o - j + 4. Suppose -o*n = -13*n + 20. Calculate the lowest common multiple of n and h(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 4, 6927, -2 in descending order.\nAnswer: 6927, 40, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.5 + 9.5. What is the third biggest value in t, 18, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 - 6*b + 5. Let q be s(6). Let l = 10 - 230. Let v = l - -224. Solve -9 = -2*x + q*x + v*y, 13 = 4*x - 3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159 and -763?\nAnswer: -121317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388397836.\nAnswer: 2, 83, 1169873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -5630?\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 412*y + 6630 = 0.\nAnswer: -15, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/4 + 3091*o**4\/4 + 2892663*o**3\/4 + 741278033*o**2\/4 + 3092709584*o - 3278753031 = 0. Calculate o.\nAnswer: -1346, -381, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482601446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24879?\nAnswer: 3, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 601*z**2 + 2*z + 19. Let x(b) = 5*b**3 - 1804*b**2 - 5*b - 51. Calculate -8*n(c) - 3*x(c).\nAnswer: c**3 + 604*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) 7\/2 (c) 2\/9 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 740371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 7*l - 78. Solve -6 - 10 = l*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 80 = -5*k + 2*b, 2*k - 2*b + 10 = 0. Let w(n) = 26. Let f(i) = -i - 27. Calculate k*w(u) + 2*f(u).\nAnswer: -2*u + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78212 (base 11) to base 10.\nAnswer: 113390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -88, -131, -174, -217?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 65+114333\nAnswer: 114398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828273079 to the power of 1\/2, to the nearest integer?\nAnswer: 42758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 6 = 3*i. Let k be -309 - -11 - (i + 1). What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 + 9*s - 14. What is the lowest common multiple of 2 and c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(-2\/7))\/i*i))\/i*i)**(-7\/4)\/(i**9*i**0*i)*(((i**(1\/4)\/i)\/i)\/(i**(-8)\/i))\/(i*i\/i**(-2\/3)*i**(-3\/2)) assuming i is positive.\nAnswer: i**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/3711 or -80?\nAnswer: -17\/3711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -29, -46?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 3 - 23. Solve 0 = w*o + 2*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1048, -1034, -996, -922, -800, -618, -364, -26?\n\"Answer: 2*u**3 - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*u - 37*u - 197*u + 681*u.\nAnswer: 244*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {w: 1, u: 3, y: 2, f: 4, n: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = -3*p - 140, 4*p + 98 = 3*s. Let x(r) = -r + 15. Let f be x(10). Sort s, f, 1 in descending order.\nAnswer: s, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139.87042 + 139.9. What is z rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7 + 2*q + 1 + 0. Let y be j(5). Let i(t) = -5*t + 963. Let r(z) = 9*z - 1765. Let p(d) = 11*i(d) + 6*r(d). What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5688882 and -73\/161514.\nAnswer: 51199938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -37632*z**3 - 2815008*z**2 - 2243835*z - 449550 = 0.\nAnswer: -74, -45\/112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218179641?\nAnswer: 3, 19, 53, 72221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btqz when four letters picked without replacement from ttzbqtcztbcqqqw.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462033*h**2 + 233687*h.\nAnswer: -924066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 211*o - 24901. What is m(118)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1095 - -0.3\nAnswer: 1095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*h + 80. Calculate the remainder when h is divided by 205\/10 + (-18)\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 divided by -1.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, y: 14}. What is prob of picking 2 t and 2 y?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -15, -19, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 33. Let p = u + 21. Let k(b) = -b**2 - 2*b**2 + 1 - p*b**2. Determine k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 1. Let p(d) = 2*d**3 + 4*d**2 - 4*d - 8. Let n(h) = 6*g(h) - p(h). Let v(f) = 6*f**3 - 7*f**2 - 13*f - 6. Determine 7*n(c) + 2*v(c).\nAnswer: -2*c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - 8 - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -388.\nAnswer: -3\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000011101 (base 2) to base 16.\nAnswer: -e1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -780166.\nAnswer: -780166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/20 + w**4\/12 - 2*w**3\/3 + 5*w**2. Let i(c) = 4*c**2 - 1. What is the remainder when i(1) is divided by u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) - (sqrt(171) - (0 + sqrt(171) + 2))))**2.\nAnswer: 300*sqrt(19) + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m + 2*m**2)*(0 + m**3 - 8 - m - 8) - 1 - 3 + 5 + 8*m**5.\nAnswer: 10*m**5 - 2*m**3 - 32*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 3, 0 in descending order.\nAnswer: 3, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a + 0*a**5 + 0*a**6 + 1\/42*a**7 + 6*a**2 + 1\/2*a**3 + 0*a**4 + 0. Differentiate p(z) with respect to z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 58, 2\/7, -6, 0.405, 4, 0.2?\nAnswer: 0.405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 4807?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7884, -8086, -8288?\n\"Answer: -202*b - 7682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1161 (base 12) to base 9\nAnswer: -2601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.04 + 0.04. Suppose -2*d = -3*d + 39. Let r = 116\/3 - d. Which is the closest to -1? (a) -0.3 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, -16, 4\/13.\nAnswer: -16, -5, -3, 4\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -3. Let c = z + 12. What is the third derivative of -m**3 - m**2 + m**3 + 2*m**c - m**5 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*n - 5 + 4, 0 = 2*x - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17600534.\nAnswer: 2, 7, 347, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/15 + -11\/30. Which is the third smallest value? (a) 7 (b) -8 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 8 = -15*k. Suppose -4*b + 816 = k*m, -2*m - 2*b = 3*b - 402. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -78.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105206551 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/6))\/p**(2\/7))\/(p**(-2\/3)\/p*p)**(-25) assuming p is positive.\nAnswer: p**(-677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 158214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 375, 846, 1517, 2394, 3483?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.96485 + -0.01485. What is d rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*u**3 + 520 - 12*u**3 + 594 - 1706 + 592.\nAnswer: -83*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117114779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 5*b + 2*u, -50 = 2*b + 3*u - 15. Let g(q) = q**3 - 6*q**2 - 8*q - 6. Let z be g(7). Let p = z - b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1739 + -784. Let y = -676 + c. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 4*b - 1. Let i be u(3). Suppose 0*h - 10 = -i*h. Suppose -3*n - h = -4*n + 4*l, -n - l + 5 = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52\/7 in -32, -3\/5, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-9))\/(-73*(-45)\/59130)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31726*b - 2*b**2 - 3 - 8*b**2 + 16*b**2 + 1 + 31581*b.\nAnswer: 6*b**2 - 145*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.58, 7, -15023?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1089602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 515 = -3*m + m, 4*p - 4*m = 424. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 874853980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w + 18*w + 18*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 67 + 23 + 584*l + 11.\nAnswer: 584*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -877*m + 6671. What are the prime factors of x(-19)?\nAnswer: 2, 3, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 bigger than 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -1. Let f = 17 - b. Solve 2*g + f - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.96718 rounded to 2 dps?\nAnswer: 18.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 955251 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/32)\/(3\/8). Find the third derivative of -v**2 + v**6 - 3*v**6 + 3*v**6 + 3*v**n wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2. Let j be x(1). Let f = 4 + j. Solve z - f*z - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.2. Let u = -284239\/4 + 71060. What is the nearest to z in 4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189860864?\nAnswer: 2, 31, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142622 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 68 = p. Let w = p - 86\/5. Which is the smallest value? (a) w (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/13, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0, -2.48, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 12*q + 32*q to the form y*q + j and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 29*n - 323. What is k(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -3*v**4\/2 + 56*v**3\/33 + 7*v**2\/11 - 4*v\/11 + 279. What is l in o(l) = 0?\nAnswer: -1\/3, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1696\/20577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 68, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -381999\/7 and -54571 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1121 and 0.2703.\nAnswer: 303.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*179.47\nAnswer: 35.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazztkzzk. What is prob of sequence zktz?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099 a factor of 20757476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4b8a (base 12) to base 6\nAnswer: -103454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9879980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 - 13*z - 2. What is the units digit of u(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2. Let s(m) = -3*m. Suppose 0*r = 2*y + 3*r - 7, 0 = -y - 3*r + 8. Let a(v) = v. Let j(k) = y*s(k) + a(k). Give p(j(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28967729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -6*a + 3, a = -3*k + 93. Let j = k + 610. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.537 - -0.037. What is k rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 + -392. List the prime factors of (17 - (10 - s))*77.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -8. What is the remainder when (-26)\/(72\/20 + j) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*z - 115. Solve 3*k - 5*k + z = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4594.279mm?\nAnswer: 4594279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/(-20) + 7 + 26\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = -35. Let w(i) = 3*i - 5. What is the units digit of w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8362834 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33740 divided by -12.\nAnswer: -8435\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 58, -21, 2669 in decreasing order.\nAnswer: 2669, 58, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or -2110?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t**4 + 555 + 559 + 552 + 5*t - 2*t**3 - 2233 + 559 in the form f*t**4 + a*t**3 + s*t**2 + o + u*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.195 (b) -0.28 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001001101100 (base 2) in base 14?\nAnswer: 2c75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 581571552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167190.\nAnswer: 2, 3, 5, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 859014.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 divided by 2?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/50 - 11*o**4\/30 + 14*o**3\/15 + 24*o**2\/5 + 682*o. Let w(j) = 0. What is j?\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 3*sqrt(95))*3)\/sqrt(5) - (-5 + (2*1*sqrt(19))**2).\nAnswer: -71 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 3*o**5\/20 - o**4\/12 + o**3\/6 - o**2\/2 + 2*o. Let p = 10 + -6. What is the remainder when p is divided by c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - c**2 + 3995*c**3 + c**4 - 3995*c**3 - c as r*c**2 + h*c**3 + j*c + v*c**4 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 3, -10, -43, -102, -193?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:49 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3557*i**4 - 898*i**4 - 895*i**4 - 895*i**4 - 3*i**3 + 2 + 3*i - 892*i**4 to the form l*i**2 + x*i**3 + h*i**4 + t*i + f and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*z**4 - 2 + 17 - 41*z**4 + 13*z**4 + 2*z**3 wrt z.\nAnswer: -40*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022221102 - -2?\nAnswer: -10022221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + 31*v + 10. Calculate u(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 423780341 and 0.4.\nAnswer: 169512136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/27*6*(-7)\/(-546)*2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffu when four letters picked without replacement from {u: 5, f: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Which is the third smallest value? (a) -0.041 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - k**3 - 2*k**3)*(4 + 2 - 4)*(159*k**2 + 21283 - 21283).\nAnswer: 636*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 361197\/1332630 + 180\/(-612)?\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25569 is divided by 12771?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwzl when four letters picked without replacement from wllllwzwvwlwlllll.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:59 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12257133527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1911 + -38. Let k = j - 1139. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n**(-2))**(-22)*((n**(-1\/3))**(4\/7))**(19\/2) assuming n is positive.\nAnswer: n**(-295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a + 8. Let x(k) be the third derivative of k**6\/120 + 7*k**5\/60 + k**4\/24 + k**3\/2 + k**2. Is x(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:13 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 5*w + 2. Suppose -5 + 13 = 2*s. Let x be t(s). What is the tens digit of 4\/3*18 + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 + 16. Determine h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*m - 33. Suppose 0*f = -4*f + 12. Let g(q) = -4*q + f + 0*q + q**2 - 2*q. Give g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19917 is divided by 269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4519380827.\nAnswer: 13, 17, 709, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 7*b**2 + b + 1. Calculate the remainder when j(3) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (4 - 20)) + -1 + 12 + (7 - 4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - 5\/20*-8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 12*q**2 + 0*q**2)*(-13*q + 3*q - 13*q).\nAnswer: 322*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 8:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 9018 = 4806. Is -766 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 4*t - 6*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -1819\/14. Calculate the common denominator of 3\/(-3*6)*1 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-184)\/6*4158\/(-252) is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31623 + 31814 + 31796 - 95233 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -394*z**2 - 4*z - 6. Calculate p(-1).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z + 2. Determine m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1018874 (base 9) to base 7\nAnswer: 4425415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 468019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 6193?\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/736 + -1240127\/8096. Let d = p - -153. What is the second biggest value in 1\/11, d, 1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -11745498.3422817.\nAnswer: -11745498.4422817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11115, -44538, -100183, -177996, -277923, -399910, -543903, -709848?\nAnswer: -897691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -863069 - -33.\nAnswer: -863036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*u - 422, p + u + 210 = 2*p. Let n = -96 + p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/5 (c) -0.3 (d) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -132.1. Is f less than -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2572 and 408305?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) 0 (d) -2\/17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - 2*a + 3. Let r be (-2 - -3)\/((24\/(-9))\/(-8)). Give n(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-126))\/((-1308)\/(-1526)*(-2)\/3).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*t**2 + 46*t**2 + 19*t**2)*((2*t + 0 + 0)*(t**2 - 5 + 5) + 5*t**2 + 3*t**3 - 5*t**2).\nAnswer: 435*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Let w(r) = 8*r + 5. Let v = 7 + 1. Let m(g) = -v + 9 + 2*g - g. Determine n*w(f) + 6*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 4, 0, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/12*72\/(-126)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/762 and 21\/(378\/(-36)) - (-134)\/4.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143398, -4573515, -10290376, -18293981, -28584330, -41161423, -56025260?\nAnswer: -73175841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*t - 1 + 124*t + 59*t**3 - 112*t**3 - 712*t**2 + 55*t**3 wrt t.\nAnswer: 12*t - 1424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 + 26*y**3 + 24*y**3 + 24*y**3 - 14*y**3 + y**2 - 4 as w*y**2 + l + x*y**3 + o*y and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*m + 5*c, c = -3*m - 4*c - 11. Let r(k) = 4*k + k - m*k - 3*k. Let n(i) = -2*i**2. Determine r(n(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11)*-2 + sqrt(22)\/sqrt(2)*6.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5662 - -5661.99993658. Round m to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.064486104 and -30.\nAnswer: -1.93458312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3885 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*i + 125, 0 = 2*p - 4*p + 10. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) - (-5 - 212\/(-42))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2 + (-588)\/(-2). Let m be 144\/p - 2\/(-11). Which is the closest to m? (a) -0.3 (b) 0.06 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 494 = 79*u + 23*u + 58 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27*(y\/(y*((((y**(-2\/43)*y)\/y)\/y)\/y)\/y))\/y*y*y)**(2\/71) assuming y is positive.\nAnswer: y**(2670\/3053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30708 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 25. Suppose -f = 3*t - 81, -t - 3*t + k*f + 108 = 0. What is the greatest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -332, -473, -634, -827, -1064, -1357, -1718?\n\"Answer: -2*f**3 + 2*f**2 - 133*f - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(0 - 4 - 2)*(2*g - 2*g - 3*g**3).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -2*v + v. Find the common denominator of ((-1)\/(-4))\/(30\/v) and 65\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/19, 0.40572 in descending order.\nAnswer: 0.40572, 0.1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let p(b) = -7*b**2 + 73. Give p(s(v)).\nAnswer: -7*v**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/2 of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21561023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 132*z**2 - 11*z + 11. Let y(r) = 27*r**2 - 2*r + 2. Let h(a) = 2*b(a) - 11*y(a). Let w(p) = 30*p. Determine w(h(i)).\nAnswer: -990*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2 - 79*y + 266. Determine h(0).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 4*k - 2*k + 40*k**2 + 0*k.\nAnswer: 40*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/6 + 1149*w**2\/2 + 1320201*w\/2 + 3642. Factor g(q).\nAnswer: (q + 1149)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - -90. Let g = f - 112. Solve -g*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by 160.\nAnswer: -81\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13642157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6*f**4 + 2*f + 2*f**2 - 11*f**4 + f**4 in the form s*f**3 + m*f + b*f**4 + q + j*f**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.869 + 4.859788. Round l to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:18 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1068 divided by -6\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*a - 954*a + 32832 = -455*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14564\/163845*(-15)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-130)\/(-42) - 3). Suppose 0*i + 10 = -k + 5*i, -3*i + 6 = 2*k. Is k less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1275 and 30.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*41\nAnswer: -77.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3689281 grams in nanograms?\nAnswer: 368928100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -431, -8 in decreasing order.\nAnswer: 0, -8, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145516 - -4?\nAnswer: 1145523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = w + d, -5*w - 2*d + 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1340 by 4.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -43. Put x, -5, 0 in ascending order.\nAnswer: x, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let t = 5.01 - 0.01. Which is the closest to x? (a) 1 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 410589519*i\/5 - 410589522\/5.\nAnswer: 3*(i - 136863174)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - u - 1. Let q be r(-1). Let x = -4 - q. Let z be 4\/6 - 4\/6. Sort 2, z, x.\nAnswer: x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*f**5 + 34*f**5 - 32*f**4 - 5*f**4 - 693*f**2 wrt f?\nAnswer: -540*f**2 - 888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 9*p**2 - 6*p + 10. Let r be u(-8). List the prime factors of (-2)\/6 + (-98)\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402 + 9*g**3 - 15*g**3 - g**3 - 402.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -36*r**2 - 32*r**3 + 1 + 8*r**3 + 35*r**2 - 35*r**3. What is u(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 + 3*v + 1112. Let r(h) = 5*h**3 + 2*h + 1111. Give -2*b(d) + 3*r(d).\nAnswer: 3*d**3 + 1109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -3\/5, -3\/7, 3.33, -0.0743?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -372 + 379. Let i(j) be the third derivative of -1\/56*j**6 + 1\/490*j**a + 1\/7*j**3 - 1\/8*j**4 + 0 + 9\/140*j**5 + 0*j + 2*j**2. Factor i(n).\nAnswer: 3*(n - 2)*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 4. Let d(s) = s**3 - 8*s**2 + 7*s - 2. Let f be d(7). Let t be (f - 0)*(-10)\/4. Let b(r) = -r**2 + 5*r. Let a be b(t). Calculate w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30\/19 - 248\/133. What is the nearest to 2\/3 in -1\/2, 7\/2, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -0.03\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = 5*q, u = -u - 4*q - 6. Suppose 0 = -7*c + 4*c + u. Let w(n) = -2*n. What is w(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 265*z**2 + 1. Let b be g(-1). Does 12 divide (-2)\/3 + b\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - v**3 + 4*v**2 + 9*v**3 - 7*v**2 - 10*v**3 + 5 - v**4 in the form w*v**3 + s*v**4 + h + x*v + z*v**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-2\/3)*p)*p*p)\/p)\/(p*p**(-4))*p*p\/(p**(-4)*p)*p*p**(2\/17) assuming p is positive.\nAnswer: p**(550\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(1216) - (3 + sqrt(1216) + -1)))**2 - (1 + -1*(1 + sqrt(304) + 0)).\nAnswer: 4*sqrt(19) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d + 2. Let l(t) = -t. Suppose 0 = -8*p + 13*p - 20. Suppose p*c = 12*c - 96. What is c*l(i) + q(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25691680 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 12*x**3 - 16*x**3 + 16*x**3 - 3*x**3 + 57.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 38*d - 42*d. Let u(s) = -s + 4. Give u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/38536 and 5\/45952.\nAnswer: 221350784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + 550\/(-84). Let r = -8270 + 82767\/10. Let g = z + r. Sort g, -1, 3\/4 in descending order.\nAnswer: 3\/4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.048 (b) 34 (c) 1\/257 (d) 0.2 (e) -1\/4 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15.2. What is the smallest value in 4, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 325*z**5 - 2885*z**4 + 805*z**3 + 13345*z**2 - 12470*z + 880 = 0. What is z?\nAnswer: -11\/5, 1\/13, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1306, -0.4, 1, 252?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-2527)*-336 + -1*10\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 7*a + 146 + 145.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, d: 1, b: 3}. Give prob of sequence dbdb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2)*(2 - 1). Let c = -23.425 + -0.075. Let i = c + 23. What is the closest to h in i, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16.2. Let u be (-30)\/8 - (-4)\/(4\/3). Which is the nearest to -7? (a) 2\/19 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c. Let p = 282 - 174. Let a = 250 - 35. Let r(u) = a + 8*u - 107 - p. Give r(h(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.06. Let a = 5 + -5.35. Let x = j + a. What is the closest to 0 in x, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -156\nAnswer: -19\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 15*g - 14*g + 1 - 2. Let s(o) = 4*o - 4. Let m be 4\/(-8) + (-6)\/(-4). What is m*s(w) - 3*q(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11291 divided by 439.\nAnswer: 11291\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -828*s - 9940. Let h be o(-12). What is the nearest to 20\/3 in 4\/7, h, 4\/3, -2\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let v = 1 - -1. Which is the third smallest value? (a) v (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*n + n**2 - 61*n**4 + 4*n**3 + 6*n - 3*n**3 + n**3 to p + h*n + f*n**2 + m*n**3 + t*n**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -732 - -730. Suppose -2*g - 3*y + 6*y + 117 = 0, -g + 59 = -y. Let h be (g\/(-18))\/((-2)\/(-3)). Sort -1, n, h in increasing order.\nAnswer: h, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 0. Let d(b) = 2*b**2 - 3. Let n be d(2). Suppose q + 17 = n*j, 5*q + 25 = -j + 6*j. Do s and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 39 = -2*q. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3*p**2 - 221*j**3*p - 1789*j**2*p**2 wrt j?\nAnswer: 36*p**2 - 1326*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214831.\nAnswer: 214831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/56 and 3\/64589182.\nAnswer: 258356728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (8*12\/288)\/(2\/80286) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/21 and -19\/231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + 0*d)*(127 - 98 - 113).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/((-24)\/(-918)*(-4)\/16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.471015424 to 4 decimal places.\nAnswer: 1.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 47225*a + 47219*a + 6*a**3.\nAnswer: 5*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11176 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 5*g + 10, 13 = 4*z + 5*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 11. Let b be (-4)\/6 + (-32)\/m. Let z(r) = 3*r**b - 9*r**2 + r + 5*r**2 + 8 + 5*r. What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/91344235 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 544016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -1.7. Let j = w + -0.9. Let p = j - 0. What is the nearest to p in 2\/7, -5\/4, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -1 (c) 3\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 9, -0.1, 527, 0, 0.1, 2.6, -0.035?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33243 (base 7) in base 2?\nAnswer: -10000010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpkppvpkm. Give prob of sequence mkp.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122 + -964a?\nAnswer: -976c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 - -407.33. What is the second biggest value in x, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 32 = 5510*z - 5507*z, 5*z = 2*s + 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1) + -1*5. Let r = -56 + 53. Which is the third smallest value? (a) r (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -67129*f**2. Let g(j) = 27*j - 2. Give g(u(s)).\nAnswer: -1812483*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 + 36*w**3 + 20*w**3.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p - 1 + (p - p - 2*p)*(2 + 0 - 1) + 0 - p + 0 + (0*p + 0*p - 2*p)*(6 - 1 + 3).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008624325 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 21*c**2 - c. Let u be r(1). Suppose 4*l = -l + 10. Solve 5*h - 5*f = u, -4*h + l*f + 13 = -7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11822770 plus 13?\nAnswer: -11822757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6013008 and -73\/1503252.\nAnswer: 6013008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4852, -19162, -42992, -76342, -119212, -171602?\n\"Answer: -4760*t**2 - 30*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-8)\/((-144)\/405)))\/(8\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -24*k**2 + 988*k - 296. Give c(40).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/(a\/(a*a**11*a)*a))\/a)\/a*a)*a\/a**2)\/(a\/(a\/a**(1\/2))*a**(10\/9)*a) assuming a is positive.\nAnswer: a**(-245\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259340 + -259341. Let f = -57 - -89. Let o be -1 + -2*2\/f. Sort 0, o, -0.2, y in decreasing order.\nAnswer: 0, -0.2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y**2 + 4*y**3 + 37*y**2 - 12 + 1 - 69*y**2 in the form f + z*y + v*y**2 + m*y**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 - -17) + -21 - 6) + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2052 and 167362146.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -3.8. Suppose 0 = -2*s + 3*z, -4*s + 8 + 0 = -2*z. Suppose -18 = -s*i + 2*u, 5*i - 11 = -6*u + 3*u. What is the nearest to 0.1 in i, o, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.05, -13, -0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 2, 7, -4\/9 in descending order.\nAnswer: 7, 2, -0.2, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 + 2*l**2 - 4*l = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9560 is divided by 1065.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 6. Suppose -5*z + 0*n + 3*n + 26 = 0, n + 18 = 3*z. Let f be y(z). Suppose -2*r + f = r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 12\/11 (b) -5 (c) 2\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z - 38. Let t be w(-5). Suppose -2*f = -5*k - 4 + 18, 0 = t*f - k - 2. Solve -f*n + 10 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2*z - z + z) + (1218 - 632 - 608)*(3*z + z - 6*z)*(1 - 4 + 1).\nAnswer: -90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*p + 4 = -5, 4*a + 12 = -2*p. Let k be 0 - 35\/14 - a\/6. Let u(o) = -8*o - 3. Calculate u(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:35 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 12 = 0. What is the second derivative of 7*j - 5*j**5 + v*j**5 + 6*j**5 wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -259*s - 748?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.57 + -0.33. Let n = x - -1.93. What is n rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320284606?\nAnswer: 2, 160142303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7495997*j**3 - 6*j**2 - 6*j - 3. Let h be r(-1). Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 2*t**2\/3 - 4*t\/3.\nAnswer: 2*t*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 14263.78 kilometers?\nAnswer: 14263780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 127824\/693 + 2\/(-14). Let b = h + -1284\/7. Find the common denominator of b and 95\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(396) - (sqrt(396) + ((2*sqrt(396))**2 - sqrt(396)) + -3))).\nAnswer: -18*sqrt(11) + 4734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 41 = d, 3*g = -2*d - 42 - 60. List the prime factors of ((-18)\/15)\/(2\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6915*h**3*o - 30662335*h**3*z - 47453*h*o + o*z wrt z?\nAnswer: -30662335*h**3 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -17. What is the remainder when (46 - i) + (-12)\/4 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -190975454 divided by -95487727?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-488 - 354 - 1449 + 63 - 1679)*(y**3 + y**3 - 8*y**3).\nAnswer: 23442*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 9*j + 3. Let k be c(9). Suppose -8 - 2 = -3*f + 4*p, k*f = 2*p + 8. Solve f*z + 2*q = 14, -3*z + 5*q - 17 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -699 - -704. Sort q, -3, 33 in descending order.\nAnswer: 33, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5609094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 19. Let d(x) = 2*x + 9. What is -9*d(k) + 4*g(k)?\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*-4*(-3*(sqrt(80) + sqrt(80)*3) + sqrt(80) - 3*3*sqrt(80)) + 0))**2.\nAnswer: 4608000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 8 + 0*l + 0*l**2 + 1\/3*l**3. Let j(y) = -4*y. Calculate j(b(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8 + -1dc?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1755, -3440, -5125, -6810, -8495?\n\"Answer: -1685*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-35))**(-1\/47) assuming j is positive.\nAnswer: j**(35\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -33. Let p = v - 9. Let i = -6 + p. What is the second smallest value in -1\/6, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m - 4. Let f be t(4). Let b = f - -32. What is b rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220076 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 2*b**3 + 5*b**4 - 3*b**2 - 6*b**4 - b**4 in the form k*b**3 + v*b**2 + o*b + a + i*b**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5597 and 36\/319.\nAnswer: 61567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*g + 58 = 0, 0 = 4*g + 367 - 379. Let b be (-1 + 4)\/(3\/(-34)). Let y = b - c. Let j(l) = -4*l + 3. Let h(o) = 1. Determine y*j(m) - 5*h(m).\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4313.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 457 + -293.5. Let b = -163 + v. Let y be (-4)\/14 - 29\/(-28). What is the closest to y in b, 0.1, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182102 - -456591. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/5)\/((-30)\/4000). Round g to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Let w(n) = n**2 + 9*n + 8. Let c be w(-8). Let i = k + c. Solve -i*v - 10 = -2*h + h, -h - 2 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -185\/6 (b) -1.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -316346, -316347, -316348, -316349, -316350, -316351?\n\"Answer: -d - 316345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105658049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -896337*t**2. Let u(z) = z**2. Give p(u(q)).\nAnswer: -896337*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s - 3 + 3.\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 + -0.718822.\nAnswer: -2.318822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-336)*(-150)\/(-8). Let c = 11\/16 - s. Sort c, 0.5, -0.5.\nAnswer: -0.5, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -2575.6531.\nAnswer: -2575.4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 216 - 204 = 0. Let k be -4 - -2 - (-14 + c)\/6. Is -2\/757 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 97, -4, -30, 2, 31 in increasing order.\nAnswer: -30, -4, -3, 2, 31, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*l - 5*u - 11, -5*l + 3*u - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.38 + 0.38. Let i = 0.06 - 0.06. Let r = 26 + -132\/5. Put i, r, d in decreasing order.\nAnswer: i, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 35. Solve -3*s = -4*s - v - 7, -c = -4*s + 2*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 16 = l, -2*l - 39 = -41 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4371.94 + 4418. Let n = -46 + i. Which is the third biggest value? (a) 4\/7 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbzzbblzbrbbmbzr. What is prob of sequence bb?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5176 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/14)\/(8\/(-4)*(-15)\/(-55))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**8\/112 + y**7\/70 - y**6\/40 - y**5\/20 - 4*y**2 - 16*y. Determine g so that t(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(90)*2*3)\/(sqrt(1152) + 1*sqrt(1152) - sqrt(1152) - (sqrt(72)*-1 - sqrt(72))).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 18178.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 5*s - 887. Let p = -48 - -53. Determine t(p).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*-312*(2\/(-7))\/((-342)\/171).\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66489 is divided by 16600.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:18 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/20 - 3*z**4\/4 - 11*z**3\/6 + 7*z**2\/2 + 10*z - 1. Calculate f(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 2. Let l = r + -11. Solve 4*u = -5*c + 21, -21 + l = -u - 3*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67437.14 rounded to the nearest 1000?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 2*m + 2350, 0 = 4*i - 4*m - 3140. Suppose 18*p = -21*p + i. What is the lowest common multiple of 270 and p?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**3 - 3*d - 2. Does 7 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2115333 and -2115369 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155 (base 6) in base 14?\nAnswer: -4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 19*l - 7084 = 0. What is the greatest common divisor of l and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1034 divide 318945572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.9 - -8. Suppose 0 = 5*x - 10 - 0. Let w be (x + (-1 - 0))*-1. Which is the smallest value? (a) y (b) w (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 4\/1)\/(-1). Suppose p + l + 3 = 0, -4*l = y*p + l + 11. Is p - (0 + 1)*-639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4109 (base 12) to base 4\nAnswer: 1232121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 + 87*b - 190. Let z be k(9). Solve 0 = 18*l + 82 + z for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9526, -9515, -9506, -9499, -9494, -9491?\nAnswer: -9490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 17 - 3. Suppose -10*v + z*v + 8 = 0. What are the prime factors of (v\/4)\/(11\/(-638))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.214 + -0.25. Round s to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222287 - 2166*k + 78787*k + 26203*k - 222286.\nAnswer: 102824*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(-3*3\/(-72))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 604.9.\nAnswer: 641.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/11)\/f)\/((f*(f**(-17)*f)\/f)\/f)*f\/(f**20\/f)*f*f**(-2\/7) assuming f is positive.\nAnswer: f**(-141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -4 + 0 + (-36)\/(-4). Find the second derivative of -2*t**5 - 194*t**3 + 12 + 0*t + y*t**4 + 2*t + 194*t**3 wrt t.\nAnswer: -40*t**3 + 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -92708*h**3 - 91994*h**2 + 758*h + 44 = 0.\nAnswer: -1, -11\/602, 2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491 divided by 2.\nAnswer: -491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (2 + (-38)\/9). Let n = -21 - -17. What is the second smallest value in 5, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*p - 4*p**4 + 134047*p**2 - 67019*p**2 - 2*p**3 - 67028*p**2 as z*p**3 + x*p + q*p**2 + i + a*p**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*m + 87381397*m**3 - 87381399*m**3 + 143*m + 31*m**2.\nAnswer: -2*m**3 + 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 33*t + 2. Let g be q(2). Let y = g - 57. Let f(o) = 3*o - 2. Calculate the remainder when y is divided by f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 - 11?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Let v = a + 0.012. Let g = v + -0.0120101. What is g rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 + 2*k - 3. Let g be l(-3). Let h be 4 + 17\/(-5) + -1. What is the nearest to h in -0.2, -8, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4090 is divided by 227.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 + -5 + 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1133504, -4534040, -10201600, -18136184, -28337792?\n\"Answer: -1133512*o**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from {v: 1, o: 1, p: 2, s: 2, i: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -2 (c) -0.0134 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.567+0.3\nAnswer: 3.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 1\/2 (c) 1\/9 (d) -3\/16 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0847223842 to 5 decimal places.\nAnswer: -0.08472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15 = g, -5*g = 4*k - 113. Suppose -108 = -5*p - 93, -2*t - 2*p + 62 = 0. Calculate the remainder when (1 - -2) + 7\/(t\/k) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 23291?\nAnswer: 23292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -5 (d) -0.4 (e) -0.5 (f) -22 (g) -5758\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(1 - 1 + 2*p) + p**2 - 3 + 3 + 3*p**2 + 0*p**2 + 0*p**2 + (0*p + 0*p - p)*(556*p + 68217 - 68217).\nAnswer: -550*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 + 6*t**2 + 2*t - 6. Let z(g) = 7*g**3 + 7*g**2 + 3*g - 7. Give 6*c(j) - 5*z(j).\nAnswer: j**3 + j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907064849.\nAnswer: 3, 23, 139, 198839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 3 (c) -2\/9 (d) 2\/145107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190851 - 122907931\/644. What is the common denominator of -1\/28 and s?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -841 - 33?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139814870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 614 - 615. Sort i, 0.06, 0.\nAnswer: i, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1592170.2364 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5132.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104035 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 = -707*j + 754*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72071837*r**5 + 87321107*r wrt r.\nAnswer: 1441436740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5555 + -5544. Sort 5, 10, -4, 1, v in ascending order.\nAnswer: -4, 1, 5, 10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(204) - sqrt(204)*2) + (2*2*sqrt(204) - sqrt(204)) + sqrt(204))\/(6*((sqrt(588) - 1*sqrt(588)) + sqrt(588))).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.39822771 and -1.\nAnswer: 0.39822771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/11 + 1279804*c\/11 - 204737284802\/11 = 0. What is c?\nAnswer: 319951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.8. Which is the biggest value? (a) -47 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r - 4. Let n(w) = -19*w + 9. Let s(m) = 4*n(m) + 9*q(m). Let z be s(1). Suppose 2*c - z = c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*k + 6 - 11, i - 1 = 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (63\/12 - 5)*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 174*t - 2879. Calculate o(22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1159, 1175, 1159, 1093, 959, 739, 415, -31?\n\"Answer: -3*t**3 + 2*t**2 + 31*t + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 5 + 3 + 0. Let o = 42 - 24. Suppose 5*i + o = a - 4, -5*a - l*i - 10 = 0. Solve a*t - 2*v + 18 = 0, 3*t + 5*v - 12 - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2027*k + 2099*k = 2160 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2969*w - 9*w**3 + 16972*w**2 - 2969*w.\nAnswer: -9*w**3 + 16972*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i + 5. Let f be q(-4). Suppose -4*y - y + 15 = 0. Suppose 0 = y*t + 2*t. Solve 2*u = -1 + 3, 4*l - u + f = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Suppose l - 18 = -2. Suppose l = 4*c - 4. Let w(n) = -1 - 3*n - 4 + c. Calculate g(w(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/31? (a) -0.4 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*k - 90 = 2100. Let g(i) = i**3 - 15*i**2 + 3*i - 20. Calculate g(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 28*p + 648 = 0, 9 + 103 = -2*l - 3*l - 11*p + 7*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 6*b + 0*b)*(4*b - 3*b + b) + (-b + 2*b + 0*b)*(2 - 2 - 2*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 7*p + 3*p - 2*p - 33 + 33, -2*m = 3*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-18)\/(63\/((-9513)\/302)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l + 209834 - 1102386 = 5*l. What are the prime factors of l?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/24*4 - -11. Let d = -15 - -18. Find x, given that v + 2*x**2 - 6*x - 2\/9*x**d = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 (base 11) in base 8?\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from zffffzf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 6 + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9522.268 centimeters?\nAnswer: 95222.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 9. Let t be a(-8). Let s be 1 + 1 + 0 - t. Put -3, s, -2 in increasing order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3792\/(-60)*90\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3 + 5 - 2. Let z = u - -2. Solve z*t = 2 - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 11. Let w be t(33). Solve 5*l = 2 - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -149618*m + 1. Let c be a(-1). Let j = -94616 + c. Suppose 5*f + b = -j, -5*f = 2*b - 3*b + 54997. Round f to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35245)\/16112*(9\/3)\/(-15).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4\/7 + 31581*h**3\/7 - 9538488*h**2\/7 + 104440752*h + 553692672\/7 = 0. What is h?\nAnswer: -3\/4, 156, 7584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932001 is divided by 192?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 2, i: 1, j: 2, v: 1, m: 2}. Give prob of picking 2 i and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = 8. Let r = g + -7. Put -6, 2, r in descending order.\nAnswer: r, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175864836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 5*b + 5*b + (-5*b**2 + 16*b**2 + 8*b**2)*(2*b + 2*b + 3*b).\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2*k**(-13))\/(k**(-5)\/(k**(-1\/2)\/k)) assuming k is positive.\nAnswer: k**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {a: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 1. Let q = -15 - -10. Let b be n(q). Let t = b - -84. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 40664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*m + 0*m + 136*m + 145*m - 111*m to the form v*m + u and give v.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:34 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 6*l**4 - l**4 + 2 + 1582*l**2 - 3172*l**2 + 1595*l**2 + 2*l + l**3 in the form x + d*l**4 + r*l**3 + f*l**2 + m*l and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 14\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 256 = -0*w. Let m(f) = -3*f + 3. Let h be m(-3). Let j = w - h. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1032\/37, 3\/4, 57.\nAnswer: -1032\/37, -18, 3\/4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4 + 8\/(-2). Let r = -459 - -456. Which is the nearest to d? (a) r (b) -0.5 (c) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 - -0.6. Suppose 2*q = -q - 9. Which is the second biggest value? (a) q (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/14 + 38*v**3\/21 + 172*v**2\/7 + 520*v\/7 + 4493. Factor t(g).\nAnswer: -2*(g - 26)*(g + 2)*(g + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2826 (base 13) to base 9.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -19*g + 227. Sort 2, 2\/3, g in ascending order.\nAnswer: 2\/3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*x - 13 - 5, 3*x + 5*d + 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 11*q + 12. Let j be w(10). Suppose -p = -o + 191, 2*o + 5*p - 800 = -j*o. What are the prime factors of o?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2257, 0.3, 2?\nAnswer: 2257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34180*a*n + 54299*a - 1 wrt n?\nAnswer: 34180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*a - 2*a = 14, -3*a + 8*a = -3*s - 36 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4004 = 3*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 132*i**3 - 14*i**2 + 0*i**2 + 2*i - 2*i**2 - 17*i**2 in the form r*i + y*i**3 + s*i**2 + d and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1869)\/(-252) - 15\/4?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107987.139 to the nearest ten.\nAnswer: 107990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 2. Let z be f(12). Find the common denominator of 57\/16 and 1276\/240 + (-6)\/z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.42?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*m**2 + 1906*m**2 - 9516*m**2.\nAnswer: -7362*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1896 + 32264\/17. Determine u so that -128\/17 - 2\/17*u**2 + d*u = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54151 is divided by 94.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/49260 and -121\/138.\nAnswer: 1132980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790460197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -550*h**2 - 13*h - 2. Let l(i) = -1099*i**2 - 23*i - 3. What is 4*l(s) - 7*w(s)?\nAnswer: -546*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -4)*(-1 - -4). Suppose 0 = g*c - 2*c - 3, -4*x - 2*c + 62 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 48. Suppose -h - 36 = -r. Is -1 + (379\/(-1))\/h - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -347 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 59 (b) -1 (c) 1 (d) 234\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/48 + 21\/72\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 205 - 67. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1218 and -19\/39508?\nAnswer: 3437196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 3*j + 13, -2*j + 50 = 4*l. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -3\/7, 15, 10\/39 in ascending order.\nAnswer: -3, -3\/7, 10\/39, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from vavaygyvggvvsvag.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -2242, -5038, -8952?\nAnswer: -13984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.06 + 0.06. Let b be (-44 - (-138152)\/3136)\/(2\/14). Put b, k, -5, 6 in descending order.\nAnswer: 6, b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78*(-2)\/54*90\/35?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004827692 rounded to 7 dps?\nAnswer: 0.0004828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2719*p + 5743*p - 2824*p in the form m + o*p and give o.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3*((-552)\/(-64) + -9). Determine a, given that j*a**2 + 0 - 1\/2*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.751 - -0.249. Let g be (-4)\/18 + (1 - 39\/(-54)). Let w be -1*(2 + 1)\/3. What is the nearest to -1 in w, n, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 34. List the prime factors of s(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1548 and 3612.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10010001101220 (base 3) to base 10\nAnswer: -1654395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from ghlggblblbbltbblgghh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) + 2*sqrt(66)*3) - (sqrt(66) + 2*-1*sqrt(66)))\/(-5*sqrt(864)*2 - (sqrt(864) + 2*sqrt(864)*-5)) + -2.\nAnswer: -2 + 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.75 - -32. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f + k + 9, -2*f - 3*k - 1 = 0. Let w(u) = -3*u + 5 + 3 - 3 + 2. What is the remainder when 40 is divided by w(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2904 = -2434. Solve 90*g - h*g - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**3 - 2\/5*u**5 + 0*u**4 - 2*u**2 + 0*u - 3. What is the second derivative of t(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -0*r - 3*r + w, 5*w + 20 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t. Is 718 + 3\/(-3 - t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6*s**2 - 9*s + 39. What is m(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*((-2*sqrt(3969))\/sqrt(7) + 5)**2*6.\nAnswer: -13761 + 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/8*(-6)\/9. Suppose 0 = g - 5*c - 29, 3*g - m*c + 2*c = 45. Let b(v) = g*v - 3*v - 2*v - 8*v. Let p(y) = 14*y**2. Give b(p(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**4 - 6*z**4 + 5 - z**2 + 2*z**3 - 3 to m*z**3 + p + v*z + y*z**4 + r*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23988*i**2 - 23987*i**2 - 23988*i**2 + 71967*i**2. Let c(m) = -27*m**2. What is a(c(k))?\nAnswer: 2916*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnhwwnnwwnh. What is prob of picking 2 n and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 2:56 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 47*h - 1159. What is the remainder when 99 is divided by d(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2 - (-10)\/2. Suppose -6*f + 2 = -8*f. Let o be f + (-2)\/z + 2. Which is the third smallest value? (a) -2 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -4*z + 1294, 2*r + 968 = 3*z. What are the prime factors of z?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 326*n**2 + 5560*n + 3. Determine h(-17).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 46*m**2 + 2959*m + 103. Determine p(-64).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 c when three letters picked without replacement from {g: 1, c: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25167?\nAnswer: 3, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82525, 165029, 247533, 330037, 412541, 495045?\n\"Answer: 82504*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-495)\/60)\/(-33))\/(5\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*c + 1939*c**3 - 3969*c**3 - 465*c + 1948*c**3.\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)\/f)**(-3\/8)\/(((f*f\/f**(-2\/3))\/f)\/((f*f\/(f*f*f*f\/((f\/((f\/f**(3\/5))\/f))\/f)*f))\/f))*((f**2)**9)**(-9) assuming f is positive.\nAnswer: f**(-20003\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 70 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 3549?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 3. Let r be x(3). Is -1 + (24 - 0)\/r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*q - 2*q - 3*v, 3*q = -5*v + 2. Let n be 15\/20 - q\/60. Let a = -0.968 + 0.868. Sort n, a, -1 in increasing order.\nAnswer: -1, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 18. Solve -3*b - 5*c = 16, -5*c + 4 - x = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -14 (b) -1 (c) -0.2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8 or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*t - 1661 + 1661 + 4*t - 2*t - 4*t + (3 - 1 - 4)*(-5*t + 2*t + 4*t) + 2*t - 2*t - t - t - 3*t + 3*t + 5*t - 2*t + 0*t + (4 + 3*t - 4)*(4 + 3 - 5).\nAnswer: -136*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(567) - (sqrt(567) - (sqrt(567) + -1 + 5))) + 2 + -4)*4)**2.\nAnswer: 432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 14*l + 7*l**2 - 3*l**2 + 2*l**2.\nAnswer: 6*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -0.4, 241, 0.13, -0.59, -1\/3?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159794163 to the nearest integer?\nAnswer: 12641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 6 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:28 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/3))**(-13)*(l*l\/(l**(1\/4)\/l))**(1\/19))**17 assuming l is positive.\nAnswer: l**(-66623\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14614108283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/11934 and -85\/702.\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/5 + 902436*r**3\/5 + 67879429698*r**2\/5 + 407154757428*r + 3053356138935 = 0. Calculate r.\nAnswer: -150391, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -161*f + 201*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2535, -1632, -5799, -9966, -14133?\n\"Answer: -4167*w + 6702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*r**2 + 1570*r**2 - 1422*r**2 + 2*r - 2*r.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (779 + 0*l - 1219 + l)*(l - l + 2*l).\nAnswer: 2*l**2 - 880*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10253385 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + -1 + sqrt(1331) + 4 - (sqrt(1331) + (-2*sqrt(1331) - sqrt(1331))*6 + 3))**2.\nAnswer: 396*sqrt(11) + 431248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132163?\nAnswer: 23, 43, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3.6, -0.06, 1, 5, -5 in descending order.\nAnswer: 5, 3.6, 1, -0.06, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 + 63. Let t(r) = r**3 - r**2 - r + 1. Let a(c) = -15*c**3 + 63*c**2 + 60*c - 18. Let x(z) = g*a(z) - 6*t(z). Factor x(p).\nAnswer: -3*(p - 4)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23566?\nAnswer: 2, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-5)*2*(-1125)\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -249*l + 2. Let j(a) = 2*a - 63. What is j(h(c))?\nAnswer: -498*c - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from ggjfgbwgjggggfgg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 22*m**3 + m - 3\/2*m**2 + 8. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 13702. Suppose -6*x + f = 11*x. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 639311473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3)\/((-4)\/(-6)). Let q = 4 + w. Let a = q - -6. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**3\/6 - 3*y. Let f(l) = 4*l. What is b(f(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 > 3704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2399, 2390, 2369, 2330, 2267?\n\"Answer: -l**3 - 2*l + 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50797?\nAnswer: 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00748 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/((-2)\/4). Let b(y) = -2*y + 3. Let q be b(j). Suppose z - 24 = -q*z. Solve -z*k + 3 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 6731575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*d - 14, -t - 8 = -2*t - 2*d. Suppose 2*a = -t*a + 1948. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = 2*h - 15, 5*s + 45 = 5*h. Is 3 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 8 = 80. Let r(o) = o**3 + 9*o**2 - 3*o. Calculate r(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8951 (base 12) in base 7?\nAnswer: -2032156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 + u + 3. Let k(l) = -l**2 + l - 1. Give d(c) + 5*k(c).\nAnswer: c**3 - 2*c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 301045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*f**2 - 333*f**2 - 3 + 3.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 3*b**3 + 0*b**3 + 2*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345970 divided by 105?\nAnswer: 50914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5, 41 = -4*r + 4*p - 19. Suppose h + 3*h + 52 = 0. Let d = h - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -39 - (-1242 + 1210)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5329 is divided by 109?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 - 262.1. Let a be (0 - 0)*1 + 1. What is the closest to a in -2\/3, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*a - 20. Let o be a\/6*(-18)\/12. Suppose -m = -o*m. Solve m*g + 9 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let m(t) = -69*t**2 - 12*t + 6. Suppose 27 + 105 = 22*y. Let w(c) = -70*c**2 - 14*c + 7. Let f(g) = y*w(g) - 7*m(g). Determine f(r(s)).\nAnswer: 63*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**4 + 56*n**2 - 10886*n - 2 wrt n?\nAnswer: 72*n**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143610 + 60?\nAnswer: 144000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/79384 and 63\/76?\nAnswer: 1508296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*((19*s - 14*s - 12*s)*(-s**2 - 3*s**2 + s**2) + (-66 + 66 + 9*s)*(3 - 3 + s**2)) as o + b*s**3 + v*s**2 + y*s and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -1728, -3906, -6960?\nAnswer: -10890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/89 (b) -10\/7 (c) -4.354 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*k + 0 + 0 = h - 3*k - 11, 85*h = 3*k - 413 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 8) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -201248*x - 8203*x**3 + 201248*x + (0*x - 4*x + 2*x)*(1 - 1 - 2*x**2).\nAnswer: -8199*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226 - 22?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3172*l**3 - 5*l**2 - 1338*l + 2?\nAnswer: -19032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*g**2*t**2*v**3 - 23*g**2*t*v**2 + g**2*t*v - 15*g**2*v**4 + 2*g*t**2*v + 8 wrt v.\nAnswer: 1200*g**2*t**2 - 360*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2. Let f(j) = 31946*j. Calculate f(s(q)).\nAnswer: 127784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20))\/((-5)\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 17. Let a(p) = -p**3 + 13*p**2 - 22*p + 2. Let d be a(11). Let l be c(d). Solve n = 2*y + 2, n + l*y + 2 = -1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99518 not equal to 99536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z + 4*r - 46, z - 17 = -5*r. What is the biggest value in z, -0.1, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 16. Let k be 0\/(r\/(-15)*5). Suppose k = -2*h + 4*d + 48, 8 = -d - d. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*i + 5 - 4 - 1.\nAnswer: -301*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29503 + -4.\nAnswer: 29499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 106*l**3 + 54*l**3.\nAnswer: 173*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 less than 16?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(32\/(-6) - -4). Suppose 3*k - 7*k = t. What is the remainder when 50 is divided by (-12)\/k*(0 + (-6)\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*t = -2, -5*k + 16 = -t + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -2, -1\/10, 1, -3\/4, 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose v*z - 5 = -2*s + 4, -z + 4*s = -17. Solve -c = -z + 4, b = -4*c + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1928 - -11.1928. What is the second smallest value in 0.3, c, -0.2, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 23*a**7\/210 - a**5\/12 + 5*a**2 - 29. Let p(m) be the second derivative of z(m). Find the third derivative of p(f) wrt f.\nAnswer: 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 19 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9\/5)\/(w*w**(-13)\/w))\/(w**(-16)*w*w\/(w**(2\/19)*w)*w))**(1\/2) assuming w is positive.\nAnswer: w**(1202\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*t - 6*t = -136, -b = 2*t - 23. What is the second derivative of -45*u - 14*u**2 + 29*u + 18*u + b wrt u?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let b(z) = -35*z + 2. Let s(d) = -141*d + 9. Let l(o) = 9*b(o) - 2*s(o). Give q(l(m)).\nAnswer: -1089*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l + 1. Let a(y) = -y - 28. Let v be a(-30). Suppose v*w = 7*w + q + 11, -q = -w - 1. Let x(n) = 3*n**3 - 2*n + 3. What is w*b(m) + x(m)?\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-13 - (-32 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13*(-2067)\/(-1113)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 6\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8494 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -17. Suppose -2*y + 72 + 260 = 0. Let f = y + l. Calculate the greatest common factor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 325723247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(6*r + 11*r - 4*r + (-1 + 4 - 1)*(r + 2*r - 2*r)).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(21) + (sqrt(336)*-3 + sqrt(336) - sqrt(21) - sqrt(21)) - sqrt(21)) + sqrt(21))\/(sqrt(33)\/(sqrt(11)*-1))*3.\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145511049 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10 + 0*b**2 + 13*b**2 + 39*b**2 + 0*b**2. What is the units digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3354*g - 30112. Calculate v(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 139, 353, 693, 1183, 1847, 2709?\n\"Answer: 4*g**3 + 27*g**2 + 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 4. Calculate the remainder when 21 is divided by k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let g be -2*(0 + (b - 1)). Let o = -3007\/5 - -602. What is the closest to o in 0.2, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 201 = -3*j, g = -j - 3*g + 62. Suppose o = -4*o + 90. What is the remainder when j is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 328180.2m?\nAnswer: 328180200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 35 + 35 - 2*q**2 + q. Let v be a(1). Let u be (1 - (-799999 - v))*25. Round u to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - (-7)\/2. Suppose -c*q = -2*j - 0*j + 130, 125 = 2*j + q. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*5.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let s(l) = -166*l**2 + 124*l**2 + 278*l**2 + 186*l**2. What is c(s(p))?\nAnswer: 356168*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - h = 3*h - 78, 4*r = -2*h + 132. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/11 - -32\/55. Let q = 98 - 77.9. Let o = q - 20. What is the closest to z in o, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -106 + (9 - -14) + (-1 - -49).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5814336 times -1?\nAnswer: 5814336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + 3*sqrt(80) - sqrt(80))**2*6.\nAnswer: -192*sqrt(5) + 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*a**4 - 4*a + 4*a + (-9 + 1 + 0)*(-2*a**4 - 2*a**2 + 2*a**2) as k*a**3 + n*a + q*a**2 + l*a**4 + t and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 6, q: 5, x: 1, f: 4}. What is prob of sequence bqx?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 83292*j + 499713. Calculate t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 73 + 5*o**2)*(5 - 5 - 10*o).\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/(-15))\/(3*(-6)\/90))\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1673 - 532. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*m**2 + 145*m - m**3 + 134*m**2 - 263*m**2 - 41*m - 3 + 55*m in the form h*m**3 + y*m**2 + s*m + p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, k: 7, s: 3, d: 1, q: 4}. Give prob of sequence qek.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(84)\/sqrt(48) + -2.\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 171*y - 711. Determine w(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -2, -9, -453?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231 - 227. Suppose y*k = k + 2454. What are the prime factors of k?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 750 = 9. Let r = w - -72. Put 5, r, 14, -1 in ascending order.\nAnswer: -1, r, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000666023 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 (base 7) in base 4?\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 51666.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2294039.\nAnswer: -9176156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:29 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/8, 1.2, -1\/2, -38, -2, 2\/7, -5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 41164?\nAnswer: 41164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:58 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let q(j) = 105*j - 20. What is q(x(k))?\nAnswer: -105*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12*2\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3 + 215*w + 19\/2*w**2 - 1\/12*w**4 + 0. What is k(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -81.6143 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 45*i - 398. Give x(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u. Let s(b) = -b - 46. Let g be s(-15). Let q = g + 33. Let v(r) = 71*r**2 - 36*r**2 - 38*r**q. Calculate v(h(a)).\nAnswer: -1728*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjpjxyvjhvh. What is prob of sequence yv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588066 + 1715066. What is h rounded to the nearest 10000?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 67*s + 265. Calculate q(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -5. Let o(v) = v**2 - 12*v + 2. Let g be o(c). Solve 5*w - 1 + 22 = -g*r, -4*r - 4*w = 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 1100538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 + (-684)\/(-15). Let m = w - 25. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p*p**(-2\/15)*(p*p\/((p**(-1)\/p)\/p))**(-4\/15))**(-9\/4) assuming p is positive.\nAnswer: p**(381\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/1652*(-1080)\/1350\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5 - 5)*(0 + 2 - 1)*(-6160 + 6161 + 422*t**4 - 60*t**4).\nAnswer: -1086*t**5 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*a**5 - 6*a**2.\nAnswer: 9180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {g: 2, z: 10, f: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z**2 - 85*z**2 + 181*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-42) + -8 - (6\/21)\/2. Let l(q) = 4*q**3 - 5*q**2 + 7*q - 11. Let b(u) = -2*u**3 + 3*u**2 - 4*u + 6. Give h*b(v) - 4*l(v).\nAnswer: -2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13209811 * -3\nAnswer: 39629433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12307\/24 - 513. Calculate the common denominator of -59\/30 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cteqdcetdtdhe. What is prob of picking 2 c, 1 q, and 1 h?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/32? (a) -0.3 (b) 1\/23 (c) 0.1 (d) -0.4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (265\/(-4))\/(-5)*44 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 2 + 1 + 1. Let m(k) = 2*k. Determine m(j(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24939 is divided by 3410.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25509 is divided by 8499.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 6*z**2 - 45*z**3 - 3*z**2.\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17154 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4373, 3774, 2073, -1282, -6843, -15162?\nAnswer: -26791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-10))\/((-1650)\/1100)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + 10)*(1 + 1 - 3*z + 5*z).\nAnswer: 26*z + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) -5\/6 (b) -0.265 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23111*i + 9 + 6 + 79871*i.\nAnswer: 56760*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9))\/((-98)\/49)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -86. Let u be 108\/r*(-5)\/2. Suppose 105 + 150 = u*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = -2*a, -2*a - 5*j + 5 = -a. What is the remainder when (-63)\/(-1) + a\/(-5) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 601894345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4)*(-27)\/(-6). Let c be ((-21)\/b + -2)*15. Suppose 5*t = -2*a - 11 + 31, a + 12 = 3*t. Solve t*f + c = -q, 0 = q + 3*q + f + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 3525. Suppose -5*t - 455 = -w. Calculate the highest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 494 = 142. Suppose 0 = 7*z - 19*z + 384. Calculate the greatest common factor of z and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -38*(-8)\/12*3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smsb when four letters picked without replacement from {h: 2, m: 6, b: 4, s: 2, v: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*w - 2*w + 76 = 0, 5*k - 3*w - 334 = 0. Let y be 1\/(1 - k\/72). Solve -5*l - 2 = 4*a - 0, -3*l = -4*a - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 9*u**2 - 6*u + 6. Let n be l(-9). What is the greatest common factor of 150 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/8849 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1421*k + 1426*k = 195. Solve -k = -5*b + 2*z - 14, -3*b - 4*z - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 6)*(3 + 1 - 5)*(-29 - 43 + 30)*(-l + 2*l + 0*l) to m + h*l and give h.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3339943*m**3 + 80*m**2 - 2*m**4 - 3340019*m**3 - 2*m**4.\nAnswer: -4*m**2*(m - 1)*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07931 rounded to three decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41019 = 3021*r - 1778*r for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iin. Give prob of picking 1 n and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, 3, -1\/6, 58?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 3, z: 3, c: 2, d: 1}. What is prob of sequence czk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -8 (c) -5.43 (d) 4 (e) -1\/4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 1 - r**2 - 64*r**4 + 62*r**4 - r**2 to k*r**2 + i*r**3 + f*r + s + n*r**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 4 - (0 - -1) - (-45 - -53)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(0 + (-4)\/(-3)) + (-3 - 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8250*m + 49434. What is b(6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5\/4 - 54*s**4 - 5337*s**3\/4 + 4143*s**2\/2 + 117441*s + 417690 = 0.\nAnswer: -17, -6, 10, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2073501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/120 + v**5\/12 - v**4\/4 + 2*v**3\/3 - 61*v**2\/2 - 3*v - 3. Let r(b) be the first derivative of x(b). Determine r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*j = -2, 16*o - 3*j = 15*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 0. Let u = 0.31 - 0.61. Let z = -2 - -2.1. Which is the closest to r? (a) -5 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -30. Suppose 0 = 5*q - 3*u + p, 0 = -u - 0*u + 2. Suppose 150 = 6*v - q*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 573c + 2?\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/526 (b) 2\/3 (c) -0.4 (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 733. Suppose 5*j = 4*f + 798, -4*j + 5*f + 0*f = -q. Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 15711232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01889097 to five decimal places.\nAnswer: 0.01889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -80*t**3. Let a be h(-1). Let x be (-8)\/(-28) - a\/35. Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 30, 33, -3 in ascending order.\nAnswer: -3, 2, 30, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*o + 4*l + 154, 4*l - 8 = -3*o - 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68006, 136010, 204014?\nAnswer: 272018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -562*d - 36*d**2 + 22 + 82*d + 45*d**2 + 137 = 0?\nAnswer: 1\/3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 84901.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-2\/11)\/u))**32 assuming u is positive.\nAnswer: u**(1120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g = -w - 65*g - 59*g + 24, 48 = -2*w - 8*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140337.\nAnswer: 3, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23657 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 20. Let c be (8\/(-12))\/((-6)\/(-45)). Let z(w) = w**2 + 3*w + 5. Let t be z(c). What is the units digit of b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64074877, -64074878, -64074879, -64074880, -64074881?\nAnswer: -64074882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -3*c**4\/2 + 3*c**3\/2 + 499*c**2\/2 - 143*c - 1. Find the first derivative of p(o) wrt o.\nAnswer: -36*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-585)\/(-180)*(-2 + 6). What is the highest common factor of 12961 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368)*-3 - sqrt(1368))\/(6*sqrt(6)\/sqrt(3)) + sqrt(190)\/(sqrt(60)\/(sqrt(6)*-1)) + (3 + sqrt(2299) + (sqrt(2299) - (-1 + sqrt(2299))))**2.\nAnswer: 83*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 697138533 a multiple of 6279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76) + sqrt(76) + -5)*-5 - (3*(sqrt(76) + 2)**2 + 2).\nAnswer: -232 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11601 + -44?\nAnswer: 11535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*272\/256*40?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20592 and -67\/468468.\nAnswer: 1873872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d**3 - 8820*d**2 - 51268*d + 13368.\nAnswer: 4*(d - 557)*(d + 6)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.970713 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 + 83*w**2 - 3*w - 14. What is the remainder when h(20) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 5, l: 9, g: 1}. What is prob of sequence lslg?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.03 + -4.37. Let h = -4.34 - y. What is the second smallest value in h, 2, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207 + 713. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11413 = -4*w + 8*m, -4*m = -4*w + 11408. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915380529 to the power of 1\/2, to the nearest integer?\nAnswer: 43765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + 5 + -1 + -3 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(15\/7)*w)**25\/((w*w\/(w**4*w))\/w**(-7\/6)) assuming w is positive.\nAnswer: w**(3377\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -7.3, -3095.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-34)*8*-4*6\/(-48)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132786.5 rounded to the nearest one hundred?\nAnswer: -132800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5.7. Let m = -1910431.3000002 - -1910431. Let p = m + f. Round p to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*m**2 - 186*m**2 - 192*m**2 - 193*m**2 + 980*m**2 - 192*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let x(y) = -7*y - 2. Let w(a) = 4*t(a) + x(a). Determine w(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80912 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: Four letters picked without replacement from sshsaeqshhaf. What is prob of picking 1 e, 1 q, and 2 a?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/((-932)\/(-16)). Suppose 0 = u + 3*o - 15, u + 4 = 2*o - 6. Is u less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l. Let a be q(-2). Let r be ((-32)\/(-40))\/((-2)\/a). Let g = -127 - -127. Solve -y = -g*v - 5*v + 6, 4*y = r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554576689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 142?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2316 + 41639\/18. Find the common denominator of w and -43\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, 1 c, and 1 q when four letters picked without replacement from {h: 4, c: 3, q: 3, p: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 287*z - 1121. Determine m(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -94. Let j(a) = a + 8. Let n be j(-6). Find the third derivative of r**2 + 3*r**n - 13*r**3 - v*r**3 wrt r.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l - m, 5*m = -4*l + 3*m + 16. Suppose -l*x = -x. Let q = 0 + 0. Which is the closest to q? (a) -0.1 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) 1\/3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/11 - 46*v\/11 = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 4952524?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18))\/sqrt(9)*-1 - (-3 + sqrt(128)*2) - (1 + ((sqrt(16) + sqrt(4))*-1)\/((sqrt(4)\/sqrt(2) + sqrt(2))*5)).\nAnswer: -167*sqrt(2)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 34 + 620. Suppose 2*t - 4*l - 78 = 0, 4*t + l = -26 + u. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 + 2*x**2. Let j(b) = -14*b. Determine j(s(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 10*j**2 + 9*j - 3. Let l be m(9). Let w be 180\/(-54) - 2\/(-6). Let c be (-2)\/60*l*w. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 2:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61109, 122215, 183321, 244427, 305533?\nAnswer: 366639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 = y, -3*r = -3*y - 0*y + 3. Let m = y + 5. Suppose -m*w + 118 = 38. 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: Collect the terms in 452*m**3 + 30375*m - 30375*m.\nAnswer: 452*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 7}. Give prob of sequence lgll.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 440?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11180 and 55757455.\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.5. Suppose -3*r - 4*g = 2*r + 196, -2*r - 84 = 3*g. Let h = r - -37. Which is the nearest to -1\/2? (a) h (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 2) + (1 - -2) - -9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 + 3 - 14*d**4 - 15*d**4 + d**3 + 32*d**4 - 5 + 0 + 2*d as r*d + j*d**3 + k*d**2 + v + x*d**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75))**2 + (sqrt(3) - sqrt(12)) + -1 + sqrt(3).\nAnswer: 10*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -7, 0.5, -81, 0, -3 in descending order.\nAnswer: 0.5, 0, -4\/9, -3, -7, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6605534069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*h - 212*h + 11 - 165*h - 10 in the form d + s*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 8. Let u be w(-5). Solve -2*i + u*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 less than -817928861?\nAnswer: -817929085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14723 = -5*t - h, 7*h - 3*h = t - 2953. Let g(w) = -3*w - 12. Let k be g(-5). Suppose 1407 - 5331 = -4*f + 2*v, t = k*f - v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28662 + -39735.\nAnswer: -68397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31800 divided by -7950\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t - 35*t - 12*t - 39*t.\nAnswer: -123*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(5\/(-4773)) + 164\/41 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 128039755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r - 11618 = 107*r. What are the prime factors of r?\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -42)\/((-4)\/8*2\/(-9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 104*s - 116*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**41*(l*l**(-2\/65))\/(l\/l**(-30)) assuming l is positive.\nAnswer: l**(-353\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0) + -5 + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -97\/4. Is -0.1 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let t(a) = -152*a**2 - 10*a + 5. Let b(j) = -152*j**2 - 8*j + 4. Let y(g) = -5*b(g) + 4*t(g). Give z(y(f)).\nAnswer: -23104*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-10) - 4\/(-8). Let l(f) = 2*f**3 - 8*f**2 - 8. Let w(m) = -2 - 1 + 52*m + m**2 - 60*m. Let t be w(9). Let i(o) = -o**2 - 1. Give t*i(k) + y*l(k).\nAnswer: -2*k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w**4 - 1)*(-1 - 3 + 1)*(-3 - 3 - 2)*(2*w + 0*w + 0*w).\nAnswer: 96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 43*d - 5 + 35*d to the form a*d + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**(2\/41)*t*t**(3\/4)*t*t*t*t**3)**17 assuming t is positive.\nAnswer: t**(21879\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294531854 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - 0 - -4) - (11 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 10*c**2 - 2*c**2 - 2)*(2 + 1 - 5).\nAnswer: 16*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13804875?\nAnswer: 3, 5, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194883 is divided by 97406.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649.748 nanometers in centimeters?\nAnswer: 0.0003649748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by -142.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -393 - -3526. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.767547kg?\nAnswer: 6767547000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 913 + -903. Let n(m) = -m - 5. Let i be n(-8). Solve 1 + k = 5*w - i*x, -14 = -4*w + 5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-8)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1878 and -0.5.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 41.039. Let f = o + 0.038977. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111930100.\nAnswer: 2, 5, 103, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:38 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407856663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.7811705 to 3 dps.\nAnswer: 29.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*j - 2*a + 3, 2*j = 3*a - 9. Suppose 3370 + 506 = -12*c. Let n = c - -325. Solve j - n = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 7 + (-63 - -48).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/8 + 101*n\/8 = 0?\nAnswer: -101, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -6*(1*(0 + -2 + sqrt(19)))**2*1).\nAnswer: -816 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 7904.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.394 - 4.394. Which is the fourth smallest value? (a) h (b) -18 (c) -0.1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.074222cm?\nAnswer: 0.02074222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b**3 - 48*b**2 - 258*b - 321. Give d(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.00186, 0, -8 in decreasing order.\nAnswer: 0, -0.00186, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 + 108*z**3 - 109*z**2 = 0?\nAnswer: -109, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 - 9*k**2\/2 - 10*k + 4. What is the units digit of p(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from nkxnkoxnnwkwxwn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -17b4a50?\nAnswer: -17b4a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493318 is divided by 93?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18) + (4 - 40\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 3:54 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/2 + 467*x**3\/3 + 96863*x**2\/6 + 559404*x + 184680 = 0?\nAnswer: -108, -95, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 8*t - 4320 = 0. Suppose -5*u + t = 4*z, 4*z = 12 + 8. What is the remainder when 81 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 107971936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4202*h - 4896. What is the tens digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*o + 642*o - 245*o + 1692 = 0 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -18 - (1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + (sqrt(68) - (sqrt(68) + -2 + sqrt(68) + -1)) + -3)*4)**2*-1*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:07 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28889081 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -1190?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8876\/(-42)*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 2*h**3 + h**2 + 1. Let c(t) = -6*t**2 - 3*t - 1. Let q(z) = -3*c(z) - 2*s(z). Is q(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r + 88*r + 33*r = -27*r - 9234 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 28*c + 29*c + 344, 4*c - 119 = -v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4347362 (base 8) to base 6\nAnswer: 41003110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:54 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-2 + 0 + sqrt(704) + -5*sqrt(704)*-1 - -4*(sqrt(704) - (-1 + sqrt(704) + 2)))**2*1.\nAnswer: -228420 + 5184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1719745ng?\nAnswer: 0.0000000000001719745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 2*v**2 - 3*v + 2. Let w be g(2). Solve 15 + 5 = -w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/5 - (-16 + 25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8777 and 1048?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erejsorjrserebore. Give prob of sequence sr.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(65)*2)\/(sqrt(5) - (-1*sqrt(605) + sqrt(605))).\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in -2, 0.06, 0.0927?\nAnswer: 0.0927","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*x - 2*x - x)*(0 + 5 + 9)*(7 + 2 - 4) in the form w*x + y and give w.\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.3, 19\/4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(226*u**3 - u**2 + 1398 - 1398).\nAnswer: -226*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.6 + 25. Is 2\/5 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - -111220100?\nAnswer: 111221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + v + (-3*v + v + 0*v)*(-1 + 1 - 1))*(-3*v**3 - 7*v**3 + 0*v**3) as d*v**4 + u*v**3 + j + b*v + m*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 3*c**2 + 2 + c**3 - 8*c**2 - 4*c to the form s*c + b + r*c**3 + o*c**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}